Instruction: Summarize group life mortality experience study results

Response:
MORTALITY EXPERIENCE STUDY

Study Type: Group Life Insurance
Study Period: 2021-2023
Exposure: 248219 life-years

ACTUAL vs EXPECTED:
• Overall A/E Ratio: 0.87
• Deaths Actual: 1,942
• Deaths Expected: 2,138

BY DURATION:
• Select Period (Years 1-5): 0.90
• Ultimate (Years 6+): 1.03

Statistical confidence: 95% CI [0.81, 1.14]

Human: Summarize group life mortality experience study results

Actuarial AI: MORTALITY EXPERIENCE STUDY

Study Type: Group Life Insurance
Study Period: 2021-2023
Exposure: 248219 life-years

ACTUAL vs EXPECTED:
• Overall A/E Ratio: 0.87
• Deaths Actual: 1,942
• Deaths Expected: 2,138

BY DURATION:
• Select Period (Years 1-5): 0.90
• Ultimate (Years 6+): 1.03

Statistical confidence: 95% CI [0.81, 1.14]


Instruction: What is the life expectancy for a 61 year old both in Canada as of 2019?

Response:
ACTUARIAL ANALYSIS: Life Expectancy Calculation

Demographics:
• Location: Canada
• Age: 61 years
• Sex: Both
• Reference Year: 2019

LIFE EXPECTANCY METRICS:
• Life Expectancy at Age 61 (e_61): 19.3 years
• Expected Age at Death: 80.3 years
• Median Survival Time: 13.4 years
• Modal Age at Death: 75.3 years

SURVIVAL PROBABILITIES:
• 5-Year Survival (₅p_61): 78.1%
• 10-Year Survival (₁₀p_61): 61.1%
• 20-Year Survival (₂₀p_61): 37.3%

MORTALITY METRICS:
• Force of Mortality (μ_61): 0.04932
• Probability of Death within 1 Year (q_61): 0.04813
• Hazard Rate: 0.05058

COMPARATIVE CONTEXT:
• Global Average at Age 61: 21.1 years
• Regional Rank: Top 30 globally
• Historical Trend: Stable

Based on 154,907 death records and actuarial projections.
Each year survived reduces remaining uncertainty by 3.7%.

Human: What is the life expectancy for a 61 year old both in Canada as of 2019?

Actuarial AI: ACTUARIAL ANALYSIS: Life Expectancy Calculation

Demographics:
• Location: Canada
• Age: 61 years
• Sex: Both
• Reference Year: 2019

LIFE EXPECTANCY METRICS:
• Life Expectancy at Age 61 (e_61): 19.3 years
• Expected Age at Death: 80.3 years
• Median Survival Time: 13.4 years
• Modal Age at Death: 75.3 years

SURVIVAL PROBABILITIES:
• 5-Year Survival (₅p_61): 78.1%
• 10-Year Survival (₁₀p_61): 61.1%
• 20-Year Survival (₂₀p_61): 37.3%

MORTALITY METRICS:
• Force of Mortality (μ_61): 0.04932
• Probability of Death within 1 Year (q_61): 0.04813
• Hazard Rate: 0.05058

COMPARATIVE CONTEXT:
• Global Average at Age 61: 21.1 years
• Regional Rank: Top 30 globally
• Historical Trend: Stable

Based on 154,907 death records and actuarial projections.
Each year survived reduces remaining uncertainty by 3.7%.


Instruction: What is the life expectancy for a 63 year old both in UK as of 2024?

Response:
ACTUARIAL ANALYSIS: Life Expectancy Calculation

Demographics:
• Location: UK
• Age: 63 years
• Sex: Both
• Reference Year: 2024

LIFE EXPECTANCY METRICS:
• Life Expectancy at Age 63 (e_63): 20.4 years
• Expected Age at Death: 83.4 years
• Median Survival Time: 14.1 years
• Modal Age at Death: 78.4 years

SURVIVAL PROBABILITIES:
• 5-Year Survival (₅p_63): 79.1%
• 10-Year Survival (₁₀p_63): 62.6%
• 20-Year Survival (₂₀p_63): 39.2%

MORTALITY METRICS:
• Force of Mortality (μ_63): 0.04678
• Probability of Death within 1 Year (q_63): 0.04570
• Hazard Rate: 0.04791

COMPARATIVE CONTEXT:
• Global Average at Age 63: 18.3 years
• Regional Rank: Top 35 globally
• Historical Trend: Stable

Based on 462,154 death records and actuarial projections.
Each year survived reduces remaining uncertainty by 3.0%.

Human: What is the life expectancy for a 63 year old both in UK as of 2024?

Actuarial AI: ACTUARIAL ANALYSIS: Life Expectancy Calculation

Demographics:
• Location: UK
• Age: 63 years
• Sex: Both
• Reference Year: 2024

LIFE EXPECTANCY METRICS:
• Life Expectancy at Age 63 (e_63): 20.4 years
• Expected Age at Death: 83.4 years
• Median Survival Time: 14.1 years
• Modal Age at Death: 78.4 years

SURVIVAL PROBABILITIES:
• 5-Year Survival (₅p_63): 79.1%
• 10-Year Survival (₁₀p_63): 62.6%
• 20-Year Survival (₂₀p_63): 39.2%

MORTALITY METRICS:
• Force of Mortality (μ_63): 0.04678
• Probability of Death within 1 Year (q_63): 0.04570
• Hazard Rate: 0.04791

COMPARATIVE CONTEXT:
• Global Average at Age 63: 18.3 years
• Regional Rank: Top 35 globally
• Historical Trend: Stable

Based on 462,154 death records and actuarial projections.
Each year survived reduces remaining uncertainty by 3.0%.


Instruction: Compare maternal mortality between Italy, USA and China

Response:
INTERNATIONAL MORTALITY COMPARISON

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

COMPARATIVE STATISTICS:
• Italy: 7.0 per 100,000 live births
• USA: 15.9 per 100,000 live births
• China: 31.8 per 100,000 live births

RANKINGS:
1. Italy: 7.0
2. USA: 15.9
3. China: 31.8

STATISTICAL ANALYSIS:
• Range: 24.9
• Mean: 18.2
• Median: 15.9
• Standard Deviation: 10.3
• Coefficient of Variation: 56.5%

RELATIVE COMPARISONS:
• Best vs Worst: 4.57x difference
• Above Average: 1/3
• Global Ranking: Italy: #128, USA: #160, China: #34

CONTRIBUTING FACTORS:
• Healthcare System: 24% of variation
• Economic Development: 22% of variation
• Public Health Policy: 17% of variation
• Demographics: 13% of variation
• Environmental Factors: 13% of variation

Convergence/Divergence: Diverging at 1.1% annually

Human: Compare maternal mortality between Italy, USA and China

Actuarial AI: INTERNATIONAL MORTALITY COMPARISON

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

COMPARATIVE STATISTICS:
• Italy: 7.0 per 100,000 live births
• USA: 15.9 per 100,000 live births
• China: 31.8 per 100,000 live births

RANKINGS:
1. Italy: 7.0
2. USA: 15.9
3. China: 31.8

STATISTICAL ANALYSIS:
• Range: 24.9
• Mean: 18.2
• Median: 15.9
• Standard Deviation: 10.3
• Coefficient of Variation: 56.5%

RELATIVE COMPARISONS:
• Best vs Worst: 4.57x difference
• Above Average: 1/3
• Global Ranking: Italy: #128, USA: #160, China: #34

CONTRIBUTING FACTORS:
• Healthcare System: 24% of variation
• Economic Development: 22% of variation
• Public Health Policy: 17% of variation
• Demographics: 13% of variation
• Environmental Factors: 13% of variation

Convergence/Divergence: Diverging at 1.1% annually


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

Response:
OCCUPATIONAL MORTALITY ANALYSIS

Industry: Healthcare
Fatal Injury Rate: 120.3 per 100,000 full-time workers
Annual Deaths: 10,299

LEADING CAUSES:
• Falls: 24%
• Struck by object: 19%
• Electrocution: 7%
• Caught-in/between: 16%

Workers' compensation death benefit: $354,897

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

Actuarial AI: OCCUPATIONAL MORTALITY ANALYSIS

Industry: Healthcare
Fatal Injury Rate: 120.3 per 100,000 full-time workers
Annual Deaths: 10,299

LEADING CAUSES:
• Falls: 24%
• Struck by object: 19%
• Electrocution: 7%
• Caught-in/between: 16%

Workers' compensation death benefit: $354,897


Instruction: What is the life expectancy for a 6 year old female in Italy as of 2016?

Response:
ACTUARIAL ANALYSIS: Life Expectancy Calculation

Demographics:
• Location: Italy
• Age: 6 years
• Sex: Female
• Reference Year: 2016

LIFE EXPECTANCY METRICS:
• Life Expectancy at Age 6 (e_6): 82.8 years
• Expected Age at Death: 88.8 years
• Median Survival Time: 57.4 years
• Modal Age at Death: 83.8 years

SURVIVAL PROBABILITIES:
• 5-Year Survival (₅p_6): 94.2%
• 10-Year Survival (₁₀p_6): 88.8%
• 20-Year Survival (₂₀p_6): 78.8%

MORTALITY METRICS:
• Force of Mortality (μ_6): 0.01193
• Probability of Death within 1 Year (q_6): 0.01186
• Hazard Rate: 0.01201

COMPARATIVE CONTEXT:
• Global Average at Age 6: 77.4 years
• Regional Rank: Top 16 globally
• Historical Trend: Improving

Based on 414,224 death records and actuarial projections.
Each year survived reduces remaining uncertainty by 2.4%.

Human: What is the life expectancy for a 6 year old female in Italy as of 2016?

Actuarial AI: ACTUARIAL ANALYSIS: Life Expectancy Calculation

Demographics:
• Location: Italy
• Age: 6 years
• Sex: Female
• Reference Year: 2016

LIFE EXPECTANCY METRICS:
• Life Expectancy at Age 6 (e_6): 82.8 years
• Expected Age at Death: 88.8 years
• Median Survival Time: 57.4 years
• Modal Age at Death: 83.8 years

SURVIVAL PROBABILITIES:
• 5-Year Survival (₅p_6): 94.2%
• 10-Year Survival (₁₀p_6): 88.8%
• 20-Year Survival (₂₀p_6): 78.8%

MORTALITY METRICS:
• Force of Mortality (μ_6): 0.01193
• Probability of Death within 1 Year (q_6): 0.01186
• Hazard Rate: 0.01201

COMPARATIVE CONTEXT:
• Global Average at Age 6: 77.4 years
• Regional Rank: Top 16 globally
• Historical Trend: Improving

Based on 414,224 death records and actuarial projections.
Each year survived reduces remaining uncertainty by 2.4%.


Instruction: Calculate the 30-year death probability for a 35 year oldsmoker with obesity, heart disease

Response:
MORTALITY RISK ASSESSMENT

Subject Profile:
• Age: 35 years
• Assessment Period: 30 years
• Smoking Status: Smoker (2.5x mortality multiplier)
• Health Conditions: obesity, heart disease

DEATH PROBABILITY CALCULATIONS:
• Annual Death Probability (q_35): 0.001758 (0.1758%)
• 30-Year Death Probability (₍30₎q_35): 0.051409 (5.141%)
• Survival Probability (₍30₎p_35): 0.948591 (94.859%)

DETAILED MORTALITY METRICS:
• Force of Mortality (μ_35): 0.001759
• Hazard Rate (h_35): 0.001759
• Cumulative Hazard (H_35): 0.052777
• Median Future Lifetime: 394.0 years

RISK CLASSIFICATION:
• Mortality Ratio: 1.8x standard
• Risk Category: Preferred
• Insurability: Standard with loading
• Recommended Premium Loading: 76%

CONFIDENCE INTERVALS (95%):
• Lower Bound: 0.043698
• Upper Bound: 0.059120

Analysis based on 141,880 similar profiles.
Mortality follows Gompertz-Makeham law with parameters estimated via MLE.

Human: Calculate the 30-year death probability for a 35 year oldsmoker with obesity, heart disease

Actuarial AI: MORTALITY RISK ASSESSMENT

Subject Profile:
• Age: 35 years
• Assessment Period: 30 years
• Smoking Status: Smoker (2.5x mortality multiplier)
• Health Conditions: obesity, heart disease

DEATH PROBABILITY CALCULATIONS:
• Annual Death Probability (q_35): 0.001758 (0.1758%)
• 30-Year Death Probability (₍30₎q_35): 0.051409 (5.141%)
• Survival Probability (₍30₎p_35): 0.948591 (94.859%)

DETAILED MORTALITY METRICS:
• Force of Mortality (μ_35): 0.001759
• Hazard Rate (h_35): 0.001759
• Cumulative Hazard (H_35): 0.052777
• Median Future Lifetime: 394.0 years

RISK CLASSIFICATION:
• Mortality Ratio: 1.8x standard
• Risk Category: Preferred
• Insurability: Standard with loading
• Recommended Premium Loading: 76%

CONFIDENCE INTERVALS (95%):
• Lower Bound: 0.043698
• Upper Bound: 0.059120

Analysis based on 141,880 similar profiles.
Mortality follows Gompertz-Makeham law with parameters estimated via MLE.


Instruction: What is the mortality rate for Cancer in UK for 25-44 in 2024?

Response:
CAUSE-SPECIFIC MORTALITY ANALYSIS

Cause of Death: Cancer
Location: UK
Year: 2024
Age Group: 25-44

MORTALITY STATISTICS:
• Crude Death Rate: 139.1 per 100,000 population
• Age-Adjusted Rate: 130.9 per 100,000
• Total Deaths: 4,403,757
• Percentage of All Deaths: 10.1%

DEMOGRAPHIC BREAKDOWN:
• Male Death Rate: 167.0 per 100,000
• Female Death Rate: 118.3 per 100,000
• Sex Ratio (M:F): 1.49:1

TREND ANALYSIS:
• 5-Year Change: -6.2%
• 10-Year Change: -8.0%
• Annual Percentage Change: -1.8%
• Trend: Increasing

COMPARATIVE METRICS:
• Rank Among Leading Causes: #6
• Years of Potential Life Lost (YPLL): 130965893
• Economic Burden: $90.9 billion annually
• Preventable Deaths: 24%

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 (87% coverage)

Human: What is the mortality rate for Cancer in UK for 25-44 in 2024?

Actuarial AI: CAUSE-SPECIFIC MORTALITY ANALYSIS

Cause of Death: Cancer
Location: UK
Year: 2024
Age Group: 25-44

MORTALITY STATISTICS:
• Crude Death Rate: 139.1 per 100,000 population
• Age-Adjusted Rate: 130.9 per 100,000
• Total Deaths: 4,403,757
• Percentage of All Deaths: 10.1%

DEMOGRAPHIC BREAKDOWN:
• Male Death Rate: 167.0 per 100,000
• Female Death Rate: 118.3 per 100,000
• Sex Ratio (M:F): 1.49:1

TREND ANALYSIS:
• 5-Year Change: -6.2%
• 10-Year Change: -8.0%
• Annual Percentage Change: -1.8%
• Trend: Increasing

COMPARATIVE METRICS:
• Rank Among Leading Causes: #6
• Years of Potential Life Lost (YPLL): 130965893
• Economic Burden: $90.9 billion annually
• Preventable Deaths: 24%

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 (87% coverage)


Instruction: Analyze mortality impact of MERS

Response:
PANDEMIC MORTALITY ANALYSIS

Pandemic: MERS
Global Deaths: 890
Case Fatality Rate: 2.4%
Infection Fatality Rate: 0.83%

Age-specific mortality shows exponential increase with age.
Economic impact: $2.4 trillion globally.

Human: Analyze mortality impact of MERS

Actuarial AI: PANDEMIC MORTALITY ANALYSIS

Pandemic: MERS
Global Deaths: 890
Case Fatality Rate: 2.4%
Infection Fatality Rate: 0.83%

Age-specific mortality shows exponential increase with age.
Economic impact: $2.4 trillion globally.


Instruction: Summarize pension mortality experience study results

Response:
MORTALITY EXPERIENCE STUDY

Study Type: Pension Insurance
Study Period: 2019-2022
Exposure: 696742 life-years

ACTUAL vs EXPECTED:
• Overall A/E Ratio: 0.94
• Deaths Actual: 6,982
• Deaths Expected: 4,624

BY DURATION:
• Select Period (Years 1-5): 0.88
• Ultimate (Years 6+): 1.01

Statistical confidence: 95% CI [0.93, 1.05]

Human: Summarize pension mortality experience study results

Actuarial AI: MORTALITY EXPERIENCE STUDY

Study Type: Pension Insurance
Study Period: 2019-2022
Exposure: 696742 life-years

ACTUAL vs EXPECTED:
• Overall A/E Ratio: 0.94
• Deaths Actual: 6,982
• Deaths Expected: 4,624

BY DURATION:
• Select Period (Years 1-5): 0.88
• Ultimate (Years 6+): 1.01

Statistical confidence: 95% CI [0.93, 1.05]


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

Response:
OCCUPATIONAL MORTALITY ANALYSIS

Industry: Manufacturing
Fatal Injury Rate: 25.6 per 100,000 full-time workers
Annual Deaths: 477

LEADING CAUSES:
• Falls: 35%
• Struck by object: 28%
• Electrocution: 12%
• Caught-in/between: 18%

Workers' compensation death benefit: $328,418

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

Actuarial AI: OCCUPATIONAL MORTALITY ANALYSIS

Industry: Manufacturing
Fatal Injury Rate: 25.6 per 100,000 full-time workers
Annual Deaths: 477

LEADING CAUSES:
• Falls: 35%
• Struck by object: 28%
• Electrocution: 12%
• Caught-in/between: 18%

Workers' compensation death benefit: $328,418


Instruction: Calculate excess mortality during opioid crisis in France for Q2 2021

Response:
EXCESS MORTALITY ANALYSIS

Event: opioid crisis
Location: France
Period: Q2 2021

MORTALITY METRICS:
• Expected Deaths (Baseline): 30,374
• Observed Deaths: 35,237
• Excess Deaths: 4,863
• Excess Mortality Rate: 16.0%
• P-score: 16.0%
• Z-score: 3.27 (p < 0.001)

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

AGE-SPECIFIC EXCESS:
• 0-44 years: 2.0% (486 deaths)
• 45-64 years: 13.4% (1,215 deaths)
• 65-74 years: 27.6% (1,215 deaths)
• 75+ years: 30.9% (1,945 deaths)

CAUSE ATTRIBUTION:
• Direct (confirmed): 2,538 (75%)
• Indirect (probable): 1,396 (26%)
• Collateral (delayed care): 744 (18%)

STATISTICAL SIGNIFICANCE:
• 95% CI: [4,133, 5,592]
• Probability of chance: < 0.001
• Power: 0.98

Years of Life Lost: 51140
Economic Impact: $6.4 billion
Quality-Adjusted Life Years Lost: 53876

Human: Calculate excess mortality during opioid crisis in France for Q2 2021

Actuarial AI: EXCESS MORTALITY ANALYSIS

Event: opioid crisis
Location: France
Period: Q2 2021

MORTALITY METRICS:
• Expected Deaths (Baseline): 30,374
• Observed Deaths: 35,237
• Excess Deaths: 4,863
• Excess Mortality Rate: 16.0%
• P-score: 16.0%
• Z-score: 3.27 (p < 0.001)

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

AGE-SPECIFIC EXCESS:
• 0-44 years: 2.0% (486 deaths)
• 45-64 years: 13.4% (1,215 deaths)
• 65-74 years: 27.6% (1,215 deaths)
• 75+ years: 30.9% (1,945 deaths)

CAUSE ATTRIBUTION:
• Direct (confirmed): 2,538 (75%)
• Indirect (probable): 1,396 (26%)
• Collateral (delayed care): 744 (18%)

STATISTICAL SIGNIFICANCE:
• 95% CI: [4,133, 5,592]
• Probability of chance: < 0.001
• Power: 0.98

Years of Life Lost: 51140
Economic Impact: $6.4 billion
Quality-Adjusted Life Years Lost: 53876


Instruction: Calculate excess mortality during COVID-19 pandemic in Italy for 2020

Response:
EXCESS MORTALITY ANALYSIS

Event: COVID-19 pandemic
Location: Italy
Period: 2020

MORTALITY METRICS:
• Expected Deaths (Baseline): 68,191
• Observed Deaths: 73,917
• Excess Deaths: 5,726
• Excess Mortality Rate: 8.4%
• P-score: 8.4%
• Z-score: 4.85 (p < 0.001)

BASELINE CALCULATION:
• Method: 5-year average
• Reference Period: 2015-2019
• Seasonal Adjustment: Applied
• Trend Adjustment: 1.6% annual

AGE-SPECIFIC EXCESS:
• 0-44 years: -1.1% (572 deaths)
• 45-64 years: 8.6% (1,431 deaths)
• 65-74 years: 19.3% (1,431 deaths)
• 75+ years: 37.8% (2,290 deaths)

CAUSE ATTRIBUTION:
• Direct (confirmed): 2,932 (75%)
• Indirect (probable): 1,663 (22%)
• Collateral (delayed care): 978 (12%)

STATISTICAL SIGNIFICANCE:
• 95% CI: [4,867, 6,584]
• Probability of chance: < 0.001
• Power: 0.96

Years of Life Lost: 79234
Economic Impact: $4.4 billion
Quality-Adjusted Life Years Lost: 61249

Human: Calculate excess mortality during COVID-19 pandemic in Italy for 2020

Actuarial AI: EXCESS MORTALITY ANALYSIS

Event: COVID-19 pandemic
Location: Italy
Period: 2020

MORTALITY METRICS:
• Expected Deaths (Baseline): 68,191
• Observed Deaths: 73,917
• Excess Deaths: 5,726
• Excess Mortality Rate: 8.4%
• P-score: 8.4%
• Z-score: 4.85 (p < 0.001)

BASELINE CALCULATION:
• Method: 5-year average
• Reference Period: 2015-2019
• Seasonal Adjustment: Applied
• Trend Adjustment: 1.6% annual

AGE-SPECIFIC EXCESS:
• 0-44 years: -1.1% (572 deaths)
• 45-64 years: 8.6% (1,431 deaths)
• 65-74 years: 19.3% (1,431 deaths)
• 75+ years: 37.8% (2,290 deaths)

CAUSE ATTRIBUTION:
• Direct (confirmed): 2,932 (75%)
• Indirect (probable): 1,663 (22%)
• Collateral (delayed care): 978 (12%)

STATISTICAL SIGNIFICANCE:
• 95% CI: [4,867, 6,584]
• Probability of chance: < 0.001
• Power: 0.96

Years of Life Lost: 79234
Economic Impact: $4.4 billion
Quality-Adjusted Life Years Lost: 61249


Instruction: Calculate Variable Universal Life life insurance premium for 55 year old male, $100,000 coverage, Preferred Plus rating

Response:
LIFE INSURANCE PREMIUM CALCULATION

Policy Details:
• Product Type: Variable Universal Life Life Insurance
• Face Amount: $100,000
• Duration: Lifetime Coverage
• Issue Age: 55
• Sex: Male
• Underwriting Class: Preferred Plus

PREMIUM COMPUTATION:
• Base Mortality Rate (q_55): 0.002216
• Underwriting Multiplier: 0.6x
• Product Load Factor: 2.5x
• Expense Loading: 15% of gross premium
• Commission Load: 52% first year, 5% renewal

ANNUAL PREMIUM BREAKDOWN:
• Mortality Cost: $332.37
• Expense Charge: $83.09
• Reserve Accumulation: $110.79
• Profit Margin: $27.70
• Gross Annual Premium: $553.94

PAYMENT OPTIONS:
• Annual: $553.94
• Semi-Annual: $288.05 (x2 = $576.10/year)
• Quarterly: $146.80 (x4 = $587.18/year)
• Monthly: $49.85 (x12 = $598.26/year)

RESERVE CALCULATIONS:
• Net Level Premium: $415.46
• First Year Reserve: $110.79
• Terminal Reserve (Year 10): $38285.92

MORTALITY ASSUMPTIONS:
• Mortality Table: 2017 CSO Male
• Improvement Scale: MP-2021
• Select Period: 15 years
• Ultimate Mortality: CSO Male Ultimate

Internal Rate of Return: 11.9%
Profit Margin: 12.7%
Lapse Assumption: 3.6% annual

Illustration assumes guaranteed rates. Actual results may vary.

Human: Calculate Variable Universal Life life insurance premium for 55 year old male, $100,000 coverage, Preferred Plus rating

Actuarial AI: LIFE INSURANCE PREMIUM CALCULATION

Policy Details:
• Product Type: Variable Universal Life Life Insurance
• Face Amount: $100,000
• Duration: Lifetime Coverage
• Issue Age: 55
• Sex: Male
• Underwriting Class: Preferred Plus

PREMIUM COMPUTATION:
• Base Mortality Rate (q_55): 0.002216
• Underwriting Multiplier: 0.6x
• Product Load Factor: 2.5x
• Expense Loading: 15% of gross premium
• Commission Load: 52% first year, 5% renewal

ANNUAL PREMIUM BREAKDOWN:
• Mortality Cost: $332.37
• Expense Charge: $83.09
• Reserve Accumulation: $110.79
• Profit Margin: $27.70
• Gross Annual Premium: $553.94

PAYMENT OPTIONS:
• Annual: $553.94
• Semi-Annual: $288.05 (x2 = $576.10/year)
• Quarterly: $146.80 (x4 = $587.18/year)
• Monthly: $49.85 (x12 = $598.26/year)

RESERVE CALCULATIONS:
• Net Level Premium: $415.46
• First Year Reserve: $110.79
• Terminal Reserve (Year 10): $38285.92

MORTALITY ASSUMPTIONS:
• Mortality Table: 2017 CSO Male
• Improvement Scale: MP-2021
• Select Period: 15 years
• Ultimate Mortality: CSO Male Ultimate

Internal Rate of Return: 11.9%
Profit Margin: 12.7%
Lapse Assumption: 3.6% annual

Illustration assumes guaranteed rates. Actual results may vary.


Instruction: Calculate Variable Universal Life life insurance premium for 27 year old female, $5,000,000 coverage, Preferred 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: 27
• Sex: Female
• Underwriting Class: Preferred

PREMIUM COMPUTATION:
• Base Mortality Rate (q_27): 0.000805
• Underwriting Multiplier: 0.75x
• Product Load Factor: 2.5x
• Expense Loading: 15% of gross premium
• Commission Load: 93% first year, 5% renewal

ANNUAL PREMIUM BREAKDOWN:
• Mortality Cost: $6037.77
• Expense Charge: $1509.44
• Reserve Accumulation: $2012.59
• Profit Margin: $503.15
• Gross Annual Premium: $10062.96

PAYMENT OPTIONS:
• Annual: $10062.96
• Semi-Annual: $5232.74 (x2 = $10465.47/year)
• Quarterly: $2666.68 (x4 = $10666.73/year)
• Monthly: $905.67 (x12 = $10867.99/year)

RESERVE CALCULATIONS:
• Net Level Premium: $7547.22
• First Year Reserve: $2012.59
• Terminal Reserve (Year 38): $2477961.79

MORTALITY ASSUMPTIONS:
• Mortality Table: 2017 CSO Female
• Improvement Scale: MP-2020
• Select Period: 15 years
• Ultimate Mortality: CSO Female Ultimate

Internal Rate of Return: 9.4%
Profit Margin: 13.9%
Lapse Assumption: 3.4% annual

Illustration assumes guaranteed rates. Actual results may vary.

Human: Calculate Variable Universal Life life insurance premium for 27 year old female, $5,000,000 coverage, Preferred 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: 27
• Sex: Female
• Underwriting Class: Preferred

PREMIUM COMPUTATION:
• Base Mortality Rate (q_27): 0.000805
• Underwriting Multiplier: 0.75x
• Product Load Factor: 2.5x
• Expense Loading: 15% of gross premium
• Commission Load: 93% first year, 5% renewal

ANNUAL PREMIUM BREAKDOWN:
• Mortality Cost: $6037.77
• Expense Charge: $1509.44
• Reserve Accumulation: $2012.59
• Profit Margin: $503.15
• Gross Annual Premium: $10062.96

PAYMENT OPTIONS:
• Annual: $10062.96
• Semi-Annual: $5232.74 (x2 = $10465.47/year)
• Quarterly: $2666.68 (x4 = $10666.73/year)
• Monthly: $905.67 (x12 = $10867.99/year)

RESERVE CALCULATIONS:
• Net Level Premium: $7547.22
• First Year Reserve: $2012.59
• Terminal Reserve (Year 38): $2477961.79

MORTALITY ASSUMPTIONS:
• Mortality Table: 2017 CSO Female
• Improvement Scale: MP-2020
• Select Period: 15 years
• Ultimate Mortality: CSO Female Ultimate

Internal Rate of Return: 9.4%
Profit Margin: 13.9%
Lapse Assumption: 3.4% annual

Illustration assumes guaranteed rates. Actual results may vary.


Instruction: What is the life expectancy for a 85 year old male in India as of 2022?

Response:
ACTUARIAL ANALYSIS: Life Expectancy Calculation

Demographics:
• Location: India
• Age: 85 years
• Sex: Male
• Reference Year: 2022

LIFE EXPECTANCY METRICS:
• Life Expectancy at Age 85 (e_85): -3.2 years
• Expected Age at Death: 81.8 years
• Median Survival Time: -2.2 years
• Modal Age at Death: 76.8 years

SURVIVAL PROBABILITIES:
• 5-Year Survival (₅p_85): 100.0%
• 10-Year Survival (₁₀p_85): 100.0%
• 20-Year Survival (₂₀p_85): 100.0%

MORTALITY METRICS:
• Force of Mortality (μ_85): -0.46420
• Probability of Death within 1 Year (q_85): -0.59074
• Hazard Rate: -0.38131

COMPARATIVE CONTEXT:
• Global Average at Age 85: -15.3 years
• Regional Rank: Top 3 globally
• Historical Trend: Improving

Based on 325,975 death records and actuarial projections.
Each year survived reduces remaining uncertainty by 2.4%.

Human: What is the life expectancy for a 85 year old male in India as of 2022?

Actuarial AI: ACTUARIAL ANALYSIS: Life Expectancy Calculation

Demographics:
• Location: India
• Age: 85 years
• Sex: Male
• Reference Year: 2022

LIFE EXPECTANCY METRICS:
• Life Expectancy at Age 85 (e_85): -3.2 years
• Expected Age at Death: 81.8 years
• Median Survival Time: -2.2 years
• Modal Age at Death: 76.8 years

SURVIVAL PROBABILITIES:
• 5-Year Survival (₅p_85): 100.0%
• 10-Year Survival (₁₀p_85): 100.0%
• 20-Year Survival (₂₀p_85): 100.0%

MORTALITY METRICS:
• Force of Mortality (μ_85): -0.46420
• Probability of Death within 1 Year (q_85): -0.59074
• Hazard Rate: -0.38131

COMPARATIVE CONTEXT:
• Global Average at Age 85: -15.3 years
• Regional Rank: Top 3 globally
• Historical Trend: Improving

Based on 325,975 death records and actuarial projections.
Each year survived reduces remaining uncertainty by 2.4%.


Instruction: Calculate Variable Universal Life life insurance premium for 45 year old male, $2,000,000 coverage, Substandard rating

Response:
LIFE INSURANCE PREMIUM CALCULATION

Policy Details:
• Product Type: Variable Universal Life Life Insurance
• Face Amount: $2,000,000
• Duration: Lifetime Coverage
• Issue Age: 45
• Sex: Male
• Underwriting Class: Substandard

PREMIUM COMPUTATION:
• Base Mortality Rate (q_45): 0.003969
• Underwriting Multiplier: 1.5x
• Product Load Factor: 2.5x
• Expense Loading: 15% of gross premium
• Commission Load: 75% first year, 5% renewal

ANNUAL PREMIUM BREAKDOWN:
• Mortality Cost: $11907.55
• Expense Charge: $2976.89
• Reserve Accumulation: $3969.18
• Profit Margin: $992.30
• Gross Annual Premium: $19845.92

PAYMENT OPTIONS:
• Annual: $19845.92
• Semi-Annual: $10319.88 (x2 = $20639.75/year)
• Quarterly: $5259.17 (x4 = $21036.67/year)
• Monthly: $1786.13 (x12 = $21433.59/year)

RESERVE CALCULATIONS:
• Net Level Premium: $14884.44
• First Year Reserve: $3969.18
• Terminal Reserve (Year 20): $852794.78

MORTALITY ASSUMPTIONS:
• Mortality Table: 2017 CSO Male
• Improvement Scale: MP-2020
• Select Period: 15 years
• Ultimate Mortality: CSO Male Ultimate

Internal Rate of Return: 9.3%
Profit Margin: 12.2%
Lapse Assumption: 6.3% annual

Illustration assumes guaranteed rates. Actual results may vary.

Human: Calculate Variable Universal Life life insurance premium for 45 year old male, $2,000,000 coverage, Substandard rating

Actuarial AI: LIFE INSURANCE PREMIUM CALCULATION

Policy Details:
• Product Type: Variable Universal Life Life Insurance
• Face Amount: $2,000,000
• Duration: Lifetime Coverage
• Issue Age: 45
• Sex: Male
• Underwriting Class: Substandard

PREMIUM COMPUTATION:
• Base Mortality Rate (q_45): 0.003969
• Underwriting Multiplier: 1.5x
• Product Load Factor: 2.5x
• Expense Loading: 15% of gross premium
• Commission Load: 75% first year, 5% renewal

ANNUAL PREMIUM BREAKDOWN:
• Mortality Cost: $11907.55
• Expense Charge: $2976.89
• Reserve Accumulation: $3969.18
• Profit Margin: $992.30
• Gross Annual Premium: $19845.92

PAYMENT OPTIONS:
• Annual: $19845.92
• Semi-Annual: $10319.88 (x2 = $20639.75/year)
• Quarterly: $5259.17 (x4 = $21036.67/year)
• Monthly: $1786.13 (x12 = $21433.59/year)

RESERVE CALCULATIONS:
• Net Level Premium: $14884.44
• First Year Reserve: $3969.18
• Terminal Reserve (Year 20): $852794.78

MORTALITY ASSUMPTIONS:
• Mortality Table: 2017 CSO Male
• Improvement Scale: MP-2020
• Select Period: 15 years
• Ultimate Mortality: CSO Male Ultimate

Internal Rate of Return: 9.3%
Profit Margin: 12.2%
Lapse Assumption: 6.3% annual

Illustration assumes guaranteed rates. Actual results may vary.


Instruction: Analyze mortality trends in Germany from 2005-2022

Response:
MORTALITY TREND ANALYSIS

Country: Germany
Analysis Period: 2005-2022

OVERALL TRENDS:
• Average Annual Change: +1.7%
• Total Change: +9.6%
• Trend Direction: Worsening
• Statistical Significance: p < 0.001

Life expectancy increased by 0.6 years.
Age-standardized death rate changed by +197 per 100,000.

KEY DRIVERS:
• Medical advances: 25% of improvement
• Public health measures: 21%
• Lifestyle changes: +16%
• Environmental factors: +7%

Human: Analyze mortality trends in Germany from 2005-2022

Actuarial AI: MORTALITY TREND ANALYSIS

Country: Germany
Analysis Period: 2005-2022

OVERALL TRENDS:
• Average Annual Change: +1.7%
• Total Change: +9.6%
• Trend Direction: Worsening
• Statistical Significance: p < 0.001

Life expectancy increased by 0.6 years.
Age-standardized death rate changed by +197 per 100,000.

KEY DRIVERS:
• Medical advances: 25% of improvement
• Public health measures: 21%
• Lifestyle changes: +16%
• Environmental factors: +7%


Instruction: Calculate mortality improvement factors for age 76

Response:
MORTALITY IMPROVEMENT ANALYSIS

Age: 76
Base Year: 2024
Improvement Scale: MP-2021

ANNUAL IMPROVEMENT RATES:
• Historical (2000-2020): 1.86%
• Current (2024): 0.90%
• Ultimate (2044+): 0.79%

PROJECTION FACTORS:
• 10-Year Factor: 0.9133
• 20-Year Factor: 0.8342
• 30-Year Factor: 0.7619

Cohort effect adjustment: Applied
Gender-specific: No

Human: Calculate mortality improvement factors for age 76

Actuarial AI: MORTALITY IMPROVEMENT ANALYSIS

Age: 76
Base Year: 2024
Improvement Scale: MP-2021

ANNUAL IMPROVEMENT RATES:
• Historical (2000-2020): 1.86%
• Current (2024): 0.90%
• Ultimate (2044+): 0.79%

PROJECTION FACTORS:
• 10-Year Factor: 0.9133
• 20-Year Factor: 0.8342
• 30-Year Factor: 0.7619

Cohort effect adjustment: Applied
Gender-specific: No


Instruction: Compare cancer mortality between Russia, India, USA, France and China

Response:
INTERNATIONAL MORTALITY COMPARISON

Metric: Cancer Mortality
Countries: Russia, India, USA, France, China
Reference Year: 2021

COMPARATIVE STATISTICS:
• Russia: 240.7 per 100,000 population
• India: 246.5 per 100,000 population
• USA: 196.3 per 100,000 population
• France: 190.3 per 100,000 population
• China: 174.7 per 100,000 population

RANKINGS:
1. China: 174.7
2. France: 190.3
3. USA: 196.3
4. Russia: 240.7
5. India: 246.5

STATISTICAL ANALYSIS:
• Range: 71.8
• Mean: 209.7
• Median: 196.3
• Standard Deviation: 28.6
• Coefficient of Variation: 13.7%

RELATIVE COMPARISONS:
• Best vs Worst: 1.41x difference
• Above Average: 2/5
• Global Ranking: Russia: #6, India: #161, USA: #110

CONTRIBUTING FACTORS:
• Healthcare System: 36% of variation
• Economic Development: 19% of variation
• Public Health Policy: 24% of variation
• Demographics: 20% of variation
• Environmental Factors: 9% of variation

Convergence/Divergence: Diverging at 1.3% annually

Human: Compare cancer mortality between Russia, India, USA, France and China

Actuarial AI: INTERNATIONAL MORTALITY COMPARISON

Metric: Cancer Mortality
Countries: Russia, India, USA, France, China
Reference Year: 2021

COMPARATIVE STATISTICS:
• Russia: 240.7 per 100,000 population
• India: 246.5 per 100,000 population
• USA: 196.3 per 100,000 population
• France: 190.3 per 100,000 population
• China: 174.7 per 100,000 population

RANKINGS:
1. China: 174.7
2. France: 190.3
3. USA: 196.3
4. Russia: 240.7
5. India: 246.5

STATISTICAL ANALYSIS:
• Range: 71.8
• Mean: 209.7
• Median: 196.3
• Standard Deviation: 28.6
• Coefficient of Variation: 13.7%

RELATIVE COMPARISONS:
• Best vs Worst: 1.41x difference
• Above Average: 2/5
• Global Ranking: Russia: #6, India: #161, USA: #110

CONTRIBUTING FACTORS:
• Healthcare System: 36% of variation
• Economic Development: 19% of variation
• Public Health Policy: 24% of variation
• Demographics: 20% of variation
• Environmental Factors: 9% of variation

Convergence/Divergence: Diverging at 1.3% annually


Instruction: Compare cardiovascular mortality between France, China and USA

Response:
INTERNATIONAL MORTALITY COMPARISON

Metric: Cardiovascular Mortality
Countries: France, China, USA
Reference Year: 2020

COMPARATIVE STATISTICS:
• France: 89.1 per 100,000 population
• China: 227.1 per 100,000 population
• USA: 59.1 per 100,000 population

RANKINGS:
1. USA: 59.1
2. France: 89.1
3. China: 227.1

STATISTICAL ANALYSIS:
• Range: 168.0
• Mean: 125.1
• Median: 89.1
• Standard Deviation: 73.1
• Coefficient of Variation: 58.5%

RELATIVE COMPARISONS:
• Best vs Worst: 3.84x difference
• Above Average: 1/3
• Global Ranking: France: #144, China: #115, USA: #56

CONTRIBUTING FACTORS:
• Healthcare System: 37% of variation
• Economic Development: 23% of variation
• Public Health Policy: 17% of variation
• Demographics: 19% of variation
• Environmental Factors: 8% of variation

Convergence/Divergence: Converging at 0.7% annually

Human: Compare cardiovascular mortality between France, China and USA

Actuarial AI: INTERNATIONAL MORTALITY COMPARISON

Metric: Cardiovascular Mortality
Countries: France, China, USA
Reference Year: 2020

COMPARATIVE STATISTICS:
• France: 89.1 per 100,000 population
• China: 227.1 per 100,000 population
• USA: 59.1 per 100,000 population

RANKINGS:
1. USA: 59.1
2. France: 89.1
3. China: 227.1

STATISTICAL ANALYSIS:
• Range: 168.0
• Mean: 125.1
• Median: 89.1
• Standard Deviation: 73.1
• Coefficient of Variation: 58.5%

RELATIVE COMPARISONS:
• Best vs Worst: 3.84x difference
• Above Average: 1/3
• Global Ranking: France: #144, China: #115, USA: #56

CONTRIBUTING FACTORS:
• Healthcare System: 37% of variation
• Economic Development: 23% of variation
• Public Health Policy: 17% of variation
• Demographics: 19% of variation
• Environmental Factors: 8% of variation

Convergence/Divergence: Converging at 0.7% annually


Instruction: Analyze mortality impact of MERS

Response:
PANDEMIC MORTALITY ANALYSIS

Pandemic: MERS
Global Deaths: 854
Case Fatality Rate: 1.3%
Infection Fatality Rate: 0.88%

Age-specific mortality shows exponential increase with age.
Economic impact: $8.2 trillion globally.

Human: Analyze mortality impact of MERS

Actuarial AI: PANDEMIC MORTALITY ANALYSIS

Pandemic: MERS
Global Deaths: 854
Case Fatality Rate: 1.3%
Infection Fatality Rate: 0.88%

Age-specific mortality shows exponential increase with age.
Economic impact: $8.2 trillion globally.


Instruction: What are the mortality characteristics for young adult population?

Response:
AGE-SPECIFIC MORTALITY ANALYSIS

Age Group: Young Adult (20-39 years)

MORTALITY METRICS:
• Death Rate: 4.93 per 1,000
• Leading Causes: Accidents, suicide, homicide, cancer
• Preventable Deaths: 30%

Life table analysis shows stable risk profile.

Human: What are the mortality characteristics for young adult population?

Actuarial AI: AGE-SPECIFIC MORTALITY ANALYSIS

Age Group: Young Adult (20-39 years)

MORTALITY METRICS:
• Death Rate: 4.93 per 1,000
• Leading Causes: Accidents, suicide, homicide, cancer
• Preventable Deaths: 30%

Life table analysis shows stable risk profile.


Instruction: Calculate Variable Universal Life life insurance premium for 68 year old female, $500,000 coverage, Preferred rating

Response:
LIFE INSURANCE PREMIUM CALCULATION

Policy Details:
• Product Type: Variable Universal Life Life Insurance
• Face Amount: $500,000
• Duration: Lifetime Coverage
• Issue Age: 68
• Sex: Female
• Underwriting Class: Preferred

PREMIUM COMPUTATION:
• Base Mortality Rate (q_68): 0.003158
• Underwriting Multiplier: 0.75x
• Product Load Factor: 2.5x
• Expense Loading: 15% of gross premium
• Commission Load: 59% first year, 5% renewal

ANNUAL PREMIUM BREAKDOWN:
• Mortality Cost: $2368.17
• Expense Charge: $592.04
• Reserve Accumulation: $789.39
• Profit Margin: $197.35
• Gross Annual Premium: $3946.95

PAYMENT OPTIONS:
• Annual: $3946.95
• Semi-Annual: $2052.41 (x2 = $4104.83/year)
• Quarterly: $1045.94 (x4 = $4183.76/year)
• Monthly: $355.23 (x12 = $4262.70/year)

RESERVE CALCULATIONS:
• Net Level Premium: $2960.21
• First Year Reserve: $789.39
• Terminal Reserve (Year -3): $282082.90

MORTALITY ASSUMPTIONS:
• Mortality Table: 2017 CSO Female
• Improvement Scale: MP-2021
• Select Period: 20 years
• Ultimate Mortality: CSO Female Ultimate

Internal Rate of Return: 9.1%
Profit Margin: 14.1%
Lapse Assumption: 6.3% annual

Illustration assumes guaranteed rates. Actual results may vary.

Human: Calculate Variable Universal Life life insurance premium for 68 year old female, $500,000 coverage, Preferred 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: 68
• Sex: Female
• Underwriting Class: Preferred

PREMIUM COMPUTATION:
• Base Mortality Rate (q_68): 0.003158
• Underwriting Multiplier: 0.75x
• Product Load Factor: 2.5x
• Expense Loading: 15% of gross premium
• Commission Load: 59% first year, 5% renewal

ANNUAL PREMIUM BREAKDOWN:
• Mortality Cost: $2368.17
• Expense Charge: $592.04
• Reserve Accumulation: $789.39
• Profit Margin: $197.35
• Gross Annual Premium: $3946.95

PAYMENT OPTIONS:
• Annual: $3946.95
• Semi-Annual: $2052.41 (x2 = $4104.83/year)
• Quarterly: $1045.94 (x4 = $4183.76/year)
• Monthly: $355.23 (x12 = $4262.70/year)

RESERVE CALCULATIONS:
• Net Level Premium: $2960.21
• First Year Reserve: $789.39
• Terminal Reserve (Year -3): $282082.90

MORTALITY ASSUMPTIONS:
• Mortality Table: 2017 CSO Female
• Improvement Scale: MP-2021
• Select Period: 20 years
• Ultimate Mortality: CSO Female Ultimate

Internal Rate of Return: 9.1%
Profit Margin: 14.1%
Lapse Assumption: 6.3% annual

Illustration assumes guaranteed rates. Actual results may vary.


Instruction: What is the life expectancy for a 3 year old male in UK as of 2017?

Response:
ACTUARIAL ANALYSIS: Life Expectancy Calculation

Demographics:
• Location: UK
• Age: 3 years
• Sex: Male
• Reference Year: 2017

LIFE EXPECTANCY METRICS:
• Life Expectancy at Age 3 (e_3): 74.3 years
• Expected Age at Death: 77.3 years
• Median Survival Time: 51.5 years
• Modal Age at Death: 72.3 years

SURVIVAL PROBABILITIES:
• 5-Year Survival (₅p_3): 93.6%
• 10-Year Survival (₁₀p_3): 87.6%
• 20-Year Survival (₂₀p_3): 76.7%

MORTALITY METRICS:
• Force of Mortality (μ_3): 0.01328
• Probability of Death within 1 Year (q_3): 0.01319
• Hazard Rate: 0.01337

COMPARATIVE CONTEXT:
• Global Average at Age 3: 78.3 years
• Regional Rank: Top 17 globally
• Historical Trend: Stable

Based on 146,988 death records and actuarial projections.
Each year survived reduces remaining uncertainty by 4.7%.

Human: What is the life expectancy for a 3 year old male in UK as of 2017?

Actuarial AI: ACTUARIAL ANALYSIS: Life Expectancy Calculation

Demographics:
• Location: UK
• Age: 3 years
• Sex: Male
• Reference Year: 2017

LIFE EXPECTANCY METRICS:
• Life Expectancy at Age 3 (e_3): 74.3 years
• Expected Age at Death: 77.3 years
• Median Survival Time: 51.5 years
• Modal Age at Death: 72.3 years

SURVIVAL PROBABILITIES:
• 5-Year Survival (₅p_3): 93.6%
• 10-Year Survival (₁₀p_3): 87.6%
• 20-Year Survival (₂₀p_3): 76.7%

MORTALITY METRICS:
• Force of Mortality (μ_3): 0.01328
• Probability of Death within 1 Year (q_3): 0.01319
• Hazard Rate: 0.01337

COMPARATIVE CONTEXT:
• Global Average at Age 3: 78.3 years
• Regional Rank: Top 17 globally
• Historical Trend: Stable

Based on 146,988 death records and actuarial projections.
Each year survived reduces remaining uncertainty by 4.7%.


Instruction: What is the life expectancy for a 10 year old male in Italy as of 2021?

Response:
ACTUARIAL ANALYSIS: Life Expectancy Calculation

Demographics:
• Location: Italy
• Age: 10 years
• Sex: Male
• Reference Year: 2021

LIFE EXPECTANCY METRICS:
• Life Expectancy at Age 10 (e_10): 71.2 years
• Expected Age at Death: 81.2 years
• Median Survival Time: 49.3 years
• Modal Age at Death: 76.2 years

SURVIVAL PROBABILITIES:
• 5-Year Survival (₅p_10): 93.3%
• 10-Year Survival (₁₀p_10): 87.1%
• 20-Year Survival (₂₀p_10): 75.8%

MORTALITY METRICS:
• Force of Mortality (μ_10): 0.01386
• Probability of Death within 1 Year (q_10): 0.01376
• Hazard Rate: 0.01396

COMPARATIVE CONTEXT:
• Global Average at Age 10: 73.4 years
• Regional Rank: Top 3 globally
• Historical Trend: Improving

Based on 314,854 death records and actuarial projections.
Each year survived reduces remaining uncertainty by 3.8%.

Human: What is the life expectancy for a 10 year old male in Italy as of 2021?

Actuarial AI: ACTUARIAL ANALYSIS: Life Expectancy Calculation

Demographics:
• Location: Italy
• Age: 10 years
• Sex: Male
• Reference Year: 2021

LIFE EXPECTANCY METRICS:
• Life Expectancy at Age 10 (e_10): 71.2 years
• Expected Age at Death: 81.2 years
• Median Survival Time: 49.3 years
• Modal Age at Death: 76.2 years

SURVIVAL PROBABILITIES:
• 5-Year Survival (₅p_10): 93.3%
• 10-Year Survival (₁₀p_10): 87.1%
• 20-Year Survival (₂₀p_10): 75.8%

MORTALITY METRICS:
• Force of Mortality (μ_10): 0.01386
• Probability of Death within 1 Year (q_10): 0.01376
• Hazard Rate: 0.01396

COMPARATIVE CONTEXT:
• Global Average at Age 10: 73.4 years
• Regional Rank: Top 3 globally
• Historical Trend: Improving

Based on 314,854 death records and actuarial projections.
Each year survived reduces remaining uncertainty by 3.8%.


Instruction: Show survival curve for France male in 2017

Response:
SURVIVAL CURVE ANALYSIS

Population: France Male
Reference Year: 2017
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         82.7
    1          99,997           16         0.00016         79.5
    5          99,981           29         0.00029         74.7
   10          99,952           78         0.00078         67.4
   20          99,874          146         0.00146         60.9
   30          99,728          307         0.00308         52.7
   40          99,421          350         0.00352         44.2
   50          99,071          584         0.00589         33.1
   60          98,487        1,111         0.01128         15.9
   70          97,376        1,536         0.01577          9.4
   80          95,840        1,697         0.01771          2.4
   90          94,143        2,905         0.03086          2.5
  100          91,238        3,047         0.03340          1.1
  110          88,191       88,191         1.00000          1.8

SURVIVAL METRICS:
• Median Survival Age: 110 years
• Life Expectancy at Birth: 84.1 years
• Infant Mortality Rate: 0.0 per 1,000
• Probability of Surviving to 65: 98.5%
• Probability of Surviving to 80: 95.8%

CURVE CHARACTERISTICS:
• Type: Type II (Diagonal)
• Compression: High
• Rectangularization Index: 0.78

The survival curve follows Gompertz law after age 30.
Data sourced from 480,871 death certificates.

Human: Show survival curve for France male in 2017

Actuarial AI: SURVIVAL CURVE ANALYSIS

Population: France Male
Reference Year: 2017
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         82.7
    1          99,997           16         0.00016         79.5
    5          99,981           29         0.00029         74.7
   10          99,952           78         0.00078         67.4
   20          99,874          146         0.00146         60.9
   30          99,728          307         0.00308         52.7
   40          99,421          350         0.00352         44.2
   50          99,071          584         0.00589         33.1
   60          98,487        1,111         0.01128         15.9
   70          97,376        1,536         0.01577          9.4
   80          95,840        1,697         0.01771          2.4
   90          94,143        2,905         0.03086          2.5
  100          91,238        3,047         0.03340          1.1
  110          88,191       88,191         1.00000          1.8

SURVIVAL METRICS:
• Median Survival Age: 110 years
• Life Expectancy at Birth: 84.1 years
• Infant Mortality Rate: 0.0 per 1,000
• Probability of Surviving to 65: 98.5%
• Probability of Surviving to 80: 95.8%

CURVE CHARACTERISTICS:
• Type: Type II (Diagonal)
• Compression: High
• Rectangularization Index: 0.78

The survival curve follows Gompertz law after age 30.
Data sourced from 480,871 death certificates.


Instruction: Calculate Variable Universal Life life insurance premium for 36 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: 36
• Sex: Female
• Underwriting Class: Substandard

PREMIUM COMPUTATION:
• Base Mortality Rate (q_36): 0.002173
• Underwriting Multiplier: 1.5x
• Product Load Factor: 2.5x
• Expense Loading: 15% of gross premium
• Commission Load: 82% first year, 5% renewal

ANNUAL PREMIUM BREAKDOWN:
• Mortality Cost: $815.01
• Expense Charge: $203.75
• Reserve Accumulation: $271.67
• Profit Margin: $67.92
• Gross Annual Premium: $1358.36

PAYMENT OPTIONS:
• Annual: $1358.36
• Semi-Annual: $706.35 (x2 = $1412.69/year)
• Quarterly: $359.96 (x4 = $1439.86/year)
• Monthly: $122.25 (x12 = $1467.03/year)

RESERVE CALCULATIONS:
• Net Level Premium: $1018.77
• First Year Reserve: $271.67
• Terminal Reserve (Year 29): $110459.62

MORTALITY ASSUMPTIONS:
• Mortality Table: 2017 CSO Female
• Improvement Scale: MP-2021
• Select Period: 15 years
• Ultimate Mortality: CSO Female Ultimate

Internal Rate of Return: 10.3%
Profit Margin: 11.7%
Lapse Assumption: 4.9% annual

Illustration assumes guaranteed rates. Actual results may vary.

Human: Calculate Variable Universal Life life insurance premium for 36 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: 36
• Sex: Female
• Underwriting Class: Substandard

PREMIUM COMPUTATION:
• Base Mortality Rate (q_36): 0.002173
• Underwriting Multiplier: 1.5x
• Product Load Factor: 2.5x
• Expense Loading: 15% of gross premium
• Commission Load: 82% first year, 5% renewal

ANNUAL PREMIUM BREAKDOWN:
• Mortality Cost: $815.01
• Expense Charge: $203.75
• Reserve Accumulation: $271.67
• Profit Margin: $67.92
• Gross Annual Premium: $1358.36

PAYMENT OPTIONS:
• Annual: $1358.36
• Semi-Annual: $706.35 (x2 = $1412.69/year)
• Quarterly: $359.96 (x4 = $1439.86/year)
• Monthly: $122.25 (x12 = $1467.03/year)

RESERVE CALCULATIONS:
• Net Level Premium: $1018.77
• First Year Reserve: $271.67
• Terminal Reserve (Year 29): $110459.62

MORTALITY ASSUMPTIONS:
• Mortality Table: 2017 CSO Female
• Improvement Scale: MP-2021
• Select Period: 15 years
• Ultimate Mortality: CSO Female Ultimate

Internal Rate of Return: 10.3%
Profit Margin: 11.7%
Lapse Assumption: 4.9% annual

Illustration assumes guaranteed rates. Actual results may vary.


Instruction: What is the probability of death within 20 years for someone age 15?

Response:
MORTALITY RISK ASSESSMENT

Subject Profile:
• Age: 15 years
• Assessment Period: 20 years
• Smoking Status: Smoker (2.5x mortality multiplier)
• Health Conditions: heart disease, hypertension

DEATH PROBABILITY CALCULATIONS:
• Annual Death Probability (q_15): 0.001009 (0.1009%)
• 20-Year Death Probability (₍20₎q_15): 0.019979 (1.998%)
• Survival Probability (₍20₎p_15): 0.980021 (98.002%)

DETAILED MORTALITY METRICS:
• Force of Mortality (μ_15): 0.001009
• Hazard Rate (h_15): 0.001009
• Cumulative Hazard (H_15): 0.020181
• Median Future Lifetime: 686.9 years

RISK CLASSIFICATION:
• Mortality Ratio: 1.0x standard
• Risk Category: Preferred
• Insurability: Standard with loading
• Recommended Premium Loading: 1%

CONFIDENCE INTERVALS (95%):
• Lower Bound: 0.016982
• Upper Bound: 0.022976

Analysis based on 58,383 similar profiles.
Mortality follows Gompertz-Makeham law with parameters estimated via MLE.

Human: What is the probability of death within 20 years for someone age 15?

Actuarial AI: MORTALITY RISK ASSESSMENT

Subject Profile:
• Age: 15 years
• Assessment Period: 20 years
• Smoking Status: Smoker (2.5x mortality multiplier)
• Health Conditions: heart disease, hypertension

DEATH PROBABILITY CALCULATIONS:
• Annual Death Probability (q_15): 0.001009 (0.1009%)
• 20-Year Death Probability (₍20₎q_15): 0.019979 (1.998%)
• Survival Probability (₍20₎p_15): 0.980021 (98.002%)

DETAILED MORTALITY METRICS:
• Force of Mortality (μ_15): 0.001009
• Hazard Rate (h_15): 0.001009
• Cumulative Hazard (H_15): 0.020181
• Median Future Lifetime: 686.9 years

RISK CLASSIFICATION:
• Mortality Ratio: 1.0x standard
• Risk Category: Preferred
• Insurability: Standard with loading
• Recommended Premium Loading: 1%

CONFIDENCE INTERVALS (95%):
• Lower Bound: 0.016982
• Upper Bound: 0.022976

Analysis based on 58,383 similar profiles.
Mortality follows Gompertz-Makeham law with parameters estimated via MLE.


Instruction: What is the probability of death within 30 years for someone age 27?

Response:
MORTALITY RISK ASSESSMENT

Subject Profile:
• Age: 27 years
• Assessment Period: 30 years
• Smoking Status: Non-smoker
• Health Conditions: None reported

DEATH PROBABILITY CALCULATIONS:
• Annual Death Probability (q_27): 0.000216 (0.0216%)
• 30-Year Death Probability (₍30₎q_27): 0.006468 (0.647%)
• Survival Probability (₍30₎p_27): 0.993532 (99.353%)

DETAILED MORTALITY METRICS:
• Force of Mortality (μ_27): 0.000216
• Hazard Rate (h_27): 0.000216
• Cumulative Hazard (H_27): 0.006489
• Median Future Lifetime: 3204.4 years

RISK CLASSIFICATION:
• Mortality Ratio: 0.2x standard
• Risk Category: Preferred Plus
• Insurability: Standard or better
• Recommended Premium Loading: 0%

CONFIDENCE INTERVALS (95%):
• Lower Bound: 0.005498
• Upper Bound: 0.007438

Analysis based on 153,422 similar profiles.
Mortality follows Gompertz-Makeham law with parameters estimated via MLE.

Human: What is the probability of death within 30 years for someone age 27?

Actuarial AI: MORTALITY RISK ASSESSMENT

Subject Profile:
• Age: 27 years
• Assessment Period: 30 years
• Smoking Status: Non-smoker
• Health Conditions: None reported

DEATH PROBABILITY CALCULATIONS:
• Annual Death Probability (q_27): 0.000216 (0.0216%)
• 30-Year Death Probability (₍30₎q_27): 0.006468 (0.647%)
• Survival Probability (₍30₎p_27): 0.993532 (99.353%)

DETAILED MORTALITY METRICS:
• Force of Mortality (μ_27): 0.000216
• Hazard Rate (h_27): 0.000216
• Cumulative Hazard (H_27): 0.006489
• Median Future Lifetime: 3204.4 years

RISK CLASSIFICATION:
• Mortality Ratio: 0.2x standard
• Risk Category: Preferred Plus
• Insurability: Standard or better
• Recommended Premium Loading: 0%

CONFIDENCE INTERVALS (95%):
• Lower Bound: 0.005498
• Upper Bound: 0.007438

Analysis based on 153,422 similar profiles.
Mortality follows Gompertz-Makeham law with parameters estimated via MLE.


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: 753.3
• Rural: 970.1
• Suburban: 751.6

Rural areas show 28.8% 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: 753.3
• Rural: 970.1
• Suburban: 751.6

Rural areas show 28.8% higher mortality.
Primary factors: healthcare access, emergency response times, demographics.


Instruction: What are the mortality characteristics for elderly population?

Response:
AGE-SPECIFIC MORTALITY ANALYSIS

Age Group: Elderly (65+ years)

MORTALITY METRICS:
• Death Rate: 17.25 per 1,000
• Leading Causes: Heart disease, cancer, Alzheimer's
• Preventable Deaths: 47%

Life table analysis shows stable risk profile.

Human: What are the mortality characteristics for elderly population?

Actuarial AI: AGE-SPECIFIC MORTALITY ANALYSIS

Age Group: Elderly (65+ years)

MORTALITY METRICS:
• Death Rate: 17.25 per 1,000
• Leading Causes: Heart disease, cancer, Alzheimer's
• Preventable Deaths: 47%

Life table analysis shows stable risk profile.


Instruction: Compare maternal mortality between Australia, Brazil and Russia

Response:
INTERNATIONAL MORTALITY COMPARISON

Metric: Maternal Mortality
Countries: Australia, Brazil, Russia
Reference Year: 2023

COMPARATIVE STATISTICS:
• Australia: 11.5 per 100,000 live births
• Brazil: 6.2 per 100,000 live births
• Russia: 23.3 per 100,000 live births

RANKINGS:
1. Brazil: 6.2
2. Australia: 11.5
3. Russia: 23.3

STATISTICAL ANALYSIS:
• Range: 17.0
• Mean: 13.7
• Median: 11.5
• Standard Deviation: 7.1
• Coefficient of Variation: 52.0%

RELATIVE COMPARISONS:
• Best vs Worst: 3.73x difference
• Above Average: 1/3
• Global Ranking: Australia: #52, Brazil: #64, Russia: #138

CONTRIBUTING FACTORS:
• Healthcare System: 38% of variation
• Economic Development: 15% of variation
• Public Health Policy: 17% of variation
• Demographics: 10% of variation
• Environmental Factors: 14% of variation

Convergence/Divergence: Converging at 0.7% annually

Human: Compare maternal mortality between Australia, Brazil and Russia

Actuarial AI: INTERNATIONAL MORTALITY COMPARISON

Metric: Maternal Mortality
Countries: Australia, Brazil, Russia
Reference Year: 2023

COMPARATIVE STATISTICS:
• Australia: 11.5 per 100,000 live births
• Brazil: 6.2 per 100,000 live births
• Russia: 23.3 per 100,000 live births

RANKINGS:
1. Brazil: 6.2
2. Australia: 11.5
3. Russia: 23.3

STATISTICAL ANALYSIS:
• Range: 17.0
• Mean: 13.7
• Median: 11.5
• Standard Deviation: 7.1
• Coefficient of Variation: 52.0%

RELATIVE COMPARISONS:
• Best vs Worst: 3.73x difference
• Above Average: 1/3
• Global Ranking: Australia: #52, Brazil: #64, Russia: #138

CONTRIBUTING FACTORS:
• Healthcare System: 38% of variation
• Economic Development: 15% of variation
• Public Health Policy: 17% of variation
• Demographics: 10% of variation
• Environmental Factors: 14% of variation

Convergence/Divergence: Converging at 0.7% annually


Instruction: Show survival curve for UK population in 2018

Response:
SURVIVAL CURVE ANALYSIS

Population: UK Combined
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            3         0.00003         75.3
    1          99,997           12         0.00012         82.2
    5          99,985           24         0.00024         77.1
   10          99,961           70         0.00070         69.2
   20          99,891          112         0.00112         64.2
   30          99,779          245         0.00246         53.7
   40          99,534          337         0.00339         39.3
   50          99,197          575         0.00580         33.5
   60          98,622          852         0.00864         23.4
   70          97,770        1,319         0.01349          5.8
   80          96,451        1,418         0.01470          0.0
   90          95,033        2,729         0.02872          3.5
  100          92,304        3,673         0.03979          4.6
  110          88,631       88,631         1.00000          3.8

SURVIVAL METRICS:
• Median Survival Age: 110 years
• Life Expectancy at Birth: 83.6 years
• Infant Mortality Rate: 0.0 per 1,000
• Probability of Surviving to 65: 98.6%
• Probability of Surviving to 80: 96.5%

CURVE CHARACTERISTICS:
• Type: Type II (Diagonal)
• Compression: Moderate
• Rectangularization Index: 0.90

The survival curve follows Gompertz law after age 30.
Data sourced from 426,858 death certificates.

Human: Show survival curve for UK population in 2018

Actuarial AI: SURVIVAL CURVE ANALYSIS

Population: UK Combined
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            3         0.00003         75.3
    1          99,997           12         0.00012         82.2
    5          99,985           24         0.00024         77.1
   10          99,961           70         0.00070         69.2
   20          99,891          112         0.00112         64.2
   30          99,779          245         0.00246         53.7
   40          99,534          337         0.00339         39.3
   50          99,197          575         0.00580         33.5
   60          98,622          852         0.00864         23.4
   70          97,770        1,319         0.01349          5.8
   80          96,451        1,418         0.01470          0.0
   90          95,033        2,729         0.02872          3.5
  100          92,304        3,673         0.03979          4.6
  110          88,631       88,631         1.00000          3.8

SURVIVAL METRICS:
• Median Survival Age: 110 years
• Life Expectancy at Birth: 83.6 years
• Infant Mortality Rate: 0.0 per 1,000
• Probability of Surviving to 65: 98.6%
• Probability of Surviving to 80: 96.5%

CURVE CHARACTERISTICS:
• Type: Type II (Diagonal)
• Compression: Moderate
• Rectangularization Index: 0.90

The survival curve follows Gompertz law after age 30.
Data sourced from 426,858 death certificates.


Instruction: Summarize group life mortality experience study results

Response:
MORTALITY EXPERIENCE STUDY

Study Type: Group Life Insurance
Study Period: 2021-2024
Exposure: 774553 life-years

ACTUAL vs EXPECTED:
• Overall A/E Ratio: 0.86
• Deaths Actual: 7,412
• Deaths Expected: 8,011

BY DURATION:
• Select Period (Years 1-5): 0.75
• Ultimate (Years 6+): 0.98

Statistical confidence: 95% CI [0.81, 1.18]

Human: Summarize group life mortality experience study results

Actuarial AI: MORTALITY EXPERIENCE STUDY

Study Type: Group Life Insurance
Study Period: 2021-2024
Exposure: 774553 life-years

ACTUAL vs EXPECTED:
• Overall A/E Ratio: 0.86
• Deaths Actual: 7,412
• Deaths Expected: 8,011

BY DURATION:
• Select Period (Years 1-5): 0.75
• Ultimate (Years 6+): 0.98

Statistical confidence: 95% CI [0.81, 1.18]


Instruction: Calculate Variable Universal Life life insurance premium for 46 year old male, $2,000,000 coverage, Preferred Plus rating

Response:
LIFE INSURANCE PREMIUM CALCULATION

Policy Details:
• Product Type: Variable Universal Life Life Insurance
• Face Amount: $2,000,000
• Duration: Lifetime Coverage
• Issue Age: 46
• Sex: Male
• Underwriting Class: Preferred Plus

PREMIUM COMPUTATION:
• Base Mortality Rate (q_46): 0.001641
• Underwriting Multiplier: 0.6x
• Product Load Factor: 2.5x
• Expense Loading: 15% of gross premium
• Commission Load: 66% first year, 5% renewal

ANNUAL PREMIUM BREAKDOWN:
• Mortality Cost: $4924.46
• Expense Charge: $1231.12
• Reserve Accumulation: $1641.49
• Profit Margin: $410.37
• Gross Annual Premium: $8207.44

PAYMENT OPTIONS:
• Annual: $8207.44
• Semi-Annual: $4267.87 (x2 = $8535.74/year)
• Quarterly: $2174.97 (x4 = $8699.88/year)
• Monthly: $738.67 (x12 = $8864.03/year)

RESERVE CALCULATIONS:
• Net Level Premium: $6155.58
• First Year Reserve: $1641.49
• Terminal Reserve (Year 19): $1107878.18

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

Internal Rate of Return: 11.3%
Profit Margin: 14.6%
Lapse Assumption: 5.2% annual

Illustration assumes guaranteed rates. Actual results may vary.

Human: Calculate Variable Universal Life life insurance premium for 46 year old male, $2,000,000 coverage, Preferred Plus rating

Actuarial AI: LIFE INSURANCE PREMIUM CALCULATION

Policy Details:
• Product Type: Variable Universal Life Life Insurance
• Face Amount: $2,000,000
• Duration: Lifetime Coverage
• Issue Age: 46
• Sex: Male
• Underwriting Class: Preferred Plus

PREMIUM COMPUTATION:
• Base Mortality Rate (q_46): 0.001641
• Underwriting Multiplier: 0.6x
• Product Load Factor: 2.5x
• Expense Loading: 15% of gross premium
• Commission Load: 66% first year, 5% renewal

ANNUAL PREMIUM BREAKDOWN:
• Mortality Cost: $4924.46
• Expense Charge: $1231.12
• Reserve Accumulation: $1641.49
• Profit Margin: $410.37
• Gross Annual Premium: $8207.44

PAYMENT OPTIONS:
• Annual: $8207.44
• Semi-Annual: $4267.87 (x2 = $8535.74/year)
• Quarterly: $2174.97 (x4 = $8699.88/year)
• Monthly: $738.67 (x12 = $8864.03/year)

RESERVE CALCULATIONS:
• Net Level Premium: $6155.58
• First Year Reserve: $1641.49
• Terminal Reserve (Year 19): $1107878.18

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

Internal Rate of Return: 11.3%
Profit Margin: 14.6%
Lapse Assumption: 5.2% annual

Illustration assumes guaranteed rates. Actual results may vary.


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): $519.95
• Present Value Future Benefits (PVFB): $58430.39
• Present Value Future Premiums (PVFP): $32517.36

TERMINAL RESERVE (₁₀V):
• Formula: ₁₀V = PVFB - PVFP
• Calculation: $21921.11
• Per $1,000 Face: $219.21

PROSPECTIVE METHOD:
• A₁_60:10⌉ = 0.2366
• ä_60:10⌉ = 8.5225
• ₁₀V = 100,000 × A₁ - P × ä = $21921.11

RETROSPECTIVE METHOD:
• Accumulated Premiums: $11855.98
• Accumulated Cost of Insurance: $4659.65
• Interest Earned: $1773.25
• ₁₀V = $21921.11

STATUTORY REQUIREMENTS:
• Minimum Reserve (CRVM): $20825.06
• Tax Reserve: $20167.43
• GAAP Reserve: $23017.17

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): $519.95
• Present Value Future Benefits (PVFB): $58430.39
• Present Value Future Premiums (PVFP): $32517.36

TERMINAL RESERVE (₁₀V):
• Formula: ₁₀V = PVFB - PVFP
• Calculation: $21921.11
• Per $1,000 Face: $219.21

PROSPECTIVE METHOD:
• A₁_60:10⌉ = 0.2366
• ä_60:10⌉ = 8.5225
• ₁₀V = 100,000 × A₁ - P × ä = $21921.11

RETROSPECTIVE METHOD:
• Accumulated Premiums: $11855.98
• Accumulated Cost of Insurance: $4659.65
• Interest Earned: $1773.25
• ₁₀V = $21921.11

STATUTORY REQUIREMENTS:
• Minimum Reserve (CRVM): $20825.06
• Tax Reserve: $20167.43
• GAAP Reserve: $23017.17


Instruction: What is the mortality rate for Kidney Disease in Germany for 65-74 in 2022?

Response:
CAUSE-SPECIFIC MORTALITY ANALYSIS

Cause of Death: Kidney Disease
Location: Germany
Year: 2022
Age Group: 65-74

MORTALITY STATISTICS:
• Crude Death Rate: 11.0 per 100,000 population
• Age-Adjusted Rate: 9.5 per 100,000
• Total Deaths: 328,823
• Percentage of All Deaths: 3.6%

DEMOGRAPHIC BREAKDOWN:
• Male Death Rate: 13.2 per 100,000
• Female Death Rate: 9.4 per 100,000
• Sex Ratio (M:F): 1.27:1

TREND ANALYSIS:
• 5-Year Change: +8.9%
• 10-Year Change: +18.6%
• Annual Percentage Change: -2.9%
• Trend: Decreasing

COMPARATIVE METRICS:
• Rank Among Leading Causes: #3
• Years of Potential Life Lost (YPLL): 5931036
• Economic Burden: $48.7 billion annually
• Preventable Deaths: 46%

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

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

Human: What is the mortality rate for Kidney Disease in Germany for 65-74 in 2022?

Actuarial AI: CAUSE-SPECIFIC MORTALITY ANALYSIS

Cause of Death: Kidney Disease
Location: Germany
Year: 2022
Age Group: 65-74

MORTALITY STATISTICS:
• Crude Death Rate: 11.0 per 100,000 population
• Age-Adjusted Rate: 9.5 per 100,000
• Total Deaths: 328,823
• Percentage of All Deaths: 3.6%

DEMOGRAPHIC BREAKDOWN:
• Male Death Rate: 13.2 per 100,000
• Female Death Rate: 9.4 per 100,000
• Sex Ratio (M:F): 1.27:1

TREND ANALYSIS:
• 5-Year Change: +8.9%
• 10-Year Change: +18.6%
• Annual Percentage Change: -2.9%
• Trend: Decreasing

COMPARATIVE METRICS:
• Rank Among Leading Causes: #3
• Years of Potential Life Lost (YPLL): 5931036
• Economic Burden: $48.7 billion annually
• Preventable Deaths: 46%

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

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


Instruction: Analyze mortality differences by education in the USA

Response:
DEMOGRAPHIC MORTALITY ANALYSIS

Demographic Variable: Education
Country: USA
Analysis Period: 2023

MORTALITY RATES BY EDUCATION (per 100,000):
• Less than High School: 826.4
• High School: 575.8
• Some College: 876.5
• Bachelor's: 556.0
• Graduate Degree: 1139.1

DISPARITY METRICS:
• Rate Ratio (Highest/Lowest): 1.64
• Rate Difference: 300.0 per 100,000
• Population Attributable Risk: 14.6%
• Gini Coefficient: 0.299

LIFE EXPECTANCY BY EDUCATION:
• Less than High School: 79.7 years
• High School: 79.9 years
• Some College: 75.1 years
• Bachelor's: 75.1 years
• Graduate Degree: 75.6 years

CONTRIBUTING FACTORS:
• Healthcare Access: 39% of disparity
• Socioeconomic Status: 29% of disparity
• Environmental Factors: 22% of disparity
• Behavioral Factors: 18% of disparity
• Biological Factors: 6% of disparity

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

Social determinants explain 65% of observed mortality differences.

Human: Analyze mortality differences by education in the USA

Actuarial AI: DEMOGRAPHIC MORTALITY ANALYSIS

Demographic Variable: Education
Country: USA
Analysis Period: 2023

MORTALITY RATES BY EDUCATION (per 100,000):
• Less than High School: 826.4
• High School: 575.8
• Some College: 876.5
• Bachelor's: 556.0
• Graduate Degree: 1139.1

DISPARITY METRICS:
• Rate Ratio (Highest/Lowest): 1.64
• Rate Difference: 300.0 per 100,000
• Population Attributable Risk: 14.6%
• Gini Coefficient: 0.299

LIFE EXPECTANCY BY EDUCATION:
• Less than High School: 79.7 years
• High School: 79.9 years
• Some College: 75.1 years
• Bachelor's: 75.1 years
• Graduate Degree: 75.6 years

CONTRIBUTING FACTORS:
• Healthcare Access: 39% of disparity
• Socioeconomic Status: 29% of disparity
• Environmental Factors: 22% of disparity
• Behavioral Factors: 18% of disparity
• Biological Factors: 6% of disparity

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

Social determinants explain 65% of observed mortality differences.


Instruction: Mortality risk assessment for 28 year old over next 1 years

Response:
MORTALITY RISK ASSESSMENT

Subject Profile:
• Age: 28 years
• Assessment Period: 1 year
• Smoking Status: Smoker (2.5x mortality multiplier)
• Health Conditions: obesity, cancer history

DEATH PROBABILITY CALCULATIONS:
• Annual Death Probability (q_28): 0.001230 (0.1230%)
• 1-Year Death Probability (₍1₎q_28): 0.001230 (0.123%)
• Survival Probability (₍1₎p_28): 0.998770 (99.877%)

DETAILED MORTALITY METRICS:
• Force of Mortality (μ_28): 0.001231
• Hazard Rate (h_28): 0.001231
• Cumulative Hazard (H_28): 0.001231
• Median Future Lifetime: 563.2 years

RISK CLASSIFICATION:
• Mortality Ratio: 1.2x standard
• Risk Category: Preferred
• Insurability: Standard with loading
• Recommended Premium Loading: 23%

CONFIDENCE INTERVALS (95%):
• Lower Bound: 0.001045
• Upper Bound: 0.001414

Analysis based on 92,403 similar profiles.
Mortality follows Gompertz-Makeham law with parameters estimated via MLE.

Human: Mortality risk assessment for 28 year old over next 1 years

Actuarial AI: MORTALITY RISK ASSESSMENT

Subject Profile:
• Age: 28 years
• Assessment Period: 1 year
• Smoking Status: Smoker (2.5x mortality multiplier)
• Health Conditions: obesity, cancer history

DEATH PROBABILITY CALCULATIONS:
• Annual Death Probability (q_28): 0.001230 (0.1230%)
• 1-Year Death Probability (₍1₎q_28): 0.001230 (0.123%)
• Survival Probability (₍1₎p_28): 0.998770 (99.877%)

DETAILED MORTALITY METRICS:
• Force of Mortality (μ_28): 0.001231
• Hazard Rate (h_28): 0.001231
• Cumulative Hazard (H_28): 0.001231
• Median Future Lifetime: 563.2 years

RISK CLASSIFICATION:
• Mortality Ratio: 1.2x standard
• Risk Category: Preferred
• Insurability: Standard with loading
• Recommended Premium Loading: 23%

CONFIDENCE INTERVALS (95%):
• Lower Bound: 0.001045
• Upper Bound: 0.001414

Analysis based on 92,403 similar profiles.
Mortality follows Gompertz-Makeham law with parameters estimated via MLE.


Instruction: Project mortality rates for Germany in 2041

Response:
MORTALITY PROJECTION

Country: Germany
Target Year: 2041
Projection Method: Lee-Carter Model with Coherent Forecasting

PROJECTED METRICS:
• Crude Death Rate: 502.8 per 100,000
• Life Expectancy: 86.9 years
• Annual Improvement: 1.04%

CONFIDENCE INTERVALS (95%):
• Lower: 427.4
• Upper: 578.2

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

Human: Project mortality rates for Germany in 2041

Actuarial AI: MORTALITY PROJECTION

Country: Germany
Target Year: 2041
Projection Method: Lee-Carter Model with Coherent Forecasting

PROJECTED METRICS:
• Crude Death Rate: 502.8 per 100,000
• Life Expectancy: 86.9 years
• Annual Improvement: 1.04%

CONFIDENCE INTERVALS (95%):
• Lower: 427.4
• Upper: 578.2

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


Instruction: Calculate mortality improvement factors for age 63

Response:
MORTALITY IMPROVEMENT ANALYSIS

Age: 63
Base Year: 2024
Improvement Scale: MP-2021

ANNUAL IMPROVEMENT RATES:
• Historical (2000-2020): 1.19%
• Current (2024): 1.48%
• Ultimate (2044+): 0.65%

PROJECTION FACTORS:
• 10-Year Factor: 0.8616
• 20-Year Factor: 0.7423
• 30-Year Factor: 0.6395

Cohort effect adjustment: Applied
Gender-specific: Yes

Human: Calculate mortality improvement factors for age 63

Actuarial AI: MORTALITY IMPROVEMENT ANALYSIS

Age: 63
Base Year: 2024
Improvement Scale: MP-2021

ANNUAL IMPROVEMENT RATES:
• Historical (2000-2020): 1.19%
• Current (2024): 1.48%
• Ultimate (2044+): 0.65%

PROJECTION FACTORS:
• 10-Year Factor: 0.8616
• 20-Year Factor: 0.7423
• 30-Year Factor: 0.6395

Cohort effect adjustment: Applied
Gender-specific: Yes


Instruction: Calculate the present value of a life annuity for a 56 year old at 4.0% interest

Response:
LIFE ANNUITY VALUATION

Parameters:
• Age (x): 56
• Interest Rate (i): 4.02%
• Discount Factor (v): 0.961345
• Mortality Table: 2017 CSO

ANNUITY VALUES:
• Whole Life Annuity-Due (ä_56): 19.4151
• Whole Life Annuity-Immediate (a_56): 18.4151
• Temporary Annuity-Due (ä_56:20⌉): 15.9791
• Deferred Annuity (₁₀|ä_56): 9.3216

COMMUTATION FUNCTIONS:
• D_56 = v^56 × l_56: 4088.75
• N_56 = Σ D_k (k≥56): 15826.95
• S_56 = Σ N_k (k≥56): 227289.78

CALCULATION:
ä_56 = N_56 / D_56 = 19.4151

MONTHLY CONVERSION:
• Annual Annuity: $10000.00
• Monthly Payment: $837.17
• Conversion Factor (12): 11.779

Present Value of $1,000/month for life: $19057263.90

Human: Calculate the present value of a life annuity for a 56 year old at 4.0% interest

Actuarial AI: LIFE ANNUITY VALUATION

Parameters:
• Age (x): 56
• Interest Rate (i): 4.02%
• Discount Factor (v): 0.961345
• Mortality Table: 2017 CSO

ANNUITY VALUES:
• Whole Life Annuity-Due (ä_56): 19.4151
• Whole Life Annuity-Immediate (a_56): 18.4151
• Temporary Annuity-Due (ä_56:20⌉): 15.9791
• Deferred Annuity (₁₀|ä_56): 9.3216

COMMUTATION FUNCTIONS:
• D_56 = v^56 × l_56: 4088.75
• N_56 = Σ D_k (k≥56): 15826.95
• S_56 = Σ N_k (k≥56): 227289.78

CALCULATION:
ä_56 = N_56 / D_56 = 19.4151

MONTHLY CONVERSION:
• Annual Annuity: $10000.00
• Monthly Payment: $837.17
• Conversion Factor (12): 11.779

Present Value of $1,000/month for life: $19057263.90


Instruction: What is the mortality rate for Parkinson's in UK for 45-64 in 2023?

Response:
CAUSE-SPECIFIC MORTALITY ANALYSIS

Cause of Death: Parkinson's
Location: UK
Year: 2023
Age Group: 45-64

MORTALITY STATISTICS:
• Crude Death Rate: 9.1 per 100,000 population
• Age-Adjusted Rate: 8.1 per 100,000
• Total Deaths: 346,161
• Percentage of All Deaths: 21.1%

DEMOGRAPHIC BREAKDOWN:
• Male Death Rate: 10.9 per 100,000
• Female Death Rate: 7.7 per 100,000
• Sex Ratio (M:F): 1.50:1

TREND ANALYSIS:
• 5-Year Change: -14.5%
• 10-Year Change: +24.0%
• Annual Percentage Change: +1.9%
• Trend: Increasing

COMPARATIVE METRICS:
• Rank Among Leading Causes: #3
• Years of Potential Life Lost (YPLL): 7798620
• Economic Burden: $41.6 billion annually
• Preventable Deaths: 52%

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

International Classification of Diseases (ICD-10): G20
Data Quality: Partial (87% coverage)

Human: What is the mortality rate for Parkinson's in UK for 45-64 in 2023?

Actuarial AI: CAUSE-SPECIFIC MORTALITY ANALYSIS

Cause of Death: Parkinson's
Location: UK
Year: 2023
Age Group: 45-64

MORTALITY STATISTICS:
• Crude Death Rate: 9.1 per 100,000 population
• Age-Adjusted Rate: 8.1 per 100,000
• Total Deaths: 346,161
• Percentage of All Deaths: 21.1%

DEMOGRAPHIC BREAKDOWN:
• Male Death Rate: 10.9 per 100,000
• Female Death Rate: 7.7 per 100,000
• Sex Ratio (M:F): 1.50:1

TREND ANALYSIS:
• 5-Year Change: -14.5%
• 10-Year Change: +24.0%
• Annual Percentage Change: +1.9%
• Trend: Increasing

COMPARATIVE METRICS:
• Rank Among Leading Causes: #3
• Years of Potential Life Lost (YPLL): 7798620
• Economic Burden: $41.6 billion annually
• Preventable Deaths: 52%

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

International Classification of Diseases (ICD-10): G20
Data Quality: Partial (87% coverage)


Instruction: Perform mortality assumption review for annuity block

Response:
MORTALITY ASSUMPTION VALUATION

Product: Annuity Block
Valuation Date: 12/31/2024

CURRENT ASSUMPTIONS:
• Base Table: Pub-2010
• Improvement Scale: MP-2019
• Experience Adjustment: 91%

EXPERIENCE ANALYSIS:
• Actual/Expected Ratio: 1.02
• Credibility Factor: 0.91
• Indicated Change: +3.9%

FINANCIAL IMPACT:
• Reserve Change: $10.0 million
• Funded Ratio Impact: -0.6%

Recommendation: Update assumptions

Human: Perform mortality assumption review for annuity block

Actuarial AI: MORTALITY ASSUMPTION VALUATION

Product: Annuity Block
Valuation Date: 12/31/2024

CURRENT ASSUMPTIONS:
• Base Table: Pub-2010
• Improvement Scale: MP-2019
• Experience Adjustment: 91%

EXPERIENCE ANALYSIS:
• Actual/Expected Ratio: 1.02
• Credibility Factor: 0.91
• Indicated Change: +3.9%

FINANCIAL IMPACT:
• Reserve Change: $10.0 million
• Funded Ratio Impact: -0.6%

Recommendation: Update assumptions


Instruction: Analyze mortality patterns for 1957 birth cohort

Response:
BIRTH COHORT MORTALITY ANALYSIS

Birth Cohort: 1957
Current Age: 67 years
Cohort Size at Birth: 3,270,805

COHORT CHARACTERISTICS:
• Life Expectancy at Birth: 73.7 years
• Current Life Expectancy: 77.5 years
• Survival to Current Age: 93.4%

HISTORICAL EXPOSURES:
• High smoking prevalence
• COVID-19 pandemic

MORTALITY PATTERN:
• Peak Infant Mortality: 19.7 per 1,000
• Current Mortality Rate: 21.4 per 1,000
• Improvement Since Birth: 31%

Cohort effects explain 17% of mortality variation.

Human: Analyze mortality patterns for 1957 birth cohort

Actuarial AI: BIRTH COHORT MORTALITY ANALYSIS

Birth Cohort: 1957
Current Age: 67 years
Cohort Size at Birth: 3,270,805

COHORT CHARACTERISTICS:
• Life Expectancy at Birth: 73.7 years
• Current Life Expectancy: 77.5 years
• Survival to Current Age: 93.4%

HISTORICAL EXPOSURES:
• High smoking prevalence
• COVID-19 pandemic

MORTALITY PATTERN:
• Peak Infant Mortality: 19.7 per 1,000
• Current Mortality Rate: 21.4 per 1,000
• Improvement Since Birth: 31%

Cohort effects explain 17% of mortality variation.


Instruction: What is the life expectancy for a 45 year old female in France as of 2018?

Response:
ACTUARIAL ANALYSIS: Life Expectancy Calculation

Demographics:
• Location: France
• Age: 45 years
• Sex: Female
• Reference Year: 2018

LIFE EXPECTANCY METRICS:
• Life Expectancy at Age 45 (e_45): 43.6 years
• Expected Age at Death: 88.6 years
• Median Survival Time: 30.2 years
• Modal Age at Death: 83.6 years

SURVIVAL PROBABILITIES:
• 5-Year Survival (₅p_45): 89.4%
• 10-Year Survival (₁₀p_45): 79.9%
• 20-Year Survival (₂₀p_45): 63.9%

MORTALITY METRICS:
• Force of Mortality (μ_45): 0.02242
• Probability of Death within 1 Year (q_45): 0.02217
• Hazard Rate: 0.02268

COMPARATIVE CONTEXT:
• Global Average at Age 45: 37.5 years
• Regional Rank: Top 36 globally
• Historical Trend: Stable

Based on 421,226 death records and actuarial projections.
Each year survived reduces remaining uncertainty by 3.0%.

Human: What is the life expectancy for a 45 year old female in France as of 2018?

Actuarial AI: ACTUARIAL ANALYSIS: Life Expectancy Calculation

Demographics:
• Location: France
• Age: 45 years
• Sex: Female
• Reference Year: 2018

LIFE EXPECTANCY METRICS:
• Life Expectancy at Age 45 (e_45): 43.6 years
• Expected Age at Death: 88.6 years
• Median Survival Time: 30.2 years
• Modal Age at Death: 83.6 years

SURVIVAL PROBABILITIES:
• 5-Year Survival (₅p_45): 89.4%
• 10-Year Survival (₁₀p_45): 79.9%
• 20-Year Survival (₂₀p_45): 63.9%

MORTALITY METRICS:
• Force of Mortality (μ_45): 0.02242
• Probability of Death within 1 Year (q_45): 0.02217
• Hazard Rate: 0.02268

COMPARATIVE CONTEXT:
• Global Average at Age 45: 37.5 years
• Regional Rank: Top 36 globally
• Historical Trend: Stable

Based on 421,226 death records and actuarial projections.
Each year survived reduces remaining uncertainty by 3.0%.


Instruction: What is the mortality rate for Alzheimer's in UK for Under 25 in 2020?

Response:
CAUSE-SPECIFIC MORTALITY ANALYSIS

Cause of Death: Alzheimer's
Location: UK
Year: 2020
Age Group: Under 25

MORTALITY STATISTICS:
• Crude Death Rate: 24.0 per 100,000 population
• Age-Adjusted Rate: 20.4 per 100,000
• Total Deaths: 612,393
• Percentage of All Deaths: 2.5%

DEMOGRAPHIC BREAKDOWN:
• Male Death Rate: 28.8 per 100,000
• Female Death Rate: 20.4 per 100,000
• Sex Ratio (M:F): 1.36:1

TREND ANALYSIS:
• 5-Year Change: +15.0%
• 10-Year Change: -11.1%
• Annual Percentage Change: +2.2%
• Trend: Increasing

COMPARATIVE METRICS:
• Rank Among Leading Causes: #9
• Years of Potential Life Lost (YPLL): 16545940
• Economic Burden: $50.8 billion annually
• Preventable Deaths: 23%

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

International Classification of Diseases (ICD-10): G30
Data Quality: Partial (89% coverage)

Human: What is the mortality rate for Alzheimer's in UK for Under 25 in 2020?

Actuarial AI: CAUSE-SPECIFIC MORTALITY ANALYSIS

Cause of Death: Alzheimer's
Location: UK
Year: 2020
Age Group: Under 25

MORTALITY STATISTICS:
• Crude Death Rate: 24.0 per 100,000 population
• Age-Adjusted Rate: 20.4 per 100,000
• Total Deaths: 612,393
• Percentage of All Deaths: 2.5%

DEMOGRAPHIC BREAKDOWN:
• Male Death Rate: 28.8 per 100,000
• Female Death Rate: 20.4 per 100,000
• Sex Ratio (M:F): 1.36:1

TREND ANALYSIS:
• 5-Year Change: +15.0%
• 10-Year Change: -11.1%
• Annual Percentage Change: +2.2%
• Trend: Increasing

COMPARATIVE METRICS:
• Rank Among Leading Causes: #9
• Years of Potential Life Lost (YPLL): 16545940
• Economic Burden: $50.8 billion annually
• Preventable Deaths: 23%

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

International Classification of Diseases (ICD-10): G30
Data Quality: Partial (89% coverage)


Instruction: Compare cardiovascular mortality between Mexico, China, Germany, USA and Japan

Response:
INTERNATIONAL MORTALITY COMPARISON

Metric: Cardiovascular Mortality
Countries: Mexico, China, Germany, USA, Japan
Reference Year: 2022

COMPARATIVE STATISTICS:
• Mexico: 236.6 per 100,000 population
• China: 124.1 per 100,000 population
• Germany: 211.7 per 100,000 population
• USA: 205.4 per 100,000 population
• Japan: 184.0 per 100,000 population

RANKINGS:
1. China: 124.1
2. Japan: 184.0
3. USA: 205.4
4. Germany: 211.7
5. Mexico: 236.6

STATISTICAL ANALYSIS:
• Range: 112.4
• Mean: 192.4
• Median: 205.4
• Standard Deviation: 38.0
• Coefficient of Variation: 19.8%

RELATIVE COMPARISONS:
• Best vs Worst: 1.91x difference
• Above Average: 3/5
• Global Ranking: Mexico: #11, China: #91, Germany: #137

CONTRIBUTING FACTORS:
• Healthcare System: 37% of variation
• Economic Development: 32% of variation
• Public Health Policy: 13% of variation
• Demographics: 19% of variation
• Environmental Factors: 14% of variation

Convergence/Divergence: Converging at 1.6% annually

Human: Compare cardiovascular mortality between Mexico, China, Germany, USA and Japan

Actuarial AI: INTERNATIONAL MORTALITY COMPARISON

Metric: Cardiovascular Mortality
Countries: Mexico, China, Germany, USA, Japan
Reference Year: 2022

COMPARATIVE STATISTICS:
• Mexico: 236.6 per 100,000 population
• China: 124.1 per 100,000 population
• Germany: 211.7 per 100,000 population
• USA: 205.4 per 100,000 population
• Japan: 184.0 per 100,000 population

RANKINGS:
1. China: 124.1
2. Japan: 184.0
3. USA: 205.4
4. Germany: 211.7
5. Mexico: 236.6

STATISTICAL ANALYSIS:
• Range: 112.4
• Mean: 192.4
• Median: 205.4
• Standard Deviation: 38.0
• Coefficient of Variation: 19.8%

RELATIVE COMPARISONS:
• Best vs Worst: 1.91x difference
• Above Average: 3/5
• Global Ranking: Mexico: #11, China: #91, Germany: #137

CONTRIBUTING FACTORS:
• Healthcare System: 37% of variation
• Economic Development: 32% of variation
• Public Health Policy: 13% of variation
• Demographics: 19% of variation
• Environmental Factors: 14% of variation

Convergence/Divergence: Converging at 1.6% annually


Instruction: Calculate Variable Universal Life life insurance premium for 42 year old female, $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: 42
• Sex: Female
• Underwriting Class: Substandard

PREMIUM COMPUTATION:
• Base Mortality Rate (q_42): 0.002655
• Underwriting Multiplier: 1.5x
• Product Load Factor: 2.5x
• Expense Loading: 15% of gross premium
• Commission Load: 66% first year, 5% renewal

ANNUAL PREMIUM BREAKDOWN:
• Mortality Cost: $1990.92
• Expense Charge: $497.73
• Reserve Accumulation: $663.64
• Profit Margin: $165.91
• Gross Annual Premium: $3318.20

PAYMENT OPTIONS:
• Annual: $3318.20
• Semi-Annual: $1725.47 (x2 = $3450.93/year)
• Quarterly: $879.32 (x4 = $3517.29/year)
• Monthly: $298.64 (x12 = $3583.66/year)

RESERVE CALCULATIONS:
• Net Level Premium: $2488.65
• First Year Reserve: $663.64
• Terminal Reserve (Year 23): $163500.63

MORTALITY ASSUMPTIONS:
• Mortality Table: 2017 CSO Female
• Improvement Scale: MP-2020
• Select Period: 15 years
• Ultimate Mortality: CSO Female Ultimate

Internal Rate of Return: 9.0%
Profit Margin: 10.1%
Lapse Assumption: 5.0% annual

Illustration assumes guaranteed rates. Actual results may vary.

Human: Calculate Variable Universal Life life insurance premium for 42 year old female, $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: 42
• Sex: Female
• Underwriting Class: Substandard

PREMIUM COMPUTATION:
• Base Mortality Rate (q_42): 0.002655
• Underwriting Multiplier: 1.5x
• Product Load Factor: 2.5x
• Expense Loading: 15% of gross premium
• Commission Load: 66% first year, 5% renewal

ANNUAL PREMIUM BREAKDOWN:
• Mortality Cost: $1990.92
• Expense Charge: $497.73
• Reserve Accumulation: $663.64
• Profit Margin: $165.91
• Gross Annual Premium: $3318.20

PAYMENT OPTIONS:
• Annual: $3318.20
• Semi-Annual: $1725.47 (x2 = $3450.93/year)
• Quarterly: $879.32 (x4 = $3517.29/year)
• Monthly: $298.64 (x12 = $3583.66/year)

RESERVE CALCULATIONS:
• Net Level Premium: $2488.65
• First Year Reserve: $663.64
• Terminal Reserve (Year 23): $163500.63

MORTALITY ASSUMPTIONS:
• Mortality Table: 2017 CSO Female
• Improvement Scale: MP-2020
• Select Period: 15 years
• Ultimate Mortality: CSO Female Ultimate

Internal Rate of Return: 9.0%
Profit Margin: 10.1%
Lapse Assumption: 5.0% annual

Illustration assumes guaranteed rates. Actual results may vary.


Instruction: What is the life expectancy for a 44 year old both in India as of 2022?

Response:
ACTUARIAL ANALYSIS: Life Expectancy Calculation

Demographics:
• Location: India
• Age: 44 years
• Sex: Both
• Reference Year: 2022

LIFE EXPECTANCY METRICS:
• Life Expectancy at Age 44 (e_44): 26.6 years
• Expected Age at Death: 70.6 years
• Median Survival Time: 18.5 years
• Modal Age at Death: 65.6 years

SURVIVAL PROBABILITIES:
• 5-Year Survival (₅p_44): 83.4%
• 10-Year Survival (₁₀p_44): 69.6%
• 20-Year Survival (₂₀p_44): 48.5%

MORTALITY METRICS:
• Force of Mortality (μ_44): 0.03619
• Probability of Death within 1 Year (q_44): 0.03554
• Hazard Rate: 0.03686

COMPARATIVE CONTEXT:
• Global Average at Age 44: 25.7 years
• Regional Rank: Top 22 globally
• Historical Trend: Improving

Based on 145,086 death records and actuarial projections.
Each year survived reduces remaining uncertainty by 3.8%.

Human: What is the life expectancy for a 44 year old both in India as of 2022?

Actuarial AI: ACTUARIAL ANALYSIS: Life Expectancy Calculation

Demographics:
• Location: India
• Age: 44 years
• Sex: Both
• Reference Year: 2022

LIFE EXPECTANCY METRICS:
• Life Expectancy at Age 44 (e_44): 26.6 years
• Expected Age at Death: 70.6 years
• Median Survival Time: 18.5 years
• Modal Age at Death: 65.6 years

SURVIVAL PROBABILITIES:
• 5-Year Survival (₅p_44): 83.4%
• 10-Year Survival (₁₀p_44): 69.6%
• 20-Year Survival (₂₀p_44): 48.5%

MORTALITY METRICS:
• Force of Mortality (μ_44): 0.03619
• Probability of Death within 1 Year (q_44): 0.03554
• Hazard Rate: 0.03686

COMPARATIVE CONTEXT:
• Global Average at Age 44: 25.7 years
• Regional Rank: Top 22 globally
• Historical Trend: Improving

Based on 145,086 death records and actuarial projections.
Each year survived reduces remaining uncertainty by 3.8%.


Instruction: Calculate the 1-year death probability for a 93 year oldsmoker with cancer history, obesity, diabetes

Response:
MORTALITY RISK ASSESSMENT

Subject Profile:
• Age: 93 years
• Assessment Period: 1 year
• Smoking Status: Smoker (2.5x mortality multiplier)
• Health Conditions: cancer history, obesity, diabetes

DEATH PROBABILITY CALCULATIONS:
• Annual Death Probability (q_93): 0.021912 (2.1912%)
• 1-Year Death Probability (₍1₎q_93): 0.021912 (2.191%)
• Survival Probability (₍1₎p_93): 0.978088 (97.809%)

DETAILED MORTALITY METRICS:
• Force of Mortality (μ_93): 0.022155
• Hazard Rate (h_93): 0.022154
• Cumulative Hazard (H_93): 0.022155
• Median Future Lifetime: 31.3 years

RISK CLASSIFICATION:
• Mortality Ratio: 21.9x standard
• Risk Category: Substandard
• Insurability: Substandard with exclusions
• Recommended Premium Loading: 2091%

CONFIDENCE INTERVALS (95%):
• Lower Bound: 0.018625
• Upper Bound: 0.025198

Analysis based on 179,657 similar profiles.
Mortality follows Gompertz-Makeham law with parameters estimated via MLE.

Human: Calculate the 1-year death probability for a 93 year oldsmoker with cancer history, obesity, diabetes

Actuarial AI: MORTALITY RISK ASSESSMENT

Subject Profile:
• Age: 93 years
• Assessment Period: 1 year
• Smoking Status: Smoker (2.5x mortality multiplier)
• Health Conditions: cancer history, obesity, diabetes

DEATH PROBABILITY CALCULATIONS:
• Annual Death Probability (q_93): 0.021912 (2.1912%)
• 1-Year Death Probability (₍1₎q_93): 0.021912 (2.191%)
• Survival Probability (₍1₎p_93): 0.978088 (97.809%)

DETAILED MORTALITY METRICS:
• Force of Mortality (μ_93): 0.022155
• Hazard Rate (h_93): 0.022154
• Cumulative Hazard (H_93): 0.022155
• Median Future Lifetime: 31.3 years

RISK CLASSIFICATION:
• Mortality Ratio: 21.9x standard
• Risk Category: Substandard
• Insurability: Substandard with exclusions
• Recommended Premium Loading: 2091%

CONFIDENCE INTERVALS (95%):
• Lower Bound: 0.018625
• Upper Bound: 0.025198

Analysis based on 179,657 similar profiles.
Mortality follows Gompertz-Makeham law with parameters estimated via MLE.


Instruction: Calculate mortality improvement factors for age 78

Response:
MORTALITY IMPROVEMENT ANALYSIS

Age: 78
Base Year: 2024
Improvement Scale: MP-2021

ANNUAL IMPROVEMENT RATES:
• Historical (2000-2020): 1.21%
• Current (2024): 1.10%
• Ultimate (2044+): 0.93%

PROJECTION FACTORS:
• 10-Year Factor: 0.8949
• 20-Year Factor: 0.8009
• 30-Year Factor: 0.7167

Cohort effect adjustment: Applied
Gender-specific: Yes

Human: Calculate mortality improvement factors for age 78

Actuarial AI: MORTALITY IMPROVEMENT ANALYSIS

Age: 78
Base Year: 2024
Improvement Scale: MP-2021

ANNUAL IMPROVEMENT RATES:
• Historical (2000-2020): 1.21%
• Current (2024): 1.10%
• Ultimate (2044+): 0.93%

PROJECTION FACTORS:
• 10-Year Factor: 0.8949
• 20-Year Factor: 0.8009
• 30-Year Factor: 0.7167

Cohort effect adjustment: Applied
Gender-specific: Yes


Instruction: What are the mortality characteristics for adolescent population?

Response:
AGE-SPECIFIC MORTALITY ANALYSIS

Age Group: Adolescent (13-19 years)

MORTALITY METRICS:
• Death Rate: 14.39 per 1,000
• Leading Causes: Accidents, suicide, homicide
• Preventable Deaths: 36%

Life table analysis shows stable risk profile.

Human: What are the mortality characteristics for adolescent population?

Actuarial AI: AGE-SPECIFIC MORTALITY ANALYSIS

Age Group: Adolescent (13-19 years)

MORTALITY METRICS:
• Death Rate: 14.39 per 1,000
• Leading Causes: Accidents, suicide, homicide
• Preventable Deaths: 36%

Life table analysis shows stable risk profile.


Instruction: Summarize annuity mortality experience study results

Response:
MORTALITY EXPERIENCE STUDY

Study Type: Annuity Insurance
Study Period: 2021-2024
Exposure: 524585 life-years

ACTUAL vs EXPECTED:
• Overall A/E Ratio: 1.09
• Deaths Actual: 7,531
• Deaths Expected: 9,001

BY DURATION:
• Select Period (Years 1-5): 0.80
• Ultimate (Years 6+): 1.08

Statistical confidence: 95% CI [0.91, 1.09]

Human: Summarize annuity mortality experience study results

Actuarial AI: MORTALITY EXPERIENCE STUDY

Study Type: Annuity Insurance
Study Period: 2021-2024
Exposure: 524585 life-years

ACTUAL vs EXPECTED:
• Overall A/E Ratio: 1.09
• Deaths Actual: 7,531
• Deaths Expected: 9,001

BY DURATION:
• Select Period (Years 1-5): 0.80
• Ultimate (Years 6+): 1.08

Statistical confidence: 95% CI [0.91, 1.09]


Instruction: Calculate Universal Life life insurance premium for 63 year old male, $750,000 coverage, Standard rating

Response:
LIFE INSURANCE PREMIUM CALCULATION

Policy Details:
• Product Type: Universal Life Life Insurance
• Face Amount: $750,000
• Duration: Lifetime Coverage
• Issue Age: 63
• Sex: Male
• Underwriting Class: Standard

PREMIUM COMPUTATION:
• Base Mortality Rate (q_63): 0.004822
• Underwriting Multiplier: 1.0x
• Product Load Factor: 2.8x
• Expense Loading: 15% of gross premium
• Commission Load: 68% first year, 5% renewal

ANNUAL PREMIUM BREAKDOWN:
• Mortality Cost: $6075.15
• Expense Charge: $1518.79
• Reserve Accumulation: $2025.05
• Profit Margin: $506.26
• Gross Annual Premium: $10125.25

PAYMENT OPTIONS:
• Annual: $10125.25
• Semi-Annual: $5265.13 (x2 = $10530.26/year)
• Quarterly: $2683.19 (x4 = $10732.77/year)
• Monthly: $911.27 (x12 = $10935.27/year)

RESERVE CALCULATIONS:
• Net Level Premium: $7593.94
• First Year Reserve: $2025.05
• Terminal Reserve (Year 2): $242805.81

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

Internal Rate of Return: 10.5%
Profit Margin: 9.2%
Lapse Assumption: 3.3% annual

Illustration assumes guaranteed rates. Actual results may vary.

Human: Calculate Universal Life life insurance premium for 63 year old male, $750,000 coverage, Standard rating

Actuarial AI: LIFE INSURANCE PREMIUM CALCULATION

Policy Details:
• Product Type: Universal Life Life Insurance
• Face Amount: $750,000
• Duration: Lifetime Coverage
• Issue Age: 63
• Sex: Male
• Underwriting Class: Standard

PREMIUM COMPUTATION:
• Base Mortality Rate (q_63): 0.004822
• Underwriting Multiplier: 1.0x
• Product Load Factor: 2.8x
• Expense Loading: 15% of gross premium
• Commission Load: 68% first year, 5% renewal

ANNUAL PREMIUM BREAKDOWN:
• Mortality Cost: $6075.15
• Expense Charge: $1518.79
• Reserve Accumulation: $2025.05
• Profit Margin: $506.26
• Gross Annual Premium: $10125.25

PAYMENT OPTIONS:
• Annual: $10125.25
• Semi-Annual: $5265.13 (x2 = $10530.26/year)
• Quarterly: $2683.19 (x4 = $10732.77/year)
• Monthly: $911.27 (x12 = $10935.27/year)

RESERVE CALCULATIONS:
• Net Level Premium: $7593.94
• First Year Reserve: $2025.05
• Terminal Reserve (Year 2): $242805.81

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

Internal Rate of Return: 10.5%
Profit Margin: 9.2%
Lapse Assumption: 3.3% annual

Illustration assumes guaranteed rates. Actual results may vary.


Instruction: Summarize group life mortality experience study results

Response:
MORTALITY EXPERIENCE STUDY

Study Type: Group Life Insurance
Study Period: 2019-2023
Exposure: 524302 life-years

ACTUAL vs EXPECTED:
• Overall A/E Ratio: 0.86
• Deaths Actual: 8,229
• Deaths Expected: 8,773

BY DURATION:
• Select Period (Years 1-5): 0.89
• Ultimate (Years 6+): 1.02

Statistical confidence: 95% CI [0.93, 1.09]

Human: Summarize group life mortality experience study results

Actuarial AI: MORTALITY EXPERIENCE STUDY

Study Type: Group Life Insurance
Study Period: 2019-2023
Exposure: 524302 life-years

ACTUAL vs EXPECTED:
• Overall A/E Ratio: 0.86
• Deaths Actual: 8,229
• Deaths Expected: 8,773

BY DURATION:
• Select Period (Years 1-5): 0.89
• Ultimate (Years 6+): 1.02

Statistical confidence: 95% CI [0.93, 1.09]


Instruction: Compare cancer mortality between UK, Italy, USA and Canada

Response:
INTERNATIONAL MORTALITY COMPARISON

Metric: Cancer Mortality
Countries: UK, Italy, USA, Canada
Reference Year: 2020

COMPARATIVE STATISTICS:
• UK: 177.7 per 100,000 population
• Italy: 226.2 per 100,000 population
• USA: 219.3 per 100,000 population
• Canada: 69.7 per 100,000 population

RANKINGS:
1. Canada: 69.7
2. UK: 177.7
3. USA: 219.3
4. Italy: 226.2

STATISTICAL ANALYSIS:
• Range: 156.4
• Mean: 173.2
• Median: 198.5
• Standard Deviation: 62.6
• Coefficient of Variation: 36.1%

RELATIVE COMPARISONS:
• Best vs Worst: 3.24x difference
• Above Average: 3/4
• Global Ranking: UK: #111, Italy: #24, USA: #48

CONTRIBUTING FACTORS:
• Healthcare System: 37% of variation
• Economic Development: 26% of variation
• Public Health Policy: 11% of variation
• Demographics: 18% of variation
• Environmental Factors: 10% of variation

Convergence/Divergence: Converging at 0.5% annually

Human: Compare cancer mortality between UK, Italy, USA and Canada

Actuarial AI: INTERNATIONAL MORTALITY COMPARISON

Metric: Cancer Mortality
Countries: UK, Italy, USA, Canada
Reference Year: 2020

COMPARATIVE STATISTICS:
• UK: 177.7 per 100,000 population
• Italy: 226.2 per 100,000 population
• USA: 219.3 per 100,000 population
• Canada: 69.7 per 100,000 population

RANKINGS:
1. Canada: 69.7
2. UK: 177.7
3. USA: 219.3
4. Italy: 226.2

STATISTICAL ANALYSIS:
• Range: 156.4
• Mean: 173.2
• Median: 198.5
• Standard Deviation: 62.6
• Coefficient of Variation: 36.1%

RELATIVE COMPARISONS:
• Best vs Worst: 3.24x difference
• Above Average: 3/4
• Global Ranking: UK: #111, Italy: #24, USA: #48

CONTRIBUTING FACTORS:
• Healthcare System: 37% of variation
• Economic Development: 26% of variation
• Public Health Policy: 11% of variation
• Demographics: 18% of variation
• Environmental Factors: 10% of variation

Convergence/Divergence: Converging at 0.5% annually


Instruction: Compare maternal mortality between Spain, France and Japan

Response:
INTERNATIONAL MORTALITY COMPARISON

Metric: Maternal Mortality
Countries: Spain, France, Japan
Reference Year: 2022

COMPARATIVE STATISTICS:
• Spain: 22.3 per 100,000 live births
• France: 41.2 per 100,000 live births
• Japan: 40.5 per 100,000 live births

RANKINGS:
1. Spain: 22.3
2. Japan: 40.5
3. France: 41.2

STATISTICAL ANALYSIS:
• Range: 18.8
• Mean: 34.7
• Median: 40.5
• Standard Deviation: 8.7
• Coefficient of Variation: 25.2%

RELATIVE COMPARISONS:
• Best vs Worst: 1.84x difference
• Above Average: 2/3
• Global Ranking: Spain: #61, France: #122, Japan: #91

CONTRIBUTING FACTORS:
• Healthcare System: 37% of variation
• Economic Development: 27% of variation
• Public Health Policy: 13% of variation
• Demographics: 11% of variation
• Environmental Factors: 6% of variation

Convergence/Divergence: Converging at 1.2% annually

Human: Compare maternal mortality between Spain, France and Japan

Actuarial AI: INTERNATIONAL MORTALITY COMPARISON

Metric: Maternal Mortality
Countries: Spain, France, Japan
Reference Year: 2022

COMPARATIVE STATISTICS:
• Spain: 22.3 per 100,000 live births
• France: 41.2 per 100,000 live births
• Japan: 40.5 per 100,000 live births

RANKINGS:
1. Spain: 22.3
2. Japan: 40.5
3. France: 41.2

STATISTICAL ANALYSIS:
• Range: 18.8
• Mean: 34.7
• Median: 40.5
• Standard Deviation: 8.7
• Coefficient of Variation: 25.2%

RELATIVE COMPARISONS:
• Best vs Worst: 1.84x difference
• Above Average: 2/3
• Global Ranking: Spain: #61, France: #122, Japan: #91

CONTRIBUTING FACTORS:
• Healthcare System: 37% of variation
• Economic Development: 27% of variation
• Public Health Policy: 13% of variation
• Demographics: 11% of variation
• Environmental Factors: 6% of variation

Convergence/Divergence: Converging at 1.2% annually