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Kirksville Inc. has 1,500 bonds outstanding that are selling for $932 each. The bonds carry a...

Kirksville Inc. has 1,500 bonds outstanding that are selling for $932 each. The bonds carry a 5.0 percent coupon, pay interest semi-annually, and mature in 12.5 years. The company also has 11,500 shares of 6% preferred stock at a market price of $30 per share. This month, the company paid an annual dividend in the amount of $1.50 per share. The dividend growth rate is 4.0 percent. The common stock is priced at $30 a share and there are 35,500 shares outstanding. The company is considering a project that is equally as risky as the overall company. This project has initial costs of $600,000 and operating cash flows of $150,000 a year for the next 10 years and salvage value of $15,000 at the end of 10 years. The initial costs will be financed externally with the flotation costs of 6%. The net working capital (NWC) is expected to increase by $10,000 a year until the end of the project life. The project will be depreciated straight-line to zero over the project’s 10-year life. The tax rate is 20%.

(a) (15 points) What is Kirksville’s weighted average cost of capital?

(b) (10 points) What is the net present value (NPV) of this project? Should you accept the project? Explain why.

Solutions

Expert Solution

Kirksville Inc
a Calculation of WACC for the project
Assuming that the flotaion cost is applicable for all types of capital
as nothing has been specified .
Debt :
YTM = [Annual interest +(Face value-market price)/n]/(Face value +2*market price)/3
Annual Interest =1000*5%= 50
Years for Maturity n= 12.5
Face value 1000
Realizable Market Price less floatation=932*(1-6%)= 876.08
Market value of 1500 bonds @932=            1,398,000
YTM=[50+(1000-876.08)/12.5]/(1000+2*876.08)/3 =
YTM =6.53%
Tax rate =20%
So Post Tax cost of bond =6.53%*80%= 5.22%
Preferred share
Realizable Market Price less floatation=30*(1-6%)= 28.2
Annual dividend 1.5
Cost of Preferred stock=1.5/28.2= 5.32%
no of Pref shares outstanding 11500
Market Value of Preferred shares @30=               345,000
Equity :
Market Value of 35500 stock @30=            1,065,000
P0=30,
Div growth rate =g=4%
Floation cost =f=6%
D0=1.5
D1=1.5*1.04=1.56
Cost of Equity=k=[D1/P0(1-f)] +g
k=1.56/28.2 +4%
k=5.53% +4%=9.53%
So cost of equity =9.53%
WACC
Type of capital Market Value Weight of Market Value Post tax cost of Capital Weighted cost of Capital
Debt            1,398,000 49.79% 5.22% 2.60%
Preferred stock               345,000 12.29% 5.32% 0.65%
Equity            1,065,000 37.93% 9.53% 3.61%
Total            2,808,000 100.00% 6.87%
So WACC for the capital required for the project is 6.87%
Ans b.
NPV Calculation Year 0 PV Factor/ PV annuity factor @6.87% PV Of Cash flows
Initial Investment             (600,000)                              -  
Increase in NWC                (10,000)                              -  
a Total Initian Investment             (610,000)                         1                 (610,000)
Cash flow from Operations                              -  
Incremental Operating cash flow               150,000
Depreciation by SL                 60,000
EBT                 90,000
Tax @20%                 18,000
PAT                 72,000
Add back depreciation                 60,000
b Total Operating Cash flow               132,000               7.0660                   932,712
Terminal Cash flow
Return of NWC                 10,000
Salvage value after tax =15000*80%=                 12,000
c Total Terminal value cash flow                 22,000               0.5146                     11,321
TotalPV of all cash flows                   334,033
So NPV of the project is $334,033

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