# Bond and Loan Problems

You wish to retire a \$10,000,000 bond that can be called in 5 years for 110 percent of par value, or \$11,000,000. You also need to make year-end interest payments of \$700,000 per year in each of the next five years. If you can invest money at 8 percent, how much money must you set aside today to meet these obligations?
Hint: (\$11,000,000 x 0.681) + (\$700,000 x 3.993) = ?
2. Your firm is considering the following three alternative bank loans for \$1,000,000:
a) 10 percent loan paid at year end with no compensating balance
Hint: 10% x \$1,000,000 / \$1,000,000 = ?
b) 9 percent loan paid at year end with a 20 percent compensating balance
Hint: 9% x \$1,000,000 / \$1,000,000 Ã¢â‚¬â€œ (20% x \$1,000,000) = ?
c) 6 percent loan that is discounted with a 20 percent compensating balance requirement
Hint: 6% x \$1,000,000 / \$1,000,000 Ã¢â‚¬â€œ {20% x (\$1,000,000 Ã¢â‚¬â€œ (6% x \$1,000,000))] = ?
Assume that you would normally not carry any bank balance that would meet the 20 percent compensating balance requirement. What is the rate of annual interest on each loan?

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