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**FIN 200**

Introduction to Finance: Harvesting the Money Tree

Week Seven (Week 7) Solution

CheckPoint: Break-Even Analysis

- Resource: Ch. 8 of Foundations of Financial Management
- Due Date: Day 7 [post to the Individual forum]
- Complete the Comprehensive Problem: Midland Chemical Co. on pp. 250-251.
- Post the assignment as an attachment.

Midland Chemical Co. is negotiating a loan from Manhattan Bank and Trust. The

small chemical company needs to borrow $500,000.

The bank offers a rate of 8Â¼ percent with a 20 percent compensating balance

requirement, or as an alternative, 9Â¾ percent with additional fees of $5,500 to cover

services the bank is providing. In either case the rate on the loan is floating (changes as

the prime interest rate changes), and the loan would be for one year.

a. Which loan carries the lower effective rate? Consider fees to be the equivalent of

other interest.

b. If the loan with a 20 percent compensating balance requirement were to be paid

off in 12 monthly payments, what would the effective rate be? (Principal equals

amount borrowed minus the compensating balance.)

c. Assume the proceeds from the loan with the compensating balance requirement

will be used to take cash discounts. Disregard part b about installment payments

and use the loan cost from part a.

If the terms of the cash discount are 1.5/10, net 50, should the firm borrow the funds

to take the discount?

d. Assume the firm actually takes 80 days to pay its bills and would continue to

do so in the future if it did not take the cash discount. Should it take the cash

discount?

e. Because the interest rate on the loans is floating, it can go up as interest rates go

up. Assume that the prime rate goes up by 2 percent and the quoted rate on the

loan goes up the same amount. What would then be the effective rate on the loan

with compensating balances? Convert the interest to dollars as the first step in

your calculation.

f. In order to hedge against the possible rate increase described in part e, Midland

decides to hedge its position in the futures market. Assume it sells $500,000

worth of 12-month futures contracts on Treasury bonds. One year later, interest

rates go up 2 percent across the board and the Treasury bond futures have gone

down to $488,000. Has the firm effectively hedged the 2 percent increase in

interest rates on the bank loan as described in part e? Determine the answer in

dollar amounts

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