Instruction: What is the mortality rate for Diabetes in Canada for 45-64 in 2020?

Response:
CAUSE-SPECIFIC MORTALITY ANALYSIS

Cause of Death: Diabetes
Location: Canada
Year: 2020
Age Group: 45-64

MORTALITY STATISTICS:
• Crude Death Rate: 30.7 per 100,000 population
• Age-Adjusted Rate: 29.1 per 100,000
• Total Deaths: 297,899
• Percentage of All Deaths: 11.0%

DEMOGRAPHIC BREAKDOWN:
• Male Death Rate: 36.9 per 100,000
• Female Death Rate: 26.1 per 100,000
• Sex Ratio (M:F): 1.41:1

TREND ANALYSIS:
• 5-Year Change: -8.8%
• 10-Year Change: +13.8%
• Annual Percentage Change: +1.1%
• Trend: Decreasing

COMPARATIVE METRICS:
• Rank Among Leading Causes: #11
• Years of Potential Life Lost (YPLL): 7738246
• Economic Burden: $69.0 billion annually
• Preventable Deaths: 47%

RISK FACTORS:
• Obesity: 60% attributable
• Physical inactivity: 30%
• Diet: 40%
• Genetics: 25%
• Age: Progressive

International Classification of Diseases (ICD-10): E10-E14
Data Quality: Near-Complete (90% coverage)

Human: What is the mortality rate for Diabetes in Canada for 45-64 in 2020?

Actuarial AI: CAUSE-SPECIFIC MORTALITY ANALYSIS

Cause of Death: Diabetes
Location: Canada
Year: 2020
Age Group: 45-64

MORTALITY STATISTICS:
• Crude Death Rate: 30.7 per 100,000 population
• Age-Adjusted Rate: 29.1 per 100,000
• Total Deaths: 297,899
• Percentage of All Deaths: 11.0%

DEMOGRAPHIC BREAKDOWN:
• Male Death Rate: 36.9 per 100,000
• Female Death Rate: 26.1 per 100,000
• Sex Ratio (M:F): 1.41:1

TREND ANALYSIS:
• 5-Year Change: -8.8%
• 10-Year Change: +13.8%
• Annual Percentage Change: +1.1%
• Trend: Decreasing

COMPARATIVE METRICS:
• Rank Among Leading Causes: #11
• Years of Potential Life Lost (YPLL): 7738246
• Economic Burden: $69.0 billion annually
• Preventable Deaths: 47%

RISK FACTORS:
• Obesity: 60% attributable
• Physical inactivity: 30%
• Diet: 40%
• Genetics: 25%
• Age: Progressive

International Classification of Diseases (ICD-10): E10-E14
Data Quality: Near-Complete (90% coverage)


Instruction: Analyze mortality impact of Ebola

Response:
PANDEMIC MORTALITY ANALYSIS

Pandemic: Ebola
Global Deaths: 11,692
Case Fatality Rate: 6.6%
Infection Fatality Rate: 0.67%

Age-specific mortality shows exponential increase with age.
Economic impact: $2.7 trillion globally.

Human: Analyze mortality impact of Ebola

Actuarial AI: PANDEMIC MORTALITY ANALYSIS

Pandemic: Ebola
Global Deaths: 11,692
Case Fatality Rate: 6.6%
Infection Fatality Rate: 0.67%

Age-specific mortality shows exponential increase with age.
Economic impact: $2.7 trillion globally.


Instruction: Perform mortality assumption review for life insurance portfolio

Response:
MORTALITY ASSUMPTION VALUATION

Product: Life Insurance Portfolio
Valuation Date: 12/31/2023

CURRENT ASSUMPTIONS:
• Base Table: RP-2014
• Improvement Scale: MP-2019
• Experience Adjustment: 96%

EXPERIENCE ANALYSIS:
• Actual/Expected Ratio: 0.93
• Credibility Factor: 0.88
• Indicated Change: -5.7%

FINANCIAL IMPACT:
• Reserve Change: $1.5 million
• Funded Ratio Impact: -0.9%

Recommendation: Update assumptions

Human: Perform mortality assumption review for life insurance portfolio

Actuarial AI: MORTALITY ASSUMPTION VALUATION

Product: Life Insurance Portfolio
Valuation Date: 12/31/2023

CURRENT ASSUMPTIONS:
• Base Table: RP-2014
• Improvement Scale: MP-2019
• Experience Adjustment: 96%

EXPERIENCE ANALYSIS:
• Actual/Expected Ratio: 0.93
• Credibility Factor: 0.88
• Indicated Change: -5.7%

FINANCIAL IMPACT:
• Reserve Change: $1.5 million
• Funded Ratio Impact: -0.9%

Recommendation: Update assumptions


Instruction: Calculate Variable Universal Life life insurance premium for 70 year old female, $250,000 coverage, Substandard rating

Response:
LIFE INSURANCE PREMIUM CALCULATION

Policy Details:
• Product Type: Variable Universal Life Life Insurance
• Face Amount: $250,000
• Duration: Lifetime Coverage
• Issue Age: 70
• Sex: Female
• Underwriting Class: Substandard

PREMIUM COMPUTATION:
• Base Mortality Rate (q_70): 0.006750
• Underwriting Multiplier: 1.5x
• Product Load Factor: 2.5x
• Expense Loading: 15% of gross premium
• Commission Load: 76% first year, 5% renewal

ANNUAL PREMIUM BREAKDOWN:
• Mortality Cost: $2531.43
• Expense Charge: $632.86
• Reserve Accumulation: $843.81
• Profit Margin: $210.95
• Gross Annual Premium: $4219.05

PAYMENT OPTIONS:
• Annual: $4219.05
• Semi-Annual: $2193.90 (x2 = $4387.81/year)
• Quarterly: $1118.05 (x4 = $4472.19/year)
• Monthly: $379.71 (x12 = $4556.57/year)

RESERVE CALCULATIONS:
• Net Level Premium: $3164.29
• First Year Reserve: $843.81
• Terminal Reserve (Year -5): $125804.52

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

Internal Rate of Return: 9.2%
Profit Margin: 8.1%
Lapse Assumption: 3.2% annual

Illustration assumes guaranteed rates. Actual results may vary.

Human: Calculate Variable Universal Life life insurance premium for 70 year old female, $250,000 coverage, Substandard rating

Actuarial AI: LIFE INSURANCE PREMIUM CALCULATION

Policy Details:
• Product Type: Variable Universal Life Life Insurance
• Face Amount: $250,000
• Duration: Lifetime Coverage
• Issue Age: 70
• Sex: Female
• Underwriting Class: Substandard

PREMIUM COMPUTATION:
• Base Mortality Rate (q_70): 0.006750
• Underwriting Multiplier: 1.5x
• Product Load Factor: 2.5x
• Expense Loading: 15% of gross premium
• Commission Load: 76% first year, 5% renewal

ANNUAL PREMIUM BREAKDOWN:
• Mortality Cost: $2531.43
• Expense Charge: $632.86
• Reserve Accumulation: $843.81
• Profit Margin: $210.95
• Gross Annual Premium: $4219.05

PAYMENT OPTIONS:
• Annual: $4219.05
• Semi-Annual: $2193.90 (x2 = $4387.81/year)
• Quarterly: $1118.05 (x4 = $4472.19/year)
• Monthly: $379.71 (x12 = $4556.57/year)

RESERVE CALCULATIONS:
• Net Level Premium: $3164.29
• First Year Reserve: $843.81
• Terminal Reserve (Year -5): $125804.52

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

Internal Rate of Return: 9.2%
Profit Margin: 8.1%
Lapse Assumption: 3.2% annual

Illustration assumes guaranteed rates. Actual results may vary.


Instruction: Calculate the present value of a life annuity for a 44 year old at 2.0% interest

Response:
LIFE ANNUITY VALUATION

Parameters:
• Age (x): 44
• Interest Rate (i): 2.04%
• Discount Factor (v): 0.979975
• Mortality Table: 2017 CSO

ANNUITY VALUES:
• Whole Life Annuity-Due (ä_44): 10.2779
• Whole Life Annuity-Immediate (a_44): 9.2779
• Temporary Annuity-Due (ä_44:20⌉): 10.2779
• Deferred Annuity (₁₀|ä_44): 6.9296

COMMUTATION FUNCTIONS:
• D_44 = v^44 × l_44: 2402.92
• N_44 = Σ D_k (k≥44): 17690.11
• S_44 = Σ N_k (k≥44): 435327.82

CALCULATION:
ä_44 = N_44 / D_44 = 10.2779

MONTHLY CONVERSION:
• Annual Annuity: $10000.00
• Monthly Payment: $837.17
• Conversion Factor (12): 11.888

Present Value of $1,000/month for life: $10181648.69

Human: Calculate the present value of a life annuity for a 44 year old at 2.0% interest

Actuarial AI: LIFE ANNUITY VALUATION

Parameters:
• Age (x): 44
• Interest Rate (i): 2.04%
• Discount Factor (v): 0.979975
• Mortality Table: 2017 CSO

ANNUITY VALUES:
• Whole Life Annuity-Due (ä_44): 10.2779
• Whole Life Annuity-Immediate (a_44): 9.2779
• Temporary Annuity-Due (ä_44:20⌉): 10.2779
• Deferred Annuity (₁₀|ä_44): 6.9296

COMMUTATION FUNCTIONS:
• D_44 = v^44 × l_44: 2402.92
• N_44 = Σ D_k (k≥44): 17690.11
• S_44 = Σ N_k (k≥44): 435327.82

CALCULATION:
ä_44 = N_44 / D_44 = 10.2779

MONTHLY CONVERSION:
• Annual Annuity: $10000.00
• Monthly Payment: $837.17
• Conversion Factor (12): 11.888

Present Value of $1,000/month for life: $10181648.69


Instruction: Calculate Whole Life life insurance premium for 41 year old male, $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: 41
• Sex: Male
• Underwriting Class: Preferred

PREMIUM COMPUTATION:
• Base Mortality Rate (q_41): 0.001737
• Underwriting Multiplier: 0.75x
• Product Load Factor: 3.5x
• Expense Loading: 15% of gross premium
• Commission Load: 71% first year, 5% renewal

ANNUAL PREMIUM BREAKDOWN:
• Mortality Cost: $3647.41
• Expense Charge: $911.85
• Reserve Accumulation: $1215.80
• Profit Margin: $303.95
• Gross Annual Premium: $6079.02

PAYMENT OPTIONS:
• Annual: $6079.02
• Semi-Annual: $3161.09 (x2 = $6322.18/year)
• Quarterly: $1610.94 (x4 = $6443.76/year)
• Monthly: $547.11 (x12 = $6565.34/year)

RESERVE CALCULATIONS:
• Net Level Premium: $4559.26
• First Year Reserve: $1215.80
• Terminal Reserve (Year 24): $659926.01

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

Internal Rate of Return: 8.2%
Profit Margin: 10.4%
Lapse Assumption: 3.6% annual

Illustration assumes guaranteed rates. Actual results may vary.

Human: Calculate Whole Life life insurance premium for 41 year old male, $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: 41
• Sex: Male
• Underwriting Class: Preferred

PREMIUM COMPUTATION:
• Base Mortality Rate (q_41): 0.001737
• Underwriting Multiplier: 0.75x
• Product Load Factor: 3.5x
• Expense Loading: 15% of gross premium
• Commission Load: 71% first year, 5% renewal

ANNUAL PREMIUM BREAKDOWN:
• Mortality Cost: $3647.41
• Expense Charge: $911.85
• Reserve Accumulation: $1215.80
• Profit Margin: $303.95
• Gross Annual Premium: $6079.02

PAYMENT OPTIONS:
• Annual: $6079.02
• Semi-Annual: $3161.09 (x2 = $6322.18/year)
• Quarterly: $1610.94 (x4 = $6443.76/year)
• Monthly: $547.11 (x12 = $6565.34/year)

RESERVE CALCULATIONS:
• Net Level Premium: $4559.26
• First Year Reserve: $1215.80
• Terminal Reserve (Year 24): $659926.01

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

Internal Rate of Return: 8.2%
Profit Margin: 10.4%
Lapse Assumption: 3.6% annual

Illustration assumes guaranteed rates. Actual results may vary.


Instruction: Calculate Variable Universal Life life insurance premium for 63 year old female, $1,000,000 coverage, Preferred rating

Response:
LIFE INSURANCE PREMIUM CALCULATION

Policy Details:
• Product Type: Variable Universal Life Life Insurance
• Face Amount: $1,000,000
• Duration: Lifetime Coverage
• Issue Age: 63
• Sex: Female
• Underwriting Class: Preferred

PREMIUM COMPUTATION:
• Base Mortality Rate (q_63): 0.002673
• Underwriting Multiplier: 0.75x
• Product Load Factor: 2.5x
• Expense Loading: 15% of gross premium
• Commission Load: 69% first year, 5% renewal

ANNUAL PREMIUM BREAKDOWN:
• Mortality Cost: $4009.22
• Expense Charge: $1002.31
• Reserve Accumulation: $1336.41
• Profit Margin: $334.10
• Gross Annual Premium: $6682.04

PAYMENT OPTIONS:
• Annual: $6682.04
• Semi-Annual: $3474.66 (x2 = $6949.32/year)
• Quarterly: $1770.74 (x4 = $7082.96/year)
• Monthly: $601.38 (x12 = $7216.60/year)

RESERVE CALCULATIONS:
• Net Level Premium: $5011.53
• First Year Reserve: $1336.41
• Terminal Reserve (Year 2): $333902.48

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

Internal Rate of Return: 8.8%
Profit Margin: 14.5%
Lapse Assumption: 7.2% annual

Illustration assumes guaranteed rates. Actual results may vary.

Human: Calculate Variable Universal Life life insurance premium for 63 year old female, $1,000,000 coverage, Preferred rating

Actuarial AI: LIFE INSURANCE PREMIUM CALCULATION

Policy Details:
• Product Type: Variable Universal Life Life Insurance
• Face Amount: $1,000,000
• Duration: Lifetime Coverage
• Issue Age: 63
• Sex: Female
• Underwriting Class: Preferred

PREMIUM COMPUTATION:
• Base Mortality Rate (q_63): 0.002673
• Underwriting Multiplier: 0.75x
• Product Load Factor: 2.5x
• Expense Loading: 15% of gross premium
• Commission Load: 69% first year, 5% renewal

ANNUAL PREMIUM BREAKDOWN:
• Mortality Cost: $4009.22
• Expense Charge: $1002.31
• Reserve Accumulation: $1336.41
• Profit Margin: $334.10
• Gross Annual Premium: $6682.04

PAYMENT OPTIONS:
• Annual: $6682.04
• Semi-Annual: $3474.66 (x2 = $6949.32/year)
• Quarterly: $1770.74 (x4 = $7082.96/year)
• Monthly: $601.38 (x12 = $7216.60/year)

RESERVE CALCULATIONS:
• Net Level Premium: $5011.53
• First Year Reserve: $1336.41
• Terminal Reserve (Year 2): $333902.48

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

Internal Rate of Return: 8.8%
Profit Margin: 14.5%
Lapse Assumption: 7.2% annual

Illustration assumes guaranteed rates. Actual results may vary.


Instruction: Calculate Variable Universal Life life insurance premium for 48 year old male, $500,000 coverage, Substandard rating

Response:
LIFE INSURANCE PREMIUM CALCULATION

Policy Details:
• Product Type: Variable Universal Life Life Insurance
• Face Amount: $500,000
• Duration: Lifetime Coverage
• Issue Age: 48
• Sex: Male
• Underwriting Class: Substandard

PREMIUM COMPUTATION:
• Base Mortality Rate (q_48): 0.004387
• Underwriting Multiplier: 1.5x
• Product Load Factor: 2.5x
• Expense Loading: 15% of gross premium
• Commission Load: 89% first year, 5% renewal

ANNUAL PREMIUM BREAKDOWN:
• Mortality Cost: $3289.97
• Expense Charge: $822.49
• Reserve Accumulation: $1096.66
• Profit Margin: $274.16
• Gross Annual Premium: $5483.28

PAYMENT OPTIONS:
• Annual: $5483.28
• Semi-Annual: $2851.31 (x2 = $5702.61/year)
• Quarterly: $1453.07 (x4 = $5812.28/year)
• Monthly: $493.50 (x12 = $5921.95/year)

RESERVE CALCULATIONS:
• Net Level Premium: $4112.46
• First Year Reserve: $1096.66
• Terminal Reserve (Year 17): $301106.32

MORTALITY ASSUMPTIONS:
• Mortality Table: 2017 CSO Male
• Improvement Scale: MP-2020
• Select Period: 25 years
• Ultimate Mortality: CSO Male Ultimate

Internal Rate of Return: 11.7%
Profit Margin: 8.9%
Lapse Assumption: 4.3% annual

Illustration assumes guaranteed rates. Actual results may vary.

Human: Calculate Variable Universal Life life insurance premium for 48 year old male, $500,000 coverage, Substandard rating

Actuarial AI: LIFE INSURANCE PREMIUM CALCULATION

Policy Details:
• Product Type: Variable Universal Life Life Insurance
• Face Amount: $500,000
• Duration: Lifetime Coverage
• Issue Age: 48
• Sex: Male
• Underwriting Class: Substandard

PREMIUM COMPUTATION:
• Base Mortality Rate (q_48): 0.004387
• Underwriting Multiplier: 1.5x
• Product Load Factor: 2.5x
• Expense Loading: 15% of gross premium
• Commission Load: 89% first year, 5% renewal

ANNUAL PREMIUM BREAKDOWN:
• Mortality Cost: $3289.97
• Expense Charge: $822.49
• Reserve Accumulation: $1096.66
• Profit Margin: $274.16
• Gross Annual Premium: $5483.28

PAYMENT OPTIONS:
• Annual: $5483.28
• Semi-Annual: $2851.31 (x2 = $5702.61/year)
• Quarterly: $1453.07 (x4 = $5812.28/year)
• Monthly: $493.50 (x12 = $5921.95/year)

RESERVE CALCULATIONS:
• Net Level Premium: $4112.46
• First Year Reserve: $1096.66
• Terminal Reserve (Year 17): $301106.32

MORTALITY ASSUMPTIONS:
• Mortality Table: 2017 CSO Male
• Improvement Scale: MP-2020
• Select Period: 25 years
• Ultimate Mortality: CSO Male Ultimate

Internal Rate of Return: 11.7%
Profit Margin: 8.9%
Lapse Assumption: 4.3% annual

Illustration assumes guaranteed rates. Actual results may vary.


Instruction: What is the probability of death within 10 years for someone age 94?

Response:
MORTALITY RISK ASSESSMENT

Subject Profile:
• Age: 94 years
• Assessment Period: 10 years
• Smoking Status: Non-smoker
• Health Conditions: hypertension, obesity, heart disease

DEATH PROBABILITY CALCULATIONS:
• Annual Death Probability (q_94): 0.006183 (0.6183%)
• 10-Year Death Probability (₍10₎q_94): 0.060142 (6.014%)
• Survival Probability (₍10₎p_94): 0.939858 (93.986%)

DETAILED MORTALITY METRICS:
• Force of Mortality (μ_94): 0.006203
• Hazard Rate (h_94): 0.006203
• Cumulative Hazard (H_94): 0.062026
• Median Future Lifetime: 111.8 years

RISK CLASSIFICATION:
• Mortality Ratio: 6.2x standard
• Risk Category: Standard
• Insurability: Substandard with exclusions
• Recommended Premium Loading: 518%

CONFIDENCE INTERVALS (95%):
• Lower Bound: 0.051121
• Upper Bound: 0.069163

Analysis based on 122,335 similar profiles.
Mortality follows Gompertz-Makeham law with parameters estimated via MLE.

Human: What is the probability of death within 10 years for someone age 94?

Actuarial AI: MORTALITY RISK ASSESSMENT

Subject Profile:
• Age: 94 years
• Assessment Period: 10 years
• Smoking Status: Non-smoker
• Health Conditions: hypertension, obesity, heart disease

DEATH PROBABILITY CALCULATIONS:
• Annual Death Probability (q_94): 0.006183 (0.6183%)
• 10-Year Death Probability (₍10₎q_94): 0.060142 (6.014%)
• Survival Probability (₍10₎p_94): 0.939858 (93.986%)

DETAILED MORTALITY METRICS:
• Force of Mortality (μ_94): 0.006203
• Hazard Rate (h_94): 0.006203
• Cumulative Hazard (H_94): 0.062026
• Median Future Lifetime: 111.8 years

RISK CLASSIFICATION:
• Mortality Ratio: 6.2x standard
• Risk Category: Standard
• Insurability: Substandard with exclusions
• Recommended Premium Loading: 518%

CONFIDENCE INTERVALS (95%):
• Lower Bound: 0.051121
• Upper Bound: 0.069163

Analysis based on 122,335 similar profiles.
Mortality follows Gompertz-Makeham law with parameters estimated via MLE.


Instruction: Analyze mortality patterns for 1976 birth cohort

Response:
BIRTH COHORT MORTALITY ANALYSIS

Birth Cohort: 1976
Current Age: 48 years
Cohort Size at Birth: 2,818,791

COHORT CHARACTERISTICS:
• Life Expectancy at Birth: 68.0 years
• Current Life Expectancy: 88.4 years
• Survival to Current Age: 86.5%

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

MORTALITY PATTERN:
• Peak Infant Mortality: 44.0 per 1,000
• Current Mortality Rate: 13.6 per 1,000
• Improvement Since Birth: 64%

Cohort effects explain 29% of mortality variation.

Human: Analyze mortality patterns for 1976 birth cohort

Actuarial AI: BIRTH COHORT MORTALITY ANALYSIS

Birth Cohort: 1976
Current Age: 48 years
Cohort Size at Birth: 2,818,791

COHORT CHARACTERISTICS:
• Life Expectancy at Birth: 68.0 years
• Current Life Expectancy: 88.4 years
• Survival to Current Age: 86.5%

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

MORTALITY PATTERN:
• Peak Infant Mortality: 44.0 per 1,000
• Current Mortality Rate: 13.6 per 1,000
• Improvement Since Birth: 64%

Cohort effects explain 29% of mortality variation.


Instruction: Calculate policy reserve for 60 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: 50
• Current Age: 60
• Policy Year: 10
• Valuation Method: Net Level Premium (NLP)

RESERVE COMPONENTS:
• Net Level Premium (P): $941.05
• Present Value Future Benefits (PVFB): $57870.79
• Present Value Future Premiums (PVFP): $21895.45

TERMINAL RESERVE (₁₀V):
• Formula: ₁₀V = PVFB - PVFP
• Calculation: $11781.60
• Per $1,000 Face: $117.82

PROSPECTIVE METHOD:
• A₁_60:10⌉ = 0.2310
• ä_60:10⌉ = 9.3370
• ₁₀V = 100,000 × A₁ - P × ä = $11781.60

RETROSPECTIVE METHOD:
• Accumulated Premiums: $9655.94
• Accumulated Cost of Insurance: $5181.21
• Interest Earned: $1951.94
• ₁₀V = $11781.60

STATUTORY REQUIREMENTS:
• Minimum Reserve (CRVM): $11192.52
• Tax Reserve: $10839.08
• GAAP Reserve: $12370.68

Human: Calculate policy reserve for 60 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: 50
• Current Age: 60
• Policy Year: 10
• Valuation Method: Net Level Premium (NLP)

RESERVE COMPONENTS:
• Net Level Premium (P): $941.05
• Present Value Future Benefits (PVFB): $57870.79
• Present Value Future Premiums (PVFP): $21895.45

TERMINAL RESERVE (₁₀V):
• Formula: ₁₀V = PVFB - PVFP
• Calculation: $11781.60
• Per $1,000 Face: $117.82

PROSPECTIVE METHOD:
• A₁_60:10⌉ = 0.2310
• ä_60:10⌉ = 9.3370
• ₁₀V = 100,000 × A₁ - P × ä = $11781.60

RETROSPECTIVE METHOD:
• Accumulated Premiums: $9655.94
• Accumulated Cost of Insurance: $5181.21
• Interest Earned: $1951.94
• ₁₀V = $11781.60

STATUTORY REQUIREMENTS:
• Minimum Reserve (CRVM): $11192.52
• Tax Reserve: $10839.08
• GAAP Reserve: $12370.68


Instruction: Analyze mortality trends in UK from 2002-2020

Response:
MORTALITY TREND ANALYSIS

Country: UK
Analysis Period: 2002-2020

OVERALL TRENDS:
• Average Annual Change: +1.8%
• Total Change: -17.1%
• Trend Direction: Improving
• Statistical Significance: p < 0.001

Life expectancy increased by 2.9 years.
Age-standardized death rate changed by -126 per 100,000.

KEY DRIVERS:
• Medical advances: 39% of improvement
• Public health measures: 24%
• Lifestyle changes: +15%
• Environmental factors: -7%

Human: Analyze mortality trends in UK from 2002-2020

Actuarial AI: MORTALITY TREND ANALYSIS

Country: UK
Analysis Period: 2002-2020

OVERALL TRENDS:
• Average Annual Change: +1.8%
• Total Change: -17.1%
• Trend Direction: Improving
• Statistical Significance: p < 0.001

Life expectancy increased by 2.9 years.
Age-standardized death rate changed by -126 per 100,000.

KEY DRIVERS:
• Medical advances: 39% of improvement
• Public health measures: 24%
• Lifestyle changes: +15%
• Environmental factors: -7%


Instruction: Analyze mortality impact of COVID-19

Response:
PANDEMIC MORTALITY ANALYSIS

Pandemic: COVID-19
Global Deaths: 6,190,618
Case Fatality Rate: 3.7%
Infection Fatality Rate: 0.91%

Age-specific mortality shows exponential increase with age.
Economic impact: $3.2 trillion globally.

Human: Analyze mortality impact of COVID-19

Actuarial AI: PANDEMIC MORTALITY ANALYSIS

Pandemic: COVID-19
Global Deaths: 6,190,618
Case Fatality Rate: 3.7%
Infection Fatality Rate: 0.91%

Age-specific mortality shows exponential increase with age.
Economic impact: $3.2 trillion globally.


Instruction: Project mortality rates for Germany in 2037

Response:
MORTALITY PROJECTION

Country: Germany
Target Year: 2037
Projection Method: Lee-Carter Model with Coherent Forecasting

PROJECTED METRICS:
• Crude Death Rate: 799.8 per 100,000
• Life Expectancy: 81.6 years
• Annual Improvement: 1.33%

CONFIDENCE INTERVALS (95%):
• Lower: 679.9
• Upper: 919.8

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

Human: Project mortality rates for Germany in 2037

Actuarial AI: MORTALITY PROJECTION

Country: Germany
Target Year: 2037
Projection Method: Lee-Carter Model with Coherent Forecasting

PROJECTED METRICS:
• Crude Death Rate: 799.8 per 100,000
• Life Expectancy: 81.6 years
• Annual Improvement: 1.33%

CONFIDENCE INTERVALS (95%):
• Lower: 679.9
• Upper: 919.8

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


Instruction: What is the mortality rate for Cancer in Canada for 65-74 in 2020?

Response:
CAUSE-SPECIFIC MORTALITY ANALYSIS

Cause of Death: Cancer
Location: Canada
Year: 2020
Age Group: 65-74

MORTALITY STATISTICS:
• Crude Death Rate: 137.6 per 100,000 population
• Age-Adjusted Rate: 128.3 per 100,000
• Total Deaths: 6,165,128
• Percentage of All Deaths: 16.8%

DEMOGRAPHIC BREAKDOWN:
• Male Death Rate: 165.1 per 100,000
• Female Death Rate: 117.0 per 100,000
• Sex Ratio (M:F): 1.20:1

TREND ANALYSIS:
• 5-Year Change: +6.7%
• 10-Year Change: +10.4%
• Annual Percentage Change: +2.2%
• Trend: Increasing

COMPARATIVE METRICS:
• Rank Among Leading Causes: #3
• Years of Potential Life Lost (YPLL): 125496537
• Economic Burden: $61.2 billion annually
• Preventable Deaths: 33%

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 (88% coverage)

Human: What is the mortality rate for Cancer in Canada for 65-74 in 2020?

Actuarial AI: CAUSE-SPECIFIC MORTALITY ANALYSIS

Cause of Death: Cancer
Location: Canada
Year: 2020
Age Group: 65-74

MORTALITY STATISTICS:
• Crude Death Rate: 137.6 per 100,000 population
• Age-Adjusted Rate: 128.3 per 100,000
• Total Deaths: 6,165,128
• Percentage of All Deaths: 16.8%

DEMOGRAPHIC BREAKDOWN:
• Male Death Rate: 165.1 per 100,000
• Female Death Rate: 117.0 per 100,000
• Sex Ratio (M:F): 1.20:1

TREND ANALYSIS:
• 5-Year Change: +6.7%
• 10-Year Change: +10.4%
• Annual Percentage Change: +2.2%
• Trend: Increasing

COMPARATIVE METRICS:
• Rank Among Leading Causes: #3
• Years of Potential Life Lost (YPLL): 125496537
• Economic Burden: $61.2 billion annually
• Preventable Deaths: 33%

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 (88% coverage)


Instruction: Compare rural vs other area mortality rates in Canada

Response:
GEOGRAPHIC MORTALITY ANALYSIS

Country: Canada
Focus: Rural Areas

MORTALITY RATES (per 100,000):
• Urban: 739.8
• Rural: 884.8
• Suburban: 737.5

Rural areas show 19.6% higher mortality.
Primary factors: healthcare access, emergency response times, demographics.

Human: Compare rural vs other area mortality rates in Canada

Actuarial AI: GEOGRAPHIC MORTALITY ANALYSIS

Country: Canada
Focus: Rural Areas

MORTALITY RATES (per 100,000):
• Urban: 739.8
• Rural: 884.8
• Suburban: 737.5

Rural areas show 19.6% higher mortality.
Primary factors: healthcare access, emergency response times, demographics.


Instruction: Analyze mortality patterns for 1921 birth cohort

Response:
BIRTH COHORT MORTALITY ANALYSIS

Birth Cohort: 1921
Current Age: 103 years
Cohort Size at Birth: 3,442,222

COHORT CHARACTERISTICS:
• Life Expectancy at Birth: 74.8 years
• Current Life Expectancy: 79.3 years
• Survival to Current Age: 81.5%

HISTORICAL EXPOSURES:
• Great Depression impact

MORTALITY PATTERN:
• Peak Infant Mortality: 20.7 per 1,000
• Current Mortality Rate: 7.1 per 1,000
• Improvement Since Birth: 42%

Cohort effects explain 11% of mortality variation.

Human: Analyze mortality patterns for 1921 birth cohort

Actuarial AI: BIRTH COHORT MORTALITY ANALYSIS

Birth Cohort: 1921
Current Age: 103 years
Cohort Size at Birth: 3,442,222

COHORT CHARACTERISTICS:
• Life Expectancy at Birth: 74.8 years
• Current Life Expectancy: 79.3 years
• Survival to Current Age: 81.5%

HISTORICAL EXPOSURES:
• Great Depression impact

MORTALITY PATTERN:
• Peak Infant Mortality: 20.7 per 1,000
• Current Mortality Rate: 7.1 per 1,000
• Improvement Since Birth: 42%

Cohort effects explain 11% of mortality variation.


Instruction: Calculate Whole Life life insurance premium for 39 year old female, $250,000 coverage, Preferred rating

Response:
LIFE INSURANCE PREMIUM CALCULATION

Policy Details:
• Product Type: Whole Life Life Insurance
• Face Amount: $250,000
• Duration: Lifetime Coverage
• Issue Age: 39
• Sex: Female
• Underwriting Class: Preferred

PREMIUM COMPUTATION:
• Base Mortality Rate (q_39): 0.001201
• Underwriting Multiplier: 0.75x
• Product Load Factor: 3.5x
• Expense Loading: 15% of gross premium
• Commission Load: 66% first year, 5% renewal

ANNUAL PREMIUM BREAKDOWN:
• Mortality Cost: $630.51
• Expense Charge: $157.63
• Reserve Accumulation: $210.17
• Profit Margin: $52.54
• Gross Annual Premium: $1050.85

PAYMENT OPTIONS:
• Annual: $1050.85
• Semi-Annual: $546.44 (x2 = $1092.89/year)
• Quarterly: $278.48 (x4 = $1113.90/year)
• Monthly: $94.58 (x12 = $1134.92/year)

RESERVE CALCULATIONS:
• Net Level Premium: $788.14
• First Year Reserve: $210.17
• Terminal Reserve (Year 26): $96738.71

MORTALITY ASSUMPTIONS:
• Mortality Table: 2017 CSO Female
• Improvement Scale: MP-2020
• Select Period: 25 years
• Ultimate Mortality: CSO Female Ultimate

Internal Rate of Return: 10.2%
Profit Margin: 14.9%
Lapse Assumption: 6.8% annual

Illustration assumes guaranteed rates. Actual results may vary.

Human: Calculate Whole Life life insurance premium for 39 year old female, $250,000 coverage, Preferred rating

Actuarial AI: LIFE INSURANCE PREMIUM CALCULATION

Policy Details:
• Product Type: Whole Life Life Insurance
• Face Amount: $250,000
• Duration: Lifetime Coverage
• Issue Age: 39
• Sex: Female
• Underwriting Class: Preferred

PREMIUM COMPUTATION:
• Base Mortality Rate (q_39): 0.001201
• Underwriting Multiplier: 0.75x
• Product Load Factor: 3.5x
• Expense Loading: 15% of gross premium
• Commission Load: 66% first year, 5% renewal

ANNUAL PREMIUM BREAKDOWN:
• Mortality Cost: $630.51
• Expense Charge: $157.63
• Reserve Accumulation: $210.17
• Profit Margin: $52.54
• Gross Annual Premium: $1050.85

PAYMENT OPTIONS:
• Annual: $1050.85
• Semi-Annual: $546.44 (x2 = $1092.89/year)
• Quarterly: $278.48 (x4 = $1113.90/year)
• Monthly: $94.58 (x12 = $1134.92/year)

RESERVE CALCULATIONS:
• Net Level Premium: $788.14
• First Year Reserve: $210.17
• Terminal Reserve (Year 26): $96738.71

MORTALITY ASSUMPTIONS:
• Mortality Table: 2017 CSO Female
• Improvement Scale: MP-2020
• Select Period: 25 years
• Ultimate Mortality: CSO Female Ultimate

Internal Rate of Return: 10.2%
Profit Margin: 14.9%
Lapse Assumption: 6.8% annual

Illustration assumes guaranteed rates. Actual results may vary.


Instruction: Calculate excess mortality during opioid crisis in Germany for Q3 2021

Response:
EXCESS MORTALITY ANALYSIS

Event: opioid crisis
Location: Germany
Period: Q3 2021

MORTALITY METRICS:
• Expected Deaths (Baseline): 48,183
• Observed Deaths: 57,663
• Excess Deaths: 9,480
• Excess Mortality Rate: 19.7%
• P-score: 19.7%
• Z-score: 3.41 (p < 0.001)

BASELINE CALCULATION:
• Method: 5-year average
• Reference Period: 2015-2019
• Seasonal Adjustment: Applied
• Trend Adjustment: 2.6% annual

AGE-SPECIFIC EXCESS:
• 0-44 years: 2.1% (948 deaths)
• 45-64 years: 14.3% (2,370 deaths)
• 65-74 years: 25.6% (2,370 deaths)
• 75+ years: 26.0% (3,792 deaths)

CAUSE ATTRIBUTION:
• Direct (confirmed): 7,568 (76%)
• Indirect (probable): 2,231 (19%)
• Collateral (delayed care): 1,458 (20%)

STATISTICAL SIGNIFICANCE:
• 95% CI: [8,058, 10,902]
• Probability of chance: < 0.001
• Power: 0.97

Years of Life Lost: 122676
Economic Impact: $4.5 billion
Quality-Adjusted Life Years Lost: 89478

Human: Calculate excess mortality during opioid crisis in Germany for Q3 2021

Actuarial AI: EXCESS MORTALITY ANALYSIS

Event: opioid crisis
Location: Germany
Period: Q3 2021

MORTALITY METRICS:
• Expected Deaths (Baseline): 48,183
• Observed Deaths: 57,663
• Excess Deaths: 9,480
• Excess Mortality Rate: 19.7%
• P-score: 19.7%
• Z-score: 3.41 (p < 0.001)

BASELINE CALCULATION:
• Method: 5-year average
• Reference Period: 2015-2019
• Seasonal Adjustment: Applied
• Trend Adjustment: 2.6% annual

AGE-SPECIFIC EXCESS:
• 0-44 years: 2.1% (948 deaths)
• 45-64 years: 14.3% (2,370 deaths)
• 65-74 years: 25.6% (2,370 deaths)
• 75+ years: 26.0% (3,792 deaths)

CAUSE ATTRIBUTION:
• Direct (confirmed): 7,568 (76%)
• Indirect (probable): 2,231 (19%)
• Collateral (delayed care): 1,458 (20%)

STATISTICAL SIGNIFICANCE:
• 95% CI: [8,058, 10,902]
• Probability of chance: < 0.001
• Power: 0.97

Years of Life Lost: 122676
Economic Impact: $4.5 billion
Quality-Adjusted Life Years Lost: 89478


Instruction: Calculate Term life insurance premium for 53 year old female, $750,000 coverage, 10 year term, Preferred Plus rating

Response:
LIFE INSURANCE PREMIUM CALCULATION

Policy Details:
• Product Type: Term Life Insurance
• Face Amount: $750,000
• Term Length: 10 years
• Issue Age: 53
• Sex: Female
• Underwriting Class: Preferred Plus

PREMIUM COMPUTATION:
• Base Mortality Rate (q_53): 0.001532
• Underwriting Multiplier: 0.6x
• Product Load Factor: 1.0x
• Expense Loading: 15% of gross premium
• Commission Load: 57% first year, 5% renewal

ANNUAL PREMIUM BREAKDOWN:
• Mortality Cost: $689.46
• Expense Charge: $172.36
• Reserve Accumulation: $229.82
• Profit Margin: $57.45
• Gross Annual Premium: $1149.09

PAYMENT OPTIONS:
• Annual: $1149.09
• Semi-Annual: $597.53 (x2 = $1195.06/year)
• Quarterly: $304.51 (x4 = $1218.04/year)
• Monthly: $103.42 (x12 = $1241.02/year)

RESERVE CALCULATIONS:
• Net Level Premium: $861.82
• First Year Reserve: $229.82
• Terminal Reserve (Year 10): $239942.52

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

Internal Rate of Return: 10.3%
Profit Margin: 14.7%
Lapse Assumption: 5.6% annual

Illustration assumes guaranteed rates. Actual results may vary.

Human: Calculate Term life insurance premium for 53 year old female, $750,000 coverage, 10 year term, Preferred Plus rating

Actuarial AI: LIFE INSURANCE PREMIUM CALCULATION

Policy Details:
• Product Type: Term Life Insurance
• Face Amount: $750,000
• Term Length: 10 years
• Issue Age: 53
• Sex: Female
• Underwriting Class: Preferred Plus

PREMIUM COMPUTATION:
• Base Mortality Rate (q_53): 0.001532
• Underwriting Multiplier: 0.6x
• Product Load Factor: 1.0x
• Expense Loading: 15% of gross premium
• Commission Load: 57% first year, 5% renewal

ANNUAL PREMIUM BREAKDOWN:
• Mortality Cost: $689.46
• Expense Charge: $172.36
• Reserve Accumulation: $229.82
• Profit Margin: $57.45
• Gross Annual Premium: $1149.09

PAYMENT OPTIONS:
• Annual: $1149.09
• Semi-Annual: $597.53 (x2 = $1195.06/year)
• Quarterly: $304.51 (x4 = $1218.04/year)
• Monthly: $103.42 (x12 = $1241.02/year)

RESERVE CALCULATIONS:
• Net Level Premium: $861.82
• First Year Reserve: $229.82
• Terminal Reserve (Year 10): $239942.52

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

Internal Rate of Return: 10.3%
Profit Margin: 14.7%
Lapse Assumption: 5.6% annual

Illustration assumes guaranteed rates. Actual results may vary.


Instruction: Calculate excess mortality during 2021 cold snap in UK for Q2 2021

Response:
EXCESS MORTALITY ANALYSIS

Event: 2021 cold snap
Location: UK
Period: Q2 2021

MORTALITY METRICS:
• Expected Deaths (Baseline): 15,309
• Observed Deaths: 17,366
• Excess Deaths: 2,057
• Excess Mortality Rate: 13.4%
• P-score: 13.4%
• Z-score: 4.92 (p < 0.001)

BASELINE CALCULATION:
• Method: 5-year average
• Reference Period: 2015-2019
• Seasonal Adjustment: Applied
• Trend Adjustment: 2.9% annual

AGE-SPECIFIC EXCESS:
• 0-44 years: 1.3% (205 deaths)
• 45-64 years: 16.2% (514 deaths)
• 65-74 years: 14.7% (514 deaths)
• 75+ years: 15.5% (822 deaths)

CAUSE ATTRIBUTION:
• Direct (confirmed): 1,061 (73%)
• Indirect (probable): 534 (24%)
• Collateral (delayed care): 247 (16%)

STATISTICAL SIGNIFICANCE:
• 95% CI: [1,748, 2,365]
• Probability of chance: < 0.001
• Power: 0.96

Years of Life Lost: 26161
Economic Impact: $7.4 billion
Quality-Adjusted Life Years Lost: 20487

Human: Calculate excess mortality during 2021 cold snap in UK for Q2 2021

Actuarial AI: EXCESS MORTALITY ANALYSIS

Event: 2021 cold snap
Location: UK
Period: Q2 2021

MORTALITY METRICS:
• Expected Deaths (Baseline): 15,309
• Observed Deaths: 17,366
• Excess Deaths: 2,057
• Excess Mortality Rate: 13.4%
• P-score: 13.4%
• Z-score: 4.92 (p < 0.001)

BASELINE CALCULATION:
• Method: 5-year average
• Reference Period: 2015-2019
• Seasonal Adjustment: Applied
• Trend Adjustment: 2.9% annual

AGE-SPECIFIC EXCESS:
• 0-44 years: 1.3% (205 deaths)
• 45-64 years: 16.2% (514 deaths)
• 65-74 years: 14.7% (514 deaths)
• 75+ years: 15.5% (822 deaths)

CAUSE ATTRIBUTION:
• Direct (confirmed): 1,061 (73%)
• Indirect (probable): 534 (24%)
• Collateral (delayed care): 247 (16%)

STATISTICAL SIGNIFICANCE:
• 95% CI: [1,748, 2,365]
• Probability of chance: < 0.001
• Power: 0.96

Years of Life Lost: 26161
Economic Impact: $7.4 billion
Quality-Adjusted Life Years Lost: 20487


Instruction: Project mortality rates for Germany in 2034

Response:
MORTALITY PROJECTION

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

PROJECTED METRICS:
• Crude Death Rate: 701.1 per 100,000
• Life Expectancy: 83.7 years
• Annual Improvement: 1.05%

CONFIDENCE INTERVALS (95%):
• Lower: 595.9
• Upper: 806.2

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

Human: Project mortality rates for Germany in 2034

Actuarial AI: MORTALITY PROJECTION

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

PROJECTED METRICS:
• Crude Death Rate: 701.1 per 100,000
• Life Expectancy: 83.7 years
• Annual Improvement: 1.05%

CONFIDENCE INTERVALS (95%):
• Lower: 595.9
• Upper: 806.2

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


Instruction: What is the life expectancy for a 12 year old male in Germany as of 2024?

Response:
ACTUARIAL ANALYSIS: Life Expectancy Calculation

Demographics:
• Location: Germany
• Age: 12 years
• Sex: Male
• Reference Year: 2024

LIFE EXPECTANCY METRICS:
• Life Expectancy at Age 12 (e_12): 64.1 years
• Expected Age at Death: 76.1 years
• Median Survival Time: 44.4 years
• Modal Age at Death: 71.1 years

SURVIVAL PROBABILITIES:
• 5-Year Survival (₅p_12): 92.6%
• 10-Year Survival (₁₀p_12): 85.8%
• 20-Year Survival (₂₀p_12): 73.5%

MORTALITY METRICS:
• Force of Mortality (μ_12): 0.01536
• Probability of Death within 1 Year (q_12): 0.01525
• Hazard Rate: 0.01548

COMPARATIVE CONTEXT:
• Global Average at Age 12: 69.2 years
• Regional Rank: Top 28 globally
• Historical Trend: Improving

Based on 413,046 death records and actuarial projections.
Each year survived reduces remaining uncertainty by 4.3%.

Human: What is the life expectancy for a 12 year old male in Germany as of 2024?

Actuarial AI: ACTUARIAL ANALYSIS: Life Expectancy Calculation

Demographics:
• Location: Germany
• Age: 12 years
• Sex: Male
• Reference Year: 2024

LIFE EXPECTANCY METRICS:
• Life Expectancy at Age 12 (e_12): 64.1 years
• Expected Age at Death: 76.1 years
• Median Survival Time: 44.4 years
• Modal Age at Death: 71.1 years

SURVIVAL PROBABILITIES:
• 5-Year Survival (₅p_12): 92.6%
• 10-Year Survival (₁₀p_12): 85.8%
• 20-Year Survival (₂₀p_12): 73.5%

MORTALITY METRICS:
• Force of Mortality (μ_12): 0.01536
• Probability of Death within 1 Year (q_12): 0.01525
• Hazard Rate: 0.01548

COMPARATIVE CONTEXT:
• Global Average at Age 12: 69.2 years
• Regional Rank: Top 28 globally
• Historical Trend: Improving

Based on 413,046 death records and actuarial projections.
Each year survived reduces remaining uncertainty by 4.3%.


Instruction: What is the life expectancy for a 96 year old male in UK as of 2020?

Response:
ACTUARIAL ANALYSIS: Life Expectancy Calculation

Demographics:
• Location: UK
• Age: 96 years
• Sex: Male
• Reference Year: 2020

LIFE EXPECTANCY METRICS:
• Life Expectancy at Age 96 (e_96): -3.8 years
• Expected Age at Death: 92.2 years
• Median Survival Time: -2.7 years
• Modal Age at Death: 87.2 years

SURVIVAL PROBABILITIES:
• 5-Year Survival (₅p_96): 100.0%
• 10-Year Survival (₁₀p_96): 100.0%
• 20-Year Survival (₂₀p_96): 100.0%

MORTALITY METRICS:
• Force of Mortality (μ_96): -0.35157
• Probability of Death within 1 Year (q_96): -0.42130
• Hazard Rate: -0.30127

COMPARATIVE CONTEXT:
• Global Average at Age 96: -14.7 years
• Regional Rank: Top 8 globally
• Historical Trend: Improving

Based on 494,500 death records and actuarial projections.
Each year survived reduces remaining uncertainty by 2.8%.

Human: What is the life expectancy for a 96 year old male in UK as of 2020?

Actuarial AI: ACTUARIAL ANALYSIS: Life Expectancy Calculation

Demographics:
• Location: UK
• Age: 96 years
• Sex: Male
• Reference Year: 2020

LIFE EXPECTANCY METRICS:
• Life Expectancy at Age 96 (e_96): -3.8 years
• Expected Age at Death: 92.2 years
• Median Survival Time: -2.7 years
• Modal Age at Death: 87.2 years

SURVIVAL PROBABILITIES:
• 5-Year Survival (₅p_96): 100.0%
• 10-Year Survival (₁₀p_96): 100.0%
• 20-Year Survival (₂₀p_96): 100.0%

MORTALITY METRICS:
• Force of Mortality (μ_96): -0.35157
• Probability of Death within 1 Year (q_96): -0.42130
• Hazard Rate: -0.30127

COMPARATIVE CONTEXT:
• Global Average at Age 96: -14.7 years
• Regional Rank: Top 8 globally
• Historical Trend: Improving

Based on 494,500 death records and actuarial projections.
Each year survived reduces remaining uncertainty by 2.8%.


Instruction: Calculate policy reserve for 47 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: 37
• Current Age: 47
• Policy Year: 10
• Valuation Method: Net Level Premium (NLP)

RESERVE COMPONENTS:
• Net Level Premium (P): $655.29
• Present Value Future Benefits (PVFB): $59607.54
• Present Value Future Premiums (PVFP): $36124.83

TERMINAL RESERVE (₁₀V):
• Formula: ₁₀V = PVFB - PVFP
• Calculation: $25478.36
• Per $1,000 Face: $254.78

PROSPECTIVE METHOD:
• A₁_47:10⌉ = 0.1514
• ä_47:10⌉ = 8.8795
• ₁₀V = 100,000 × A₁ - P × ä = $25478.36

RETROSPECTIVE METHOD:
• Accumulated Premiums: $10934.04
• Accumulated Cost of Insurance: $3460.78
• Interest Earned: $1949.59
• ₁₀V = $25478.36

STATUTORY REQUIREMENTS:
• Minimum Reserve (CRVM): $24204.44
• Tax Reserve: $23440.09
• GAAP Reserve: $26752.28

Human: Calculate policy reserve for 47 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: 37
• Current Age: 47
• Policy Year: 10
• Valuation Method: Net Level Premium (NLP)

RESERVE COMPONENTS:
• Net Level Premium (P): $655.29
• Present Value Future Benefits (PVFB): $59607.54
• Present Value Future Premiums (PVFP): $36124.83

TERMINAL RESERVE (₁₀V):
• Formula: ₁₀V = PVFB - PVFP
• Calculation: $25478.36
• Per $1,000 Face: $254.78

PROSPECTIVE METHOD:
• A₁_47:10⌉ = 0.1514
• ä_47:10⌉ = 8.8795
• ₁₀V = 100,000 × A₁ - P × ä = $25478.36

RETROSPECTIVE METHOD:
• Accumulated Premiums: $10934.04
• Accumulated Cost of Insurance: $3460.78
• Interest Earned: $1949.59
• ₁₀V = $25478.36

STATUTORY REQUIREMENTS:
• Minimum Reserve (CRVM): $24204.44
• Tax Reserve: $23440.09
• GAAP Reserve: $26752.28


Instruction: What is the life expectancy for a 86 year old female in China as of 2021?

Response:
ACTUARIAL ANALYSIS: Life Expectancy Calculation

Demographics:
• Location: China
• Age: 86 years
• Sex: Female
• Reference Year: 2021

LIFE EXPECTANCY METRICS:
• Life Expectancy at Age 86 (e_86): 5.0 years
• Expected Age at Death: 91.0 years
• Median Survival Time: 3.4 years
• Modal Age at Death: 86.0 years

SURVIVAL PROBABILITIES:
• 5-Year Survival (₅p_86): 43.3%
• 10-Year Survival (₁₀p_86): 18.7%
• 20-Year Survival (₂₀p_86): 3.5%

MORTALITY METRICS:
• Force of Mortality (μ_86): 0.16761
• Probability of Death within 1 Year (q_86): 0.15432
• Hazard Rate: 0.18345

COMPARATIVE CONTEXT:
• Global Average at Age 86: -9.1 years
• Regional Rank: Top 44 globally
• Historical Trend: Stable

Based on 333,564 death records and actuarial projections.
Each year survived reduces remaining uncertainty by 3.0%.

Human: What is the life expectancy for a 86 year old female in China as of 2021?

Actuarial AI: ACTUARIAL ANALYSIS: Life Expectancy Calculation

Demographics:
• Location: China
• Age: 86 years
• Sex: Female
• Reference Year: 2021

LIFE EXPECTANCY METRICS:
• Life Expectancy at Age 86 (e_86): 5.0 years
• Expected Age at Death: 91.0 years
• Median Survival Time: 3.4 years
• Modal Age at Death: 86.0 years

SURVIVAL PROBABILITIES:
• 5-Year Survival (₅p_86): 43.3%
• 10-Year Survival (₁₀p_86): 18.7%
• 20-Year Survival (₂₀p_86): 3.5%

MORTALITY METRICS:
• Force of Mortality (μ_86): 0.16761
• Probability of Death within 1 Year (q_86): 0.15432
• Hazard Rate: 0.18345

COMPARATIVE CONTEXT:
• Global Average at Age 86: -9.1 years
• Regional Rank: Top 44 globally
• Historical Trend: Stable

Based on 333,564 death records and actuarial projections.
Each year survived reduces remaining uncertainty by 3.0%.


Instruction: Show survival curve for Canada female in 2018

Response:
SURVIVAL CURVE ANALYSIS

Population: Canada Female
Reference Year: 2018
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            2         0.00002         79.7
    1          99,998            9         0.00009         74.0
    5          99,989           23         0.00023         79.2
   10          99,966           50         0.00050         66.8
   20          99,916          126         0.00126         63.6
   30          99,790          150         0.00150         50.7
   40          99,640          238         0.00239         36.1
   50          99,402          519         0.00522         31.7
   60          98,883          719         0.00727         18.6
   70          98,164          925         0.00942         11.5
   80          97,239        1,290         0.01327          4.4
   90          95,949        1,648         0.01718          3.3
  100          94,301        2,581         0.02737          3.2
  110          91,720       91,720         1.00000          3.7

SURVIVAL METRICS:
• Median Survival Age: 110 years
• Life Expectancy at Birth: 84.5 years
• Infant Mortality Rate: 0.0 per 1,000
• Probability of Surviving to 65: 98.9%
• Probability of Surviving to 80: 97.2%

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

The survival curve follows Gompertz law after age 30.
Data sourced from 192,479 death certificates.

Human: Show survival curve for Canada female in 2018

Actuarial AI: SURVIVAL CURVE ANALYSIS

Population: Canada Female
Reference Year: 2018
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            2         0.00002         79.7
    1          99,998            9         0.00009         74.0
    5          99,989           23         0.00023         79.2
   10          99,966           50         0.00050         66.8
   20          99,916          126         0.00126         63.6
   30          99,790          150         0.00150         50.7
   40          99,640          238         0.00239         36.1
   50          99,402          519         0.00522         31.7
   60          98,883          719         0.00727         18.6
   70          98,164          925         0.00942         11.5
   80          97,239        1,290         0.01327          4.4
   90          95,949        1,648         0.01718          3.3
  100          94,301        2,581         0.02737          3.2
  110          91,720       91,720         1.00000          3.7

SURVIVAL METRICS:
• Median Survival Age: 110 years
• Life Expectancy at Birth: 84.5 years
• Infant Mortality Rate: 0.0 per 1,000
• Probability of Surviving to 65: 98.9%
• Probability of Surviving to 80: 97.2%

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

The survival curve follows Gompertz law after age 30.
Data sourced from 192,479 death certificates.


Instruction: What is the mortality rate for Hypertension in Germany in 2020?

Response:
CAUSE-SPECIFIC MORTALITY ANALYSIS

Cause of Death: Hypertension
Location: Germany
Year: 2020
Age Group: All ages

MORTALITY STATISTICS:
• Crude Death Rate: 7.9 per 100,000 population
• Age-Adjusted Rate: 7.2 per 100,000
• Total Deaths: 347,472
• Percentage of All Deaths: 21.7%

DEMOGRAPHIC BREAKDOWN:
• Male Death Rate: 9.5 per 100,000
• Female Death Rate: 6.7 per 100,000
• Sex Ratio (M:F): 1.26:1

TREND ANALYSIS:
• 5-Year Change: -10.1%
• 10-Year Change: +12.0%
• Annual Percentage Change: -1.4%
• Trend: Decreasing

COMPARATIVE METRICS:
• Rank Among Leading Causes: #3
• Years of Potential Life Lost (YPLL): 8129668
• Economic Burden: $14.1 billion annually
• Preventable Deaths: 26%

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

International Classification of Diseases (ICD-10): I10-I15
Data Quality: Near-Complete (97% coverage)

Human: What is the mortality rate for Hypertension in Germany in 2020?

Actuarial AI: CAUSE-SPECIFIC MORTALITY ANALYSIS

Cause of Death: Hypertension
Location: Germany
Year: 2020
Age Group: All ages

MORTALITY STATISTICS:
• Crude Death Rate: 7.9 per 100,000 population
• Age-Adjusted Rate: 7.2 per 100,000
• Total Deaths: 347,472
• Percentage of All Deaths: 21.7%

DEMOGRAPHIC BREAKDOWN:
• Male Death Rate: 9.5 per 100,000
• Female Death Rate: 6.7 per 100,000
• Sex Ratio (M:F): 1.26:1

TREND ANALYSIS:
• 5-Year Change: -10.1%
• 10-Year Change: +12.0%
• Annual Percentage Change: -1.4%
• Trend: Decreasing

COMPARATIVE METRICS:
• Rank Among Leading Causes: #3
• Years of Potential Life Lost (YPLL): 8129668
• Economic Burden: $14.1 billion annually
• Preventable Deaths: 26%

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

International Classification of Diseases (ICD-10): I10-I15
Data Quality: Near-Complete (97% coverage)


Instruction: What are the mortality characteristics for child population?

Response:
AGE-SPECIFIC MORTALITY ANALYSIS

Age Group: Child (1-12 years)

MORTALITY METRICS:
• Death Rate: 18.56 per 1,000
• Leading Causes: Accidents, cancer, congenital conditions
• Preventable Deaths: 45%

Life table analysis shows stable risk profile.

Human: What are the mortality characteristics for child population?

Actuarial AI: AGE-SPECIFIC MORTALITY ANALYSIS

Age Group: Child (1-12 years)

MORTALITY METRICS:
• Death Rate: 18.56 per 1,000
• Leading Causes: Accidents, cancer, congenital conditions
• Preventable Deaths: 45%

Life table analysis shows stable risk profile.


Instruction: Calculate Universal Life life insurance premium for 63 year old male, $2,000,000 coverage, Standard Plus rating

Response:
LIFE INSURANCE PREMIUM CALCULATION

Policy Details:
• Product Type: Universal Life Life Insurance
• Face Amount: $2,000,000
• Duration: Lifetime Coverage
• Issue Age: 63
• Sex: Male
• Underwriting Class: Standard Plus

PREMIUM COMPUTATION:
• Base Mortality Rate (q_63): 0.004339
• Underwriting Multiplier: 0.9x
• Product Load Factor: 2.8x
• Expense Loading: 15% of gross premium
• Commission Load: 58% first year, 5% renewal

ANNUAL PREMIUM BREAKDOWN:
• Mortality Cost: $14580.36
• Expense Charge: $3645.09
• Reserve Accumulation: $4860.12
• Profit Margin: $1215.03
• Gross Annual Premium: $24300.61

PAYMENT OPTIONS:
• Annual: $24300.61
• Semi-Annual: $12636.32 (x2 = $25272.63/year)
• Quarterly: $6439.66 (x4 = $25758.64/year)
• Monthly: $2187.05 (x12 = $26244.66/year)

RESERVE CALCULATIONS:
• Net Level Premium: $18225.46
• First Year Reserve: $4860.12
• Terminal Reserve (Year 2): $675905.32

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

Internal Rate of Return: 9.1%
Profit Margin: 9.8%
Lapse Assumption: 6.5% annual

Illustration assumes guaranteed rates. Actual results may vary.

Human: Calculate Universal Life life insurance premium for 63 year old male, $2,000,000 coverage, Standard Plus rating

Actuarial AI: LIFE INSURANCE PREMIUM CALCULATION

Policy Details:
• Product Type: Universal Life Life Insurance
• Face Amount: $2,000,000
• Duration: Lifetime Coverage
• Issue Age: 63
• Sex: Male
• Underwriting Class: Standard Plus

PREMIUM COMPUTATION:
• Base Mortality Rate (q_63): 0.004339
• Underwriting Multiplier: 0.9x
• Product Load Factor: 2.8x
• Expense Loading: 15% of gross premium
• Commission Load: 58% first year, 5% renewal

ANNUAL PREMIUM BREAKDOWN:
• Mortality Cost: $14580.36
• Expense Charge: $3645.09
• Reserve Accumulation: $4860.12
• Profit Margin: $1215.03
• Gross Annual Premium: $24300.61

PAYMENT OPTIONS:
• Annual: $24300.61
• Semi-Annual: $12636.32 (x2 = $25272.63/year)
• Quarterly: $6439.66 (x4 = $25758.64/year)
• Monthly: $2187.05 (x12 = $26244.66/year)

RESERVE CALCULATIONS:
• Net Level Premium: $18225.46
• First Year Reserve: $4860.12
• Terminal Reserve (Year 2): $675905.32

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

Internal Rate of Return: 9.1%
Profit Margin: 9.8%
Lapse Assumption: 6.5% annual

Illustration assumes guaranteed rates. Actual results may vary.


Instruction: Compare maternal mortality between China, USA and Italy

Response:
INTERNATIONAL MORTALITY COMPARISON

Metric: Maternal Mortality
Countries: China, USA, Italy
Reference Year: 2021

COMPARATIVE STATISTICS:
• China: 9.3 per 100,000 live births
• USA: 36.3 per 100,000 live births
• Italy: 21.4 per 100,000 live births

RANKINGS:
1. China: 9.3
2. Italy: 21.4
3. USA: 36.3

STATISTICAL ANALYSIS:
• Range: 27.0
• Mean: 22.4
• Median: 21.4
• Standard Deviation: 11.0
• Coefficient of Variation: 49.4%

RELATIVE COMPARISONS:
• Best vs Worst: 3.90x difference
• Above Average: 1/3
• Global Ranking: China: #106, USA: #54, Italy: #77

CONTRIBUTING FACTORS:
• Healthcare System: 37% of variation
• Economic Development: 35% of variation
• Public Health Policy: 17% of variation
• Demographics: 15% of variation
• Environmental Factors: 14% of variation

Convergence/Divergence: Converging at 1.6% annually

Human: Compare maternal mortality between China, USA and Italy

Actuarial AI: INTERNATIONAL MORTALITY COMPARISON

Metric: Maternal Mortality
Countries: China, USA, Italy
Reference Year: 2021

COMPARATIVE STATISTICS:
• China: 9.3 per 100,000 live births
• USA: 36.3 per 100,000 live births
• Italy: 21.4 per 100,000 live births

RANKINGS:
1. China: 9.3
2. Italy: 21.4
3. USA: 36.3

STATISTICAL ANALYSIS:
• Range: 27.0
• Mean: 22.4
• Median: 21.4
• Standard Deviation: 11.0
• Coefficient of Variation: 49.4%

RELATIVE COMPARISONS:
• Best vs Worst: 3.90x difference
• Above Average: 1/3
• Global Ranking: China: #106, USA: #54, Italy: #77

CONTRIBUTING FACTORS:
• Healthcare System: 37% of variation
• Economic Development: 35% of variation
• Public Health Policy: 17% of variation
• Demographics: 15% of variation
• Environmental Factors: 14% of variation

Convergence/Divergence: Converging at 1.6% annually


Instruction: Calculate the 1-year death probability for a 22 year oldsmoker

Response:
MORTALITY RISK ASSESSMENT

Subject Profile:
• Age: 22 years
• Assessment Period: 1 year
• Smoking Status: Smoker (2.5x mortality multiplier)
• Health Conditions: None reported

DEATH PROBABILITY CALCULATIONS:
• Annual Death Probability (q_22): 0.000469 (0.0469%)
• 1-Year Death Probability (₍1₎q_22): 0.000469 (0.047%)
• Survival Probability (₍1₎p_22): 0.999531 (99.953%)

DETAILED MORTALITY METRICS:
• Force of Mortality (μ_22): 0.000469
• Hazard Rate (h_22): 0.000469
• Cumulative Hazard (H_22): 0.000469
• Median Future Lifetime: 1478.4 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: 0.000398
• Upper Bound: 0.000539

Analysis based on 148,279 similar profiles.
Mortality follows Gompertz-Makeham law with parameters estimated via MLE.

Human: Calculate the 1-year death probability for a 22 year oldsmoker

Actuarial AI: MORTALITY RISK ASSESSMENT

Subject Profile:
• Age: 22 years
• Assessment Period: 1 year
• Smoking Status: Smoker (2.5x mortality multiplier)
• Health Conditions: None reported

DEATH PROBABILITY CALCULATIONS:
• Annual Death Probability (q_22): 0.000469 (0.0469%)
• 1-Year Death Probability (₍1₎q_22): 0.000469 (0.047%)
• Survival Probability (₍1₎p_22): 0.999531 (99.953%)

DETAILED MORTALITY METRICS:
• Force of Mortality (μ_22): 0.000469
• Hazard Rate (h_22): 0.000469
• Cumulative Hazard (H_22): 0.000469
• Median Future Lifetime: 1478.4 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: 0.000398
• Upper Bound: 0.000539

Analysis based on 148,279 similar profiles.
Mortality follows Gompertz-Makeham law with parameters estimated via MLE.


Instruction: What are the mortality characteristics for child population?

Response:
AGE-SPECIFIC MORTALITY ANALYSIS

Age Group: Child (1-12 years)

MORTALITY METRICS:
• Death Rate: 9.04 per 1,000
• Leading Causes: Accidents, cancer, congenital conditions
• Preventable Deaths: 47%

Life table analysis shows stable risk profile.

Human: What are the mortality characteristics for child population?

Actuarial AI: AGE-SPECIFIC MORTALITY ANALYSIS

Age Group: Child (1-12 years)

MORTALITY METRICS:
• Death Rate: 9.04 per 1,000
• Leading Causes: Accidents, cancer, congenital conditions
• Preventable Deaths: 47%

Life table analysis shows stable risk profile.


Instruction: Summarize pension mortality experience study results

Response:
MORTALITY EXPERIENCE STUDY

Study Type: Pension Insurance
Study Period: 2020-2023
Exposure: 865619 life-years

ACTUAL vs EXPECTED:
• Overall A/E Ratio: 1.12
• Deaths Actual: 5,542
• Deaths Expected: 5,629

BY DURATION:
• Select Period (Years 1-5): 0.72
• Ultimate (Years 6+): 1.05

Statistical confidence: 95% CI [0.93, 1.08]

Human: Summarize pension mortality experience study results

Actuarial AI: MORTALITY EXPERIENCE STUDY

Study Type: Pension Insurance
Study Period: 2020-2023
Exposure: 865619 life-years

ACTUAL vs EXPECTED:
• Overall A/E Ratio: 1.12
• Deaths Actual: 5,542
• Deaths Expected: 5,629

BY DURATION:
• Select Period (Years 1-5): 0.72
• Ultimate (Years 6+): 1.05

Statistical confidence: 95% CI [0.93, 1.08]


Instruction: Calculate policy reserve for 53 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: 43
• Current Age: 53
• Policy Year: 10
• Valuation Method: Net Level Premium (NLP)

RESERVE COMPONENTS:
• Net Level Premium (P): $524.13
• Present Value Future Benefits (PVFB): $56496.96
• Present Value Future Premiums (PVFP): $36984.49

TERMINAL RESERVE (₁₀V):
• Formula: ₁₀V = PVFB - PVFP
• Calculation: $32141.97
• Per $1,000 Face: $321.42

PROSPECTIVE METHOD:
• A₁_53:10⌉ = 0.2374
• ä_53:10⌉ = 8.2675
• ₁₀V = 100,000 × A₁ - P × ä = $32141.97

RETROSPECTIVE METHOD:
• Accumulated Premiums: $10960.72
• Accumulated Cost of Insurance: $5708.44
• Interest Earned: $1815.67
• ₁₀V = $32141.97

STATUTORY REQUIREMENTS:
• Minimum Reserve (CRVM): $30534.87
• Tax Reserve: $29570.61
• GAAP Reserve: $33749.07

Human: Calculate policy reserve for 53 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: 43
• Current Age: 53
• Policy Year: 10
• Valuation Method: Net Level Premium (NLP)

RESERVE COMPONENTS:
• Net Level Premium (P): $524.13
• Present Value Future Benefits (PVFB): $56496.96
• Present Value Future Premiums (PVFP): $36984.49

TERMINAL RESERVE (₁₀V):
• Formula: ₁₀V = PVFB - PVFP
• Calculation: $32141.97
• Per $1,000 Face: $321.42

PROSPECTIVE METHOD:
• A₁_53:10⌉ = 0.2374
• ä_53:10⌉ = 8.2675
• ₁₀V = 100,000 × A₁ - P × ä = $32141.97

RETROSPECTIVE METHOD:
• Accumulated Premiums: $10960.72
• Accumulated Cost of Insurance: $5708.44
• Interest Earned: $1815.67
• ₁₀V = $32141.97

STATUTORY REQUIREMENTS:
• Minimum Reserve (CRVM): $30534.87
• Tax Reserve: $29570.61
• GAAP Reserve: $33749.07


Instruction: Calculate Variable Universal Life life insurance premium for 64 year old male, $5,000,000 coverage, Substandard rating

Response:
LIFE INSURANCE PREMIUM CALCULATION

Policy Details:
• Product Type: Variable Universal Life Life Insurance
• Face Amount: $5,000,000
• Duration: Lifetime Coverage
• Issue Age: 64
• Sex: Male
• Underwriting Class: Substandard

PREMIUM COMPUTATION:
• Base Mortality Rate (q_64): 0.007477
• Underwriting Multiplier: 1.5x
• Product Load Factor: 2.5x
• Expense Loading: 15% of gross premium
• Commission Load: 91% first year, 5% renewal

ANNUAL PREMIUM BREAKDOWN:
• Mortality Cost: $56080.98
• Expense Charge: $14020.25
• Reserve Accumulation: $18693.66
• Profit Margin: $4673.42
• Gross Annual Premium: $93468.30

PAYMENT OPTIONS:
• Annual: $93468.30
• Semi-Annual: $48603.52 (x2 = $97207.03/year)
• Quarterly: $24769.10 (x4 = $99076.40/year)
• Monthly: $8412.15 (x12 = $100945.77/year)

RESERVE CALCULATIONS:
• Net Level Premium: $70101.23
• First Year Reserve: $18693.66
• Terminal Reserve (Year 1): $2859796.03

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

Internal Rate of Return: 9.6%
Profit Margin: 8.3%
Lapse Assumption: 7.3% annual

Illustration assumes guaranteed rates. Actual results may vary.

Human: Calculate Variable Universal Life life insurance premium for 64 year old male, $5,000,000 coverage, Substandard rating

Actuarial AI: LIFE INSURANCE PREMIUM CALCULATION

Policy Details:
• Product Type: Variable Universal Life Life Insurance
• Face Amount: $5,000,000
• Duration: Lifetime Coverage
• Issue Age: 64
• Sex: Male
• Underwriting Class: Substandard

PREMIUM COMPUTATION:
• Base Mortality Rate (q_64): 0.007477
• Underwriting Multiplier: 1.5x
• Product Load Factor: 2.5x
• Expense Loading: 15% of gross premium
• Commission Load: 91% first year, 5% renewal

ANNUAL PREMIUM BREAKDOWN:
• Mortality Cost: $56080.98
• Expense Charge: $14020.25
• Reserve Accumulation: $18693.66
• Profit Margin: $4673.42
• Gross Annual Premium: $93468.30

PAYMENT OPTIONS:
• Annual: $93468.30
• Semi-Annual: $48603.52 (x2 = $97207.03/year)
• Quarterly: $24769.10 (x4 = $99076.40/year)
• Monthly: $8412.15 (x12 = $100945.77/year)

RESERVE CALCULATIONS:
• Net Level Premium: $70101.23
• First Year Reserve: $18693.66
• Terminal Reserve (Year 1): $2859796.03

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

Internal Rate of Return: 9.6%
Profit Margin: 8.3%
Lapse Assumption: 7.3% annual

Illustration assumes guaranteed rates. Actual results may vary.


Instruction: Calculate the 1-year death probability for a 74 year old with diabetes, obesity

Response:
MORTALITY RISK ASSESSMENT

Subject Profile:
• Age: 74 years
• Assessment Period: 1 year
• Smoking Status: Non-smoker
• Health Conditions: diabetes, obesity

DEATH PROBABILITY CALCULATIONS:
• Annual Death Probability (q_74): 0.002908 (0.2908%)
• 1-Year Death Probability (₍1₎q_74): 0.002908 (0.291%)
• Survival Probability (₍1₎p_74): 0.997092 (99.709%)

DETAILED MORTALITY METRICS:
• Force of Mortality (μ_74): 0.002912
• Hazard Rate (h_74): 0.002912
• Cumulative Hazard (H_74): 0.002912
• Median Future Lifetime: 238.1 years

RISK CLASSIFICATION:
• Mortality Ratio: 2.9x standard
• Risk Category: Standard Plus
• Insurability: Standard with loading
• Recommended Premium Loading: 191%

CONFIDENCE INTERVALS (95%):
• Lower Bound: 0.002471
• Upper Bound: 0.003344

Analysis based on 61,401 similar profiles.
Mortality follows Gompertz-Makeham law with parameters estimated via MLE.

Human: Calculate the 1-year death probability for a 74 year old with diabetes, obesity

Actuarial AI: MORTALITY RISK ASSESSMENT

Subject Profile:
• Age: 74 years
• Assessment Period: 1 year
• Smoking Status: Non-smoker
• Health Conditions: diabetes, obesity

DEATH PROBABILITY CALCULATIONS:
• Annual Death Probability (q_74): 0.002908 (0.2908%)
• 1-Year Death Probability (₍1₎q_74): 0.002908 (0.291%)
• Survival Probability (₍1₎p_74): 0.997092 (99.709%)

DETAILED MORTALITY METRICS:
• Force of Mortality (μ_74): 0.002912
• Hazard Rate (h_74): 0.002912
• Cumulative Hazard (H_74): 0.002912
• Median Future Lifetime: 238.1 years

RISK CLASSIFICATION:
• Mortality Ratio: 2.9x standard
• Risk Category: Standard Plus
• Insurability: Standard with loading
• Recommended Premium Loading: 191%

CONFIDENCE INTERVALS (95%):
• Lower Bound: 0.002471
• Upper Bound: 0.003344

Analysis based on 61,401 similar profiles.
Mortality follows Gompertz-Makeham law with parameters estimated via MLE.


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

Response:
OCCUPATIONAL MORTALITY ANALYSIS

Industry: Mining
Fatal Injury Rate: 111.9 per 100,000 full-time workers
Annual Deaths: 7,225

LEADING CAUSES:
• Falls: 28%
• Struck by object: 23%
• Electrocution: 13%
• Caught-in/between: 16%

Workers' compensation death benefit: $436,723

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

Actuarial AI: OCCUPATIONAL MORTALITY ANALYSIS

Industry: Mining
Fatal Injury Rate: 111.9 per 100,000 full-time workers
Annual Deaths: 7,225

LEADING CAUSES:
• Falls: 28%
• Struck by object: 23%
• Electrocution: 13%
• Caught-in/between: 16%

Workers' compensation death benefit: $436,723


Instruction: Calculate policy reserve for 33 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: 23
• Current Age: 33
• Policy Year: 10
• Valuation Method: Net Level Premium (NLP)

RESERVE COMPONENTS:
• Net Level Premium (P): $936.15
• Present Value Future Benefits (PVFB): $48830.45
• Present Value Future Premiums (PVFP): $20606.39

TERMINAL RESERVE (₁₀V):
• Formula: ₁₀V = PVFB - PVFP
• Calculation: $14204.12
• Per $1,000 Face: $142.04

PROSPECTIVE METHOD:
• A₁_33:10⌉ = 0.2152
• ä_33:10⌉ = 9.2291
• ₁₀V = 100,000 × A₁ - P × ä = $14204.12

RETROSPECTIVE METHOD:
• Accumulated Premiums: $11812.14
• Accumulated Cost of Insurance: $4421.19
• Interest Earned: $1497.81
• ₁₀V = $14204.12

STATUTORY REQUIREMENTS:
• Minimum Reserve (CRVM): $13493.91
• Tax Reserve: $13067.79
• GAAP Reserve: $14914.33

Human: Calculate policy reserve for 33 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: 23
• Current Age: 33
• Policy Year: 10
• Valuation Method: Net Level Premium (NLP)

RESERVE COMPONENTS:
• Net Level Premium (P): $936.15
• Present Value Future Benefits (PVFB): $48830.45
• Present Value Future Premiums (PVFP): $20606.39

TERMINAL RESERVE (₁₀V):
• Formula: ₁₀V = PVFB - PVFP
• Calculation: $14204.12
• Per $1,000 Face: $142.04

PROSPECTIVE METHOD:
• A₁_33:10⌉ = 0.2152
• ä_33:10⌉ = 9.2291
• ₁₀V = 100,000 × A₁ - P × ä = $14204.12

RETROSPECTIVE METHOD:
• Accumulated Premiums: $11812.14
• Accumulated Cost of Insurance: $4421.19
• Interest Earned: $1497.81
• ₁₀V = $14204.12

STATUTORY REQUIREMENTS:
• Minimum Reserve (CRVM): $13493.91
• Tax Reserve: $13067.79
• GAAP Reserve: $14914.33


Instruction: Calculate policy reserve for 51 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: 41
• Current Age: 51
• Policy Year: 10
• Valuation Method: Net Level Premium (NLP)

RESERVE COMPONENTS:
• Net Level Premium (P): $920.10
• Present Value Future Benefits (PVFB): $57323.00
• Present Value Future Premiums (PVFP): $28531.02

TERMINAL RESERVE (₁₀V):
• Formula: ₁₀V = PVFB - PVFP
• Calculation: $25145.05
• Per $1,000 Face: $251.45

PROSPECTIVE METHOD:
• A₁_51:10⌉ = 0.2323
• ä_51:10⌉ = 8.8779
• ₁₀V = 100,000 × A₁ - P × ä = $25145.05

RETROSPECTIVE METHOD:
• Accumulated Premiums: $9536.97
• Accumulated Cost of Insurance: $4754.59
• Interest Earned: $1453.71
• ₁₀V = $25145.05

STATUTORY REQUIREMENTS:
• Minimum Reserve (CRVM): $23887.79
• Tax Reserve: $23133.44
• GAAP Reserve: $26402.30

Human: Calculate policy reserve for 51 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: 41
• Current Age: 51
• Policy Year: 10
• Valuation Method: Net Level Premium (NLP)

RESERVE COMPONENTS:
• Net Level Premium (P): $920.10
• Present Value Future Benefits (PVFB): $57323.00
• Present Value Future Premiums (PVFP): $28531.02

TERMINAL RESERVE (₁₀V):
• Formula: ₁₀V = PVFB - PVFP
• Calculation: $25145.05
• Per $1,000 Face: $251.45

PROSPECTIVE METHOD:
• A₁_51:10⌉ = 0.2323
• ä_51:10⌉ = 8.8779
• ₁₀V = 100,000 × A₁ - P × ä = $25145.05

RETROSPECTIVE METHOD:
• Accumulated Premiums: $9536.97
• Accumulated Cost of Insurance: $4754.59
• Interest Earned: $1453.71
• ₁₀V = $25145.05

STATUTORY REQUIREMENTS:
• Minimum Reserve (CRVM): $23887.79
• Tax Reserve: $23133.44
• GAAP Reserve: $26402.30


Instruction: Calculate Variable Universal Life life insurance premium for 65 year old male, $500,000 coverage, Standard Plus rating

Response:
LIFE INSURANCE PREMIUM CALCULATION

Policy Details:
• Product Type: Variable Universal Life Life Insurance
• Face Amount: $500,000
• Duration: Lifetime Coverage
• Issue Age: 65
• Sex: Male
• Underwriting Class: Standard Plus

PREMIUM COMPUTATION:
• Base Mortality Rate (q_65): 0.004639
• Underwriting Multiplier: 0.9x
• Product Load Factor: 2.5x
• Expense Loading: 15% of gross premium
• Commission Load: 82% first year, 5% renewal

ANNUAL PREMIUM BREAKDOWN:
• Mortality Cost: $3478.91
• Expense Charge: $869.73
• Reserve Accumulation: $1159.64
• Profit Margin: $289.91
• Gross Annual Premium: $5798.19

PAYMENT OPTIONS:
• Annual: $5798.19
• Semi-Annual: $3015.06 (x2 = $6030.11/year)
• Quarterly: $1536.52 (x4 = $6146.08/year)
• Monthly: $521.84 (x12 = $6262.04/year)

RESERVE CALCULATIONS:
• Net Level Premium: $4348.64
• First Year Reserve: $1159.64
• Terminal Reserve (Year 0): $330707.87

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

Internal Rate of Return: 10.8%
Profit Margin: 12.3%
Lapse Assumption: 8.0% annual

Illustration assumes guaranteed rates. Actual results may vary.

Human: Calculate Variable Universal Life life insurance premium for 65 year old male, $500,000 coverage, Standard Plus rating

Actuarial AI: LIFE INSURANCE PREMIUM CALCULATION

Policy Details:
• Product Type: Variable Universal Life Life Insurance
• Face Amount: $500,000
• Duration: Lifetime Coverage
• Issue Age: 65
• Sex: Male
• Underwriting Class: Standard Plus

PREMIUM COMPUTATION:
• Base Mortality Rate (q_65): 0.004639
• Underwriting Multiplier: 0.9x
• Product Load Factor: 2.5x
• Expense Loading: 15% of gross premium
• Commission Load: 82% first year, 5% renewal

ANNUAL PREMIUM BREAKDOWN:
• Mortality Cost: $3478.91
• Expense Charge: $869.73
• Reserve Accumulation: $1159.64
• Profit Margin: $289.91
• Gross Annual Premium: $5798.19

PAYMENT OPTIONS:
• Annual: $5798.19
• Semi-Annual: $3015.06 (x2 = $6030.11/year)
• Quarterly: $1536.52 (x4 = $6146.08/year)
• Monthly: $521.84 (x12 = $6262.04/year)

RESERVE CALCULATIONS:
• Net Level Premium: $4348.64
• First Year Reserve: $1159.64
• Terminal Reserve (Year 0): $330707.87

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

Internal Rate of Return: 10.8%
Profit Margin: 12.3%
Lapse Assumption: 8.0% annual

Illustration assumes guaranteed rates. Actual results may vary.


Instruction: Analyze mortality impact of Spanish Flu

Response:
PANDEMIC MORTALITY ANALYSIS

Pandemic: Spanish Flu
Global Deaths: 42,073,189
Case Fatality Rate: 1.8%
Infection Fatality Rate: 0.07%

Age-specific mortality shows exponential increase with age.
Economic impact: $6.9 trillion globally.

Human: Analyze mortality impact of Spanish Flu

Actuarial AI: PANDEMIC MORTALITY ANALYSIS

Pandemic: Spanish Flu
Global Deaths: 42,073,189
Case Fatality Rate: 1.8%
Infection Fatality Rate: 0.07%

Age-specific mortality shows exponential increase with age.
Economic impact: $6.9 trillion globally.


Instruction: Analyze mortality differences by income in the USA

Response:
DEMOGRAPHIC MORTALITY ANALYSIS

Demographic Variable: Income
Country: USA
Analysis Period: 2023

MORTALITY RATES BY INCOME (per 100,000):
• <$25k: 1012.6
• $25-50k: 522.4
• $50-75k: 487.9
• $75-100k: 1151.2
• >$100k: 308.3

DISPARITY METRICS:
• Rate Ratio (Highest/Lowest): 2.08
• Rate Difference: 558.9 per 100,000
• Population Attributable Risk: 26.3%
• Gini Coefficient: 0.129

LIFE EXPECTANCY BY INCOME:
• <$25k: 74.2 years
• $25-50k: 72.4 years
• $50-75k: 81.5 years
• $75-100k: 75.1 years
• >$100k: 76.3 years

CONTRIBUTING FACTORS:
• Healthcare Access: 28% of disparity
• Socioeconomic Status: 21% of disparity
• Environmental Factors: 16% of disparity
• Behavioral Factors: 21% of disparity
• Biological Factors: 11% of disparity

TREND ANALYSIS:
• Disparities are narrowing
• Annual change in disparity: +1.9%

Social determinants explain 71% 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: 2023

MORTALITY RATES BY INCOME (per 100,000):
• <$25k: 1012.6
• $25-50k: 522.4
• $50-75k: 487.9
• $75-100k: 1151.2
• >$100k: 308.3

DISPARITY METRICS:
• Rate Ratio (Highest/Lowest): 2.08
• Rate Difference: 558.9 per 100,000
• Population Attributable Risk: 26.3%
• Gini Coefficient: 0.129

LIFE EXPECTANCY BY INCOME:
• <$25k: 74.2 years
• $25-50k: 72.4 years
• $50-75k: 81.5 years
• $75-100k: 75.1 years
• >$100k: 76.3 years

CONTRIBUTING FACTORS:
• Healthcare Access: 28% of disparity
• Socioeconomic Status: 21% of disparity
• Environmental Factors: 16% of disparity
• Behavioral Factors: 21% of disparity
• Biological Factors: 11% of disparity

TREND ANALYSIS:
• Disparities are narrowing
• Annual change in disparity: +1.9%

Social determinants explain 71% of observed mortality differences.


Instruction: Analyze mortality differences by race in the USA

Response:
DEMOGRAPHIC MORTALITY ANALYSIS

Demographic Variable: Race
Country: USA
Analysis Period: 2019

MORTALITY RATES BY RACE (per 100,000):
• White: 749.3
• Black: 671.3
• Asian: 1084.2
• Hispanic: 1002.3
• Native American: 506.3

DISPARITY METRICS:
• Rate Ratio (Highest/Lowest): 2.12
• Rate Difference: 427.9 per 100,000
• Population Attributable Risk: 31.0%
• Gini Coefficient: 0.125

LIFE EXPECTANCY BY RACE:
• White: 75.2 years
• Black: 79.8 years
• Asian: 72.2 years
• Hispanic: 79.4 years
• Native American: 84.4 years

CONTRIBUTING FACTORS:
• Healthcare Access: 39% of disparity
• Socioeconomic Status: 31% of disparity
• Environmental Factors: 15% of disparity
• Behavioral Factors: 11% of disparity
• Biological Factors: 9% of disparity

TREND ANALYSIS:
• Disparities are widening
• Annual change in disparity: +1.7%

Social determinants explain 68% 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: 2019

MORTALITY RATES BY RACE (per 100,000):
• White: 749.3
• Black: 671.3
• Asian: 1084.2
• Hispanic: 1002.3
• Native American: 506.3

DISPARITY METRICS:
• Rate Ratio (Highest/Lowest): 2.12
• Rate Difference: 427.9 per 100,000
• Population Attributable Risk: 31.0%
• Gini Coefficient: 0.125

LIFE EXPECTANCY BY RACE:
• White: 75.2 years
• Black: 79.8 years
• Asian: 72.2 years
• Hispanic: 79.4 years
• Native American: 84.4 years

CONTRIBUTING FACTORS:
• Healthcare Access: 39% of disparity
• Socioeconomic Status: 31% of disparity
• Environmental Factors: 15% of disparity
• Behavioral Factors: 11% of disparity
• Biological Factors: 9% of disparity

TREND ANALYSIS:
• Disparities are widening
• Annual change in disparity: +1.7%

Social determinants explain 68% of observed mortality differences.


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: 0.61 per 1,000
• Leading Causes: Cancer, heart disease, accidents
• Preventable Deaths: 55%

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: 0.61 per 1,000
• Leading Causes: Cancer, heart disease, accidents
• Preventable Deaths: 55%

Life table analysis shows stable risk profile.


Instruction: Calculate Term life insurance premium for 23 year old female, $2,000,000 coverage, 20 year term, Standard Plus rating

Response:
LIFE INSURANCE PREMIUM CALCULATION

Policy Details:
• Product Type: Term Life Insurance
• Face Amount: $2,000,000
• Term Length: 20 years
• Issue Age: 23
• Sex: Female
• Underwriting Class: Standard Plus

PREMIUM COMPUTATION:
• Base Mortality Rate (q_23): 0.000845
• Underwriting Multiplier: 0.9x
• Product Load Factor: 1.0x
• Expense Loading: 15% of gross premium
• Commission Load: 100% first year, 5% renewal

ANNUAL PREMIUM BREAKDOWN:
• Mortality Cost: $1014.55
• Expense Charge: $253.64
• Reserve Accumulation: $338.18
• Profit Margin: $84.55
• Gross Annual Premium: $1690.91

PAYMENT OPTIONS:
• Annual: $1690.91
• Semi-Annual: $879.27 (x2 = $1758.55/year)
• Quarterly: $448.09 (x4 = $1792.37/year)
• Monthly: $152.18 (x12 = $1826.18/year)

RESERVE CALCULATIONS:
• Net Level Premium: $1268.18
• First Year Reserve: $338.18
• Terminal Reserve (Year 20): $857824.88

MORTALITY ASSUMPTIONS:
• Mortality Table: 2017 CSO Female
• Improvement Scale: MP-2020
• Select Period: 25 years
• Ultimate Mortality: CSO Female Ultimate

Internal Rate of Return: 10.1%
Profit Margin: 8.7%
Lapse Assumption: 3.4% annual

Illustration assumes guaranteed rates. Actual results may vary.

Human: Calculate Term life insurance premium for 23 year old female, $2,000,000 coverage, 20 year term, Standard Plus rating

Actuarial AI: LIFE INSURANCE PREMIUM CALCULATION

Policy Details:
• Product Type: Term Life Insurance
• Face Amount: $2,000,000
• Term Length: 20 years
• Issue Age: 23
• Sex: Female
• Underwriting Class: Standard Plus

PREMIUM COMPUTATION:
• Base Mortality Rate (q_23): 0.000845
• Underwriting Multiplier: 0.9x
• Product Load Factor: 1.0x
• Expense Loading: 15% of gross premium
• Commission Load: 100% first year, 5% renewal

ANNUAL PREMIUM BREAKDOWN:
• Mortality Cost: $1014.55
• Expense Charge: $253.64
• Reserve Accumulation: $338.18
• Profit Margin: $84.55
• Gross Annual Premium: $1690.91

PAYMENT OPTIONS:
• Annual: $1690.91
• Semi-Annual: $879.27 (x2 = $1758.55/year)
• Quarterly: $448.09 (x4 = $1792.37/year)
• Monthly: $152.18 (x12 = $1826.18/year)

RESERVE CALCULATIONS:
• Net Level Premium: $1268.18
• First Year Reserve: $338.18
• Terminal Reserve (Year 20): $857824.88

MORTALITY ASSUMPTIONS:
• Mortality Table: 2017 CSO Female
• Improvement Scale: MP-2020
• Select Period: 25 years
• Ultimate Mortality: CSO Female Ultimate

Internal Rate of Return: 10.1%
Profit Margin: 8.7%
Lapse Assumption: 3.4% annual

Illustration assumes guaranteed rates. Actual results may vary.


Instruction: What is the mortality rate for Kidney Disease in UK in 2022?

Response:
CAUSE-SPECIFIC MORTALITY ANALYSIS

Cause of Death: Kidney Disease
Location: UK
Year: 2022
Age Group: All ages

MORTALITY STATISTICS:
• Crude Death Rate: 9.5 per 100,000 population
• Age-Adjusted Rate: 8.4 per 100,000
• Total Deaths: 209,966
• Percentage of All Deaths: 19.2%

DEMOGRAPHIC BREAKDOWN:
• Male Death Rate: 11.4 per 100,000
• Female Death Rate: 8.1 per 100,000
• Sex Ratio (M:F): 1.30:1

TREND ANALYSIS:
• 5-Year Change: +9.8%
• 10-Year Change: -19.0%
• Annual Percentage Change: -2.9%
• Trend: Decreasing

COMPARATIVE METRICS:
• Rank Among Leading Causes: #6
• Years of Potential Life Lost (YPLL): 3245856
• Economic Burden: $28.1 billion annually
• Preventable Deaths: 25%

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

International Classification of Diseases (ICD-10): N00-N19
Data Quality: Complete (90% coverage)

Human: What is the mortality rate for Kidney Disease in UK in 2022?

Actuarial AI: CAUSE-SPECIFIC MORTALITY ANALYSIS

Cause of Death: Kidney Disease
Location: UK
Year: 2022
Age Group: All ages

MORTALITY STATISTICS:
• Crude Death Rate: 9.5 per 100,000 population
• Age-Adjusted Rate: 8.4 per 100,000
• Total Deaths: 209,966
• Percentage of All Deaths: 19.2%

DEMOGRAPHIC BREAKDOWN:
• Male Death Rate: 11.4 per 100,000
• Female Death Rate: 8.1 per 100,000
• Sex Ratio (M:F): 1.30:1

TREND ANALYSIS:
• 5-Year Change: +9.8%
• 10-Year Change: -19.0%
• Annual Percentage Change: -2.9%
• Trend: Decreasing

COMPARATIVE METRICS:
• Rank Among Leading Causes: #6
• Years of Potential Life Lost (YPLL): 3245856
• Economic Burden: $28.1 billion annually
• Preventable Deaths: 25%

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

International Classification of Diseases (ICD-10): N00-N19
Data Quality: Complete (90% coverage)


Instruction: What is the mortality rate for Accidents in France for 65-74 in 2023?

Response:
CAUSE-SPECIFIC MORTALITY ANALYSIS

Cause of Death: Accidents
Location: France
Year: 2023
Age Group: 65-74

MORTALITY STATISTICS:
• Crude Death Rate: 37.7 per 100,000 population
• Age-Adjusted Rate: 32.7 per 100,000
• Total Deaths: 324,781
• Percentage of All Deaths: 21.2%

DEMOGRAPHIC BREAKDOWN:
• Male Death Rate: 45.3 per 100,000
• Female Death Rate: 32.1 per 100,000
• Sex Ratio (M:F): 1.30:1

TREND ANALYSIS:
• 5-Year Change: -12.3%
• 10-Year Change: +8.4%
• Annual Percentage Change: +2.3%
• Trend: Increasing

COMPARATIVE METRICS:
• Rank Among Leading Causes: #12
• Years of Potential Life Lost (YPLL): 5719655
• Economic Burden: $45.3 billion annually
• Preventable Deaths: 43%

RISK FACTORS:
• Motor vehicle: 35% of total
• Falls: 30%
• Poisoning: 25%
• Drowning: 5%
• Fire: 3%

International Classification of Diseases (ICD-10): V01-X59
Data Quality: Near-Complete (94% coverage)

Human: What is the mortality rate for Accidents in France for 65-74 in 2023?

Actuarial AI: CAUSE-SPECIFIC MORTALITY ANALYSIS

Cause of Death: Accidents
Location: France
Year: 2023
Age Group: 65-74

MORTALITY STATISTICS:
• Crude Death Rate: 37.7 per 100,000 population
• Age-Adjusted Rate: 32.7 per 100,000
• Total Deaths: 324,781
• Percentage of All Deaths: 21.2%

DEMOGRAPHIC BREAKDOWN:
• Male Death Rate: 45.3 per 100,000
• Female Death Rate: 32.1 per 100,000
• Sex Ratio (M:F): 1.30:1

TREND ANALYSIS:
• 5-Year Change: -12.3%
• 10-Year Change: +8.4%
• Annual Percentage Change: +2.3%
• Trend: Increasing

COMPARATIVE METRICS:
• Rank Among Leading Causes: #12
• Years of Potential Life Lost (YPLL): 5719655
• Economic Burden: $45.3 billion annually
• Preventable Deaths: 43%

RISK FACTORS:
• Motor vehicle: 35% of total
• Falls: 30%
• Poisoning: 25%
• Drowning: 5%
• Fire: 3%

International Classification of Diseases (ICD-10): V01-X59
Data Quality: Near-Complete (94% coverage)


Instruction: What is the life expectancy for a 1 year old female in France as of 2018?

Response:
ACTUARIAL ANALYSIS: Life Expectancy Calculation

Demographics:
• Location: France
• Age: 1 years
• Sex: Female
• Reference Year: 2018

LIFE EXPECTANCY METRICS:
• Life Expectancy at Age 1 (e_1): 86.0 years
• Expected Age at Death: 87.0 years
• Median Survival Time: 59.6 years
• Modal Age at Death: 82.0 years

SURVIVAL PROBABILITIES:
• 5-Year Survival (₅p_1): 94.4%
• 10-Year Survival (₁₀p_1): 89.1%
• 20-Year Survival (₂₀p_1): 79.5%

MORTALITY METRICS:
• Force of Mortality (μ_1): 0.01149
• Probability of Death within 1 Year (q_1): 0.01143
• Hazard Rate: 0.01156

COMPARATIVE CONTEXT:
• Global Average at Age 1: 81.5 years
• Regional Rank: Top 15 globally
• Historical Trend: Stable

Based on 135,915 death records and actuarial projections.
Each year survived reduces remaining uncertainty by 4.6%.

Human: What is the life expectancy for a 1 year old female in France as of 2018?

Actuarial AI: ACTUARIAL ANALYSIS: Life Expectancy Calculation

Demographics:
• Location: France
• Age: 1 years
• Sex: Female
• Reference Year: 2018

LIFE EXPECTANCY METRICS:
• Life Expectancy at Age 1 (e_1): 86.0 years
• Expected Age at Death: 87.0 years
• Median Survival Time: 59.6 years
• Modal Age at Death: 82.0 years

SURVIVAL PROBABILITIES:
• 5-Year Survival (₅p_1): 94.4%
• 10-Year Survival (₁₀p_1): 89.1%
• 20-Year Survival (₂₀p_1): 79.5%

MORTALITY METRICS:
• Force of Mortality (μ_1): 0.01149
• Probability of Death within 1 Year (q_1): 0.01143
• Hazard Rate: 0.01156

COMPARATIVE CONTEXT:
• Global Average at Age 1: 81.5 years
• Regional Rank: Top 15 globally
• Historical Trend: Stable

Based on 135,915 death records and actuarial projections.
Each year survived reduces remaining uncertainty by 4.6%.


Instruction: Show survival curve for Canada female in 2021

Response:
SURVIVAL CURVE ANALYSIS

Population: Canada Female
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            2         0.00002         79.6
    1          99,998           10         0.00010         80.6
    5          99,988           25         0.00025         73.5
   10          99,963           62         0.00062         68.0
   20          99,901           94         0.00094         61.5
   30          99,807          163         0.00163         46.9
   40          99,644          267         0.00268         43.3
   50          99,377          470         0.00473         33.8
   60          98,907          726         0.00734         23.5
   70          98,181        1,013         0.01032          7.2
   80          97,168        1,291         0.01329          0.0
   90          95,877        2,072         0.02161          2.5
  100          93,805        3,215         0.03427          3.9
  110          90,590       90,590         1.00000          1.3

SURVIVAL METRICS:
• Median Survival Age: 110 years
• Life Expectancy at Birth: 76.5 years
• Infant Mortality Rate: 0.0 per 1,000
• Probability of Surviving to 65: 98.9%
• Probability of Surviving to 80: 97.2%

CURVE CHARACTERISTICS:
• Type: Type II (Diagonal)
• Compression: Moderate
• Rectangularization Index: 0.74

The survival curve follows Gompertz law after age 30.
Data sourced from 287,076 death certificates.

Human: Show survival curve for Canada female in 2021

Actuarial AI: SURVIVAL CURVE ANALYSIS

Population: Canada Female
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            2         0.00002         79.6
    1          99,998           10         0.00010         80.6
    5          99,988           25         0.00025         73.5
   10          99,963           62         0.00062         68.0
   20          99,901           94         0.00094         61.5
   30          99,807          163         0.00163         46.9
   40          99,644          267         0.00268         43.3
   50          99,377          470         0.00473         33.8
   60          98,907          726         0.00734         23.5
   70          98,181        1,013         0.01032          7.2
   80          97,168        1,291         0.01329          0.0
   90          95,877        2,072         0.02161          2.5
  100          93,805        3,215         0.03427          3.9
  110          90,590       90,590         1.00000          1.3

SURVIVAL METRICS:
• Median Survival Age: 110 years
• Life Expectancy at Birth: 76.5 years
• Infant Mortality Rate: 0.0 per 1,000
• Probability of Surviving to 65: 98.9%
• Probability of Surviving to 80: 97.2%

CURVE CHARACTERISTICS:
• Type: Type II (Diagonal)
• Compression: Moderate
• Rectangularization Index: 0.74

The survival curve follows Gompertz law after age 30.
Data sourced from 287,076 death certificates.


Instruction: Calculate Universal Life life insurance premium for 53 year old female, $750,000 coverage, Standard Plus rating

Response:
LIFE INSURANCE PREMIUM CALCULATION

Policy Details:
• Product Type: Universal Life Life Insurance
• Face Amount: $750,000
• Duration: Lifetime Coverage
• Issue Age: 53
• Sex: Female
• Underwriting Class: Standard Plus

PREMIUM COMPUTATION:
• Base Mortality Rate (q_53): 0.002298
• Underwriting Multiplier: 0.9x
• Product Load Factor: 2.8x
• Expense Loading: 15% of gross premium
• Commission Load: 94% first year, 5% renewal

ANNUAL PREMIUM BREAKDOWN:
• Mortality Cost: $2895.72
• Expense Charge: $723.93
• Reserve Accumulation: $965.24
• Profit Margin: $241.31
• Gross Annual Premium: $4826.19

PAYMENT OPTIONS:
• Annual: $4826.19
• Semi-Annual: $2509.62 (x2 = $5019.24/year)
• Quarterly: $1278.94 (x4 = $5115.76/year)
• Monthly: $434.36 (x12 = $5212.29/year)

RESERVE CALCULATIONS:
• Net Level Premium: $3619.64
• First Year Reserve: $965.24
• Terminal Reserve (Year 12): $487972.31

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

Internal Rate of Return: 11.3%
Profit Margin: 12.0%
Lapse Assumption: 3.8% annual

Illustration assumes guaranteed rates. Actual results may vary.

Human: Calculate Universal Life life insurance premium for 53 year old female, $750,000 coverage, Standard Plus rating

Actuarial AI: LIFE INSURANCE PREMIUM CALCULATION

Policy Details:
• Product Type: Universal Life Life Insurance
• Face Amount: $750,000
• Duration: Lifetime Coverage
• Issue Age: 53
• Sex: Female
• Underwriting Class: Standard Plus

PREMIUM COMPUTATION:
• Base Mortality Rate (q_53): 0.002298
• Underwriting Multiplier: 0.9x
• Product Load Factor: 2.8x
• Expense Loading: 15% of gross premium
• Commission Load: 94% first year, 5% renewal

ANNUAL PREMIUM BREAKDOWN:
• Mortality Cost: $2895.72
• Expense Charge: $723.93
• Reserve Accumulation: $965.24
• Profit Margin: $241.31
• Gross Annual Premium: $4826.19

PAYMENT OPTIONS:
• Annual: $4826.19
• Semi-Annual: $2509.62 (x2 = $5019.24/year)
• Quarterly: $1278.94 (x4 = $5115.76/year)
• Monthly: $434.36 (x12 = $5212.29/year)

RESERVE CALCULATIONS:
• Net Level Premium: $3619.64
• First Year Reserve: $965.24
• Terminal Reserve (Year 12): $487972.31

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

Internal Rate of Return: 11.3%
Profit Margin: 12.0%
Lapse Assumption: 3.8% annual

Illustration assumes guaranteed rates. Actual results may vary.


Instruction: Calculate the 30-year death probability for a 10 year oldsmoker with diabetes

Response:
MORTALITY RISK ASSESSMENT

Subject Profile:
• Age: 10 years
• Assessment Period: 30 years
• Smoking Status: Smoker (2.5x mortality multiplier)
• Health Conditions: diabetes

DEATH PROBABILITY CALCULATIONS:
• Annual Death Probability (q_10): 0.000462 (0.0462%)
• 30-Year Death Probability (₍30₎q_10): 0.013773 (1.377%)
• Survival Probability (₍30₎p_10): 0.986227 (98.623%)

DETAILED MORTALITY METRICS:
• Force of Mortality (μ_10): 0.000462
• Hazard Rate (h_10): 0.000462
• Cumulative Hazard (H_10): 0.013868
• Median Future Lifetime: 1499.4 years

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

CONFIDENCE INTERVALS (95%):
• Lower Bound: 0.011707
• Upper Bound: 0.015838

Analysis based on 121,914 similar profiles.
Mortality follows Gompertz-Makeham law with parameters estimated via MLE.

Human: Calculate the 30-year death probability for a 10 year oldsmoker with diabetes

Actuarial AI: MORTALITY RISK ASSESSMENT

Subject Profile:
• Age: 10 years
• Assessment Period: 30 years
• Smoking Status: Smoker (2.5x mortality multiplier)
• Health Conditions: diabetes

DEATH PROBABILITY CALCULATIONS:
• Annual Death Probability (q_10): 0.000462 (0.0462%)
• 30-Year Death Probability (₍30₎q_10): 0.013773 (1.377%)
• Survival Probability (₍30₎p_10): 0.986227 (98.623%)

DETAILED MORTALITY METRICS:
• Force of Mortality (μ_10): 0.000462
• Hazard Rate (h_10): 0.000462
• Cumulative Hazard (H_10): 0.013868
• Median Future Lifetime: 1499.4 years

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

CONFIDENCE INTERVALS (95%):
• Lower Bound: 0.011707
• Upper Bound: 0.015838

Analysis based on 121,914 similar profiles.
Mortality follows Gompertz-Makeham law with parameters estimated via MLE.


Instruction: Show survival curve for Russia male in 2015

Response:
SURVIVAL CURVE ANALYSIS

Population: Russia Male
Reference Year: 2015
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         82.6
    1          99,997           15         0.00015         83.8
    5          99,982           32         0.00032         74.5
   10          99,950           83         0.00083         67.9
   20          99,867          165         0.00165         57.5
   30          99,702          211         0.00212         47.7
   40          99,491          370         0.00372         41.0
   50          99,121          642         0.00648         29.1
   60          98,479        1,046         0.01062         24.6
   70          97,433        1,292         0.01326         14.8
   80          96,141        2,227         0.02316          0.0
   90          93,914        2,890         0.03077          2.5
  100          91,024        4,106         0.04511          4.7
  110          86,918       86,918         1.00000          4.7

SURVIVAL METRICS:
• Median Survival Age: 110 years
• Life Expectancy at Birth: 81.8 years
• Infant Mortality Rate: 0.0 per 1,000
• Probability of Surviving to 65: 98.5%
• Probability of Surviving to 80: 96.1%

CURVE CHARACTERISTICS:
• Type: Type II (Diagonal)
• Compression: Moderate
• Rectangularization Index: 0.88

The survival curve follows Gompertz law after age 30.
Data sourced from 193,389 death certificates.

Human: Show survival curve for Russia male in 2015

Actuarial AI: SURVIVAL CURVE ANALYSIS

Population: Russia Male
Reference Year: 2015
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         82.6
    1          99,997           15         0.00015         83.8
    5          99,982           32         0.00032         74.5
   10          99,950           83         0.00083         67.9
   20          99,867          165         0.00165         57.5
   30          99,702          211         0.00212         47.7
   40          99,491          370         0.00372         41.0
   50          99,121          642         0.00648         29.1
   60          98,479        1,046         0.01062         24.6
   70          97,433        1,292         0.01326         14.8
   80          96,141        2,227         0.02316          0.0
   90          93,914        2,890         0.03077          2.5
  100          91,024        4,106         0.04511          4.7
  110          86,918       86,918         1.00000          4.7

SURVIVAL METRICS:
• Median Survival Age: 110 years
• Life Expectancy at Birth: 81.8 years
• Infant Mortality Rate: 0.0 per 1,000
• Probability of Surviving to 65: 98.5%
• Probability of Surviving to 80: 96.1%

CURVE CHARACTERISTICS:
• Type: Type II (Diagonal)
• Compression: Moderate
• Rectangularization Index: 0.88

The survival curve follows Gompertz law after age 30.
Data sourced from 193,389 death certificates.


Instruction: Mortality risk assessment for 21 year old over next 5 years

Response:
MORTALITY RISK ASSESSMENT

Subject Profile:
• Age: 21 years
• Assessment Period: 5 years
• Smoking Status: Non-smoker
• Health Conditions: hypertension, cancer history

DEATH PROBABILITY CALCULATIONS:
• Annual Death Probability (q_21): 0.000353 (0.0353%)
• 5-Year Death Probability (₍5₎q_21): 0.001765 (0.177%)
• Survival Probability (₍5₎p_21): 0.998235 (99.823%)

DETAILED MORTALITY METRICS:
• Force of Mortality (μ_21): 0.000353
• Hazard Rate (h_21): 0.000353
• Cumulative Hazard (H_21): 0.001767
• Median Future Lifetime: 1961.5 years

RISK CLASSIFICATION:
• Mortality Ratio: 0.4x standard
• Risk Category: Preferred Plus
• Insurability: Standard with loading
• Recommended Premium Loading: 0%

CONFIDENCE INTERVALS (95%):
• Lower Bound: 0.001501
• Upper Bound: 0.002030

Analysis based on 96,085 similar profiles.
Mortality follows Gompertz-Makeham law with parameters estimated via MLE.

Human: Mortality risk assessment for 21 year old over next 5 years

Actuarial AI: MORTALITY RISK ASSESSMENT

Subject Profile:
• Age: 21 years
• Assessment Period: 5 years
• Smoking Status: Non-smoker
• Health Conditions: hypertension, cancer history

DEATH PROBABILITY CALCULATIONS:
• Annual Death Probability (q_21): 0.000353 (0.0353%)
• 5-Year Death Probability (₍5₎q_21): 0.001765 (0.177%)
• Survival Probability (₍5₎p_21): 0.998235 (99.823%)

DETAILED MORTALITY METRICS:
• Force of Mortality (μ_21): 0.000353
• Hazard Rate (h_21): 0.000353
• Cumulative Hazard (H_21): 0.001767
• Median Future Lifetime: 1961.5 years

RISK CLASSIFICATION:
• Mortality Ratio: 0.4x standard
• Risk Category: Preferred Plus
• Insurability: Standard with loading
• Recommended Premium Loading: 0%

CONFIDENCE INTERVALS (95%):
• Lower Bound: 0.001501
• Upper Bound: 0.002030

Analysis based on 96,085 similar profiles.
Mortality follows Gompertz-Makeham law with parameters estimated via MLE.


Instruction: Analyze mortality impact of Ebola

Response:
PANDEMIC MORTALITY ANALYSIS

Pandemic: Ebola
Global Deaths: 11,429
Case Fatality Rate: 0.1%
Infection Fatality Rate: 1.92%

Age-specific mortality shows exponential increase with age.
Economic impact: $7.7 trillion globally.

Human: Analyze mortality impact of Ebola

Actuarial AI: PANDEMIC MORTALITY ANALYSIS

Pandemic: Ebola
Global Deaths: 11,429
Case Fatality Rate: 0.1%
Infection Fatality Rate: 1.92%

Age-specific mortality shows exponential increase with age.
Economic impact: $7.7 trillion globally.


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-2021
• Experience Adjustment: 88%

EXPERIENCE ANALYSIS:
• Actual/Expected Ratio: 0.91
• Credibility Factor: 0.81
• Indicated Change: +3.2%

FINANCIAL IMPACT:
• Reserve Change: $9.3 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-2021
• Experience Adjustment: 88%

EXPERIENCE ANALYSIS:
• Actual/Expected Ratio: 0.91
• Credibility Factor: 0.81
• Indicated Change: +3.2%

FINANCIAL IMPACT:
• Reserve Change: $9.3 million
• Funded Ratio Impact: -1.6%

Recommendation: Maintain current assumptions