a. What is the amount of the annuity purchase
required if you wish to receive a fixed payment of $270,000 for 15
years? Assume that the annuity will earn 10 percent per year.
b. Calculate the annual cash flows (annuity
payments) from a fixed-payment annuity if the present value of the
15-year annuity is $1.7 million and the annuity earns a guaranteed
annual return of 10 percent. The payments are to begin at the end
of the current year.
c. Calculate the annual cash flows (annuity
payments) from a fixed-payment annuity if the present value of the
15-year annuity is $1.7 million and the annuity earns a guaranteed
annual return of 10 percent. The payments are to begin at the end
of six years.
(For all requirements, do not round intermediate
calculations. Round your answers to 2 decimal places. (e.g.,
32.16))
a | Present value | $2,053,641.47 |
b | Annual cash flows | $223,505.42 |
c | Value of the amount after 5 years | $2,737,867.00 |
Annual cash flows | $359,957.72 |
Workings
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