FIN 612 Managerial Finance
Week Six Assignment
Your assignment for this week is to complete the following questions and problems from Chapters 9 and 10. Please submit your complete assignment in the course room by the due date.
Chapter 9 Problems
(9-1) Calculate the after-tax cost of debt under each of the following conditions:
After tax cost of debt is "tax effected" = (1 - tax rate) a. With 0% tax rate, after tax cost of debt is = (1 - 0) * 12% = 12%. b. With 20% tax rate, after tax cost of debt is = (0.80*0.12) = 9.6% c. With 35% tax rate, after tax cost of debt is = (0.65*0.12) = 7.8%
(9-3) Duggins Veterinary Supplies can issue perpetual preferred stock at a price of $50 a share with an annual dividend of $4.50 a share. Ignoring flotation costs, what is the company’s cost of preferred stock, rps?
Dividend/Price 9 percent
(9-6) Booher Book Stores has a beta of 0.8. The yield on a 3-month T-bill is 4%, and the yield on a 10-year T-bond is 6%. The market risk premium is 5.5%, and the return on an average stock in the market last year was 15%. What is the estimated cost of common equity using the CAPM? rs = Rrf + (b x Rpm) rs = 0.06 + (0.8 x 0.055) = rs = 0.06 + 0.044 rs = 0.104
The cost of common equity is 10.4%.
(9-8) David Ortiz Motors has a target capital structure of 40% debt and 60% equity. The yield to maturity on the company’s outstanding bonds is 9%, and the company’s tax rate is 40%.
Ortiz’s CFO has calculated the company’s WACC as 9.96%. What is the company’s cost of equity capital?
WACC = rD(1-Tc)x(D/V) + rE(E/V)
0.0996 = 0.09(1-0.4)x(0.4)+rE(0.6)
0.996 = 0.0216 + rE(0.6)
0.078 = rE(0.6) rE = Cost of Equity Capital = 13%
(9-9) A company’s 6% coupon rate, semiannual payment, $1,000 par value bond that matures in 30 years sells at a price of $515.16. The company’s federal-plus-state tax rate is 40%.
What is the firm’s after-tax component cost of debt for purposes of calculating the
WACC? (Hint: Base your answer on the nominal rate.)
Enter these values: N = 60, PV = -515.16, PMT = 30 and FV = 1000, to get I = 6% periodic rate.
Then, the nominal rate is 6%*(2) = 12%, and
The after-tax component cost of debt is 12%*(0.6) = 7.2%.
Chapter 10 Questions
(10-2) What types of projects require the least detailed and the most detailed analysis in the capital budgeting process?

Projects requiring greater investments or that have greater risk should be given detailed analysis the capital budgeting process.
(10-4) When two mutually exclusive projects are being compared, explain why the short-term project might be ranked higher under the NPV criterion if the cost of capital is high whereas the long-term project might be deemed better if the cost of capital is low. Would changes in the cost of capital ever cause a change in the IRR ranking of two such projects?
Why or why not?
Generally the higher the cost of capital the lower the rate of return is going to be unless the return is a direct product of the cost which is only going to happen if you are charging a fixed percentage on the cost.
Chapter 10 Problems
(10-7) Your division is considering two investment projects, each of which requires an up-front expenditure of $15 million. You estimate that the investments will produce the following net cash flows:
Year Project A Project B
1 $5,000,000 $20,000,000
2 10,000,000 10,000,000
3 20,000,000 6,000,000 a. What are the two projects’ net present values, assuming the cost of capital is 5%?
10%? 15%?
Project A: (5%) 16,108,951.52; (10%) 12,836,213.37; (15%) 10,059587.41
Project B: (5%) 18,300,939.42; (10%) 15,954,169.80; (15%) 13,897,838.42 b. What are the two projects’ IRRs at these same costs of capital?
Project A: 43.9684%
Project B: 82.0294%
(10-9) Davis Industries must choose between a gas-powered and an electric-powered forklift truck for moving materials in its factory. Because both forklifts perform the same function, the firm will choose only one. (They are mutually exclusive investments.) The electric-powered truck will cost more, but it will be less expensive to operate; it will cost
$22,000, whereas the gas-powered truck will cost $17,500. The cost of capital that applies to both investments is 12%. The life for both types of truck is estimated to be 6 years, during which time the net cash flows for the electric-powered truck will be $6,290 per year and those for the gas-powered truck will be $5,000 per year. Annual net cash flows include depreciation expenses. Calculate the NPV and IRR for each type of truck, and decide which to recommend.
Electric-powered:
NPV
E
= -$22,000 + $6,290 [(1/i)-(1/(i*(1+i) n )]
= -$22,000 + $6,290 [(1/0.12)-(1/(0.12*(1+0.12) 6 )]
= -$22,000 + $6,290(4.1114) = -$22,000 + $25,861 = $3,861.
Financial calculator: Input the appropriate cash flows into the cash flow register, input I = 12, and then solve for NPV = $3,861.
Financial calculator: Input the appropriate cash flows into the cash flow register and then solve for IRR = 18%.

Gas-powered:
NPV
G
= -$17,500 + $5,000 [(1/i)-(1/(i*(1+i) n )]
= -$17,500 + $5,000 [(1/0.12)-(1/(0.12*(1+0.12) 6 )]
= -$17,500 + $5,000(4.1114) = -$17,500 + $20,557 = $3,057.
Financial calculator: Input the appropriate cash flows into the cash flow register, input I = 12, and then solve for NPV = $3,057.
Financial calculator: Input the appropriate cash flows into the cash flow register and then solve for IRR = 17.97% ≈ 18%.
The firm should choose the electric-powered forklift because it has a higher NPV & a higher IRR.
(10-12) After discovering a new gold vein in the Colorado mountains, CTC Mining Corporation must decide whether to go ahead and develop the deposit. The most cost-effective method of mining gold is sulfuric acid extraction, a process that could result in environmental damage.
Before proceeding with the extraction, CTC must spend $900,000 for new mining equipment and pay $165,000 for its installation. The gold mined will net the firm an estimated $350,000 each year for the 5-year life of the vein. CTC’s cost of capital is 14%. For the purposes of this problem, assume that the cash inflows occur at the end of the year.
a. What are the project’s NPV and IRR?
Purchase price $ 900,000
Installation 165,000
Initial outlay $1,065,000
CF0 = -1,065,000; CF1-5 = 350,000; I/YR = 14;NPV = ?
NPV = $136,578; IRR = 19.22%.
IRR = 350,000 x [ 1-(1+R)^-5 ] / R - 1065000 = 0 => R = 19.2%
b. Should this project be undertaken if environmental impacts were not a consideration?
Ignoring environmental concerns, the project should be undertaken because its NPV is positive and its IRR is greater than the firm’s cost of capital.
c. How should environmental effects be considered when evaluating this, or any other,
project? How might these concepts affect the decision in part b?
You might have to factor in any litigation or repair that is either required (legally) or should be done (for PR purposes). This could add another cost factor into the equation of whether this project is profitable.