a | Tax savings expected from unamortised portion of Flotation cost of old Bond | ||||||||
Flotation cost incurred | $350,000 | ||||||||
Number of years to maturity of old Bond | 20 | ||||||||
Annual amortization(350000/20) | $17,500 | ||||||||
Unamortised flotation cost =17500*15= | $262,500 | ||||||||
Tax savings on unamortised flotation cost = | $105,000 | (262500*40%) | |||||||
b. | Flotation cost of the new issue | $500,000 | |||||||
Number of years to maturity | 15 | ||||||||
Annual amortization=500000/15= | $33,333.33 | ||||||||
Tax rate | 40% | ||||||||
Annual tax saving on amortization of new bond floatation cost | $13,333 | (33333.33*40%) | |||||||
c | After tax cost of the Call Premium for retiring the old bonds | ||||||||
Number of Bonds outstanding=50million/1000 | 50,000 | ||||||||
Call premium per bond(1090-1000) | $90 | ||||||||
Before tax call premium=50000*90= | $4,500,000 | ||||||||
After tax call premium =4500000*(1-40%) | $2,700,000 | ||||||||
d | Initial Investments Required: | ||||||||
After tax Call premium | -$2,700,000 | ||||||||
Flotation cost of new bond | ($500,000) | ||||||||
Tax savings on unamortised flotation cost = | $105,000 | ||||||||
Net Initial Investment required | -$3,095,000 | (Cash outflow , hence with negative sign) | |||||||
e | Annual Cash Flow savings; | ||||||||
Savings on interest: | |||||||||
Savings on Annual Coupon on old bond=50 million*9%= | $4,500,000 | ||||||||
Payment of Annual Coupon on new bond=50 million*7%= | -$3,500,000 | ||||||||
Net before tax interest savings | $1,000,000 | ||||||||
After tax cash flow on savings of interest | $600,000 | (1000000*(1-40%) | |||||||
Savings on tax shield on flotation cost amortization | |||||||||
Tax shield on amortization of flotation cost of new bond | $13,333 | ||||||||
Tax shield lost on amortization of flotation cost of old bond | ($7,000) | (17500*40%) | |||||||
Net Flotation cost tax savings | $6,333 | ||||||||
Annual Cash Flow savings for 15 years=600000+6333= | $606,333 | ||||||||
f | NET PRESENT VALUE | ||||||||
I | Initial investment | -$3,095,000 | |||||||
Rate | Annual after tax cost of debt | 4.20% | |||||||
Nper | Number of years of cash flow | 15 | |||||||
Pmt | Annual Cash Flow savings | $606,333 | |||||||
PV | Present value of annual cash flow savings | $6,648,138 | (Using PV function of excel with Rate=4.2%, Nper=15, Pmt=-606333) | ||||||
Excel Command : PV(4.2%,15,-606333) | |||||||||
NPV=PV+I | NET PRESENT VALUE=6648138-3095000= | $3,553,138 | |||||||
Yes , We would recommend the proposal of refunding | |||||||||
NPV is Positive | |||||||||
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Attention.
- In step 2, No.3 Choices A. 10, B. 13, C.8, D. 3 (there is no 7
years)
- Please correct me if I am wrong.
- I will give you "Like" as long as you answer my question.
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