Question
Schumann Shoe Manufacturer is considering whether or not to refund a $70 million, 10% coupon, 30-year bond issue that was sold 8 years ago. It
Schumann Shoe Manufacturer is considering whether or not to refund a $70 million, 10% coupon, 30-year bond issue that was sold 8 years ago. It is amortizing $4.5 million of flotation costs on the 10% bonds over the issue's 30-year life. Schumann's investment bankers have indicated that the company could sell a new 22-year issue at an interest rate of 8 percent in today's market. Neither they nor Schumann's management anticipate that interest rates will fall below 6 percent any time soon, but there is a chance that interest rates will increase. | |||||||||||
A call premium of 10 percent would be required to retire the old bonds, and flotation costs on the new issue would amount to $5 million. Schumann's marginal federal-plus-state tax rate is 40 percent. The new bonds would be issued 1 month before the old bonds are called, with the proceeds being invested in short-term government securities returning 5 percent annually during the interim period. | |||||||||||
Current bond issue data | |||||||||||
Par value | $ 70,000,000 |
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Coupon rate | 10% | ||||||||||
Original maturity | 30 | ||||||||||
Remaining maturity | 22 | ||||||||||
Original flotation costs | $ 4,500,000 | ||||||||||
Call premium | 10% | ||||||||||
Tax rate | 40% | ||||||||||
Refunding data | |||||||||||
Coupon rate | 8.0000% | ||||||||||
Maturity | 22 | ||||||||||
Flotation costs | $ 5,000,000 | ||||||||||
Time between issuing new bonds and calling old bonds (months) | 1 | ||||||||||
Rate earned on proceeds of new bonds before calling old bonds (annual) |
5% |
a. Perform a complete bond refunding analysis. What is the bond refunding's NPV? | ||||||||||
Initial investment outlay to refund old issue: | ||||||||||
Call premium on old issue = |
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After-tax call premium = |
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New flotation cost = |
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Old flotation costs already expensed = |
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Remaining flotation costs to expense = |
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Tax savings from old flotation costs = |
| You get to expense the remaining flotation costs | ||||||||
Additional interest on old issue after tax = |
| This is interest paid on the old bond issue between when the new bonds are issued and the old bonds are retired | ||||||||
Interest earned on investment in T-bonds after tax = |
| This is interest earned on the proceeds from the new bonds before they are used to pay off the old bonds. | ||||||||
Total investment outlay = |
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Annual Flotation Cost Tax Effects: | ||||||||||
Annual tax savings on new flotation = |
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Tax savings lost on old flotation = |
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Total amortization tax effects = |
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Annual interest savings due to refunding: | ||||||||||
Annual after tax interest on old bond = |
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Annual after tax interest on new bond = |
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Net after tax interest savings = |
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Annual cash flows = |
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After-tax cost of new debt = |
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NPV of refunding decision = |
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b. At what interest rate on the new debt is the NPV of the refunding no longer positive? | |||||||||||
"Break-even" interest rate = |
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