a. Suppose a 65-year-old person wants to purchase an annuity from an insurance company that would pay $21,100 per year until the end of that person's life. The insurance company expects this person to live for 15 more years and would be willing to pay 8 percent on the annuity. How much should the insurance company ask this person to pay for the annuity? b. A second 65-year-old person wants the same $21,100 annuity, but this person is healthier and is expected to live for 20 more years. If the same 8 percent interest rate applies, how much should this healthier person be charged for the annuity? c. In each case, what is the new purchase price of the annuity if the distribution payments are made at the beginning of the year? (For all requirements, do not round intermediate calculations. Round your answers to 2 decimal places. (e.g., 32.16)) a. Purchase price of the annuity b. Purchase price of the annuity c. 15-year purchase price 20-year purchase price

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter5: The Time Value Of Money
Section: Chapter Questions
Problem 39P
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a. Suppose a 65-year-old person wants to purchase an annuity from an insurance company that would pay $21,100 per year until the
end of that person's life. The insurance company expects this person to live for 15 more years and would be willing to pay 8 percent on
the annuity. How much should the insurance company ask this person to pay for the annuity?
b. A second 65-year-old person wants the same $21,100 annuity, but this person is healthier and is expected to live for 20 more years.
If the same 8 percent interest rate applies, how much should this healthier person be charged for the annuity?
c. In each case, what is the new purchase price of the annuity if the distribution payments are made at the beginning of the year?
(For all requirements, do not round intermediate calculations. Round your answers to 2 decimal places. (e.g., 32.16))
а.
Purchase price of the annuity
b. Purchase price of the annuity
c. 15-year purchase price
20-year purchase price
Transcribed Image Text:a. Suppose a 65-year-old person wants to purchase an annuity from an insurance company that would pay $21,100 per year until the end of that person's life. The insurance company expects this person to live for 15 more years and would be willing to pay 8 percent on the annuity. How much should the insurance company ask this person to pay for the annuity? b. A second 65-year-old person wants the same $21,100 annuity, but this person is healthier and is expected to live for 20 more years. If the same 8 percent interest rate applies, how much should this healthier person be charged for the annuity? c. In each case, what is the new purchase price of the annuity if the distribution payments are made at the beginning of the year? (For all requirements, do not round intermediate calculations. Round your answers to 2 decimal places. (e.g., 32.16)) а. Purchase price of the annuity b. Purchase price of the annuity c. 15-year purchase price 20-year purchase price
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