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Problem 18-07 Mullet Technologies is considering whether or not to refund a $250 million, 12% coupon, 30-year bond issue that was sold 5 years ago. It is amortizing $6 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 15% would be required to retire the old bonds, and flotation costs on the new issue would amount to $4 million. Mullet's marginal federal-plus-state tax rate is 40%. 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 4% annually during the interim period.
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What is the bond refunding's NPV?
$(million) | ||
a. Face value | 250 | |
Add:-Call premium (15%) | 37.5 | |
Cost of calling old bonds | 287.5 | |
b. Overlapping Interest cost for one month (Note-1) | ||
Before Tax (0.12*1/12*250) | 2.5 | |
Less Tax 40% | 1 | 1.5 |
c. Interest from Govt Securities (250*4%*1/12) | 0.83 | |
d. Gross proceed of new issue | 250 | |
Less: Issue costs | 4 | |
Net proceeds of new issue | 246 | |
e. Tax savings on call premium and unamortized cost 0.40 (37.5 + 4) | 16.6 |
Therefore, Initial outlay = $287.5 million + $ 1.5 million – 0.83 million – $246 million – $16.6 million = $25.57 million
$(million) | ||
Saving in annual interest expenses | ||
[250 x (0.12 – 0.10)] | 5 | |
Less:- Tax saving on interest and amortization | ||
0.40 x [5 + (6-4)/25] | 2.03 | |
Annual net cash saving | 2.97 | |
PVIFA (6%, 25 years) (Note-2) | 12.783 | |
Present value of net annual cash saving | $36.97 million | |
Less:- Initial outlay | $25.57 million | |
Net present value of refunding the bond | $12.40 million |
Decision: The bonds should be refunded
Note : 1. Since, the new bond will issued a month before the refunding of the old bond, the company would have to pay the overlapping interest for the Old bond as well for one month.
2. The annuity factor would be the after tax cost of debt of new bond i.e. 10 – (10*0.40) = 6%
What factors would influence Mullet's decision to refund now rather than later?
The factors influencing the Mullets decision to refund now are as follows: