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Your grandfather wants to establish a scholarship in his father’s name at a local university and has stipulated that you will administer it. As you’ve committed to fund a $25,000 scholarship every year beginning one year from tomorrow, you’ll want to set aside the money for the scholarship immediately. At tomorrow’s meeting with your grandfather and the bank’s representative, you will need to deposit how much money so that you can fund the scholarship forever, assuming that the account will earn 4.50% per annum every year?

a. $111,111
b. $88,889
c. $100,000
d. $133,333

Oops! The bank representative just reported that he misquoted the available interest rate on the scholarship’s account. Your account should earn 3.50%. The amount of your required deposit should be revised to:________

a. $60,715
b. $53,572
c. $71,429
d. $67,858

1 Answer

2 votes

Answer:

  1. $555,555.56
  1. $714,285.71

Step-by-step explanation:

1. This scholarship is forever so this is a perpetuity. The amount you need to put in is the present value of a perpetuity.

= Perpetuity/ Rate

= 25,000/4.5%

= $555,555.56

2. = Perpetuity/ Rate

= 25,000/3.5%

= $714,285.71

Options are probably for a related question.

User RiveN
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