Consider the formula which gives the present value of an annuity of $1 per period for n

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Consider the formula

PV 1- (1+r)-n r

which gives the present value of an annuity of $1 per period for n periods.

a. What is the value of (1 + r)−n for very large values of n?

b. What is the value of PV for very large values of n?

c. If n is infinitely large, we have a “perpetuity”. What is the present value of a perpetuity of $1 per period if r is 10 percent?

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