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

Question

3 years ago

6

annually. At the end of five years, she will need a total of $45000 accumulated. How should she compute her required annual investment? g

1 answer:

guajiro [1.7K] · Answer 1 · 2022-05-04T09:00:08+03:00

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.