(Solution) - This problem demonstrates the dependence of the present value of -(2025 Original AI-Free Solution)

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This problem demonstrates the dependence of the present value of an annuity on the number of payments. Using 7% compounded annually as the discount rate, calculate the present value of an ordinary annuity paying $1000 per year for:
a. 5 years.
b. 10 years.
c. 20 years.
d. 30 years.
e. 100 years.
f. 1000 years.
Observe that the present value increases with increasing n, but at a diminishing rate. In this case, the 970 payments from Year 30 to Year 1000 cause the present value to increase by just 15%.