Beginning three months from now, you want to be able to withdraw $2,800 each quarter from your bank account to cover college expenses over the next four years. If the account pays. 50 percent interest per quarter, how much do you need to have in your bank account today to meet your expense needs over the next four years

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Business

Donte

29 April, 18:08

Beginning three months from now, you want to be able to withdraw $2,800 each quarter from your bank account to cover college expenses over the next four years. If the account pays. 50 percent interest per quarter, how much do you need to have in your bank account today to meet your expense needs over the next four years

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Ayla Dawson · Answer 1

You will need to have $ 55,006.94

Explanation:

We need first to consider the following details according to the problem

We have a Annuity amount of $ 2900, a Rate (r) = 0.51%, and a Time (n) = 5 years (or 20 quarters).

To reach to the money that we would need to have in the bank today to meet the expense over the next four years we use the following formula:

PVA = annuity amount * [1 - (1 / (1 + r) n) ] / r

PVA = $ 2900 x[ 1-{ 1 / (1+0.0051) 20) ]/0.0051

PVA = $ 55,006.94