Your brother has asked you to help him to choose an investment. He has $6,000 to invest today for a period of two years. You identify a bank CD that pays an interest rate of 4.25 percent with the interest being paid quarterly. What will be the value of the investment in two years?

Respuesta :

Answer:

$ 6, 529.40

Explanation:

The value of the investment will be the future value of $6000 invested at 4.25 percent compounded quarterly for two years.

The formula for calculating the future is as below.

FV = PV × (1+r)n

where FV = Future Value

PV = Present Value : $6000

r = annual interest rate: 4.25 % divide by four

n = number of periods: 8 (2 x 4)

Since interest is paid quarterly or four times per year, the applicable interest rate will be 4.25 /4 = 1.0625%

There will be 8 periods( 4 quarters per year x 2)

Fv = 6000 x (1 + 1.0625/100)8

Fv =6000 x (1+ 0.010625)8

Fv =6000 x 1.08822900

Fv= 6529.3740

FV= $ 6, 529.40