Question

Today is January 1, 2009. The state of Iowa has offered your firm a subsidized loan. It will be in the amount of $10,000,000 at an interest rate of 5 percent and have ANNUAL (amortizing) payments over 3 years. The first payment is due today and your taxes are due January 1 of each year on the previous year's income. The yield to maturity on your firm's existing debt is 8 percent. What is the APV of this subsidized loan? If you rounded in your intermediate steps, the answer may be slightly different from what you got. Choose the closest.

Answer 1

Complete question:

Today is January 1, 2009. The state of Iowa has offered your firm a subsidized loan. It will be in the amount of $10,000,000 at an interest rate of 5 percent and have ANNUAL (amortizing) payments over 3 years. The first payment is due today and your taxes are due January 1 of each year on the previous year's income. The yield to maturity on your firm's existing debt is 8 percent. What is the APV of this subsidized loan? If you rounded in your intermediate steps, the answer may be slightly different from what you got. Choose the closest.

A. -$3,497,224.43 B. $417,201.05 C.$840,797 D. None of the above

Answer:

$840,797  is the APV of this subsidized loan

Solution:

Input the loan in a financial equation first and resolve the payment:

PV=10,000,000

N= 3I = 5%

PMT = 3,672,085

Now, find the APV of the loan:

CF0 = $10,000,000

CF1= -$3,502,085

     = -$3,172,085 - .66 * $500,000CF2

     = -$3,556,011CF3

     = -$3,612,632I

     = 8%

APV = $840,797