Question

Suppose the CEO of your firm wishes to endow a scholarship that will pay $25,000 at the end of each year forever. a. How much money must he donate to fulfill this promise, given the discount rate is %? b. How does your answer change if he wants to make the first payment immediately?
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Answer #1
a)When the discount rate is 4% , he must donate following amount
= amount/discounting factor
= 25000/.04
625000
b)if first payment is made immediately then, he must donate following amount
Year amount present value factor ( 4%)
0 25000 1
2 to infinity 25000 0.04
Total amount to be donated 25000+(25000/.04)present value factor for 2nd year
25000+(25000/.04)*.924
602500
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