Question

You want to end endow ment discount rate is 5%, what amount must you donate to endow the scholarship? How would your answer change if you endow it now, but it makes the first award to a student 10 years from in the first case, the amount you must donate today is $ 240000 (Round to the nearest cent) How would your answer change if you endow it now, but it makes the first award to a student 10 years in this case, the amount you must donate today is s (Round to the nearest cent) a scholarship that will pay $12,000 per year forever, starting one year from now If the schoors

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Answer #1

1) Donation today:

= $12,000/5%

= $240,000.00

2)

Donation today -First payment in 10 years FV×(1÷(1+r)n)
Here,
1 rate per annum 5.00%
2 Number of years                                             9
3 Number of compoundings per per annum                                             1
4 = 1÷3 rate per period ( r) 5.00%
5 = 2×3 Number of periods (n)                                             9
Perpetuity value in 9 years (FV) $240,000
Donation today -First payment in 10 years $154,706.14
240000*(1/(1+0.05)9)
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