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. If you still donate the $100,000 from Problem 16 today, but ask the college to delay the scholarship payment so that the first scholarship payment is made 10 years from today, then how large will the annual payment be

Respuesta :

Answer:

The annual scholarship payment = $5,693.25

Explanation:

Data Given:

In this question, we are required to calculate the future value up till 9th year and then  

Donating Amount = $100,000

Time period = 9 years

Note: Here in this question, interest rate is not given without which this question is incomplete. However, I have found similar question on the internet and will be using its interest rate to solve this question for the sake of understanding and concept.

So, the interest we use will be = 4%

Formula for the future value:

FV = Present Value [tex](1 + r)^{n}[/tex]

Present value = $100,000

n = 9 years

r = 4% = 0.04

FV = 100,000 [tex](1 + 0.04)^{9}[/tex]

FV = 100,000 x 1.4233118

FV = Future Value = $142,331.18

The annual scholarship payment = FV * r

The annual scholarship payment = 142,331.18 * 0.04

The annual scholarship payment = 5,693.247

The annual scholarship payment = $5,693.25