assignment 3

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McGill University *

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342

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Finance

Date

Jan 9, 2024

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6

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Assignment 3 Note: In the problems below, you can use a market risk premium of 5.5% and a tax rate of 40% where none is specified 1. XYZ is a pharmaceutical company that traditionally has not used debt to finance its projects. Over the last 10 years, it has also reported high returns on its projects and growth and made substantial research and development expenses over the time period. The health care business overall is growing much slower now, and the projects that the firm is considering have lower expected returns. a. How would you justify the firm’s past policy of not using debt? b. Do you think the policy should be changed now? Why or why not? 2. Limoilou Inc., which makes analog/linear integrated circuits for power management, is a firm that has not used debt in the financing of its projects. The managers of the firm contend that they do not borrow money because they want to maintain financial flexibility. a. How does not borrow money increase financial flexibility? b. What is the trade-off you would be making, if you have excess debt capacity, and you choose not to use it, because you want financial flexibility? 3. President Biden is considering a tax reform plan which will lower the corporate tax rate from 36% to 17%, while preserving the tax deductibility of interest expenses. a. What effect would this tax reform plan have on the optimal debt ratio of companies? Why? b. What if the tax deductibility of debt were removed? 4. Crazy Soccer is the CFO of Bayern Gas, a large German manufacturer of industrial, commercial, and consumer gas products. Bayern Gas is privately owned, and its shares are not listed on an exchange. The CFO has appointed Funny Soccer, CFA, of Crystal-Clear Valuation Advisors, a third-party valuator, to perform a stand-alone valuation of Bayern Gas. Funny had access to the following information to calculate Bayern Gas’ weighted average cost of capital: The nominal risk-free rate is 4.5 percent. The average long-term historical equity risk premium in Germany is assumed at 5.7 percent Bayern Gas’ corporate tax rate is 38 percent. Bayern Gas’ target debt-to-equity ratio is 0.7. Bayern is operating at its target debt-to-equity ratio. Corporate Finance Bayern Gas’ cost of debt has an estimated spread of 225 basis points over the risk free rate Exhibit 1 supplies additional information on comparable firms for Bayern Gas. EXHIBIT 1 Information on comparable Comparable Tax Rate Market Cap (in mln) Debt (in mln) B/S Beta Manchester Gass 30.0 4,500 6,000 1.33 1.45 Barcelona Gas 30.3 9,300 8,700 0.94 0.75 Real Madrid Gas 30.5 7,000 7,900 1.13 1.05 Question Based only on the information given, calculate Bayern Gas’ WACC. 5. Bahamas Inc., an unlevered firm, has expected earnings before interest and taxes of $2 million per year. Bahamas's tax rate is 40%, and the market value of the firm =$12 million. The stock has a beta of 1,
and the risk free rate is 9%. Assume that E(Rm)-Rf=6%. Management is considering the use of debt; debt would be issued and used to buy back stock, and the size of the firm would remain constant. The default free interest rate on debt is 12%. Since interest expense is tax deductible, the value of the firm would tend to increase as debt is added to the capital structure, but there would be an offset in the form of the rising cost of bankruptcy. The firm's analysts have estimated, approximately, that the present value of any bankruptcy cost is $8 million and the probability of bankruptcy will increase with leverage according to the following schedule: Value of debt Probability of failure $ 2,500,000 0.00% $ 5,000,000 8.50% $ 7,500,000 20.5% $ 8,000,000 30.0% $ 9,000,000 45.0% $10,000,000 52.5% $12,500,000 70.0% a. What is the cost of equity and WACC at this time? b. What is the optimal capital structure when bankruptcy costs are considered? 6. XYZ, has $5,000 (mln) total assets which are financed as listed below: Debt $2500 (mln) The debt is in the form of long-term bonds, with a coupon rate of 10%. The bonds are currently rated AA and are selling at a yield of 12% (the market value of the bonds is 80% of the face value). Equity $2500 (mln) The firm currently has 50 million shares outstanding, and the current market price is $80 per share. The firm pays a dividend of $4 per share and has a price/earnings ratio of 10. In addition, you are provided the following information: The stock currently has a beta of 1.2. The six-month Treasury bill rate is 8% and the market risk premium is 5.5%. The tax rate for this firm is 40%. a. What is the debt/equity ratio for this firm in book value terms? in market value terms? b. What is the debt ratio for this firm in book value terms? in market value terms? c. What is the firm's current cost of capital? d. Now assume that XYZ Corporation is considering a project that requires an initial investment of $100 million and has the following projected income statement: EBIDTA $25 million Interest $ 4 million Taxes $ 6.40 million (Depreciation for the project is expected to be $5 million a year forever.) This project is going to be financed at the same debt/equity ratio as the overall firm and is expected to last forever. Assume that there are no principal repayments on the debt (perpetual). e. Evaluate this project from the equity investors' standpoint. Do you accept the project? f. Evaluate this project from the firm's standpoint. Do you accept the project? Why this NPV is different from the NPV in (e). g. Assume, for economies of scale, that this project is going to be financed entirely with debt. What would you use as your cost of capital for evaluating this project? h. Now it is considering a major change in its capital structure. It has three options: Option 1: Issue $1 billion in new stock and repurchase half of its outstanding debt. This will make it an AAA rated firm. (AAA rated debt is yielding 11% in the marketplace)
Option 2: Issue $1 billion in new debt and buy back stock. This will drop its rating to A-. (A- rated debt is yielding 13% in the market place) Option 3: Issue $3 billion in new debt and buy back stock. This will drop its rating to CCC. (CCC rated debt is yielding 18% in the marketplace). (i) What is the cost of capital under each option? (ii) Discuss would happen to the value of the firm under each option? (iii) From a cost of capital standpoint, which of the three options would you pick, or would you stay at the current capital structure? (iv) Compute the new value of the firm, Equity and Stock price for each option. 7 . CN Inc had debt outstanding of $ 985 million and 40 million shares trading at $ 46.25 per share in March 2019. It earned $ 203 million in earnings before interest and taxes and faced a marginal tax rate of 36.56%. The firm was interested in estimating its optimal leverage using the adjusted present value approach. The following table summarizes the estimated bond ratings, and probabilities of default at each level of debt from 0% to 90%. Debt Ratio Bond Rating Probability of Default 0% AAA 0.28% 10% AAA 0.28% 20% A- 1.41% 30% BB 12.20% 40% B- 32.50% 50% CCC 46.61% 60% CC 65.00% 70% C 80.00% 80% C 80.00% 90% D 100.00% The direct and indirect bankruptcy cost is estimated to be 25% of the firm’s unlevered value. Estimate the optimal debt ratio of the firm, based upon levered firm value. 8. Burlington Inc, a major rail operator with diversified operations, had earnings before interest, taxes and depreciation, of $637 million in 2020, with depreciation amounting to $235 million (offset by capital expenditure of an equivalent amount). The firm is in a steady state and expected to grow 6% a year in perpetuity. Burlington had a beta of 1.25 in 2020 and debt outstanding of $1.34 billion. The stock price was $18.25 at the end of 2020, and there were 183.1 million shares outstanding. The expected ratings and the costs of debt at different levels of debt for Burlington are shown in the following table (the treasury bond rate is 7%, and the firm faced a tax rate of 40%): D/(D+E) Rating Cost of Debt (Pretax) 0% AAA 6.23% 10% AAA 6.23% 20% A+ 6.93% 30% A- 7.43% 40% BB 8.43% 50% B+ 8.93% 60% B- 10.93% 70% CCC 11.93% 80% CCC 11.93% 90% CC 13.43% a. Estimate the cost of capital at the current debt ratio.
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b. Estimate the costs of capital at debt ratios ranging from 0% to 90%. c. Estimate the value of the firm at debt ratios ranging from 0% to 90%. 9. China’s Manufacturing, a large leisure-time company, that owns three casinos in Atlantic city and over 300 fitness centers had debt outstanding of $1.180 billion in 2020, and 45.99 million shares outstanding, trading at $9 per share. The debt is rated B- and commands a pre-tax interest rate of 10.31%. The company had $236 million in earnings before interest, taxes and depreciation in 2020, and depreciation of $109 million. (Capital expenditures amounted to $125 million in 1993.) The stock had a beta of 2.20. China's is planning to pay down debt and reduce its debt ratio (D/(D+E)) to 50%, which should raise its debt rating to A (and lower the pre-tax rate to 7.51%). The tax rate for the firm is 40%. The treasury bond rate is 7%. a. What is China' current cost of capital? b. What will the effect of the debt reduction be on the cost of capital? c. The firm value is expected to increase by $100 million as a consequence of the debt reduction. Assuming that the firm is in steady state, what is the expected growth rate in cash flows to the firm that will yield this value increase? 10. The following are the betas of the equity of four forestry/paper product companies, and their debt/equity ratios. Company Beta Debt/Equity Ratio AA 1.15 33.91% BB International 1.18 54.14% CC Paper 1.05 45.50% DD 0.91 11.29% (All the firms face a corporate tax rate of 40%) a. Estimate the unlevered beta of each firm. What do the unlevered betas tell you about these firms? b. Assume now that DD is planning to increase its debt/equity ratio to 30%. What will its new beta be? c . If you were valuing an initial public offering in the paper products area, what beta would you use in the valuation? (Assume that the firm going public plans to have a debt/equity ratio of 40%.) 11. Leisure Inc. is examining its capital structure, with the intent of arriving at an optimal debt ratio. It currently has no debt and has a beta of 1.5. The riskless interest rate is 9%. Your research indicates that the debt rating will be as follows at different debt levels: D/(D+E) Rating Interest rate 0% AAA 10% 10% AA 10.5% 20% A 11% 30% BBB 12% 40% BB 13% 50% B 14% 60% CCC 16% 70% CC 18% 80% C 20% 90% D 25% The firm currently has 1 million shares outstanding at $ 20 per share (tax rate = 40%).
a. What is the firm's optimal debt ratio? b. Assuming that the firm restructures by repurchasing stock with debt, what will the value of the stock be after the restructuring? 12. Merck, one of the largest pharmaceutical companies in Canada, is considering what its debt capacity is. In March 2020, Merk had an outstanding market value of equity of $ 24.27 billion, debt of $ 2.8 billion and a AAA rating. Its beta was 1.47, and it faced a marginal corporate tax rate of 40%. The treasury bond rate at the time of the analysis was 6.50%, and AAA bonds trade at a spread of 0.30% over the treasury rate. a. Estimate the current cost of capital for Mecrk. b. It is estimated that Merck will have a BBB rating if it moves to a 30% debt ratio, and that BBB bonds have a spread of 2% over the treasury rate. Estimate the cost of capital if Merck moves to its optimal. c. Assuming a constant growth rate of 6% in the firm value, how much will firm value change if Merk moves its optimal? What will the effect be on the stock price? d. Merck has considerable research and development expenses. Will this fact affect whether Merk takes on the additional debt? 13. Loser Inc, which is losing money and is in urgent need of cash, is considering selling its entire fleet of trucks and leasing them back. Leasing Capital has offered to buy the trucks for $50 million (which is their estimated market value) and lease them back to the firm for an annual cost of $4 million. The book value of the trucks is also $50 million, and they can be depreciated straight-line over the next 10 years to a salvage value of $10 million. Loser Inc has a pretax cost of debt of 10% and does not expect tohave taxable income in the foreseeable future,] a. Should Loser Inc do the sale and leaseback? b. Now consider the lease from the viewpoint of Leasing Capital, which has a pretax opportunity cost of 7% and faces a corporate tax rate of 40%. i. Should it agree to buy the trucks and lease them back? ii. How is it possible for both Leasing Capital and Loser Inc store to gain from the lease? 14. In April 2013, Montreal Inc. announced its plan to acquire Quebec Inc for $5.4 billion. The following are the details on two potential merger candidates, Montreal Inc and Quebec Inc, in 2012: Montreal Inc Quebec Inc (millions) (millions) Revenues $4,400 $3,125 Cost of Goods Sold (w/o Depreciation) 87.50% 89.00% Depreciation $200 $74. Tax Rate 35.00% 35.00% Working Capital 10% of Revenue 10% of Revenue Market Value of Equity $2,000.00 $1,300.00 Outstanding Debt $160.00 $250.00 Both firms are in steady state and are expected to grow 5% a year in the long term. Capital spending is expected to be offset by depreciation. The beta for both firms is 1, and both firms are rated BBB, with an interest rate on their debt of 8.5%. (The treasury bond rate is 7%.) As a result of the merger, the combined firm is expected to have a cost of goods sold of only 86% of total revenues. The combined firm does not plan to borrow additional debt. a. Estimate the value of Quebec Inc, operating independently. b. Estimate the value of Montreal Inc, operating independently. c. Estimate the value of the combined firm, with no synergy.
d. Estimate the value of the combined firm, with synergy. e. How much is the operating synergy worth? What is the maximum price Montreal can pay for Quebec? Should Montreal go for the merger?
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