Question

A large firm received a loan guarantee from the government. Due to the guarantee, the firm...

A large firm received a loan guarantee from the government. Due to the guarantee, the firm can borrow $50 million for five years at 8 percent interest rate per year instead of 10 percent per year. Calculate the value of the guarantee to the firm. (Ignore taxes.)

The correct answer is 3.79 million, but I do not understand how my professor got to that answer.

Homework Answers

Answer #1

The opportunity cost for firm (Discount rate ) = 10%

Also ,Annual saving due to difference in interest rates : 50 * (10-8 )% = 50*2% = 1

Present value of savings =PVA 10%,5*annual savings

                       = 3.7908*1

                       = $ 3.7908 million (rounded to 3.79 )

**find present value annuity factor from present value annuity table or using financial calculator :i=10%,n= 5 PMT =1 .

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