Question
I am posting it for the 3rd time. Previous answers were all wrong. Please mention the steps The Robinson Corporation has $38 million of bonds
I am posting it for the 3rd time. Previous answers were all wrong. Please mention the steps
The Robinson Corporation has $38 million of bonds outstanding that were issued at a coupon rate of 12.050 percent seven years ago. Interest rates have fallen to 11.050 percent. Mr. Brooks, the Vice-President of Finance, does not expect rates to fall any further. The bonds have 17 years left to maturity, and Mr. Brooks would like to refund the bonds with a new issue of equal amount also having 17 years to maturity. The Robinson Corporation has a tax rate of 30 percent. The underwriting cost on the old issue was 3.80 percent of the total bond value. The underwriting cost on the new issue will be 2.40 percent of the total bond value. The original bond indenture contained a five-year protection against a call, with a 8 percent call premium starting in the sixth year and scheduled to decline by one-half percent each year thereafter. (Consider the bond to be seven years old for purposes of computing the premium.) Use Appendix D for an approximate answer but calculate your final answer using the formula and financial calculator methods. Assume the discount rate is equal to the aftertax cost of new debt rounded up to the nearest whole percent (e.g. 4.06 percent should be rounded up to 5 percent).
a. Discount rate = 8%
b. Calculate the present value of total outflows. (Do not round intermediate calculations and round your answer to 2 decimal places.)
PV of total outflows?
c. Calculate the present value of total inflows. (Do not round intermediate calculations and round your answer to 2 decimal places.)
PV of total inflows ?
d. Calculate the net present value. (Negative amount should be indicated by a minus sign. Do not round intermediate calculations and round your answer to 2 decimal places.)
Net Present values?
Existing answer from CHEGG for similar question had wrong answers.
https://www.chegg.com/homework-help/questions-and-answers/robinson-corporation-38-million-bonds-outstanding-issued-coupon-rate-12050-percent-seven-y-q25335081
Below are my calculation, Would you please confirm if my answers are correct?
PV of Cash outflows
Net Cost of Call Premium = (Call Premium rate * Face value of the issue) * (1 - Tax Rate)
= ((0.08- 0.005) * 38000000) * (1-30%)
= 1,995,000
Under writing Expenditure = Underwiritng cosst of New issue * Face value of the issue = 0.024 * 38000000 = 912000
Annual Tax Savings New Issues = (Underwriting Cost of New Issues / Issue Years) * Tax Rate
= (912000/17)*0.30
= 16094.12
PV of Tax Savings New Issues = Annual Tax Savings New issues * (( 1 - (1/(1+ i)^n))/ D)
= 16094.12 * ((1 - (1/1.08)^17))/0.08)) = 16094.12 * 9.1216381
= 146804.74
PV of Cash outflows = Net Cost of Call Premium + Under writing Expenditure - Annual Tax Savings New Issues
= 1,995,000 + 912000 - 146804.74
= 2760195.26
======================================================================================= PV of Cash Inflows
Net Annual Intrest Savings = (Initial Interest Rate - Current Interest Rate ) * Face Value of the issues * (1-Tax Rate)
= (0.1205 - 0.1105) * 38000000 * (1-0.30)
= 266,000
PV of Interest Savings = Net Annual Interest Saving * ((1-(1/(1+i)^n))/i)
= 266000 * ((1-(1/(1+0.08)^17))/0.08) = 266000 * 9.1216381
= 2426355.74
Annual Amortization old issue = (Underwriting Cost old issue * Face Value of the issue) / Issue years
= (0.038 * 38000000) / 24
= 60166.67
UnAmortized cost Old issues = (Cost of Old issue * Face Value) - (Annual Amortization old issue * Number of years since Issuance)
= (0.038 * 38000000) - (60166.67 * 7)
= 1022833.31
PV UnAmortized cost Old issues = Annual Amortization old issue * ((1-(1/(1+ i)^n))/i)
= 60166.67 * ((1 - (1/(1.08)^17)) / 0.08)
= 548818.59
Immediate Gain in unamortized Cost old issue = UnAmortized cost Old issues - PV UnAmortized cost Old issues
= 1022833.31 - 548818.59 = 474014.72
Cost tax savings old issue = 474014.72 * 0.30 = 142204.42
PV of Cash Inflows = PV of Interest Savings + Cost tax savings old issue = 2426355.74 + 142204.42
= 2568560.16
=======================================================================================
Net Present Value = PV of Cash Inflows - PV of Cash outflows
= 2568560.16 - 2760195.26
= -191635.1
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