In: Finance
18-7. Mullet Technologies is considering whether or not to refund a $75 million, 12% coupon, 30-year bond issue that was sold 5 years ago. It is amortizing $5 million of flotation costs on the 12% bonds over the issue’s 30-year life. Mullet’s investment banks have indicated that the company could sell a new 25-year issue at an interest rate of 10% in today’s market. Neither they nor Mullet’s management anticipate that interest rates will fall below 10% any time soon, but there is a chance that rates will increase. A call premium of 12% would be required to retire the old bonds, and flotation costs on the new issue would amount to $5million.Mullet’s marginal federal-plus-state tax rate is 40%.The new bonds would be issued 1month before the old bonds are called, with the proceeds being invested in short-term government securities returning 6% annually during the interim period.
a. Conduct a complete bond refunding analysis. What is the bond refunding’s NPV?
b. What factors would influence Mullet’s decision to refund now rather than later?
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Answer:
Initial investment outlay to refund old issue: |
Working/Calculation |
||
Call premium on old issue (75000000x12%) |
75000000x12% |
a |
9,000,000.00 |
After-tax call premium |
9000000x60% |
b |
5,400,000.00 |
New flotation cost |
as given |
c |
5,000,000.00 |
Old flotation costs already expensed |
(5000000x5/30) |
d |
833,333.33 |
Remaining flotation costs to expense |
(5000000-833333.33) |
e |
4,166,666.67 |
Tax savings from old flotation costs |
4166666.67x40% |
f |
1,666,666.67 |
Additional interest on old issue after tax |
(75000000x12%)x1/12x60% |
g |
450,000.00 |
Interest earned on investment in T-bonds after tax |
(75000000x6%)x1/12x60% |
h |
225,000.00 |
Total investment outlay |
b+c-f+g-h |
8,958,333.33 |
|
Annual Flotation Cost Tax Effects: |
|||
Annual tax savings on new flotation |
(5000000 x 40%/ 25 ) |
80,000.00 |
|
Tax savings lost on old flotation |
(5000000 x 40%/ 30) |
66,666.67 |
|
Total amortization tax effects |
(80000 - 66666.67) |
13,333.33 |
|
Annual interest savings due to refunding: |
|||
Annual after tax interest on old bond |
(75000000X12%X60%) |
5,400,000.00 |
|
Annual after tax interest on new bond |
(75000000X10%X60%) |
4,500,000.00 |
|
Net after tax interest savings |
(5400000-4500000) |
900,000.00 |
|
Annual cash flows |
(13333.33+900000) |
913,333.33 |
|
NPV of refunding decision |
(8958333.33-PV OF ANNUAL CASH FLOWS) |
2,717,131.96 |
|
PV OF ANNUAL CASH FLOW = 913333.33 x [1-(1+r)^-25]/r |
b)
Factors influencing Mullet's decision