Question

(2 pts) You want to set up an endowed scholarship that will pay $5000 a year in perpetuity. If the appropriate interest rate is 4% com pounded annually, how much will you have to donate today to set up the endowed scholarship? 4) (2 pts) You want to buy a $24,000 car and have saved up $3,000 to use as a down payment. If you finance the remaining cost of the car at 42% (APR) compounded monthly for 5 years, what will your monthly payment be? 5)
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Answer #1

Dear student, only one question is allowed at a time. I am answering the first question

4)

Amount to be donated today is the value of perpetuity

Value of perpetuity

= A / r

Where,

A = Periodic payments to be received

r = Rate of interest

So, Value of perpetuity

= $5,000 / 4%

= $125,000

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