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

A

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

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