Question

What is the percentage change in the PV of $100 due in 1 year when the interest rate changes from 5% to 10%?

a. Decreases by 60.6%
b. Decreases by 4.33%
c. Decreases by 4.5%
d. Does not change
e. Increases by 4.5%
f. Increases by 60.6%

Answer 1

c. Decreases by 4.5%

Step-by-step explanation:

Calculation for What is the percentage change in the PV

First step is to calculate the present value when r is 5%

PV = 100 / (1 + 5%)^1

PV = $95.24

Second step is to calculate present value when r is 10%

PV = 100 / (1 + 10%)^1

PV = $ 90.91

Last step is to calculate the percentage change in the PV

Percentage change in the PV = (90.91 - 95.24) * 100 / 95.24

Percentage change in the PV = - 4.55% (Decrease)

Therefore the Percentage change in the PV Decreases by 4.5%