Question

Begin with a single sum of money at period 0. First, calculate a future value of that sum at 12.01%. Then discount that future value back to period 0 at 11.99%. In relation to the initial single sum, the discounted future value:_________

a. Is greater than the original amount
b. Is less than the original amount
c. Is the same as the original amount
d. Cannot be determined with the information given

Answer 1

A

Step-by-step explanation:

Let single sum = 100

The formula for calculating future value:

FV = P (1 + r)^nm

FV = Future value

P = Present value

R = interest rate

m = number of compounding

N = number of years

Future value in year 1 = 100 x 1.1201 = 112.01

Present value = future value / (1 + r)

112.01 / 1.1199 = 100.02

The discounted future value, 100.02 , is greater than, 100, the value at the initial stage by 0.02