In: Finance
Problem 15-6 (LG 15-2)
a. Suppose a 65-year-old person wants to
purchase an annuity from an insurance company that would pay
$22,000 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 7 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
$22,000 annuity, but this person is healthier and is expected to
live for 20 more years. If the same 7 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))
Answer of part (A) :- $200,357.15
Answer of part (b) :- $233,068.31
Answer of part (c) { related to part (a) } :- $214,382.15
Answer of part (c) { related to part (b) } :- $249,383.10