Question

Your goal is to withdraw $25,000 in 10 years. To get the money for this withdrawal, you will make the aforementioned five equal deposits, beginning today and for the following 4 semiyears (6 month periods). How large must each of the five payments be

Answer 1

Answer:

the interest rate is missing, so I looked for similar questions and found that the semiannual interest rate is 3%.

first of all, we must determine the amount of money that we need to have in our account in order to be able to withdraw $25,000 in 10 years.

You will start making your semiannual deposits today and they will end in exactly 2 years, so we need to find out the present value of the $25,000 in two years:

PV = $25,000 / (1 + 3%)¹⁶ = $15,579.17

that is now the future value of our annuity due:

FV = semiannual deposit x FV annuity due factor (3%, 5 periods)

$15,579.17 = semiannual deposit x 5.46841

semiannual deposit = $15,579.17 / 5.46841 = $2,848.94