Question

Sarah Gray wants to invest a certain sum of money at the end of each year for five years. The investment will earn 4% compounded annually. At the end of five years, she will need a total of $45000 accumulated. How should she compute her required annual investment? g

Answer 1

Answer:

How should she compute her required annual investment?

$ 36.987  

Explanation:

With the present value formula we can calculate how she has to invest today to get $45,000 at the end of the 5 years, with a compounded rate of 4%.

Principal Present Value  =  F /  (1 + r)^t  

In this case we have the future value and we need to find the present value that we have to invest to get the money expected.

Principal Present Value  =  45,000 /  (1 + 4%)^5 = $36,987  

If we invest today $36,987, with a compounded interest rate of 4% we get at the end of the period, 5 years, the total sum of $45,000.