Question

A judge requires Harry to make a payment to Sally. The judge says that Harry can pay her either $10,000 today or $12,000 two years from today. Of the following interest rates, which is the highest one at which Harry would be better off paying the money today?

a. 11 percent
b. 6 percent
c. 4 percent
d. 9 percent

Answer 1

d. 9 percent

Step-by-step explanation:

After 2 years the value of $10,000 at present time =

$10,000 * (1 + x / 100)^2 = $12,000

(1 + x / 100)^2 = 12,00 / 10,000

(1 + x / 100)^2 = 1.2

The square root of 1.2 is 1.0954

(1 + x / 100) = 1.0954

x = 9.54

9%( Approximately.)