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A. Which loan carries the lower effective rate? Consider fees to be the equivalent of other interest.
$500,000 * 8.25% = $41,250 Interest
$500,000 * 20% = $400,000 Available
Effective rate would be $41,250 / $400,000 = 10.312%
Fee added loan - $500,000 * 9.75% = $48,750 Interest
Effective rate - $54,250 / $500,000 = 10.850% 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.)
(2 * 12 * $41,250) / (12 + 1) * $400,000
$990,000 / 5,200,000 = 19.038%
(Order or operation) C. Assume the proceeds from the loan with the compensating balance requirement will be used to take cash discounts. Disregard part babout 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?
(1.5% / 98.5%) * 360 / (50-10)
1.52% * 9 = 13.680%
Cost of dialing to take cash discount = 13.680% 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? 1.5% / 98.5% * 360 / 70
1.52% * 5.14 = 7.813% 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.
$500,000 * 10.25% = $51,250 Interest
Effective rate is $51,250 / 400,000 = 12.813% 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

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