A universal life policy is issued to a life aged 45. Death benefit is 10,000 and the policyholder pays an annual premium of 200 at the beginning of each year. Expense charges are 30% of first year premium and 5% of renewal premiums. Interest credited is 6% per year and interest assumed in the cost of insurance is 4% per year. Cost of insurance is based on Makeham's mortality, µ̟ =0.01+0.0001(1.05*). The account value at the beginning of the 7th year, before any premium is paid, is 1,500. Calculate, to the nearest integer, the account value at the end of the 7th Year.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter12: Sequences, Series And Binomial Theorem
Section12.3: Geometric Sequences And Series
Problem 12.58TI: What is the total effect on the economy of a government tax rebate of $500 to each household in...
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A universal life policy is issued to a life aged 45. Death benefit is 10,000 and the
policyholder pays an annual premium of 200 at the beginning of each year. Expense
charges are 30% of first year premium and 5% of renewal premiums. Interest credited
is 6% per year and interest assumed in the cost of insurance is 4% per year. Cost of
insurance is based on Makeham's mortality, H = 0.01+0.0001(1.05*). The account
value at the beginning of the 7th year, before any premium is paid, is 1,500. Calculate,
to the nearest integer, the account value at the end of the 7th year.
Transcribed Image Text:A universal life policy is issued to a life aged 45. Death benefit is 10,000 and the policyholder pays an annual premium of 200 at the beginning of each year. Expense charges are 30% of first year premium and 5% of renewal premiums. Interest credited is 6% per year and interest assumed in the cost of insurance is 4% per year. Cost of insurance is based on Makeham's mortality, H = 0.01+0.0001(1.05*). The account value at the beginning of the 7th year, before any premium is paid, is 1,500. Calculate, to the nearest integer, the account value at the end of the 7th year.
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