# Calcuating present/future values

As winner of a breakfast cereal competition, you can choose one of the following prizes:

a. $100,000 now.

b. $180,000 at the end of five years.

c. $11,400 a year forever.

d. $19,000 for each of 10 years.

e. $6,500 next year and increasing thereafter by 5 percent a year forever.

If the interest rate is 12 percent, which is the most valuable prize?

Notes: a. is a present value, b. is a future value c. is a simple perpetuity. d. is an annuity and e. is a growing perpetuity. Translate b, c, d, and e into present values to be able to select the most valuable prize.

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#### Solution Preview

b. PV = FV/(1 + r)n where FV is the future value

PV is the present value

r is the interest rate

n is the number of year

PV = 180,000/(1.12)5

= 102,136.83

c. PV = Value/r

= ...

#### Solution Summary

This solution is comprised of a detailed explanation to answer if the interest rate is 12 percent, which is the most valuable prize.