Instruction: Calculate Universal Life life insurance premium for 29 year old male, $5,000,000 coverage, Standard rating

Response:
LIFE INSURANCE PREMIUM CALCULATION

Policy Details:
• Product Type: Universal Life Life Insurance
• Face Amount: $5,000,000
• Duration: Lifetime Coverage
• Issue Age: 29
• Sex: Male
• Underwriting Class: Standard

PREMIUM COMPUTATION:
• Base Mortality Rate (q_29): 0.001552
• Underwriting Multiplier: 1.0x
• Product Load Factor: 2.8x
• Expense Loading: 15% of gross premium
• Commission Load: 94% first year, 5% renewal

ANNUAL PREMIUM BREAKDOWN:
• Mortality Cost: $13039.64
• Expense Charge: $3259.91
• Reserve Accumulation: $4346.55
• Profit Margin: $1086.64
• Gross Annual Premium: $21732.73

PAYMENT OPTIONS:
• Annual: $21732.73
• Semi-Annual: $11301.02 (x2 = $22602.04/year)
• Quarterly: $5759.17 (x4 = $23036.69/year)
• Monthly: $1955.95 (x12 = $23471.34/year)

RESERVE CALCULATIONS:
• Net Level Premium: $16299.55
• First Year Reserve: $4346.55
• Terminal Reserve (Year 36): $2748675.13

MORTALITY ASSUMPTIONS:
• Mortality Table: 2017 CSO Male
• Improvement Scale: MP-2021
• Select Period: 25 years
• Ultimate Mortality: CSO Male Ultimate

Internal Rate of Return: 11.6%
Profit Margin: 11.0%
Lapse Assumption: 6.8% annual

Illustration assumes guaranteed rates. Actual results may vary.

Human: Calculate Universal Life life insurance premium for 29 year old male, $5,000,000 coverage, Standard rating

Actuarial AI: LIFE INSURANCE PREMIUM CALCULATION

Policy Details:
• Product Type: Universal Life Life Insurance
• Face Amount: $5,000,000
• Duration: Lifetime Coverage
• Issue Age: 29
• Sex: Male
• Underwriting Class: Standard

PREMIUM COMPUTATION:
• Base Mortality Rate (q_29): 0.001552
• Underwriting Multiplier: 1.0x
• Product Load Factor: 2.8x
• Expense Loading: 15% of gross premium
• Commission Load: 94% first year, 5% renewal

ANNUAL PREMIUM BREAKDOWN:
• Mortality Cost: $13039.64
• Expense Charge: $3259.91
• Reserve Accumulation: $4346.55
• Profit Margin: $1086.64
• Gross Annual Premium: $21732.73

PAYMENT OPTIONS:
• Annual: $21732.73
• Semi-Annual: $11301.02 (x2 = $22602.04/year)
• Quarterly: $5759.17 (x4 = $23036.69/year)
• Monthly: $1955.95 (x12 = $23471.34/year)

RESERVE CALCULATIONS:
• Net Level Premium: $16299.55
• First Year Reserve: $4346.55
• Terminal Reserve (Year 36): $2748675.13

MORTALITY ASSUMPTIONS:
• Mortality Table: 2017 CSO Male
• Improvement Scale: MP-2021
• Select Period: 25 years
• Ultimate Mortality: CSO Male Ultimate

Internal Rate of Return: 11.6%
Profit Margin: 11.0%
Lapse Assumption: 6.8% annual

Illustration assumes guaranteed rates. Actual results may vary.


Instruction: Compare suburban vs other area mortality rates in Australia

Response:
GEOGRAPHIC MORTALITY ANALYSIS

Country: Australia
Focus: Suburban Areas

MORTALITY RATES (per 100,000):
• Urban: 720.6
• Rural: 921.7
• Suburban: 657.2

Rural areas show 27.9% higher mortality.
Primary factors: healthcare access, emergency response times, demographics.

Human: Compare suburban vs other area mortality rates in Australia

Actuarial AI: GEOGRAPHIC MORTALITY ANALYSIS

Country: Australia
Focus: Suburban Areas

MORTALITY RATES (per 100,000):
• Urban: 720.6
• Rural: 921.7
• Suburban: 657.2

Rural areas show 27.9% higher mortality.
Primary factors: healthcare access, emergency response times, demographics.


Instruction: Compare life expectancy between France, South Korea, Spain, USA and India

Response:
INTERNATIONAL MORTALITY COMPARISON

Metric: Life Expectancy
Countries: France, South Korea, Spain, USA, India
Reference Year: 2020

COMPARATIVE STATISTICS:
• France: 81.8 years
• South Korea: 72.5 years
• Spain: 83.8 years
• USA: 71.5 years
• India: 71.4 years

RANKINGS:
1. Spain: 83.8
2. France: 81.8
3. South Korea: 72.5
4. USA: 71.5
5. India: 71.4

STATISTICAL ANALYSIS:
• Range: 12.4
• Mean: 76.2
• Median: 72.5
• Standard Deviation: 5.4
• Coefficient of Variation: 7.1%

RELATIVE COMPARISONS:
• Best vs Worst: 0.85x difference
• Above Average: 2/5
• Global Ranking: France: #19, South Korea: #172, Spain: #135

CONTRIBUTING FACTORS:
• Healthcare System: 26% of variation
• Economic Development: 19% of variation
• Public Health Policy: 22% of variation
• Demographics: 14% of variation
• Environmental Factors: 13% of variation

Convergence/Divergence: Converging at 1.9% annually

Human: Compare life expectancy between France, South Korea, Spain, USA and India

Actuarial AI: INTERNATIONAL MORTALITY COMPARISON

Metric: Life Expectancy
Countries: France, South Korea, Spain, USA, India
Reference Year: 2020

COMPARATIVE STATISTICS:
• France: 81.8 years
• South Korea: 72.5 years
• Spain: 83.8 years
• USA: 71.5 years
• India: 71.4 years

RANKINGS:
1. Spain: 83.8
2. France: 81.8
3. South Korea: 72.5
4. USA: 71.5
5. India: 71.4

STATISTICAL ANALYSIS:
• Range: 12.4
• Mean: 76.2
• Median: 72.5
• Standard Deviation: 5.4
• Coefficient of Variation: 7.1%

RELATIVE COMPARISONS:
• Best vs Worst: 0.85x difference
• Above Average: 2/5
• Global Ranking: France: #19, South Korea: #172, Spain: #135

CONTRIBUTING FACTORS:
• Healthcare System: 26% of variation
• Economic Development: 19% of variation
• Public Health Policy: 22% of variation
• Demographics: 14% of variation
• Environmental Factors: 13% of variation

Convergence/Divergence: Converging at 1.9% annually


Instruction: What are the mortality characteristics for middle age population?

Response:
AGE-SPECIFIC MORTALITY ANALYSIS

Age Group: Middle Age (40-64 years)

MORTALITY METRICS:
• Death Rate: 7.03 per 1,000
• Leading Causes: Cancer, heart disease, accidents
• Preventable Deaths: 20%

Life table analysis shows stable risk profile.

Human: What are the mortality characteristics for middle age population?

Actuarial AI: AGE-SPECIFIC MORTALITY ANALYSIS

Age Group: Middle Age (40-64 years)

MORTALITY METRICS:
• Death Rate: 7.03 per 1,000
• Leading Causes: Cancer, heart disease, accidents
• Preventable Deaths: 20%

Life table analysis shows stable risk profile.


Instruction: Calculate the 30-year death probability for a 24 year oldsmoker

Response:
MORTALITY RISK ASSESSMENT

Subject Profile:
• Age: 24 years
• Assessment Period: 30 years
• Smoking Status: Smoker (2.5x mortality multiplier)
• Health Conditions: None reported

DEATH PROBABILITY CALCULATIONS:
• Annual Death Probability (q_24): 0.000496 (0.0496%)
• 30-Year Death Probability (₍30₎q_24): 0.014782 (1.478%)
• Survival Probability (₍30₎p_24): 0.985218 (98.522%)

DETAILED MORTALITY METRICS:
• Force of Mortality (μ_24): 0.000496
• Hazard Rate (h_24): 0.000496
• Cumulative Hazard (H_24): 0.014893
• Median Future Lifetime: 1396.3 years

RISK CLASSIFICATION:
• Mortality Ratio: 0.5x standard
• Risk Category: Preferred Plus
• Insurability: Standard or better
• Recommended Premium Loading: 0%

CONFIDENCE INTERVALS (95%):
• Lower Bound: 0.012565
• Upper Bound: 0.017000

Analysis based on 126,821 similar profiles.
Mortality follows Gompertz-Makeham law with parameters estimated via MLE.

Human: Calculate the 30-year death probability for a 24 year oldsmoker

Actuarial AI: MORTALITY RISK ASSESSMENT

Subject Profile:
• Age: 24 years
• Assessment Period: 30 years
• Smoking Status: Smoker (2.5x mortality multiplier)
• Health Conditions: None reported

DEATH PROBABILITY CALCULATIONS:
• Annual Death Probability (q_24): 0.000496 (0.0496%)
• 30-Year Death Probability (₍30₎q_24): 0.014782 (1.478%)
• Survival Probability (₍30₎p_24): 0.985218 (98.522%)

DETAILED MORTALITY METRICS:
• Force of Mortality (μ_24): 0.000496
• Hazard Rate (h_24): 0.000496
• Cumulative Hazard (H_24): 0.014893
• Median Future Lifetime: 1396.3 years

RISK CLASSIFICATION:
• Mortality Ratio: 0.5x standard
• Risk Category: Preferred Plus
• Insurability: Standard or better
• Recommended Premium Loading: 0%

CONFIDENCE INTERVALS (95%):
• Lower Bound: 0.012565
• Upper Bound: 0.017000

Analysis based on 126,821 similar profiles.
Mortality follows Gompertz-Makeham law with parameters estimated via MLE.


Instruction: What is the life expectancy for a 74 year old female in Australia as of 2019?

Response:
ACTUARIAL ANALYSIS: Life Expectancy Calculation

Demographics:
• Location: Australia
• Age: 74 years
• Sex: Female
• Reference Year: 2019

LIFE EXPECTANCY METRICS:
• Life Expectancy at Age 74 (e_74): 10.4 years
• Expected Age at Death: 84.4 years
• Median Survival Time: 7.2 years
• Modal Age at Death: 79.4 years

SURVIVAL PROBABILITIES:
• 5-Year Survival (₅p_74): 64.5%
• 10-Year Survival (₁₀p_74): 41.6%
• 20-Year Survival (₂₀p_74): 17.3%

MORTALITY METRICS:
• Force of Mortality (μ_74): 0.08761
• Probability of Death within 1 Year (q_74): 0.08388
• Hazard Rate: 0.09168

COMPARATIVE CONTEXT:
• Global Average at Age 74: 8.9 years
• Regional Rank: Top 7 globally
• Historical Trend: Improving

Based on 487,895 death records and actuarial projections.
Each year survived reduces remaining uncertainty by 2.9%.

Human: What is the life expectancy for a 74 year old female in Australia as of 2019?

Actuarial AI: ACTUARIAL ANALYSIS: Life Expectancy Calculation

Demographics:
• Location: Australia
• Age: 74 years
• Sex: Female
• Reference Year: 2019

LIFE EXPECTANCY METRICS:
• Life Expectancy at Age 74 (e_74): 10.4 years
• Expected Age at Death: 84.4 years
• Median Survival Time: 7.2 years
• Modal Age at Death: 79.4 years

SURVIVAL PROBABILITIES:
• 5-Year Survival (₅p_74): 64.5%
• 10-Year Survival (₁₀p_74): 41.6%
• 20-Year Survival (₂₀p_74): 17.3%

MORTALITY METRICS:
• Force of Mortality (μ_74): 0.08761
• Probability of Death within 1 Year (q_74): 0.08388
• Hazard Rate: 0.09168

COMPARATIVE CONTEXT:
• Global Average at Age 74: 8.9 years
• Regional Rank: Top 7 globally
• Historical Trend: Improving

Based on 487,895 death records and actuarial projections.
Each year survived reduces remaining uncertainty by 2.9%.


Instruction: Calculate mortality improvement factors for age 73

Response:
MORTALITY IMPROVEMENT ANALYSIS

Age: 73
Base Year: 2024
Improvement Scale: MP-2021

ANNUAL IMPROVEMENT RATES:
• Historical (2000-2020): 1.01%
• Current (2024): 2.14%
• Ultimate (2044+): 0.84%

PROJECTION FACTORS:
• 10-Year Factor: 0.8052
• 20-Year Factor: 0.6483
• 30-Year Factor: 0.5220

Cohort effect adjustment: Applied
Gender-specific: No

Human: Calculate mortality improvement factors for age 73

Actuarial AI: MORTALITY IMPROVEMENT ANALYSIS

Age: 73
Base Year: 2024
Improvement Scale: MP-2021

ANNUAL IMPROVEMENT RATES:
• Historical (2000-2020): 1.01%
• Current (2024): 2.14%
• Ultimate (2044+): 0.84%

PROJECTION FACTORS:
• 10-Year Factor: 0.8052
• 20-Year Factor: 0.6483
• 30-Year Factor: 0.5220

Cohort effect adjustment: Applied
Gender-specific: No


Instruction: Summarize individual life mortality experience study results

Response:
MORTALITY EXPERIENCE STUDY

Study Type: Individual Life Insurance
Study Period: 2021-2022
Exposure: 395213 life-years

ACTUAL vs EXPECTED:
• Overall A/E Ratio: 1.04
• Deaths Actual: 8,805
• Deaths Expected: 2,206

BY DURATION:
• Select Period (Years 1-5): 0.93
• Ultimate (Years 6+): 1.07

Statistical confidence: 95% CI [0.89, 1.09]

Human: Summarize individual life mortality experience study results

Actuarial AI: MORTALITY EXPERIENCE STUDY

Study Type: Individual Life Insurance
Study Period: 2021-2022
Exposure: 395213 life-years

ACTUAL vs EXPECTED:
• Overall A/E Ratio: 1.04
• Deaths Actual: 8,805
• Deaths Expected: 2,206

BY DURATION:
• Select Period (Years 1-5): 0.93
• Ultimate (Years 6+): 1.07

Statistical confidence: 95% CI [0.89, 1.09]


Instruction: What is the life expectancy for a 30 year old female in USA as of 2020?

Response:
ACTUARIAL ANALYSIS: Life Expectancy Calculation

Demographics:
• Location: USA
• Age: 30 years
• Sex: Female
• Reference Year: 2020

LIFE EXPECTANCY METRICS:
• Life Expectancy at Age 30 (e_30): 52.0 years
• Expected Age at Death: 82.0 years
• Median Survival Time: 36.1 years
• Modal Age at Death: 77.0 years

SURVIVAL PROBABILITIES:
• 5-Year Survival (₅p_30): 91.0%
• 10-Year Survival (₁₀p_30): 82.8%
• 20-Year Survival (₂₀p_30): 68.6%

MORTALITY METRICS:
• Force of Mortality (μ_30): 0.01885
• Probability of Death within 1 Year (q_30): 0.01868
• Hazard Rate: 0.01903

COMPARATIVE CONTEXT:
• Global Average at Age 30: 48.9 years
• Regional Rank: Top 8 globally
• Historical Trend: Improving

Based on 306,025 death records and actuarial projections.
Each year survived reduces remaining uncertainty by 4.9%.

Human: What is the life expectancy for a 30 year old female in USA as of 2020?

Actuarial AI: ACTUARIAL ANALYSIS: Life Expectancy Calculation

Demographics:
• Location: USA
• Age: 30 years
• Sex: Female
• Reference Year: 2020

LIFE EXPECTANCY METRICS:
• Life Expectancy at Age 30 (e_30): 52.0 years
• Expected Age at Death: 82.0 years
• Median Survival Time: 36.1 years
• Modal Age at Death: 77.0 years

SURVIVAL PROBABILITIES:
• 5-Year Survival (₅p_30): 91.0%
• 10-Year Survival (₁₀p_30): 82.8%
• 20-Year Survival (₂₀p_30): 68.6%

MORTALITY METRICS:
• Force of Mortality (μ_30): 0.01885
• Probability of Death within 1 Year (q_30): 0.01868
• Hazard Rate: 0.01903

COMPARATIVE CONTEXT:
• Global Average at Age 30: 48.9 years
• Regional Rank: Top 8 globally
• Historical Trend: Improving

Based on 306,025 death records and actuarial projections.
Each year survived reduces remaining uncertainty by 4.9%.


Instruction: What is the life expectancy for a 71 year old female in Canada as of 2022?

Response:
ACTUARIAL ANALYSIS: Life Expectancy Calculation

Demographics:
• Location: Canada
• Age: 71 years
• Sex: Female
• Reference Year: 2022

LIFE EXPECTANCY METRICS:
• Life Expectancy at Age 71 (e_71): 17.0 years
• Expected Age at Death: 88.0 years
• Median Survival Time: 11.8 years
• Modal Age at Death: 83.0 years

SURVIVAL PROBABILITIES:
• 5-Year Survival (₅p_71): 75.7%
• 10-Year Survival (₁₀p_71): 57.3%
• 20-Year Survival (₂₀p_71): 32.9%

MORTALITY METRICS:
• Force of Mortality (μ_71): 0.05564
• Probability of Death within 1 Year (q_71): 0.05412
• Hazard Rate: 0.05725

COMPARATIVE CONTEXT:
• Global Average at Age 71: 11.1 years
• Regional Rank: Top 9 globally
• Historical Trend: Stable

Based on 477,252 death records and actuarial projections.
Each year survived reduces remaining uncertainty by 3.6%.

Human: What is the life expectancy for a 71 year old female in Canada as of 2022?

Actuarial AI: ACTUARIAL ANALYSIS: Life Expectancy Calculation

Demographics:
• Location: Canada
• Age: 71 years
• Sex: Female
• Reference Year: 2022

LIFE EXPECTANCY METRICS:
• Life Expectancy at Age 71 (e_71): 17.0 years
• Expected Age at Death: 88.0 years
• Median Survival Time: 11.8 years
• Modal Age at Death: 83.0 years

SURVIVAL PROBABILITIES:
• 5-Year Survival (₅p_71): 75.7%
• 10-Year Survival (₁₀p_71): 57.3%
• 20-Year Survival (₂₀p_71): 32.9%

MORTALITY METRICS:
• Force of Mortality (μ_71): 0.05564
• Probability of Death within 1 Year (q_71): 0.05412
• Hazard Rate: 0.05725

COMPARATIVE CONTEXT:
• Global Average at Age 71: 11.1 years
• Regional Rank: Top 9 globally
• Historical Trend: Stable

Based on 477,252 death records and actuarial projections.
Each year survived reduces remaining uncertainty by 3.6%.


Instruction: Calculate Universal Life life insurance premium for 26 year old male, $250,000 coverage, Substandard rating

Response:
LIFE INSURANCE PREMIUM CALCULATION

Policy Details:
• Product Type: Universal Life Life Insurance
• Face Amount: $250,000
• Duration: Lifetime Coverage
• Issue Age: 26
• Sex: Male
• Underwriting Class: Substandard

PREMIUM COMPUTATION:
• Base Mortality Rate (q_26): 0.002107
• Underwriting Multiplier: 1.5x
• Product Load Factor: 2.8x
• Expense Loading: 15% of gross premium
• Commission Load: 82% first year, 5% renewal

ANNUAL PREMIUM BREAKDOWN:
• Mortality Cost: $884.91
• Expense Charge: $221.23
• Reserve Accumulation: $294.97
• Profit Margin: $73.74
• Gross Annual Premium: $1474.84

PAYMENT OPTIONS:
• Annual: $1474.84
• Semi-Annual: $766.92 (x2 = $1533.84/year)
• Quarterly: $390.83 (x4 = $1563.33/year)
• Monthly: $132.74 (x12 = $1592.83/year)

RESERVE CALCULATIONS:
• Net Level Premium: $1106.13
• First Year Reserve: $294.97
• Terminal Reserve (Year 39): $88895.36

MORTALITY ASSUMPTIONS:
• Mortality Table: 2017 CSO Male
• Improvement Scale: MP-2019
• Select Period: 20 years
• Ultimate Mortality: CSO Male Ultimate

Internal Rate of Return: 8.6%
Profit Margin: 12.2%
Lapse Assumption: 5.7% annual

Illustration assumes guaranteed rates. Actual results may vary.

Human: Calculate Universal Life life insurance premium for 26 year old male, $250,000 coverage, Substandard rating

Actuarial AI: LIFE INSURANCE PREMIUM CALCULATION

Policy Details:
• Product Type: Universal Life Life Insurance
• Face Amount: $250,000
• Duration: Lifetime Coverage
• Issue Age: 26
• Sex: Male
• Underwriting Class: Substandard

PREMIUM COMPUTATION:
• Base Mortality Rate (q_26): 0.002107
• Underwriting Multiplier: 1.5x
• Product Load Factor: 2.8x
• Expense Loading: 15% of gross premium
• Commission Load: 82% first year, 5% renewal

ANNUAL PREMIUM BREAKDOWN:
• Mortality Cost: $884.91
• Expense Charge: $221.23
• Reserve Accumulation: $294.97
• Profit Margin: $73.74
• Gross Annual Premium: $1474.84

PAYMENT OPTIONS:
• Annual: $1474.84
• Semi-Annual: $766.92 (x2 = $1533.84/year)
• Quarterly: $390.83 (x4 = $1563.33/year)
• Monthly: $132.74 (x12 = $1592.83/year)

RESERVE CALCULATIONS:
• Net Level Premium: $1106.13
• First Year Reserve: $294.97
• Terminal Reserve (Year 39): $88895.36

MORTALITY ASSUMPTIONS:
• Mortality Table: 2017 CSO Male
• Improvement Scale: MP-2019
• Select Period: 20 years
• Ultimate Mortality: CSO Male Ultimate

Internal Rate of Return: 8.6%
Profit Margin: 12.2%
Lapse Assumption: 5.7% annual

Illustration assumes guaranteed rates. Actual results may vary.


Instruction: Calculate excess mortality during 2021 cold snap in France for 2021

Response:
EXCESS MORTALITY ANALYSIS

Event: 2021 cold snap
Location: France
Period: 2021

MORTALITY METRICS:
• Expected Deaths (Baseline): 68,640
• Observed Deaths: 86,428
• Excess Deaths: 17,788
• Excess Mortality Rate: 25.9%
• P-score: 25.9%
• Z-score: 5.36 (p < 0.001)

BASELINE CALCULATION:
• Method: Farrington surveillance
• Reference Period: 2015-2019
• Seasonal Adjustment: Applied
• Trend Adjustment: 1.5% annual

AGE-SPECIFIC EXCESS:
• 0-44 years: -1.1% (1,778 deaths)
• 45-64 years: 5.2% (4,447 deaths)
• 65-74 years: 24.4% (4,447 deaths)
• 75+ years: 35.0% (7,115 deaths)

CAUSE ATTRIBUTION:
• Direct (confirmed): 12,829 (52%)
• Indirect (probable): 3,569 (17%)
• Collateral (delayed care): 2,708 (11%)

STATISTICAL SIGNIFICANCE:
• 95% CI: [15,119, 20,456]
• Probability of chance: < 0.001
• Power: 0.98

Years of Life Lost: 201947
Economic Impact: $9.1 billion
Quality-Adjusted Life Years Lost: 183987

Human: Calculate excess mortality during 2021 cold snap in France for 2021

Actuarial AI: EXCESS MORTALITY ANALYSIS

Event: 2021 cold snap
Location: France
Period: 2021

MORTALITY METRICS:
• Expected Deaths (Baseline): 68,640
• Observed Deaths: 86,428
• Excess Deaths: 17,788
• Excess Mortality Rate: 25.9%
• P-score: 25.9%
• Z-score: 5.36 (p < 0.001)

BASELINE CALCULATION:
• Method: Farrington surveillance
• Reference Period: 2015-2019
• Seasonal Adjustment: Applied
• Trend Adjustment: 1.5% annual

AGE-SPECIFIC EXCESS:
• 0-44 years: -1.1% (1,778 deaths)
• 45-64 years: 5.2% (4,447 deaths)
• 65-74 years: 24.4% (4,447 deaths)
• 75+ years: 35.0% (7,115 deaths)

CAUSE ATTRIBUTION:
• Direct (confirmed): 12,829 (52%)
• Indirect (probable): 3,569 (17%)
• Collateral (delayed care): 2,708 (11%)

STATISTICAL SIGNIFICANCE:
• 95% CI: [15,119, 20,456]
• Probability of chance: < 0.001
• Power: 0.98

Years of Life Lost: 201947
Economic Impact: $9.1 billion
Quality-Adjusted Life Years Lost: 183987


Instruction: Analyze mortality impact of Spanish Flu

Response:
PANDEMIC MORTALITY ANALYSIS

Pandemic: Spanish Flu
Global Deaths: 56,416,933
Case Fatality Rate: 4.3%
Infection Fatality Rate: 0.40%

Age-specific mortality shows exponential increase with age.
Economic impact: $2.5 trillion globally.

Human: Analyze mortality impact of Spanish Flu

Actuarial AI: PANDEMIC MORTALITY ANALYSIS

Pandemic: Spanish Flu
Global Deaths: 56,416,933
Case Fatality Rate: 4.3%
Infection Fatality Rate: 0.40%

Age-specific mortality shows exponential increase with age.
Economic impact: $2.5 trillion globally.


Instruction: Calculate Universal Life life insurance premium for 66 year old male, $750,000 coverage, Standard rating

Response:
LIFE INSURANCE PREMIUM CALCULATION

Policy Details:
• Product Type: Universal Life Life Insurance
• Face Amount: $750,000
• Duration: Lifetime Coverage
• Issue Age: 66
• Sex: Male
• Underwriting Class: Standard

PREMIUM COMPUTATION:
• Base Mortality Rate (q_66): 0.005329
• Underwriting Multiplier: 1.0x
• Product Load Factor: 2.8x
• Expense Loading: 15% of gross premium
• Commission Load: 73% first year, 5% renewal

ANNUAL PREMIUM BREAKDOWN:
• Mortality Cost: $6714.08
• Expense Charge: $1678.52
• Reserve Accumulation: $2238.03
• Profit Margin: $559.51
• Gross Annual Premium: $11190.14

PAYMENT OPTIONS:
• Annual: $11190.14
• Semi-Annual: $5818.87 (x2 = $11637.74/year)
• Quarterly: $2965.39 (x4 = $11861.54/year)
• Monthly: $1007.11 (x12 = $12085.35/year)

RESERVE CALCULATIONS:
• Net Level Premium: $8392.60
• First Year Reserve: $2238.03
• Terminal Reserve (Year -1): $309380.51

MORTALITY ASSUMPTIONS:
• Mortality Table: 2017 CSO Male
• Improvement Scale: MP-2019
• Select Period: 20 years
• Ultimate Mortality: CSO Male Ultimate

Internal Rate of Return: 8.9%
Profit Margin: 12.0%
Lapse Assumption: 6.3% annual

Illustration assumes guaranteed rates. Actual results may vary.

Human: Calculate Universal Life life insurance premium for 66 year old male, $750,000 coverage, Standard rating

Actuarial AI: LIFE INSURANCE PREMIUM CALCULATION

Policy Details:
• Product Type: Universal Life Life Insurance
• Face Amount: $750,000
• Duration: Lifetime Coverage
• Issue Age: 66
• Sex: Male
• Underwriting Class: Standard

PREMIUM COMPUTATION:
• Base Mortality Rate (q_66): 0.005329
• Underwriting Multiplier: 1.0x
• Product Load Factor: 2.8x
• Expense Loading: 15% of gross premium
• Commission Load: 73% first year, 5% renewal

ANNUAL PREMIUM BREAKDOWN:
• Mortality Cost: $6714.08
• Expense Charge: $1678.52
• Reserve Accumulation: $2238.03
• Profit Margin: $559.51
• Gross Annual Premium: $11190.14

PAYMENT OPTIONS:
• Annual: $11190.14
• Semi-Annual: $5818.87 (x2 = $11637.74/year)
• Quarterly: $2965.39 (x4 = $11861.54/year)
• Monthly: $1007.11 (x12 = $12085.35/year)

RESERVE CALCULATIONS:
• Net Level Premium: $8392.60
• First Year Reserve: $2238.03
• Terminal Reserve (Year -1): $309380.51

MORTALITY ASSUMPTIONS:
• Mortality Table: 2017 CSO Male
• Improvement Scale: MP-2019
• Select Period: 20 years
• Ultimate Mortality: CSO Male Ultimate

Internal Rate of Return: 8.9%
Profit Margin: 12.0%
Lapse Assumption: 6.3% annual

Illustration assumes guaranteed rates. Actual results may vary.


Instruction: What is the life expectancy for a 40 year old female in Australia as of 2019?

Response:
ACTUARIAL ANALYSIS: Life Expectancy Calculation

Demographics:
• Location: Australia
• Age: 40 years
• Sex: Female
• Reference Year: 2019

LIFE EXPECTANCY METRICS:
• Life Expectancy at Age 40 (e_40): 46.8 years
• Expected Age at Death: 86.8 years
• Median Survival Time: 32.4 years
• Modal Age at Death: 81.8 years

SURVIVAL PROBABILITIES:
• 5-Year Survival (₅p_40): 90.1%
• 10-Year Survival (₁₀p_40): 81.1%
• 20-Year Survival (₂₀p_40): 65.8%

MORTALITY METRICS:
• Force of Mortality (μ_40): 0.02092
• Probability of Death within 1 Year (q_40): 0.02070
• Hazard Rate: 0.02114

COMPARATIVE CONTEXT:
• Global Average at Age 40: 42.9 years
• Regional Rank: Top 30 globally
• Historical Trend: Improving

Based on 269,476 death records and actuarial projections.
Each year survived reduces remaining uncertainty by 3.5%.

Human: What is the life expectancy for a 40 year old female in Australia as of 2019?

Actuarial AI: ACTUARIAL ANALYSIS: Life Expectancy Calculation

Demographics:
• Location: Australia
• Age: 40 years
• Sex: Female
• Reference Year: 2019

LIFE EXPECTANCY METRICS:
• Life Expectancy at Age 40 (e_40): 46.8 years
• Expected Age at Death: 86.8 years
• Median Survival Time: 32.4 years
• Modal Age at Death: 81.8 years

SURVIVAL PROBABILITIES:
• 5-Year Survival (₅p_40): 90.1%
• 10-Year Survival (₁₀p_40): 81.1%
• 20-Year Survival (₂₀p_40): 65.8%

MORTALITY METRICS:
• Force of Mortality (μ_40): 0.02092
• Probability of Death within 1 Year (q_40): 0.02070
• Hazard Rate: 0.02114

COMPARATIVE CONTEXT:
• Global Average at Age 40: 42.9 years
• Regional Rank: Top 30 globally
• Historical Trend: Improving

Based on 269,476 death records and actuarial projections.
Each year survived reduces remaining uncertainty by 3.5%.


Instruction: Analyze mortality trends in Japan from 2001-2021

Response:
MORTALITY TREND ANALYSIS

Country: Japan
Analysis Period: 2001-2021

OVERALL TRENDS:
• Average Annual Change: +1.3%
• Total Change: -14.7%
• Trend Direction: Improving
• Statistical Significance: p < 0.001

Life expectancy increased by 0.6 years.
Age-standardized death rate changed by -174 per 100,000.

KEY DRIVERS:
• Medical advances: 21% of improvement
• Public health measures: 18%
• Lifestyle changes: -15%
• Environmental factors: -13%

Human: Analyze mortality trends in Japan from 2001-2021

Actuarial AI: MORTALITY TREND ANALYSIS

Country: Japan
Analysis Period: 2001-2021

OVERALL TRENDS:
• Average Annual Change: +1.3%
• Total Change: -14.7%
• Trend Direction: Improving
• Statistical Significance: p < 0.001

Life expectancy increased by 0.6 years.
Age-standardized death rate changed by -174 per 100,000.

KEY DRIVERS:
• Medical advances: 21% of improvement
• Public health measures: 18%
• Lifestyle changes: -15%
• Environmental factors: -13%


Instruction: Summarize group life mortality experience study results

Response:
MORTALITY EXPERIENCE STUDY

Study Type: Group Life Insurance
Study Period: 2019-2023
Exposure: 212816 life-years

ACTUAL vs EXPECTED:
• Overall A/E Ratio: 1.06
• Deaths Actual: 9,167
• Deaths Expected: 8,536

BY DURATION:
• Select Period (Years 1-5): 0.82
• Ultimate (Years 6+): 0.96

Statistical confidence: 95% CI [0.93, 1.17]

Human: Summarize group life mortality experience study results

Actuarial AI: MORTALITY EXPERIENCE STUDY

Study Type: Group Life Insurance
Study Period: 2019-2023
Exposure: 212816 life-years

ACTUAL vs EXPECTED:
• Overall A/E Ratio: 1.06
• Deaths Actual: 9,167
• Deaths Expected: 8,536

BY DURATION:
• Select Period (Years 1-5): 0.82
• Ultimate (Years 6+): 0.96

Statistical confidence: 95% CI [0.93, 1.17]


Instruction: Show survival curve for Canada population in 2021

Response:
SURVIVAL CURVE ANALYSIS

Population: Canada Combined
Reference Year: 2021
Initial Cohort: 100,000 births

SURVIVAL TABLE (l_x per 100,000):
  Age  Survivors (lx)  Deaths (dx) Prob Death (qx) Life Exp (ex)
============================================================
    0         100,000            3         0.00003         82.3
    1          99,997           10         0.00010         77.1
    5          99,987           25         0.00025         76.6
   10          99,962           79         0.00079         71.7
   20          99,883          114         0.00114         56.8
   30          99,769          179         0.00179         46.6
   40          99,590          285         0.00286         38.3
   50          99,305          552         0.00556         32.4
   60          98,753          804         0.00814         16.1
   70          97,949        1,056         0.01078          8.2
   80          96,893        1,634         0.01686          0.0
   90          95,259        2,072         0.02175          2.6
  100          93,187        2,642         0.02835          2.4
  110          90,545       90,545         1.00000          4.3

SURVIVAL METRICS:
• Median Survival Age: 110 years
• Life Expectancy at Birth: 81.2 years
• Infant Mortality Rate: 0.0 per 1,000
• Probability of Surviving to 65: 98.8%
• Probability of Surviving to 80: 96.9%

CURVE CHARACTERISTICS:
• Type: Type II (Diagonal)
• Compression: Moderate
• Rectangularization Index: 0.85

The survival curve follows Gompertz law after age 30.
Data sourced from 376,003 death certificates.

Human: Show survival curve for Canada population in 2021

Actuarial AI: SURVIVAL CURVE ANALYSIS

Population: Canada Combined
Reference Year: 2021
Initial Cohort: 100,000 births

SURVIVAL TABLE (l_x per 100,000):
  Age  Survivors (lx)  Deaths (dx) Prob Death (qx) Life Exp (ex)
============================================================
    0         100,000            3         0.00003         82.3
    1          99,997           10         0.00010         77.1
    5          99,987           25         0.00025         76.6
   10          99,962           79         0.00079         71.7
   20          99,883          114         0.00114         56.8
   30          99,769          179         0.00179         46.6
   40          99,590          285         0.00286         38.3
   50          99,305          552         0.00556         32.4
   60          98,753          804         0.00814         16.1
   70          97,949        1,056         0.01078          8.2
   80          96,893        1,634         0.01686          0.0
   90          95,259        2,072         0.02175          2.6
  100          93,187        2,642         0.02835          2.4
  110          90,545       90,545         1.00000          4.3

SURVIVAL METRICS:
• Median Survival Age: 110 years
• Life Expectancy at Birth: 81.2 years
• Infant Mortality Rate: 0.0 per 1,000
• Probability of Surviving to 65: 98.8%
• Probability of Surviving to 80: 96.9%

CURVE CHARACTERISTICS:
• Type: Type II (Diagonal)
• Compression: Moderate
• Rectangularization Index: 0.85

The survival curve follows Gompertz law after age 30.
Data sourced from 376,003 death certificates.


Instruction: Analyze mortality impact of MERS

Response:
PANDEMIC MORTALITY ANALYSIS

Pandemic: MERS
Global Deaths: 889
Case Fatality Rate: 6.2%
Infection Fatality Rate: 1.38%

Age-specific mortality shows exponential increase with age.
Economic impact: $1.2 trillion globally.

Human: Analyze mortality impact of MERS

Actuarial AI: PANDEMIC MORTALITY ANALYSIS

Pandemic: MERS
Global Deaths: 889
Case Fatality Rate: 6.2%
Infection Fatality Rate: 1.38%

Age-specific mortality shows exponential increase with age.
Economic impact: $1.2 trillion globally.


Instruction: What is the life expectancy for a 95 year old male in Italy as of 2018?

Response:
ACTUARIAL ANALYSIS: Life Expectancy Calculation

Demographics:
• Location: Italy
• Age: 95 years
• Sex: Male
• Reference Year: 2018

LIFE EXPECTANCY METRICS:
• Life Expectancy at Age 95 (e_95): -3.2 years
• Expected Age at Death: 91.8 years
• Median Survival Time: -2.2 years
• Modal Age at Death: 86.8 years

SURVIVAL PROBABILITIES:
• 5-Year Survival (₅p_95): 100.0%
• 10-Year Survival (₁₀p_95): 100.0%
• 20-Year Survival (₂₀p_95): 100.0%

MORTALITY METRICS:
• Force of Mortality (μ_95): -0.46056
• Probability of Death within 1 Year (q_95): -0.58496
• Hazard Rate: -0.37882

COMPARATIVE CONTEXT:
• Global Average at Age 95: -11.6 years
• Regional Rank: Top 40 globally
• Historical Trend: Stable

Based on 333,725 death records and actuarial projections.
Each year survived reduces remaining uncertainty by 2.7%.

Human: What is the life expectancy for a 95 year old male in Italy as of 2018?

Actuarial AI: ACTUARIAL ANALYSIS: Life Expectancy Calculation

Demographics:
• Location: Italy
• Age: 95 years
• Sex: Male
• Reference Year: 2018

LIFE EXPECTANCY METRICS:
• Life Expectancy at Age 95 (e_95): -3.2 years
• Expected Age at Death: 91.8 years
• Median Survival Time: -2.2 years
• Modal Age at Death: 86.8 years

SURVIVAL PROBABILITIES:
• 5-Year Survival (₅p_95): 100.0%
• 10-Year Survival (₁₀p_95): 100.0%
• 20-Year Survival (₂₀p_95): 100.0%

MORTALITY METRICS:
• Force of Mortality (μ_95): -0.46056
• Probability of Death within 1 Year (q_95): -0.58496
• Hazard Rate: -0.37882

COMPARATIVE CONTEXT:
• Global Average at Age 95: -11.6 years
• Regional Rank: Top 40 globally
• Historical Trend: Stable

Based on 333,725 death records and actuarial projections.
Each year survived reduces remaining uncertainty by 2.7%.


Instruction: What is the mortality rate for Cancer in UK for Under 25 in 2022?

Response:
CAUSE-SPECIFIC MORTALITY ANALYSIS

Cause of Death: Cancer
Location: UK
Year: 2022
Age Group: Under 25

MORTALITY STATISTICS:
• Crude Death Rate: 158.5 per 100,000 population
• Age-Adjusted Rate: 140.8 per 100,000
• Total Deaths: 5,358,079
• Percentage of All Deaths: 19.6%

DEMOGRAPHIC BREAKDOWN:
• Male Death Rate: 190.2 per 100,000
• Female Death Rate: 134.7 per 100,000
• Sex Ratio (M:F): 1.29:1

TREND ANALYSIS:
• 5-Year Change: +14.4%
• 10-Year Change: -16.6%
• Annual Percentage Change: -2.1%
• Trend: Increasing

COMPARATIVE METRICS:
• Rank Among Leading Causes: #14
• Years of Potential Life Lost (YPLL): 156129595
• Economic Burden: $21.7 billion annually
• Preventable Deaths: 54%

RISK FACTORS:
• Tobacco use: 30% attributable
• Diet: 20%
• Infections: 15%
• Alcohol: 10%
• Environmental: 10%

International Classification of Diseases (ICD-10): C00-C97
Data Quality: Near-Complete (92% coverage)

Human: What is the mortality rate for Cancer in UK for Under 25 in 2022?

Actuarial AI: CAUSE-SPECIFIC MORTALITY ANALYSIS

Cause of Death: Cancer
Location: UK
Year: 2022
Age Group: Under 25

MORTALITY STATISTICS:
• Crude Death Rate: 158.5 per 100,000 population
• Age-Adjusted Rate: 140.8 per 100,000
• Total Deaths: 5,358,079
• Percentage of All Deaths: 19.6%

DEMOGRAPHIC BREAKDOWN:
• Male Death Rate: 190.2 per 100,000
• Female Death Rate: 134.7 per 100,000
• Sex Ratio (M:F): 1.29:1

TREND ANALYSIS:
• 5-Year Change: +14.4%
• 10-Year Change: -16.6%
• Annual Percentage Change: -2.1%
• Trend: Increasing

COMPARATIVE METRICS:
• Rank Among Leading Causes: #14
• Years of Potential Life Lost (YPLL): 156129595
• Economic Burden: $21.7 billion annually
• Preventable Deaths: 54%

RISK FACTORS:
• Tobacco use: 30% attributable
• Diet: 20%
• Infections: 15%
• Alcohol: 10%
• Environmental: 10%

International Classification of Diseases (ICD-10): C00-C97
Data Quality: Near-Complete (92% coverage)


Instruction: Calculate mortality improvement factors for age 50

Response:
MORTALITY IMPROVEMENT ANALYSIS

Age: 50
Base Year: 2024
Improvement Scale: MP-2021

ANNUAL IMPROVEMENT RATES:
• Historical (2000-2020): 1.42%
• Current (2024): 0.61%
• Ultimate (2044+): 0.67%

PROJECTION FACTORS:
• 10-Year Factor: 0.9406
• 20-Year Factor: 0.8847
• 30-Year Factor: 0.8321

Cohort effect adjustment: Not applied
Gender-specific: Yes

Human: Calculate mortality improvement factors for age 50

Actuarial AI: MORTALITY IMPROVEMENT ANALYSIS

Age: 50
Base Year: 2024
Improvement Scale: MP-2021

ANNUAL IMPROVEMENT RATES:
• Historical (2000-2020): 1.42%
• Current (2024): 0.61%
• Ultimate (2044+): 0.67%

PROJECTION FACTORS:
• 10-Year Factor: 0.9406
• 20-Year Factor: 0.8847
• 30-Year Factor: 0.8321

Cohort effect adjustment: Not applied
Gender-specific: Yes


Instruction: Analyze mortality differences by income in the USA

Response:
DEMOGRAPHIC MORTALITY ANALYSIS

Demographic Variable: Income
Country: USA
Analysis Period: 2020

MORTALITY RATES BY INCOME (per 100,000):
• <$25k: 309.0
• $25-50k: 1088.9
• $50-75k: 957.5
• $75-100k: 512.3
• >$100k: 1070.8

DISPARITY METRICS:
• Rate Ratio (Highest/Lowest): 2.41
• Rate Difference: 639.6 per 100,000
• Population Attributable Risk: 32.0%
• Gini Coefficient: 0.320

LIFE EXPECTANCY BY INCOME:
• <$25k: 76.5 years
• $25-50k: 75.9 years
• $50-75k: 84.1 years
• $75-100k: 70.3 years
• >$100k: 84.9 years

CONTRIBUTING FACTORS:
• Healthcare Access: 36% of disparity
• Socioeconomic Status: 17% of disparity
• Environmental Factors: 21% of disparity
• Behavioral Factors: 10% of disparity
• Biological Factors: 9% of disparity

TREND ANALYSIS:
• Disparities are narrowing
• Annual change in disparity: +1.5%

Social determinants explain 60% of observed mortality differences.

Human: Analyze mortality differences by income in the USA

Actuarial AI: DEMOGRAPHIC MORTALITY ANALYSIS

Demographic Variable: Income
Country: USA
Analysis Period: 2020

MORTALITY RATES BY INCOME (per 100,000):
• <$25k: 309.0
• $25-50k: 1088.9
• $50-75k: 957.5
• $75-100k: 512.3
• >$100k: 1070.8

DISPARITY METRICS:
• Rate Ratio (Highest/Lowest): 2.41
• Rate Difference: 639.6 per 100,000
• Population Attributable Risk: 32.0%
• Gini Coefficient: 0.320

LIFE EXPECTANCY BY INCOME:
• <$25k: 76.5 years
• $25-50k: 75.9 years
• $50-75k: 84.1 years
• $75-100k: 70.3 years
• >$100k: 84.9 years

CONTRIBUTING FACTORS:
• Healthcare Access: 36% of disparity
• Socioeconomic Status: 17% of disparity
• Environmental Factors: 21% of disparity
• Behavioral Factors: 10% of disparity
• Biological Factors: 9% of disparity

TREND ANALYSIS:
• Disparities are narrowing
• Annual change in disparity: +1.5%

Social determinants explain 60% of observed mortality differences.


Instruction: What is the life expectancy for a 29 year old male in France as of 2024?

Response:
ACTUARIAL ANALYSIS: Life Expectancy Calculation

Demographics:
• Location: France
• Age: 29 years
• Sex: Male
• Reference Year: 2024

LIFE EXPECTANCY METRICS:
• Life Expectancy at Age 29 (e_29): 53.3 years
• Expected Age at Death: 82.3 years
• Median Survival Time: 36.9 years
• Modal Age at Death: 77.3 years

SURVIVAL PROBABILITIES:
• 5-Year Survival (₅p_29): 91.2%
• 10-Year Survival (₁₀p_29): 83.2%
• 20-Year Survival (₂₀p_29): 69.2%

MORTALITY METRICS:
• Force of Mortality (μ_29): 0.01843
• Probability of Death within 1 Year (q_29): 0.01826
• Hazard Rate: 0.01860

COMPARATIVE CONTEXT:
• Global Average at Age 29: 53.5 years
• Regional Rank: Top 39 globally
• Historical Trend: Improving

Based on 145,468 death records and actuarial projections.
Each year survived reduces remaining uncertainty by 4.2%.

Human: What is the life expectancy for a 29 year old male in France as of 2024?

Actuarial AI: ACTUARIAL ANALYSIS: Life Expectancy Calculation

Demographics:
• Location: France
• Age: 29 years
• Sex: Male
• Reference Year: 2024

LIFE EXPECTANCY METRICS:
• Life Expectancy at Age 29 (e_29): 53.3 years
• Expected Age at Death: 82.3 years
• Median Survival Time: 36.9 years
• Modal Age at Death: 77.3 years

SURVIVAL PROBABILITIES:
• 5-Year Survival (₅p_29): 91.2%
• 10-Year Survival (₁₀p_29): 83.2%
• 20-Year Survival (₂₀p_29): 69.2%

MORTALITY METRICS:
• Force of Mortality (μ_29): 0.01843
• Probability of Death within 1 Year (q_29): 0.01826
• Hazard Rate: 0.01860

COMPARATIVE CONTEXT:
• Global Average at Age 29: 53.5 years
• Regional Rank: Top 39 globally
• Historical Trend: Improving

Based on 145,468 death records and actuarial projections.
Each year survived reduces remaining uncertainty by 4.2%.


Instruction: Project mortality rates for Japan in 2034

Response:
MORTALITY PROJECTION

Country: Japan
Target Year: 2034
Projection Method: Lee-Carter Model with Coherent Forecasting

PROJECTED METRICS:
• Crude Death Rate: 595.3 per 100,000
• Life Expectancy: 88.2 years
• Annual Improvement: 0.82%

CONFIDENCE INTERVALS (95%):
• Lower: 506.0
• Upper: 684.5

Projection assumes continuation of current trends.
Uncertainty increases with projection horizon.

Human: Project mortality rates for Japan in 2034

Actuarial AI: MORTALITY PROJECTION

Country: Japan
Target Year: 2034
Projection Method: Lee-Carter Model with Coherent Forecasting

PROJECTED METRICS:
• Crude Death Rate: 595.3 per 100,000
• Life Expectancy: 88.2 years
• Annual Improvement: 0.82%

CONFIDENCE INTERVALS (95%):
• Lower: 506.0
• Upper: 684.5

Projection assumes continuation of current trends.
Uncertainty increases with projection horizon.


Instruction: Analyze mortality patterns for 1969 birth cohort

Response:
BIRTH COHORT MORTALITY ANALYSIS

Birth Cohort: 1969
Current Age: 55 years
Cohort Size at Birth: 3,613,594

COHORT CHARACTERISTICS:
• Life Expectancy at Birth: 69.7 years
• Current Life Expectancy: 86.2 years
• Survival to Current Age: 65.5%

HISTORICAL EXPOSURES:
• High smoking prevalence
• HIV/AIDS epidemic
• COVID-19 pandemic

MORTALITY PATTERN:
• Peak Infant Mortality: 28.6 per 1,000
• Current Mortality Rate: 35.4 per 1,000
• Improvement Since Birth: 58%

Cohort effects explain 24% of mortality variation.

Human: Analyze mortality patterns for 1969 birth cohort

Actuarial AI: BIRTH COHORT MORTALITY ANALYSIS

Birth Cohort: 1969
Current Age: 55 years
Cohort Size at Birth: 3,613,594

COHORT CHARACTERISTICS:
• Life Expectancy at Birth: 69.7 years
• Current Life Expectancy: 86.2 years
• Survival to Current Age: 65.5%

HISTORICAL EXPOSURES:
• High smoking prevalence
• HIV/AIDS epidemic
• COVID-19 pandemic

MORTALITY PATTERN:
• Peak Infant Mortality: 28.6 per 1,000
• Current Mortality Rate: 35.4 per 1,000
• Improvement Since Birth: 58%

Cohort effects explain 24% of mortality variation.


Instruction: Analyze mortality differences by race in the USA

Response:
DEMOGRAPHIC MORTALITY ANALYSIS

Demographic Variable: Race
Country: USA
Analysis Period: 2021

MORTALITY RATES BY RACE (per 100,000):
• White: 533.6
• Black: 998.6
• Asian: 1140.4
• Hispanic: 503.3
• Native American: 897.2

DISPARITY METRICS:
• Rate Ratio (Highest/Lowest): 1.60
• Rate Difference: 668.1 per 100,000
• Population Attributable Risk: 30.8%
• Gini Coefficient: 0.171

LIFE EXPECTANCY BY RACE:
• White: 84.5 years
• Black: 73.0 years
• Asian: 71.3 years
• Hispanic: 71.5 years
• Native American: 71.6 years

CONTRIBUTING FACTORS:
• Healthcare Access: 28% of disparity
• Socioeconomic Status: 26% of disparity
• Environmental Factors: 12% of disparity
• Behavioral Factors: 16% of disparity
• Biological Factors: 7% of disparity

TREND ANALYSIS:
• Disparities are narrowing
• Annual change in disparity: +1.6%

Social determinants explain 64% of observed mortality differences.

Human: Analyze mortality differences by race in the USA

Actuarial AI: DEMOGRAPHIC MORTALITY ANALYSIS

Demographic Variable: Race
Country: USA
Analysis Period: 2021

MORTALITY RATES BY RACE (per 100,000):
• White: 533.6
• Black: 998.6
• Asian: 1140.4
• Hispanic: 503.3
• Native American: 897.2

DISPARITY METRICS:
• Rate Ratio (Highest/Lowest): 1.60
• Rate Difference: 668.1 per 100,000
• Population Attributable Risk: 30.8%
• Gini Coefficient: 0.171

LIFE EXPECTANCY BY RACE:
• White: 84.5 years
• Black: 73.0 years
• Asian: 71.3 years
• Hispanic: 71.5 years
• Native American: 71.6 years

CONTRIBUTING FACTORS:
• Healthcare Access: 28% of disparity
• Socioeconomic Status: 26% of disparity
• Environmental Factors: 12% of disparity
• Behavioral Factors: 16% of disparity
• Biological Factors: 7% of disparity

TREND ANALYSIS:
• Disparities are narrowing
• Annual change in disparity: +1.6%

Social determinants explain 64% of observed mortality differences.


Instruction: What is the life expectancy for a 99 year old female in Japan as of 2021?

Response:
ACTUARIAL ANALYSIS: Life Expectancy Calculation

Demographics:
• Location: Japan
• Age: 99 years
• Sex: Female
• Reference Year: 2021

LIFE EXPECTANCY METRICS:
• Life Expectancy at Age 99 (e_99): 4.2 years
• Expected Age at Death: 103.2 years
• Median Survival Time: 2.9 years
• Modal Age at Death: 98.2 years

SURVIVAL PROBABILITIES:
• 5-Year Survival (₅p_99): 38.3%
• 10-Year Survival (₁₀p_99): 14.7%
• 20-Year Survival (₂₀p_99): 2.1%

MORTALITY METRICS:
• Force of Mortality (μ_99): 0.19204
• Probability of Death within 1 Year (q_99): 0.17473
• Hazard Rate: 0.21324

COMPARATIVE CONTEXT:
• Global Average at Age 99: -14.4 years
• Regional Rank: Top 12 globally
• Historical Trend: Improving

Based on 411,168 death records and actuarial projections.
Each year survived reduces remaining uncertainty by 5.0%.

Human: What is the life expectancy for a 99 year old female in Japan as of 2021?

Actuarial AI: ACTUARIAL ANALYSIS: Life Expectancy Calculation

Demographics:
• Location: Japan
• Age: 99 years
• Sex: Female
• Reference Year: 2021

LIFE EXPECTANCY METRICS:
• Life Expectancy at Age 99 (e_99): 4.2 years
• Expected Age at Death: 103.2 years
• Median Survival Time: 2.9 years
• Modal Age at Death: 98.2 years

SURVIVAL PROBABILITIES:
• 5-Year Survival (₅p_99): 38.3%
• 10-Year Survival (₁₀p_99): 14.7%
• 20-Year Survival (₂₀p_99): 2.1%

MORTALITY METRICS:
• Force of Mortality (μ_99): 0.19204
• Probability of Death within 1 Year (q_99): 0.17473
• Hazard Rate: 0.21324

COMPARATIVE CONTEXT:
• Global Average at Age 99: -14.4 years
• Regional Rank: Top 12 globally
• Historical Trend: Improving

Based on 411,168 death records and actuarial projections.
Each year survived reduces remaining uncertainty by 5.0%.


Instruction: Calculate the present value of a life annuity for a 30 year old at 4.3% interest

Response:
LIFE ANNUITY VALUATION

Parameters:
• Age (x): 30
• Interest Rate (i): 4.31%
• Discount Factor (v): 0.958714
• Mortality Table: 2017 CSO

ANNUITY VALUES:
• Whole Life Annuity-Due (ä_30): 11.6483
• Whole Life Annuity-Immediate (a_30): 10.6483
• Temporary Annuity-Due (ä_30:20⌉): 11.6483
• Deferred Annuity (₁₀|ä_30): 5.8738

COMMUTATION FUNCTIONS:
• D_30 = v^30 × l_30: 4248.22
• N_30 = Σ D_k (k≥30): 42965.23
• S_30 = Σ N_k (k≥30): 307027.75

CALCULATION:
ä_30 = N_30 / D_30 = 11.6483

MONTHLY CONVERSION:
• Annual Annuity: $10000.00
• Monthly Payment: $837.17
• Conversion Factor (12): 11.763

Present Value of $1,000/month for life: $11418360.11

Human: Calculate the present value of a life annuity for a 30 year old at 4.3% interest

Actuarial AI: LIFE ANNUITY VALUATION

Parameters:
• Age (x): 30
• Interest Rate (i): 4.31%
• Discount Factor (v): 0.958714
• Mortality Table: 2017 CSO

ANNUITY VALUES:
• Whole Life Annuity-Due (ä_30): 11.6483
• Whole Life Annuity-Immediate (a_30): 10.6483
• Temporary Annuity-Due (ä_30:20⌉): 11.6483
• Deferred Annuity (₁₀|ä_30): 5.8738

COMMUTATION FUNCTIONS:
• D_30 = v^30 × l_30: 4248.22
• N_30 = Σ D_k (k≥30): 42965.23
• S_30 = Σ N_k (k≥30): 307027.75

CALCULATION:
ä_30 = N_30 / D_30 = 11.6483

MONTHLY CONVERSION:
• Annual Annuity: $10000.00
• Monthly Payment: $837.17
• Conversion Factor (12): 11.763

Present Value of $1,000/month for life: $11418360.11


Instruction: Calculate Whole Life life insurance premium for 35 year old male, $5,000,000 coverage, Standard Plus rating

Response:
LIFE INSURANCE PREMIUM CALCULATION

Policy Details:
• Product Type: Whole Life Life Insurance
• Face Amount: $5,000,000
• Duration: Lifetime Coverage
• Issue Age: 35
• Sex: Male
• Underwriting Class: Standard Plus

PREMIUM COMPUTATION:
• Base Mortality Rate (q_35): 0.001706
• Underwriting Multiplier: 0.9x
• Product Load Factor: 3.5x
• Expense Loading: 15% of gross premium
• Commission Load: 83% first year, 5% renewal

ANNUAL PREMIUM BREAKDOWN:
• Mortality Cost: $17917.48
• Expense Charge: $4479.37
• Reserve Accumulation: $5972.49
• Profit Margin: $1493.12
• Gross Annual Premium: $29862.46

PAYMENT OPTIONS:
• Annual: $29862.46
• Semi-Annual: $15528.48 (x2 = $31056.96/year)
• Quarterly: $7913.55 (x4 = $31654.21/year)
• Monthly: $2687.62 (x12 = $32251.46/year)

RESERVE CALCULATIONS:
• Net Level Premium: $22396.85
• First Year Reserve: $5972.49
• Terminal Reserve (Year 30): $2928858.41

MORTALITY ASSUMPTIONS:
• Mortality Table: 2017 CSO Male
• Improvement Scale: MP-2020
• Select Period: 20 years
• Ultimate Mortality: CSO Male Ultimate

Internal Rate of Return: 11.1%
Profit Margin: 10.5%
Lapse Assumption: 6.9% annual

Illustration assumes guaranteed rates. Actual results may vary.

Human: Calculate Whole Life life insurance premium for 35 year old male, $5,000,000 coverage, Standard Plus rating

Actuarial AI: LIFE INSURANCE PREMIUM CALCULATION

Policy Details:
• Product Type: Whole Life Life Insurance
• Face Amount: $5,000,000
• Duration: Lifetime Coverage
• Issue Age: 35
• Sex: Male
• Underwriting Class: Standard Plus

PREMIUM COMPUTATION:
• Base Mortality Rate (q_35): 0.001706
• Underwriting Multiplier: 0.9x
• Product Load Factor: 3.5x
• Expense Loading: 15% of gross premium
• Commission Load: 83% first year, 5% renewal

ANNUAL PREMIUM BREAKDOWN:
• Mortality Cost: $17917.48
• Expense Charge: $4479.37
• Reserve Accumulation: $5972.49
• Profit Margin: $1493.12
• Gross Annual Premium: $29862.46

PAYMENT OPTIONS:
• Annual: $29862.46
• Semi-Annual: $15528.48 (x2 = $31056.96/year)
• Quarterly: $7913.55 (x4 = $31654.21/year)
• Monthly: $2687.62 (x12 = $32251.46/year)

RESERVE CALCULATIONS:
• Net Level Premium: $22396.85
• First Year Reserve: $5972.49
• Terminal Reserve (Year 30): $2928858.41

MORTALITY ASSUMPTIONS:
• Mortality Table: 2017 CSO Male
• Improvement Scale: MP-2020
• Select Period: 20 years
• Ultimate Mortality: CSO Male Ultimate

Internal Rate of Return: 11.1%
Profit Margin: 10.5%
Lapse Assumption: 6.9% annual

Illustration assumes guaranteed rates. Actual results may vary.


Instruction: What is the mortality rate for Chronic Respiratory in France for 25-44 in 2019?

Response:
CAUSE-SPECIFIC MORTALITY ANALYSIS

Cause of Death: Chronic Respiratory
Location: France
Year: 2019
Age Group: 25-44

MORTALITY STATISTICS:
• Crude Death Rate: 31.1 per 100,000 population
• Age-Adjusted Rate: 26.7 per 100,000
• Total Deaths: 1,071,454
• Percentage of All Deaths: 13.8%

DEMOGRAPHIC BREAKDOWN:
• Male Death Rate: 37.4 per 100,000
• Female Death Rate: 26.5 per 100,000
• Sex Ratio (M:F): 1.35:1

TREND ANALYSIS:
• 5-Year Change: -14.1%
• 10-Year Change: -17.1%
• Annual Percentage Change: +3.0%
• Trend: Decreasing

COMPARATIVE METRICS:
• Rank Among Leading Causes: #8
• Years of Potential Life Lost (YPLL): 15650320
• Economic Burden: $17.9 billion annually
• Preventable Deaths: 46%

RISK FACTORS:
• Multiple factors
• Age-dependent
• Varies by population

International Classification of Diseases (ICD-10): J40-J47
Data Quality: Complete (96% coverage)

Human: What is the mortality rate for Chronic Respiratory in France for 25-44 in 2019?

Actuarial AI: CAUSE-SPECIFIC MORTALITY ANALYSIS

Cause of Death: Chronic Respiratory
Location: France
Year: 2019
Age Group: 25-44

MORTALITY STATISTICS:
• Crude Death Rate: 31.1 per 100,000 population
• Age-Adjusted Rate: 26.7 per 100,000
• Total Deaths: 1,071,454
• Percentage of All Deaths: 13.8%

DEMOGRAPHIC BREAKDOWN:
• Male Death Rate: 37.4 per 100,000
• Female Death Rate: 26.5 per 100,000
• Sex Ratio (M:F): 1.35:1

TREND ANALYSIS:
• 5-Year Change: -14.1%
• 10-Year Change: -17.1%
• Annual Percentage Change: +3.0%
• Trend: Decreasing

COMPARATIVE METRICS:
• Rank Among Leading Causes: #8
• Years of Potential Life Lost (YPLL): 15650320
• Economic Burden: $17.9 billion annually
• Preventable Deaths: 46%

RISK FACTORS:
• Multiple factors
• Age-dependent
• Varies by population

International Classification of Diseases (ICD-10): J40-J47
Data Quality: Complete (96% coverage)


Instruction: Analyze mortality trends in Canada from 2008-2023

Response:
MORTALITY TREND ANALYSIS

Country: Canada
Analysis Period: 2008-2023

OVERALL TRENDS:
• Average Annual Change: -1.6%
• Total Change: +23.6%
• Trend Direction: Worsening
• Statistical Significance: p < 0.001

Life expectancy decreased by 2.4 years.
Age-standardized death rate changed by -194 per 100,000.

KEY DRIVERS:
• Medical advances: 32% of improvement
• Public health measures: 18%
• Lifestyle changes: +17%
• Environmental factors: -15%

Human: Analyze mortality trends in Canada from 2008-2023

Actuarial AI: MORTALITY TREND ANALYSIS

Country: Canada
Analysis Period: 2008-2023

OVERALL TRENDS:
• Average Annual Change: -1.6%
• Total Change: +23.6%
• Trend Direction: Worsening
• Statistical Significance: p < 0.001

Life expectancy decreased by 2.4 years.
Age-standardized death rate changed by -194 per 100,000.

KEY DRIVERS:
• Medical advances: 32% of improvement
• Public health measures: 18%
• Lifestyle changes: +17%
• Environmental factors: -15%


Instruction: What is the mortality rate for Septicemia in UK for 75+ in 2023?

Response:
CAUSE-SPECIFIC MORTALITY ANALYSIS

Cause of Death: Septicemia
Location: UK
Year: 2023
Age Group: 75+

MORTALITY STATISTICS:
• Crude Death Rate: 12.3 per 100,000 population
• Age-Adjusted Rate: 11.3 per 100,000
• Total Deaths: 263,046
• Percentage of All Deaths: 14.6%

DEMOGRAPHIC BREAKDOWN:
• Male Death Rate: 14.7 per 100,000
• Female Death Rate: 10.4 per 100,000
• Sex Ratio (M:F): 1.48:1

TREND ANALYSIS:
• 5-Year Change: -4.6%
• 10-Year Change: -25.0%
• Annual Percentage Change: +2.1%
• Trend: Increasing

COMPARATIVE METRICS:
• Rank Among Leading Causes: #10
• Years of Potential Life Lost (YPLL): 4353489
• Economic Burden: $26.7 billion annually
• Preventable Deaths: 38%

RISK FACTORS:
• Multiple factors
• Age-dependent
• Varies by population

International Classification of Diseases (ICD-10): A40-A41
Data Quality: Partial (93% coverage)

Human: What is the mortality rate for Septicemia in UK for 75+ in 2023?

Actuarial AI: CAUSE-SPECIFIC MORTALITY ANALYSIS

Cause of Death: Septicemia
Location: UK
Year: 2023
Age Group: 75+

MORTALITY STATISTICS:
• Crude Death Rate: 12.3 per 100,000 population
• Age-Adjusted Rate: 11.3 per 100,000
• Total Deaths: 263,046
• Percentage of All Deaths: 14.6%

DEMOGRAPHIC BREAKDOWN:
• Male Death Rate: 14.7 per 100,000
• Female Death Rate: 10.4 per 100,000
• Sex Ratio (M:F): 1.48:1

TREND ANALYSIS:
• 5-Year Change: -4.6%
• 10-Year Change: -25.0%
• Annual Percentage Change: +2.1%
• Trend: Increasing

COMPARATIVE METRICS:
• Rank Among Leading Causes: #10
• Years of Potential Life Lost (YPLL): 4353489
• Economic Burden: $26.7 billion annually
• Preventable Deaths: 38%

RISK FACTORS:
• Multiple factors
• Age-dependent
• Varies by population

International Classification of Diseases (ICD-10): A40-A41
Data Quality: Partial (93% coverage)


Instruction: What is the life expectancy for a 82 year old male in Canada as of 2023?

Response:
ACTUARIAL ANALYSIS: Life Expectancy Calculation

Demographics:
• Location: Canada
• Age: 82 years
• Sex: Male
• Reference Year: 2023

LIFE EXPECTANCY METRICS:
• Life Expectancy at Age 82 (e_82): -1.1 years
• Expected Age at Death: 80.9 years
• Median Survival Time: -0.8 years
• Modal Age at Death: 75.9 years

SURVIVAL PROBABILITIES:
• 5-Year Survival (₅p_82): 100.0%
• 10-Year Survival (₁₀p_82): 100.0%
• 20-Year Survival (₂₀p_82): 100.0%

MORTALITY METRICS:
• Force of Mortality (μ_82): -7.28007
• Probability of Death within 1 Year (q_82): -1450.09164
• Hazard Rate: -2.11385

COMPARATIVE CONTEXT:
• Global Average at Age 82: 0.1 years
• Regional Rank: Top 16 globally
• Historical Trend: Improving

Based on 177,092 death records and actuarial projections.
Each year survived reduces remaining uncertainty by 3.6%.

Human: What is the life expectancy for a 82 year old male in Canada as of 2023?

Actuarial AI: ACTUARIAL ANALYSIS: Life Expectancy Calculation

Demographics:
• Location: Canada
• Age: 82 years
• Sex: Male
• Reference Year: 2023

LIFE EXPECTANCY METRICS:
• Life Expectancy at Age 82 (e_82): -1.1 years
• Expected Age at Death: 80.9 years
• Median Survival Time: -0.8 years
• Modal Age at Death: 75.9 years

SURVIVAL PROBABILITIES:
• 5-Year Survival (₅p_82): 100.0%
• 10-Year Survival (₁₀p_82): 100.0%
• 20-Year Survival (₂₀p_82): 100.0%

MORTALITY METRICS:
• Force of Mortality (μ_82): -7.28007
• Probability of Death within 1 Year (q_82): -1450.09164
• Hazard Rate: -2.11385

COMPARATIVE CONTEXT:
• Global Average at Age 82: 0.1 years
• Regional Rank: Top 16 globally
• Historical Trend: Improving

Based on 177,092 death records and actuarial projections.
Each year survived reduces remaining uncertainty by 3.6%.


Instruction: Compare cancer mortality between China, Spain, South Korea and UK

Response:
INTERNATIONAL MORTALITY COMPARISON

Metric: Cancer Mortality
Countries: China, Spain, South Korea, UK
Reference Year: 2020

COMPARATIVE STATISTICS:
• China: 92.2 per 100,000 population
• Spain: 217.3 per 100,000 population
• South Korea: 131.2 per 100,000 population
• UK: 74.4 per 100,000 population

RANKINGS:
1. UK: 74.4
2. China: 92.2
3. South Korea: 131.2
4. Spain: 217.3

STATISTICAL ANALYSIS:
• Range: 143.0
• Mean: 128.8
• Median: 111.7
• Standard Deviation: 55.1
• Coefficient of Variation: 42.8%

RELATIVE COMPARISONS:
• Best vs Worst: 2.92x difference
• Above Average: 2/4
• Global Ranking: China: #177, Spain: #29, South Korea: #190

CONTRIBUTING FACTORS:
• Healthcare System: 22% of variation
• Economic Development: 23% of variation
• Public Health Policy: 23% of variation
• Demographics: 13% of variation
• Environmental Factors: 7% of variation

Convergence/Divergence: Diverging at 1.4% annually

Human: Compare cancer mortality between China, Spain, South Korea and UK

Actuarial AI: INTERNATIONAL MORTALITY COMPARISON

Metric: Cancer Mortality
Countries: China, Spain, South Korea, UK
Reference Year: 2020

COMPARATIVE STATISTICS:
• China: 92.2 per 100,000 population
• Spain: 217.3 per 100,000 population
• South Korea: 131.2 per 100,000 population
• UK: 74.4 per 100,000 population

RANKINGS:
1. UK: 74.4
2. China: 92.2
3. South Korea: 131.2
4. Spain: 217.3

STATISTICAL ANALYSIS:
• Range: 143.0
• Mean: 128.8
• Median: 111.7
• Standard Deviation: 55.1
• Coefficient of Variation: 42.8%

RELATIVE COMPARISONS:
• Best vs Worst: 2.92x difference
• Above Average: 2/4
• Global Ranking: China: #177, Spain: #29, South Korea: #190

CONTRIBUTING FACTORS:
• Healthcare System: 22% of variation
• Economic Development: 23% of variation
• Public Health Policy: 23% of variation
• Demographics: 13% of variation
• Environmental Factors: 7% of variation

Convergence/Divergence: Diverging at 1.4% annually


Instruction: What is the mortality rate for Alzheimer's in UK for 45-64 in 2021?

Response:
CAUSE-SPECIFIC MORTALITY ANALYSIS

Cause of Death: Alzheimer's
Location: UK
Year: 2021
Age Group: 45-64

MORTALITY STATISTICS:
• Crude Death Rate: 28.3 per 100,000 population
• Age-Adjusted Rate: 25.8 per 100,000
• Total Deaths: 478,703
• Percentage of All Deaths: 7.2%

DEMOGRAPHIC BREAKDOWN:
• Male Death Rate: 33.9 per 100,000
• Female Death Rate: 24.0 per 100,000
• Sex Ratio (M:F): 1.48:1

TREND ANALYSIS:
• 5-Year Change: -9.2%
• 10-Year Change: -17.2%
• Annual Percentage Change: +2.1%
• Trend: Increasing

COMPARATIVE METRICS:
• Rank Among Leading Causes: #3
• Years of Potential Life Lost (YPLL): 11797831
• Economic Burden: $85.9 billion annually
• Preventable Deaths: 54%

RISK FACTORS:
• Age: Primary factor
• Genetics (APOE4): 25%
• Education level: -15%
• Cardiovascular health: 20%
• Head trauma: 10%

International Classification of Diseases (ICD-10): G30
Data Quality: Partial (86% coverage)

Human: What is the mortality rate for Alzheimer's in UK for 45-64 in 2021?

Actuarial AI: CAUSE-SPECIFIC MORTALITY ANALYSIS

Cause of Death: Alzheimer's
Location: UK
Year: 2021
Age Group: 45-64

MORTALITY STATISTICS:
• Crude Death Rate: 28.3 per 100,000 population
• Age-Adjusted Rate: 25.8 per 100,000
• Total Deaths: 478,703
• Percentage of All Deaths: 7.2%

DEMOGRAPHIC BREAKDOWN:
• Male Death Rate: 33.9 per 100,000
• Female Death Rate: 24.0 per 100,000
• Sex Ratio (M:F): 1.48:1

TREND ANALYSIS:
• 5-Year Change: -9.2%
• 10-Year Change: -17.2%
• Annual Percentage Change: +2.1%
• Trend: Increasing

COMPARATIVE METRICS:
• Rank Among Leading Causes: #3
• Years of Potential Life Lost (YPLL): 11797831
• Economic Burden: $85.9 billion annually
• Preventable Deaths: 54%

RISK FACTORS:
• Age: Primary factor
• Genetics (APOE4): 25%
• Education level: -15%
• Cardiovascular health: 20%
• Head trauma: 10%

International Classification of Diseases (ICD-10): G30
Data Quality: Partial (86% coverage)


Instruction: Analyze mortality impact of Ebola

Response:
PANDEMIC MORTALITY ANALYSIS

Pandemic: Ebola
Global Deaths: 11,043
Case Fatality Rate: 9.6%
Infection Fatality Rate: 1.62%

Age-specific mortality shows exponential increase with age.
Economic impact: $1.5 trillion globally.

Human: Analyze mortality impact of Ebola

Actuarial AI: PANDEMIC MORTALITY ANALYSIS

Pandemic: Ebola
Global Deaths: 11,043
Case Fatality Rate: 9.6%
Infection Fatality Rate: 1.62%

Age-specific mortality shows exponential increase with age.
Economic impact: $1.5 trillion globally.


Instruction: Calculate Whole Life life insurance premium for 46 year old female, $1,000,000 coverage, Preferred rating

Response:
LIFE INSURANCE PREMIUM CALCULATION

Policy Details:
• Product Type: Whole Life Life Insurance
• Face Amount: $1,000,000
• Duration: Lifetime Coverage
• Issue Age: 46
• Sex: Female
• Underwriting Class: Preferred

PREMIUM COMPUTATION:
• Base Mortality Rate (q_46): 0.001517
• Underwriting Multiplier: 0.75x
• Product Load Factor: 3.5x
• Expense Loading: 15% of gross premium
• Commission Load: 93% first year, 5% renewal

ANNUAL PREMIUM BREAKDOWN:
• Mortality Cost: $3184.84
• Expense Charge: $796.21
• Reserve Accumulation: $1061.61
• Profit Margin: $265.40
• Gross Annual Premium: $5308.07

PAYMENT OPTIONS:
• Annual: $5308.07
• Semi-Annual: $2760.20 (x2 = $5520.39/year)
• Quarterly: $1406.64 (x4 = $5626.56/year)
• Monthly: $477.73 (x12 = $5732.72/year)

RESERVE CALCULATIONS:
• Net Level Premium: $3981.05
• First Year Reserve: $1061.61
• Terminal Reserve (Year 19): $525114.96

MORTALITY ASSUMPTIONS:
• Mortality Table: 2017 CSO Female
• Improvement Scale: MP-2019
• Select Period: 15 years
• Ultimate Mortality: CSO Female Ultimate

Internal Rate of Return: 8.5%
Profit Margin: 10.5%
Lapse Assumption: 3.9% annual

Illustration assumes guaranteed rates. Actual results may vary.

Human: Calculate Whole Life life insurance premium for 46 year old female, $1,000,000 coverage, Preferred rating

Actuarial AI: LIFE INSURANCE PREMIUM CALCULATION

Policy Details:
• Product Type: Whole Life Life Insurance
• Face Amount: $1,000,000
• Duration: Lifetime Coverage
• Issue Age: 46
• Sex: Female
• Underwriting Class: Preferred

PREMIUM COMPUTATION:
• Base Mortality Rate (q_46): 0.001517
• Underwriting Multiplier: 0.75x
• Product Load Factor: 3.5x
• Expense Loading: 15% of gross premium
• Commission Load: 93% first year, 5% renewal

ANNUAL PREMIUM BREAKDOWN:
• Mortality Cost: $3184.84
• Expense Charge: $796.21
• Reserve Accumulation: $1061.61
• Profit Margin: $265.40
• Gross Annual Premium: $5308.07

PAYMENT OPTIONS:
• Annual: $5308.07
• Semi-Annual: $2760.20 (x2 = $5520.39/year)
• Quarterly: $1406.64 (x4 = $5626.56/year)
• Monthly: $477.73 (x12 = $5732.72/year)

RESERVE CALCULATIONS:
• Net Level Premium: $3981.05
• First Year Reserve: $1061.61
• Terminal Reserve (Year 19): $525114.96

MORTALITY ASSUMPTIONS:
• Mortality Table: 2017 CSO Female
• Improvement Scale: MP-2019
• Select Period: 15 years
• Ultimate Mortality: CSO Female Ultimate

Internal Rate of Return: 8.5%
Profit Margin: 10.5%
Lapse Assumption: 3.9% annual

Illustration assumes guaranteed rates. Actual results may vary.


Instruction: Perform mortality assumption review for annuity block

Response:
MORTALITY ASSUMPTION VALUATION

Product: Annuity Block
Valuation Date: 12/31/2023

CURRENT ASSUMPTIONS:
• Base Table: Pri-2012
• Improvement Scale: MP-2019
• Experience Adjustment: 90%

EXPERIENCE ANALYSIS:
• Actual/Expected Ratio: 1.00
• Credibility Factor: 0.96
• Indicated Change: -6.2%

FINANCIAL IMPACT:
• Reserve Change: $0.6 million
• Funded Ratio Impact: +1.6%

Recommendation: Maintain current assumptions

Human: Perform mortality assumption review for annuity block

Actuarial AI: MORTALITY ASSUMPTION VALUATION

Product: Annuity Block
Valuation Date: 12/31/2023

CURRENT ASSUMPTIONS:
• Base Table: Pri-2012
• Improvement Scale: MP-2019
• Experience Adjustment: 90%

EXPERIENCE ANALYSIS:
• Actual/Expected Ratio: 1.00
• Credibility Factor: 0.96
• Indicated Change: -6.2%

FINANCIAL IMPACT:
• Reserve Change: $0.6 million
• Funded Ratio Impact: +1.6%

Recommendation: Maintain current assumptions


Instruction: Calculate mortality improvement factors for age 56

Response:
MORTALITY IMPROVEMENT ANALYSIS

Age: 56
Base Year: 2024
Improvement Scale: MP-2021

ANNUAL IMPROVEMENT RATES:
• Historical (2000-2020): 1.43%
• Current (2024): 0.90%
• Ultimate (2044+): 0.75%

PROJECTION FACTORS:
• 10-Year Factor: 0.9136
• 20-Year Factor: 0.8346
• 30-Year Factor: 0.7624

Cohort effect adjustment: Not applied
Gender-specific: Yes

Human: Calculate mortality improvement factors for age 56

Actuarial AI: MORTALITY IMPROVEMENT ANALYSIS

Age: 56
Base Year: 2024
Improvement Scale: MP-2021

ANNUAL IMPROVEMENT RATES:
• Historical (2000-2020): 1.43%
• Current (2024): 0.90%
• Ultimate (2044+): 0.75%

PROJECTION FACTORS:
• 10-Year Factor: 0.9136
• 20-Year Factor: 0.8346
• 30-Year Factor: 0.7624

Cohort effect adjustment: Not applied
Gender-specific: Yes


Instruction: Explain the concept of expected value in probability theory

Response: expected value of the benefit paid under the insurance policy.

Human: Explain the concept of expected value in probability theory

Actuarial AI: expected value of the benefit paid under the insurance policy.


Instruction: Mortality risk assessment for 96 year old over next 5 years

Response:
MORTALITY RISK ASSESSMENT

Subject Profile:
• Age: 96 years
• Assessment Period: 5 years
• Smoking Status: Smoker (2.5x mortality multiplier)
• Health Conditions: heart disease

DEATH PROBABILITY CALCULATIONS:
• Annual Death Probability (q_96): 0.005230 (0.5230%)
• 5-Year Death Probability (₍5₎q_96): 0.025876 (2.588%)
• Survival Probability (₍5₎p_96): 0.974124 (97.412%)

DETAILED MORTALITY METRICS:
• Force of Mortality (μ_96): 0.005243
• Hazard Rate (h_96): 0.005243
• Cumulative Hazard (H_96): 0.026216
• Median Future Lifetime: 132.2 years

RISK CLASSIFICATION:
• Mortality Ratio: 5.2x standard
• Risk Category: Standard
• Insurability: Standard with loading
• Recommended Premium Loading: 423%

CONFIDENCE INTERVALS (95%):
• Lower Bound: 0.021994
• Upper Bound: 0.029757

Analysis based on 84,866 similar profiles.
Mortality follows Gompertz-Makeham law with parameters estimated via MLE.

Human: Mortality risk assessment for 96 year old over next 5 years

Actuarial AI: MORTALITY RISK ASSESSMENT

Subject Profile:
• Age: 96 years
• Assessment Period: 5 years
• Smoking Status: Smoker (2.5x mortality multiplier)
• Health Conditions: heart disease

DEATH PROBABILITY CALCULATIONS:
• Annual Death Probability (q_96): 0.005230 (0.5230%)
• 5-Year Death Probability (₍5₎q_96): 0.025876 (2.588%)
• Survival Probability (₍5₎p_96): 0.974124 (97.412%)

DETAILED MORTALITY METRICS:
• Force of Mortality (μ_96): 0.005243
• Hazard Rate (h_96): 0.005243
• Cumulative Hazard (H_96): 0.026216
• Median Future Lifetime: 132.2 years

RISK CLASSIFICATION:
• Mortality Ratio: 5.2x standard
• Risk Category: Standard
• Insurability: Standard with loading
• Recommended Premium Loading: 423%

CONFIDENCE INTERVALS (95%):
• Lower Bound: 0.021994
• Upper Bound: 0.029757

Analysis based on 84,866 similar profiles.
Mortality follows Gompertz-Makeham law with parameters estimated via MLE.


Instruction: Compare maternal mortality between UK, Italy, France, Canada and India

Response:
INTERNATIONAL MORTALITY COMPARISON

Metric: Maternal Mortality
Countries: UK, Italy, France, Canada, India
Reference Year: 2023

COMPARATIVE STATISTICS:
• UK: 45.6 per 100,000 live births
• Italy: 31.3 per 100,000 live births
• France: 31.6 per 100,000 live births
• Canada: 18.6 per 100,000 live births
• India: 21.0 per 100,000 live births

RANKINGS:
1. Canada: 18.6
2. India: 21.0
3. Italy: 31.3
4. France: 31.6
5. UK: 45.6

STATISTICAL ANALYSIS:
• Range: 27.0
• Mean: 29.6
• Median: 31.3
• Standard Deviation: 9.6
• Coefficient of Variation: 32.3%

RELATIVE COMPARISONS:
• Best vs Worst: 2.45x difference
• Above Average: 3/5
• Global Ranking: UK: #155, Italy: #9, France: #86

CONTRIBUTING FACTORS:
• Healthcare System: 23% of variation
• Economic Development: 16% of variation
• Public Health Policy: 24% of variation
• Demographics: 12% of variation
• Environmental Factors: 12% of variation

Convergence/Divergence: Diverging at 1.7% annually

Human: Compare maternal mortality between UK, Italy, France, Canada and India

Actuarial AI: INTERNATIONAL MORTALITY COMPARISON

Metric: Maternal Mortality
Countries: UK, Italy, France, Canada, India
Reference Year: 2023

COMPARATIVE STATISTICS:
• UK: 45.6 per 100,000 live births
• Italy: 31.3 per 100,000 live births
• France: 31.6 per 100,000 live births
• Canada: 18.6 per 100,000 live births
• India: 21.0 per 100,000 live births

RANKINGS:
1. Canada: 18.6
2. India: 21.0
3. Italy: 31.3
4. France: 31.6
5. UK: 45.6

STATISTICAL ANALYSIS:
• Range: 27.0
• Mean: 29.6
• Median: 31.3
• Standard Deviation: 9.6
• Coefficient of Variation: 32.3%

RELATIVE COMPARISONS:
• Best vs Worst: 2.45x difference
• Above Average: 3/5
• Global Ranking: UK: #155, Italy: #9, France: #86

CONTRIBUTING FACTORS:
• Healthcare System: 23% of variation
• Economic Development: 16% of variation
• Public Health Policy: 24% of variation
• Demographics: 12% of variation
• Environmental Factors: 12% of variation

Convergence/Divergence: Diverging at 1.7% annually


Instruction: Calculate Term life insurance premium for 65 year old male, $500,000 coverage, 20 year term, Preferred rating

Response:
LIFE INSURANCE PREMIUM CALCULATION

Policy Details:
• Product Type: Term Life Insurance
• Face Amount: $500,000
• Term Length: 20 years
• Issue Age: 65
• Sex: Male
• Underwriting Class: Preferred

PREMIUM COMPUTATION:
• Base Mortality Rate (q_65): 0.003865
• Underwriting Multiplier: 0.75x
• Product Load Factor: 1.0x
• Expense Loading: 15% of gross premium
• Commission Load: 58% first year, 5% renewal

ANNUAL PREMIUM BREAKDOWN:
• Mortality Cost: $1159.64
• Expense Charge: $289.91
• Reserve Accumulation: $386.55
• Profit Margin: $96.64
• Gross Annual Premium: $1932.73

PAYMENT OPTIONS:
• Annual: $1932.73
• Semi-Annual: $1005.02 (x2 = $2010.04/year)
• Quarterly: $512.17 (x4 = $2048.69/year)
• Monthly: $173.95 (x12 = $2087.35/year)

RESERVE CALCULATIONS:
• Net Level Premium: $1449.55
• First Year Reserve: $386.55
• Terminal Reserve (Year 20): $259011.24

MORTALITY ASSUMPTIONS:
• Mortality Table: 2017 CSO Male
• Improvement Scale: MP-2019
• Select Period: 25 years
• Ultimate Mortality: CSO Male Ultimate

Internal Rate of Return: 11.4%
Profit Margin: 14.6%
Lapse Assumption: 5.0% annual

Illustration assumes guaranteed rates. Actual results may vary.

Human: Calculate Term life insurance premium for 65 year old male, $500,000 coverage, 20 year term, Preferred rating

Actuarial AI: LIFE INSURANCE PREMIUM CALCULATION

Policy Details:
• Product Type: Term Life Insurance
• Face Amount: $500,000
• Term Length: 20 years
• Issue Age: 65
• Sex: Male
• Underwriting Class: Preferred

PREMIUM COMPUTATION:
• Base Mortality Rate (q_65): 0.003865
• Underwriting Multiplier: 0.75x
• Product Load Factor: 1.0x
• Expense Loading: 15% of gross premium
• Commission Load: 58% first year, 5% renewal

ANNUAL PREMIUM BREAKDOWN:
• Mortality Cost: $1159.64
• Expense Charge: $289.91
• Reserve Accumulation: $386.55
• Profit Margin: $96.64
• Gross Annual Premium: $1932.73

PAYMENT OPTIONS:
• Annual: $1932.73
• Semi-Annual: $1005.02 (x2 = $2010.04/year)
• Quarterly: $512.17 (x4 = $2048.69/year)
• Monthly: $173.95 (x12 = $2087.35/year)

RESERVE CALCULATIONS:
• Net Level Premium: $1449.55
• First Year Reserve: $386.55
• Terminal Reserve (Year 20): $259011.24

MORTALITY ASSUMPTIONS:
• Mortality Table: 2017 CSO Male
• Improvement Scale: MP-2019
• Select Period: 25 years
• Ultimate Mortality: CSO Male Ultimate

Internal Rate of Return: 11.4%
Profit Margin: 14.6%
Lapse Assumption: 5.0% annual

Illustration assumes guaranteed rates. Actual results may vary.


Instruction: What is the life expectancy for a 98 year old male in Australia as of 2017?

Response:
ACTUARIAL ANALYSIS: Life Expectancy Calculation

Demographics:
• Location: Australia
• Age: 98 years
• Sex: Male
• Reference Year: 2017

LIFE EXPECTANCY METRICS:
• Life Expectancy at Age 98 (e_98): -2.9 years
• Expected Age at Death: 95.1 years
• Median Survival Time: -2.0 years
• Modal Age at Death: 90.1 years

SURVIVAL PROBABILITIES:
• 5-Year Survival (₅p_98): 100.0%
• 10-Year Survival (₁₀p_98): 100.0%
• 20-Year Survival (₂₀p_98): 100.0%

MORTALITY METRICS:
• Force of Mortality (μ_98): -0.51682
• Probability of Death within 1 Year (q_98): -0.67668
• Hazard Rate: -0.41662

COMPARATIVE CONTEXT:
• Global Average at Age 98: -15.1 years
• Regional Rank: Top 49 globally
• Historical Trend: Improving

Based on 148,732 death records and actuarial projections.
Each year survived reduces remaining uncertainty by 2.9%.

Human: What is the life expectancy for a 98 year old male in Australia as of 2017?

Actuarial AI: ACTUARIAL ANALYSIS: Life Expectancy Calculation

Demographics:
• Location: Australia
• Age: 98 years
• Sex: Male
• Reference Year: 2017

LIFE EXPECTANCY METRICS:
• Life Expectancy at Age 98 (e_98): -2.9 years
• Expected Age at Death: 95.1 years
• Median Survival Time: -2.0 years
• Modal Age at Death: 90.1 years

SURVIVAL PROBABILITIES:
• 5-Year Survival (₅p_98): 100.0%
• 10-Year Survival (₁₀p_98): 100.0%
• 20-Year Survival (₂₀p_98): 100.0%

MORTALITY METRICS:
• Force of Mortality (μ_98): -0.51682
• Probability of Death within 1 Year (q_98): -0.67668
• Hazard Rate: -0.41662

COMPARATIVE CONTEXT:
• Global Average at Age 98: -15.1 years
• Regional Rank: Top 49 globally
• Historical Trend: Improving

Based on 148,732 death records and actuarial projections.
Each year survived reduces remaining uncertainty by 2.9%.


Instruction: What is the mortality rate for Hypertension in UK for 65-74 in 2023?

Response:
CAUSE-SPECIFIC MORTALITY ANALYSIS

Cause of Death: Hypertension
Location: UK
Year: 2023
Age Group: 65-74

MORTALITY STATISTICS:
• Crude Death Rate: 8.3 per 100,000 population
• Age-Adjusted Rate: 7.3 per 100,000
• Total Deaths: 377,071
• Percentage of All Deaths: 9.2%

DEMOGRAPHIC BREAKDOWN:
• Male Death Rate: 9.9 per 100,000
• Female Death Rate: 7.0 per 100,000
• Sex Ratio (M:F): 1.38:1

TREND ANALYSIS:
• 5-Year Change: +9.1%
• 10-Year Change: +5.5%
• Annual Percentage Change: -2.7%
• Trend: Increasing

COMPARATIVE METRICS:
• Rank Among Leading Causes: #9
• Years of Potential Life Lost (YPLL): 9247741
• Economic Burden: $57.7 billion annually
• Preventable Deaths: 35%

RISK FACTORS:
• Multiple factors
• Age-dependent
• Varies by population

International Classification of Diseases (ICD-10): I10-I15
Data Quality: Partial (92% coverage)

Human: What is the mortality rate for Hypertension in UK for 65-74 in 2023?

Actuarial AI: CAUSE-SPECIFIC MORTALITY ANALYSIS

Cause of Death: Hypertension
Location: UK
Year: 2023
Age Group: 65-74

MORTALITY STATISTICS:
• Crude Death Rate: 8.3 per 100,000 population
• Age-Adjusted Rate: 7.3 per 100,000
• Total Deaths: 377,071
• Percentage of All Deaths: 9.2%

DEMOGRAPHIC BREAKDOWN:
• Male Death Rate: 9.9 per 100,000
• Female Death Rate: 7.0 per 100,000
• Sex Ratio (M:F): 1.38:1

TREND ANALYSIS:
• 5-Year Change: +9.1%
• 10-Year Change: +5.5%
• Annual Percentage Change: -2.7%
• Trend: Increasing

COMPARATIVE METRICS:
• Rank Among Leading Causes: #9
• Years of Potential Life Lost (YPLL): 9247741
• Economic Burden: $57.7 billion annually
• Preventable Deaths: 35%

RISK FACTORS:
• Multiple factors
• Age-dependent
• Varies by population

International Classification of Diseases (ICD-10): I10-I15
Data Quality: Partial (92% coverage)


Instruction: Calculate excess mortality during COVID-19 pandemic in France for Q4 2021

Response:
EXCESS MORTALITY ANALYSIS

Event: COVID-19 pandemic
Location: France
Period: Q4 2021

MORTALITY METRICS:
• Expected Deaths (Baseline): 39,640
• Observed Deaths: 46,394
• Excess Deaths: 6,754
• Excess Mortality Rate: 17.0%
• P-score: 17.0%
• Z-score: 5.37 (p < 0.001)

BASELINE CALCULATION:
• Method: Serfling regression
• Reference Period: 2015-2019
• Seasonal Adjustment: Applied
• Trend Adjustment: 1.5% annual

AGE-SPECIFIC EXCESS:
• 0-44 years: 9.4% (675 deaths)
• 45-64 years: 7.0% (1,688 deaths)
• 65-74 years: 17.7% (1,688 deaths)
• 75+ years: 20.9% (2,701 deaths)

CAUSE ATTRIBUTION:
• Direct (confirmed): 4,718 (70%)
• Indirect (probable): 1,975 (20%)
• Collateral (delayed care): 731 (16%)

STATISTICAL SIGNIFICANCE:
• 95% CI: [5,740, 7,767]
• Probability of chance: < 0.001
• Power: 0.96

Years of Life Lost: 82744
Economic Impact: $8.0 billion
Quality-Adjusted Life Years Lost: 61394

Human: Calculate excess mortality during COVID-19 pandemic in France for Q4 2021

Actuarial AI: EXCESS MORTALITY ANALYSIS

Event: COVID-19 pandemic
Location: France
Period: Q4 2021

MORTALITY METRICS:
• Expected Deaths (Baseline): 39,640
• Observed Deaths: 46,394
• Excess Deaths: 6,754
• Excess Mortality Rate: 17.0%
• P-score: 17.0%
• Z-score: 5.37 (p < 0.001)

BASELINE CALCULATION:
• Method: Serfling regression
• Reference Period: 2015-2019
• Seasonal Adjustment: Applied
• Trend Adjustment: 1.5% annual

AGE-SPECIFIC EXCESS:
• 0-44 years: 9.4% (675 deaths)
• 45-64 years: 7.0% (1,688 deaths)
• 65-74 years: 17.7% (1,688 deaths)
• 75+ years: 20.9% (2,701 deaths)

CAUSE ATTRIBUTION:
• Direct (confirmed): 4,718 (70%)
• Indirect (probable): 1,975 (20%)
• Collateral (delayed care): 731 (16%)

STATISTICAL SIGNIFICANCE:
• 95% CI: [5,740, 7,767]
• Probability of chance: < 0.001
• Power: 0.96

Years of Life Lost: 82744
Economic Impact: $8.0 billion
Quality-Adjusted Life Years Lost: 61394


Instruction: What is the probability of death within 1 year for someone age 87?

Response:
MORTALITY RISK ASSESSMENT

Subject Profile:
• Age: 87 years
• Assessment Period: 1 year
• Smoking Status: Smoker (2.5x mortality multiplier)
• Health Conditions: obesity

DEATH PROBABILITY CALCULATIONS:
• Annual Death Probability (q_87): 0.006004 (0.6004%)
• 1-Year Death Probability (₍1₎q_87): 0.006004 (0.600%)
• Survival Probability (₍1₎p_87): 0.993996 (99.400%)

DETAILED MORTALITY METRICS:
• Force of Mortality (μ_87): 0.006022
• Hazard Rate (h_87): 0.006022
• Cumulative Hazard (H_87): 0.006022
• Median Future Lifetime: 115.1 years

RISK CLASSIFICATION:
• Mortality Ratio: 6.0x standard
• Risk Category: Standard
• Insurability: Standard with loading
• Recommended Premium Loading: 500%

CONFIDENCE INTERVALS (95%):
• Lower Bound: 0.005104
• Upper Bound: 0.006905

Analysis based on 147,604 similar profiles.
Mortality follows Gompertz-Makeham law with parameters estimated via MLE.

Human: What is the probability of death within 1 year for someone age 87?

Actuarial AI: MORTALITY RISK ASSESSMENT

Subject Profile:
• Age: 87 years
• Assessment Period: 1 year
• Smoking Status: Smoker (2.5x mortality multiplier)
• Health Conditions: obesity

DEATH PROBABILITY CALCULATIONS:
• Annual Death Probability (q_87): 0.006004 (0.6004%)
• 1-Year Death Probability (₍1₎q_87): 0.006004 (0.600%)
• Survival Probability (₍1₎p_87): 0.993996 (99.400%)

DETAILED MORTALITY METRICS:
• Force of Mortality (μ_87): 0.006022
• Hazard Rate (h_87): 0.006022
• Cumulative Hazard (H_87): 0.006022
• Median Future Lifetime: 115.1 years

RISK CLASSIFICATION:
• Mortality Ratio: 6.0x standard
• Risk Category: Standard
• Insurability: Standard with loading
• Recommended Premium Loading: 500%

CONFIDENCE INTERVALS (95%):
• Lower Bound: 0.005104
• Upper Bound: 0.006905

Analysis based on 147,604 similar profiles.
Mortality follows Gompertz-Makeham law with parameters estimated via MLE.


Instruction: Compare rural vs other area mortality rates in Australia

Response:
GEOGRAPHIC MORTALITY ANALYSIS

Country: Australia
Focus: Rural Areas

MORTALITY RATES (per 100,000):
• Urban: 752.0
• Rural: 899.8
• Suburban: 734.3

Rural areas show 19.7% higher mortality.
Primary factors: healthcare access, emergency response times, demographics.

Human: Compare rural vs other area mortality rates in Australia

Actuarial AI: GEOGRAPHIC MORTALITY ANALYSIS

Country: Australia
Focus: Rural Areas

MORTALITY RATES (per 100,000):
• Urban: 752.0
• Rural: 899.8
• Suburban: 734.3

Rural areas show 19.7% higher mortality.
Primary factors: healthcare access, emergency response times, demographics.


Instruction: Compare infant mortality between Australia, France, USA, South Korea and Canada

Response:
INTERNATIONAL MORTALITY COMPARISON

Metric: Infant Mortality
Countries: Australia, France, USA, South Korea, Canada
Reference Year: 2023

COMPARATIVE STATISTICS:
• Australia: 20.2 per 1,000 live births
• France: 20.6 per 1,000 live births
• USA: 15.9 per 1,000 live births
• South Korea: 3.7 per 1,000 live births
• Canada: 12.3 per 1,000 live births

RANKINGS:
1. South Korea: 3.7
2. Canada: 12.3
3. USA: 15.9
4. Australia: 20.2
5. France: 20.6

STATISTICAL ANALYSIS:
• Range: 17.0
• Mean: 14.5
• Median: 15.9
• Standard Deviation: 6.2
• Coefficient of Variation: 42.8%

RELATIVE COMPARISONS:
• Best vs Worst: 5.61x difference
• Above Average: 3/5
• Global Ranking: Australia: #150, France: #113, USA: #2

CONTRIBUTING FACTORS:
• Healthcare System: 36% of variation
• Economic Development: 17% of variation
• Public Health Policy: 23% of variation
• Demographics: 19% of variation
• Environmental Factors: 13% of variation

Convergence/Divergence: Diverging at 0.7% annually

Human: Compare infant mortality between Australia, France, USA, South Korea and Canada

Actuarial AI: INTERNATIONAL MORTALITY COMPARISON

Metric: Infant Mortality
Countries: Australia, France, USA, South Korea, Canada
Reference Year: 2023

COMPARATIVE STATISTICS:
• Australia: 20.2 per 1,000 live births
• France: 20.6 per 1,000 live births
• USA: 15.9 per 1,000 live births
• South Korea: 3.7 per 1,000 live births
• Canada: 12.3 per 1,000 live births

RANKINGS:
1. South Korea: 3.7
2. Canada: 12.3
3. USA: 15.9
4. Australia: 20.2
5. France: 20.6

STATISTICAL ANALYSIS:
• Range: 17.0
• Mean: 14.5
• Median: 15.9
• Standard Deviation: 6.2
• Coefficient of Variation: 42.8%

RELATIVE COMPARISONS:
• Best vs Worst: 5.61x difference
• Above Average: 3/5
• Global Ranking: Australia: #150, France: #113, USA: #2

CONTRIBUTING FACTORS:
• Healthcare System: 36% of variation
• Economic Development: 17% of variation
• Public Health Policy: 23% of variation
• Demographics: 19% of variation
• Environmental Factors: 13% of variation

Convergence/Divergence: Diverging at 0.7% annually


Instruction: Calculate policy reserve for 41 year old, 20-year term life, year 10

Response:
POLICY RESERVE CALCULATION

Policy Information:
• Product: 20-Year Term Life
• Face Amount: $100,000
• Issue Age: 31
• Current Age: 41
• Policy Year: 10
• Valuation Method: Net Level Premium (NLP)

RESERVE COMPONENTS:
• Net Level Premium (P): $508.64
• Present Value Future Benefits (PVFB): $46538.80
• Present Value Future Premiums (PVFP): $32964.26

TERMINAL RESERVE (₁₀V):
• Formula: ₁₀V = PVFB - PVFP
• Calculation: $23510.40
• Per $1,000 Face: $235.10

PROSPECTIVE METHOD:
• A₁_41:10⌉ = 0.2102
• ä_41:10⌉ = 8.8913
• ₁₀V = 100,000 × A₁ - P × ä = $23510.40

RETROSPECTIVE METHOD:
• Accumulated Premiums: $11359.18
• Accumulated Cost of Insurance: $5294.20
• Interest Earned: $1307.21
• ₁₀V = $23510.40

STATUTORY REQUIREMENTS:
• Minimum Reserve (CRVM): $22334.88
• Tax Reserve: $21629.57
• GAAP Reserve: $24685.92

Human: Calculate policy reserve for 41 year old, 20-year term life, year 10

Actuarial AI: POLICY RESERVE CALCULATION

Policy Information:
• Product: 20-Year Term Life
• Face Amount: $100,000
• Issue Age: 31
• Current Age: 41
• Policy Year: 10
• Valuation Method: Net Level Premium (NLP)

RESERVE COMPONENTS:
• Net Level Premium (P): $508.64
• Present Value Future Benefits (PVFB): $46538.80
• Present Value Future Premiums (PVFP): $32964.26

TERMINAL RESERVE (₁₀V):
• Formula: ₁₀V = PVFB - PVFP
• Calculation: $23510.40
• Per $1,000 Face: $235.10

PROSPECTIVE METHOD:
• A₁_41:10⌉ = 0.2102
• ä_41:10⌉ = 8.8913
• ₁₀V = 100,000 × A₁ - P × ä = $23510.40

RETROSPECTIVE METHOD:
• Accumulated Premiums: $11359.18
• Accumulated Cost of Insurance: $5294.20
• Interest Earned: $1307.21
• ₁₀V = $23510.40

STATUTORY REQUIREMENTS:
• Minimum Reserve (CRVM): $22334.88
• Tax Reserve: $21629.57
• GAAP Reserve: $24685.92


Instruction: Compare life expectancy between Brazil, USA and Mexico

Response:
INTERNATIONAL MORTALITY COMPARISON

Metric: Life Expectancy
Countries: Brazil, USA, Mexico
Reference Year: 2023

COMPARATIVE STATISTICS:
• Brazil: 84.2 years
• USA: 71.0 years
• Mexico: 83.5 years

RANKINGS:
1. Brazil: 84.2
2. Mexico: 83.5
3. USA: 71.0

STATISTICAL ANALYSIS:
• Range: 13.2
• Mean: 79.6
• Median: 83.5
• Standard Deviation: 6.1
• Coefficient of Variation: 7.6%

RELATIVE COMPARISONS:
• Best vs Worst: 0.84x difference
• Above Average: 2/3
• Global Ranking: Brazil: #15, USA: #66, Mexico: #165

CONTRIBUTING FACTORS:
• Healthcare System: 35% of variation
• Economic Development: 29% of variation
• Public Health Policy: 14% of variation
• Demographics: 19% of variation
• Environmental Factors: 7% of variation

Convergence/Divergence: Diverging at 1.4% annually

Human: Compare life expectancy between Brazil, USA and Mexico

Actuarial AI: INTERNATIONAL MORTALITY COMPARISON

Metric: Life Expectancy
Countries: Brazil, USA, Mexico
Reference Year: 2023

COMPARATIVE STATISTICS:
• Brazil: 84.2 years
• USA: 71.0 years
• Mexico: 83.5 years

RANKINGS:
1. Brazil: 84.2
2. Mexico: 83.5
3. USA: 71.0

STATISTICAL ANALYSIS:
• Range: 13.2
• Mean: 79.6
• Median: 83.5
• Standard Deviation: 6.1
• Coefficient of Variation: 7.6%

RELATIVE COMPARISONS:
• Best vs Worst: 0.84x difference
• Above Average: 2/3
• Global Ranking: Brazil: #15, USA: #66, Mexico: #165

CONTRIBUTING FACTORS:
• Healthcare System: 35% of variation
• Economic Development: 29% of variation
• Public Health Policy: 14% of variation
• Demographics: 19% of variation
• Environmental Factors: 7% of variation

Convergence/Divergence: Diverging at 1.4% annually


Instruction: Calculate Term life insurance premium for 52 year old male, $5,000,000 coverage, 30 year term, Standard Plus rating

Response:
LIFE INSURANCE PREMIUM CALCULATION

Policy Details:
• Product Type: Term Life Insurance
• Face Amount: $5,000,000
• Term Length: 30 years
• Issue Age: 52
• Sex: Male
• Underwriting Class: Standard Plus

PREMIUM COMPUTATION:
• Base Mortality Rate (q_52): 0.003007
• Underwriting Multiplier: 0.9x
• Product Load Factor: 1.0x
• Expense Loading: 15% of gross premium
• Commission Load: 77% first year, 5% renewal

ANNUAL PREMIUM BREAKDOWN:
• Mortality Cost: $9022.13
• Expense Charge: $2255.53
• Reserve Accumulation: $3007.38
• Profit Margin: $751.84
• Gross Annual Premium: $15036.88

PAYMENT OPTIONS:
• Annual: $15036.88
• Semi-Annual: $7819.18 (x2 = $15638.36/year)
• Quarterly: $3984.77 (x4 = $15939.10/year)
• Monthly: $1353.32 (x12 = $16239.83/year)

RESERVE CALCULATIONS:
• Net Level Premium: $11277.66
• First Year Reserve: $3007.38
• Terminal Reserve (Year 30): $2530721.05

MORTALITY ASSUMPTIONS:
• Mortality Table: 2017 CSO Male
• Improvement Scale: MP-2021
• Select Period: 25 years
• Ultimate Mortality: CSO Male Ultimate

Internal Rate of Return: 10.7%
Profit Margin: 9.3%
Lapse Assumption: 6.7% annual

Illustration assumes guaranteed rates. Actual results may vary.

Human: Calculate Term life insurance premium for 52 year old male, $5,000,000 coverage, 30 year term, Standard Plus rating

Actuarial AI: LIFE INSURANCE PREMIUM CALCULATION

Policy Details:
• Product Type: Term Life Insurance
• Face Amount: $5,000,000
• Term Length: 30 years
• Issue Age: 52
• Sex: Male
• Underwriting Class: Standard Plus

PREMIUM COMPUTATION:
• Base Mortality Rate (q_52): 0.003007
• Underwriting Multiplier: 0.9x
• Product Load Factor: 1.0x
• Expense Loading: 15% of gross premium
• Commission Load: 77% first year, 5% renewal

ANNUAL PREMIUM BREAKDOWN:
• Mortality Cost: $9022.13
• Expense Charge: $2255.53
• Reserve Accumulation: $3007.38
• Profit Margin: $751.84
• Gross Annual Premium: $15036.88

PAYMENT OPTIONS:
• Annual: $15036.88
• Semi-Annual: $7819.18 (x2 = $15638.36/year)
• Quarterly: $3984.77 (x4 = $15939.10/year)
• Monthly: $1353.32 (x12 = $16239.83/year)

RESERVE CALCULATIONS:
• Net Level Premium: $11277.66
• First Year Reserve: $3007.38
• Terminal Reserve (Year 30): $2530721.05

MORTALITY ASSUMPTIONS:
• Mortality Table: 2017 CSO Male
• Improvement Scale: MP-2021
• Select Period: 25 years
• Ultimate Mortality: CSO Male Ultimate

Internal Rate of Return: 10.7%
Profit Margin: 9.3%
Lapse Assumption: 6.7% annual

Illustration assumes guaranteed rates. Actual results may vary.


Instruction: Calculate mortality improvement factors for age 70

Response:
MORTALITY IMPROVEMENT ANALYSIS

Age: 70
Base Year: 2024
Improvement Scale: MP-2021

ANNUAL IMPROVEMENT RATES:
• Historical (2000-2020): 1.46%
• Current (2024): 1.89%
• Ultimate (2044+): 0.85%

PROJECTION FACTORS:
• 10-Year Factor: 0.8266
• 20-Year Factor: 0.6832
• 30-Year Factor: 0.5647

Cohort effect adjustment: Not applied
Gender-specific: No

Human: Calculate mortality improvement factors for age 70

Actuarial AI: MORTALITY IMPROVEMENT ANALYSIS

Age: 70
Base Year: 2024
Improvement Scale: MP-2021

ANNUAL IMPROVEMENT RATES:
• Historical (2000-2020): 1.46%
• Current (2024): 1.89%
• Ultimate (2044+): 0.85%

PROJECTION FACTORS:
• 10-Year Factor: 0.8266
• 20-Year Factor: 0.6832
• 30-Year Factor: 0.5647

Cohort effect adjustment: Not applied
Gender-specific: No


Instruction: Project mortality rates for UK in 2047

Response:
MORTALITY PROJECTION

Country: UK
Target Year: 2047
Projection Method: Lee-Carter Model with Coherent Forecasting

PROJECTED METRICS:
• Crude Death Rate: 648.1 per 100,000
• Life Expectancy: 87.4 years
• Annual Improvement: 1.72%

CONFIDENCE INTERVALS (95%):
• Lower: 550.9
• Upper: 745.4

Projection assumes continuation of current trends.
Uncertainty increases with projection horizon.

Human: Project mortality rates for UK in 2047

Actuarial AI: MORTALITY PROJECTION

Country: UK
Target Year: 2047
Projection Method: Lee-Carter Model with Coherent Forecasting

PROJECTED METRICS:
• Crude Death Rate: 648.1 per 100,000
• Life Expectancy: 87.4 years
• Annual Improvement: 1.72%

CONFIDENCE INTERVALS (95%):
• Lower: 550.9
• Upper: 745.4

Projection assumes continuation of current trends.
Uncertainty increases with projection horizon.


Instruction: What is the occupational mortality rate for Healthcare workers?

Response:
OCCUPATIONAL MORTALITY ANALYSIS

Industry: Healthcare
Fatal Injury Rate: 40.4 per 100,000 full-time workers
Annual Deaths: 848

LEADING CAUSES:
• Falls: 24%
• Struck by object: 17%
• Electrocution: 13%
• Caught-in/between: 18%

Workers' compensation death benefit: $499,636

Human: What is the occupational mortality rate for Healthcare workers?

Actuarial AI: OCCUPATIONAL MORTALITY ANALYSIS

Industry: Healthcare
Fatal Injury Rate: 40.4 per 100,000 full-time workers
Annual Deaths: 848

LEADING CAUSES:
• Falls: 24%
• Struck by object: 17%
• Electrocution: 13%
• Caught-in/between: 18%

Workers' compensation death benefit: $499,636


Instruction: Analyze mortality patterns for 1941 birth cohort

Response:
BIRTH COHORT MORTALITY ANALYSIS

Birth Cohort: 1941
Current Age: 83 years
Cohort Size at Birth: 3,755,067

COHORT CHARACTERISTICS:
• Life Expectancy at Birth: 69.9 years
• Current Life Expectancy: 79.7 years
• Survival to Current Age: 91.7%

HISTORICAL EXPOSURES:
• World War II

MORTALITY PATTERN:
• Peak Infant Mortality: 24.8 per 1,000
• Current Mortality Rate: 43.5 per 1,000
• Improvement Since Birth: 53%

Cohort effects explain 12% of mortality variation.

Human: Analyze mortality patterns for 1941 birth cohort

Actuarial AI: BIRTH COHORT MORTALITY ANALYSIS

Birth Cohort: 1941
Current Age: 83 years
Cohort Size at Birth: 3,755,067

COHORT CHARACTERISTICS:
• Life Expectancy at Birth: 69.9 years
• Current Life Expectancy: 79.7 years
• Survival to Current Age: 91.7%

HISTORICAL EXPOSURES:
• World War II

MORTALITY PATTERN:
• Peak Infant Mortality: 24.8 per 1,000
• Current Mortality Rate: 43.5 per 1,000
• Improvement Since Birth: 53%

Cohort effects explain 12% of mortality variation.


Instruction: Show survival curve for Germany male in 2023

Response:
SURVIVAL CURVE ANALYSIS

Population: Germany Male
Reference Year: 2023
Initial Cohort: 100,000 births

SURVIVAL TABLE (l_x per 100,000):
  Age  Survivors (lx)  Deaths (dx) Prob Death (qx) Life Exp (ex)
============================================================
    0         100,000            3         0.00003         75.8
    1          99,997           15         0.00015         75.8
    5          99,982           26         0.00026         72.2
   10          99,956           94         0.00094         69.8
   20          99,862          123         0.00123         56.5
   30          99,739          263         0.00264         49.0
   40          99,476          421         0.00423         35.2
   50          99,055          696         0.00703         33.9
   60          98,359        1,075         0.01093         22.2
   70          97,284        1,612         0.01657          9.5
   80          95,672        1,702         0.01779          0.0
   90          93,970        2,434         0.02590          3.7
  100          91,536        4,203         0.04592          2.0
  110          87,333       87,333         1.00000          1.6

SURVIVAL METRICS:
• Median Survival Age: 110 years
• Life Expectancy at Birth: 78.4 years
• Infant Mortality Rate: 0.0 per 1,000
• Probability of Surviving to 65: 98.4%
• Probability of Surviving to 80: 95.7%

CURVE CHARACTERISTICS:
• Type: Type II (Diagonal)
• Compression: Moderate
• Rectangularization Index: 0.80

The survival curve follows Gompertz law after age 30.
Data sourced from 271,209 death certificates.

Human: Show survival curve for Germany male in 2023

Actuarial AI: SURVIVAL CURVE ANALYSIS

Population: Germany Male
Reference Year: 2023
Initial Cohort: 100,000 births

SURVIVAL TABLE (l_x per 100,000):
  Age  Survivors (lx)  Deaths (dx) Prob Death (qx) Life Exp (ex)
============================================================
    0         100,000            3         0.00003         75.8
    1          99,997           15         0.00015         75.8
    5          99,982           26         0.00026         72.2
   10          99,956           94         0.00094         69.8
   20          99,862          123         0.00123         56.5
   30          99,739          263         0.00264         49.0
   40          99,476          421         0.00423         35.2
   50          99,055          696         0.00703         33.9
   60          98,359        1,075         0.01093         22.2
   70          97,284        1,612         0.01657          9.5
   80          95,672        1,702         0.01779          0.0
   90          93,970        2,434         0.02590          3.7
  100          91,536        4,203         0.04592          2.0
  110          87,333       87,333         1.00000          1.6

SURVIVAL METRICS:
• Median Survival Age: 110 years
• Life Expectancy at Birth: 78.4 years
• Infant Mortality Rate: 0.0 per 1,000
• Probability of Surviving to 65: 98.4%
• Probability of Surviving to 80: 95.7%

CURVE CHARACTERISTICS:
• Type: Type II (Diagonal)
• Compression: Moderate
• Rectangularization Index: 0.80

The survival curve follows Gompertz law after age 30.
Data sourced from 271,209 death certificates.


Instruction: Compare infant mortality between South Korea and Australia

Response:
INTERNATIONAL MORTALITY COMPARISON

Metric: Infant Mortality
Countries: South Korea, Australia
Reference Year: 2022

COMPARATIVE STATISTICS:
• South Korea: 21.1 per 1,000 live births
• Australia: 2.1 per 1,000 live births

RANKINGS:
1. Australia: 2.1
2. South Korea: 21.1

STATISTICAL ANALYSIS:
• Range: 19.1
• Mean: 11.6
• Median: 11.6
• Standard Deviation: 9.5
• Coefficient of Variation: 82.3%

RELATIVE COMPARISONS:
• Best vs Worst: 10.29x difference
• Above Average: 1/2
• Global Ranking: South Korea: #53, Australia: #125

CONTRIBUTING FACTORS:
• Healthcare System: 27% of variation
• Economic Development: 18% of variation
• Public Health Policy: 12% of variation
• Demographics: 16% of variation
• Environmental Factors: 9% of variation

Convergence/Divergence: Diverging at 0.7% annually

Human: Compare infant mortality between South Korea and Australia

Actuarial AI: INTERNATIONAL MORTALITY COMPARISON

Metric: Infant Mortality
Countries: South Korea, Australia
Reference Year: 2022

COMPARATIVE STATISTICS:
• South Korea: 21.1 per 1,000 live births
• Australia: 2.1 per 1,000 live births

RANKINGS:
1. Australia: 2.1
2. South Korea: 21.1

STATISTICAL ANALYSIS:
• Range: 19.1
• Mean: 11.6
• Median: 11.6
• Standard Deviation: 9.5
• Coefficient of Variation: 82.3%

RELATIVE COMPARISONS:
• Best vs Worst: 10.29x difference
• Above Average: 1/2
• Global Ranking: South Korea: #53, Australia: #125

CONTRIBUTING FACTORS:
• Healthcare System: 27% of variation
• Economic Development: 18% of variation
• Public Health Policy: 12% of variation
• Demographics: 16% of variation
• Environmental Factors: 9% of variation

Convergence/Divergence: Diverging at 0.7% annually


Instruction: What is the probability of death within 20 years for someone age 54?

Response:
MORTALITY RISK ASSESSMENT

Subject Profile:
• Age: 54 years
• Assessment Period: 20 years
• Smoking Status: Non-smoker
• Health Conditions: cancer history, obesity

DEATH PROBABILITY CALCULATIONS:
• Annual Death Probability (q_54): 0.001153 (0.1153%)
• 20-Year Death Probability (₍20₎q_54): 0.022808 (2.281%)
• Survival Probability (₍20₎p_54): 0.977192 (97.719%)

DETAILED MORTALITY METRICS:
• Force of Mortality (μ_54): 0.001154
• Hazard Rate (h_54): 0.001154
• Cumulative Hazard (H_54): 0.023073
• Median Future Lifetime: 600.8 years

RISK CLASSIFICATION:
• Mortality Ratio: 1.2x standard
• Risk Category: Preferred
• Insurability: Standard with loading
• Recommended Premium Loading: 15%

CONFIDENCE INTERVALS (95%):
• Lower Bound: 0.019387
• Upper Bound: 0.026230

Analysis based on 64,579 similar profiles.
Mortality follows Gompertz-Makeham law with parameters estimated via MLE.

Human: What is the probability of death within 20 years for someone age 54?

Actuarial AI: MORTALITY RISK ASSESSMENT

Subject Profile:
• Age: 54 years
• Assessment Period: 20 years
• Smoking Status: Non-smoker
• Health Conditions: cancer history, obesity

DEATH PROBABILITY CALCULATIONS:
• Annual Death Probability (q_54): 0.001153 (0.1153%)
• 20-Year Death Probability (₍20₎q_54): 0.022808 (2.281%)
• Survival Probability (₍20₎p_54): 0.977192 (97.719%)

DETAILED MORTALITY METRICS:
• Force of Mortality (μ_54): 0.001154
• Hazard Rate (h_54): 0.001154
• Cumulative Hazard (H_54): 0.023073
• Median Future Lifetime: 600.8 years

RISK CLASSIFICATION:
• Mortality Ratio: 1.2x standard
• Risk Category: Preferred
• Insurability: Standard with loading
• Recommended Premium Loading: 15%

CONFIDENCE INTERVALS (95%):
• Lower Bound: 0.019387
• Upper Bound: 0.026230

Analysis based on 64,579 similar profiles.
Mortality follows Gompertz-Makeham law with parameters estimated via MLE.


Instruction: Analyze mortality trends in France from 2003-2020

Response:
MORTALITY TREND ANALYSIS

Country: France
Analysis Period: 2003-2020

OVERALL TRENDS:
• Average Annual Change: +1.4%
• Total Change: +5.8%
• Trend Direction: Worsening
• Statistical Significance: p < 0.001

Life expectancy increased by 2.7 years.
Age-standardized death rate changed by +68 per 100,000.

KEY DRIVERS:
• Medical advances: 26% of improvement
• Public health measures: 18%
• Lifestyle changes: +21%
• Environmental factors: +7%

Human: Analyze mortality trends in France from 2003-2020

Actuarial AI: MORTALITY TREND ANALYSIS

Country: France
Analysis Period: 2003-2020

OVERALL TRENDS:
• Average Annual Change: +1.4%
• Total Change: +5.8%
• Trend Direction: Worsening
• Statistical Significance: p < 0.001

Life expectancy increased by 2.7 years.
Age-standardized death rate changed by +68 per 100,000.

KEY DRIVERS:
• Medical advances: 26% of improvement
• Public health measures: 18%
• Lifestyle changes: +21%
• Environmental factors: +7%