Your grandfather wants to establish a scholarship in his father's name at a local university and has stipulated that you will administer it. As you've committed to fund a $15,000 scholarship every year beginning one year from tomorrow, you'll want to set aside the money for the scholarship immediately. At tomorrow's meeting with your grandfather and the bank's representative, you will need to deposit (rounded to the nearest whole dollar) so that you can fund the scholarship forever, assuming that the account will earn 4.50% per annum every year.

Question

Jerry

Business

9 November, 11:27

Your grandfather wants to establish a scholarship in his father's name at a local university and has stipulated that you will administer it. As you've committed to fund a $15,000 scholarship every year beginning one year from tomorrow, you'll want to set aside the money for the scholarship immediately. At tomorrow's meeting with your grandfather and the bank's representative, you will need to deposit (rounded to the nearest whole dollar) so that you can fund the scholarship forever, assuming that the account will earn 4.50% per annum every year.

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Teagan Andersen · Answer 1

Answer: The correct answer is $333,333.33

Explanation: Perpetuity is a cashflow that is payable or receivable forever.

In calculating the present value of a Perpetuity, the cash flow will be divided by the rate.

That is $15,000 / 4.5%

=$15,000 / 0.045

=$333,333.33

The money to be set aside now to be able to pay $15,000 every year is $333,333.33