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chubhunter [2.5K]
3 years ago
14

A wealthy benefactor just donated some money to the local college. This gift was established to provide scholarships for worthy

students. The first scholarships will be granted one year from now for a total of $35,000. Annually thereafter, the scholarship amount will be increased by 5.5 percent to help offset the effects of inflation. The scholarship fund will last indefinitely. What is the value of this gift today at a discount rate of 9 percent
Business
1 answer:
Mariulka [41]3 years ago
5 0

Answer:

Worth of scholarship today =  $1,000,000

Explanation:

<em>The value of the scholarship can be determined using the present value of a growing perpetuity. A growing perpetuity is an indefinite annual payment that increases by a constant percentage.</em>

<em>The applicable formula is given below;</em>

<em>PV = A/r-g</em>

A-annual payment  one year from now - 35,000

r- interest discount rate - 9.,

g- growth rate - 5.5

The value of the gifts today

= 35,000/(0.09-0.055)

= $1,000,000

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a reduced availability of these badly needed products.

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Contra account.

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6 0
3 years ago
Select the correct answer from each drop-down menu.
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Suppose you borrow $10,000 right now to start a business. If the terms of the loan require you to pay back $16,000 in 5 years, w
Alexxandr [17]

Answer:

r = 9.86%

Explanation:

The formula for calculating the future value of an invested amount yielding a compound interest is given by:

FV=PV(1+\frac{r}{n})^{nt}

where:

FV = future value = $16,000

PV = present value = $10,000

r = interest rate = ?

n = number of compounding period per year = 1

t = time in years = 5

∴ 16000=10000(1+\frac{r}{1})^{5}

dividing both sides by 10,000

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to remove the power of 5, we have to take the 5th root of both sides:

(1.6)^{1/5} = (1 + r )^{5 * 1/5}

Using your calculator:

1.09856 = 1 + r

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