Question

In order to find the future worth, F, from a present amount, P, 5 years from now at an interest rate of 6 % per year, compounded quarterly, what interest rate must be used in the F/P factor, (F/P,i%,n), when n is 20 quarters

Answer 1

Interest rate = 1.5%

Step-by-step explanation:

Given:

Future value = F

Present value = P

Number of Year (n) = 5 year × 4 quarters = 20

Interest rate = 6 % per year = 6 / 4 = 1.5% = 0.015

Computation:

Future value = Present value
`(1+i)^n`

F/P = (1+0.015)²⁰

F/P = 1.34685501

When n = 20 quarters

F/P = (1+i)²⁰

1.34685501 = (1+i)²⁰

i = 0.015

Interest rate = 1.5%