Question

Your brother has been offered a project paying a $725 annuity due for the next 15...

  1. Your brother has been offered a project paying a $725 annuity due for the next 15 years. What is the maximum amount of money your brother should invest in this project if he has a 12.45 percent rate of return on the investment?
  1. $124.73
  2. $4,821.50
  3. $2,985.03
  4. $5,421.78
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Answer #1

Annual Payment = $725
Period = 15 years
Interest Rate = 12.45%

Payments are made at the beginning of each year

Present Value = $725 + $725/1.1245 + … + $725/1.1245^13 + $725/1.1245^14
Present Value = $725 * 1.1245 * (1 - (1/1.1245)^15) / 0.1245
Present Value = $725 * 7.478317
Present Value = $5,421.78

So, your brother should invest $5,421.78 in this project

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