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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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3 years ago
First City Bank pays 6 percent simple interest on its savings account balances, whereas Second City Bank pays 6 percent interest
stiv31 [10]

Answer:

You will have $10,306 more

Explanation:

In this question, we are asked to calculate the difference in the amount of money we will earn if the same deposit amount is made in two different banks with different interest payment scheme

Firstly, Calculate the amount in the account as follows:

Future value = Interest + Amount = (Am ount x Period x Rate) + Amount = ($54,000 x 10 x 6%) + $54, 000 = $32,400 + $54,000 = $86,400

Therefore, the future value is

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Now, we calculate the amount by using the compounding as follows:

Future value = Amount x (1+ Rate)^n =

$54,000 * (1+0.06)^10

= $54,000 * 1.791 = $96,706

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$96,706

The difference in amount is calculated as follows:

Difference in amount = $96,706 - $86,400 = $10,306

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