Whole life insurance Age Lives Actuarial Value Second Moment 55 7,963.68 0.311490 0.147065 65 6,752.26 0.416640 0.222551 Present value of whole life annuity Variance of whole life annuity Present value of 10 year term life annuity

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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Note: the variance is represented by a squared number (i.e. the standard deviation squared).

Whole life insurance
Age Lives
Actuarial Value
Second Moment
55 7,963.68
0.311490
0.147065
65 6,752.26
0.416640
0.222551
Present value of whole life annuity
Variance of whole life annuity
Present value of 10 year term life annuity
Variance of 10 year term life annuity
Transcribed Image Text:Whole life insurance Age Lives Actuarial Value Second Moment 55 7,963.68 0.311490 0.147065 65 6,752.26 0.416640 0.222551 Present value of whole life annuity Variance of whole life annuity Present value of 10 year term life annuity Variance of 10 year term life annuity
Calculate the present value and variance of two life annuities payable continuously in the amount
of 40,000 per year.
Demographic information:
Age
55
Gender Female
Status
Disabled Retiree
Basis:
Interest rate
6%
Mortality table RPH-2014 Disabled Retiree without mortality improvement.
You are given the following values from a life insurance table (actuarial values and second
moments shown are for whole life insurance payable at the moment of death):
Transcribed Image Text:Calculate the present value and variance of two life annuities payable continuously in the amount of 40,000 per year. Demographic information: Age 55 Gender Female Status Disabled Retiree Basis: Interest rate 6% Mortality table RPH-2014 Disabled Retiree without mortality improvement. You are given the following values from a life insurance table (actuarial values and second moments shown are for whole life insurance payable at the moment of death):
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