Chapter 015 Cost of Capital Multiple Choice Questions 1. The return shareholders require on their investment in a firm is called the: a. dividend yield. B. cost of equity. c. capital gains yield. d. cost of capital. e. income return. SECTION: 15.2 TOPIC: COST OF EQUITY TYPE: DEFINITIONS 2. The return lenders require on loaned funds to a firm is called the: a. coupon rate. b. current yield. C. cost of debt. d. capital gains yield. e. cost of capital. SECTION: 15.3 TOPIC: COST OF DEBT TYPE: DEFINITIONS 3. The weighted average of a firm's cost of equity and aftertax cost of debt is called the: a. reward to risk ratio. b. weighted capital gains rate. c. pure play cost of capital. d. subjective cost of capital. E. weighted average cost of capital. SECTION: 15.4 TOPIC: WACC TYPE: DEFINITIONS 15-1 Chapter 015 Cost of Capital 4. When a manager develops a cost of capital for a specific project based on the cost of capital for another firm which has a similar line of business as the project, the manager is utilizing the _____ approach. a. subjective risk B. pure play c. divisional cost of capital d. capital adjustment e. security market line SECTION: 15.5 TOPIC: PURE PLAY APPROACH TYPE: DEFINITIONS 5. The cost of capital: a. will decrease as the risk level of a firm increases. b. is primarily dependent upon the source of the funds used for a project. c. implies a project will produce a positive net present value only when the rate of return on the project is less than the predetermined cost of capital. d. remains constant for all projects undertaken by the same firm. E. depends on how the funds are going to be utilized. SECTION: 15.1 TOPIC: COST OF CAPITAL TYPE: CONCEPTS 6. The overall cost of capital for a retail store: a. is equivalent to the aftertax cost of the firm's liabilities. b. should be used as the required return when analyzing a potential acquisition of a wholesale distributor. C. reflects the return investors require on the total assets of the firm. d. remains constant when the debt-equity ratio changes. e. is unaffected by changes in corporate tax rates. SECTION: 15.1 TOPIC: COST OF CAPITAL TYPE: CONCEPTS 15-2 Chapter 015 Cost of Capital 7. The cost of capital primarily depends on the: a. debt-equity ratio. b. applicable tax rate. c. cost of equity financing. d. cost of debt. E. use of the funds. SECTION: 15.1 TOPIC: COST OF CAPITAL TYPE: CONCEPTS 8. Davis Entertainment is considering developing and distributing a new board game for children. The project is similar in risk to the firm's current operations. The firm maintains a debt-equity ratio of .45 and retains all profits to fund the firm's rapid growth. How should the firm determine its cost of equity? a. by adding the market risk premium to the aftertax cost of debt b. by treating the common stock as if it were preferred stock c. by using the dividend growth formula D. by using the security market line approach e. by averaging the cost determined by both the dividend growth formula and the security market line approach. SECTION: 15.2 TOPIC: COST OF EQUITY TYPE: CONCEPTS 9. All else constant, which one of the following will increase a firm's cost of equity if the firm computes that cost using the security market line approach? Assume the firm currently pays an annual dividend of $2.10 a share and has a beta of 1.1. a. a reduction in the dividend amount b. an increase in the dividend amount c. a reduction in the market risk premium d. a reduction in the firm's beta E. an increase in the market rate of return SECTION: 15.2 TOPIC: COST OF EQUITY TYPE: CONCEPTS 15-3 Chapter 015 Cost of Capital 10. A firm's overall cost of equity is: a. directly observable in the financial markets. b. unaffected by changes in the market risk premium. C. highly dependent upon the growth rate and risk level of the firm. d. generally less than the firm's aftertax cost of debt. e. inversely related to change in the firm's tax rate. SECTION: 15.2 TOPIC: COST OF EQUITY TYPE: CONCEPTS 11. The cost of equity for a firm is: a. dependent upon the firm's debt-equity ratio. B. based on estimates derived from financial models. c. equivalent to a leveraged firm's cost of capital. d. equal to the risk-free rate of return plus the market risk premium. e. equal to the firm's pretax weighted average cost of capital. SECTION: 15.2 TOPIC: COST OF EQUITY TYPE: CONCEPTS 12. The dividend growth model: a. can be used to estimate the cost of equity for any corporation. b. is applicable only to firms that pay a constant dividend. c. is unaffected by the estimated rate of dividend growth. D. can be applied to firms that are reducing their dividend amount. e. considers the risk level of the firm. SECTION: 15.2 TOPIC: DIVIDEND GROWTH MODEL TYPE: CONCEPTS 15-4 Chapter 015 Cost of Capital 13. The dividend growth model: A. is only as reliable as the estimated rate of growth. b. can only be used if historical dividend information is available. c. considers the risk that future dividends may vary from their estimated values. d. applies only when a firm is currently paying dividends. e. uses beta to measure the systematic risk of a firm. SECTION: 15.2 TOPIC: DIVIDEND GROWTH MODEL TYPE: CONCEPTS 14. The market risk premium: A. can vary over time. b. is equal to the risk premium for a security minus the market rate of return. c. is equal to zero for a risk-free asset. d. is equal to the risk-free rate multiplied by the beta of a firm. e. is constant over time. SECTION: 15.2 TOPIC: SECURITY MARKET LINE APPROACH TYPE: CONCEPTS 15. Which of the following statements are correct concerning the security market line (SML) approach to determining the cost of equity for a firm? I. The SML approach considers the amount of unsystematic risk associated with a firm. II. The SML approach can be applied to more firms than the dividend growth model can. III. The SML approach considers only future information. IV. The SML approach assumes the reward-to-risk ratio is constant. a. I and III only B. II and IV only c. III and IV only d. I, II, and III only e. I, II, III, and IV SECTION: 15.2 TOPIC: SECURITY MARKET LINE APPROACH TYPE: CONCEPTS 15-5 Chapter 015 Cost of Capital 16. The pre-tax cost of debt for a firm: A. is based on the yield to maturity on the firm's outstanding bonds. b. is equal to the coupon rate for the latest bond issue. c. is equivalent to the current yield on the outstanding bonds of the firm. d. is based on the yield to maturity that existed when the currently outstanding bonds were originally issued. e. has to be estimated as it cannot be directly observed in the market. SECTION: 15.3 TOPIC: COST OF DEBT TYPE: CONCEPTS 17. The aftertax cost of debt generally increases when: I. a firm's bond rating increases. II. the market rate of interest increases. III. tax rates decrease. IV. bond prices rise. a. I and III only B. II and III only c. I, II, and III only d. II, III, and IV only e. I, II, III, and IV SECTION: 15.3 TOPIC: COST OF DEBT TYPE: CONCEPTS 18. The cost of preferred stock is computed the same as the: a. pre-tax cost of debt. b. return on an annuity. c. aftertax cost of debt. D. return on a perpetuity. e. cost of an irregular growth common stock. SECTION: 15.3 TOPIC: COST OF PREFERRED STOCK TYPE: CONCEPTS 15-6 Chapter 015 Cost of Capital 19. The cost of preferred stock: A. is equal to the dividend yield. b. is equal to the yield to maturity. c. is highly dependent on the dividend growth rate. d. varies directly with the stock's price. e. is relatively difficult to determine. SECTION: 15.3 TOPIC: COST OF PREFERRED STOCK TYPE: CONCEPTS 20. The capital structure weights used in computing the weighted average cost of capital: a. are based on the book values of total debt and total equity. B. are based on the market value of the firm's debt and equity securities. c. are computed using the book value of the long-term debt and the book value of equity. d. remain constant over time unless the firm issues new securities. e. are restricted to the firm's debt and common stock. SECTION: 15.4 TOPIC: CAPITAL STRUCTURE WEIGHTS TYPE: CONCEPTS 21. DTK, Inc. uses both preferred and common stock as well as long-term debt to finance its operations. An increase in which one of the following will increase the capital structure weight of the debt, all else equal? a. market price of the common stock b. number of shares of preferred stock outstanding c. book value of the outstanding shares of common stock D. number of bonds outstanding e. number of shares of stock outstanding SECTION: 15.4 TOPIC: CAPITAL STRUCTURE WEIGHTS TYPE: CONCEPTS 15-7 Chapter 015 Cost of Capital 22. The aftertax cost of debt: a. varies inversely to market interest rates. b. will generally exceed the cost of equity if the relevant tax rate is zero. c. is equal to the pre-tax cost of debt. d. is directly related to the cost of equity. E. has a greater effect on a firm's cost of capital when the debt-equity ratio increases. SECTION: 15.3 TOPIC: WEIGHTED AVERAGE COST OF CAPITAL TYPE: CONCEPTS 23. The weighted average cost of capital for a firm is dependent upon the firm's: I. level of systematic risk. II. debt-equity ratio. III. preferred dividend amount. IV. outstanding bonds' yield to maturity. a. I and III only b. II and IV only c. I, II, and IV only d. I, III, and IV only E. I, II, III, and IV SECTION: 15.4 TOPIC: WEIGHTED AVERAGE COST OF CAPITAL TYPE: CONCEPTS 24. The weighted average cost of capital for a firm is the: a. discount rate which the firm should apply to all of the projects it undertakes. B. rate of return a firm must earn on its existing assets to maintain the current value of its stock. c. coupon rate the firm should expect to pay on its next bond issue. d. maximum rate which the firm should require on any projects it undertakes. e. required rate which every project's internal rate of return must exceed. SECTION: 15.4 TOPIC: WEIGHTED AVERAGE COST OF CAPITAL TYPE: CONCEPTS 15-8 Chapter 015 Cost of Capital 25. Which one of the following statements is correct concerning the weighted average cost of capital (WACC)? A. The WACC may decrease as a firm's debt-equity ratio increases. b. When computing the WACC, the weight assigned to the preferred stock is based on the coupon rate multiplied by the par value of the stock. c. A firm's WACC will decrease as the corporate tax rate decreases. d. The weight of the common stock used in the computation of the WACC is based on the number of shares outstanding multiplied by the book value per share. e. The WACC will remain constant unless a firm retires some of its debt. SECTION: 15.4 TOPIC: WEIGHTED AVERAGE COST OF CAPITAL TYPE: CONCEPTS 26. If a firm uses its WACC as the discount rate for all of the projects it undertakes then the firm will tend to: I. reject some positive net present value projects. II. accept some negative net present value projects. III. favor high risk projects over low risk projects. IV. maintain its current level of risk. a. I and III only b. III and IV only C. I, II, and III only d. I, II, and IV only e. I, II, III, and IV SECTION: 15.4 TOPIC: WEIGHTED AVERAGE COST OF CAPITAL TYPE: CONCEPTS 15-9 Chapter 015 Cost of Capital 27. Swanson & Sons has two separate divisions. Each division is in a separate line of business. Division A is the largest division and represents 65 percent of the firm's overall sales. Division A is also the riskier of the two divisions. Division B is the smaller and least risky of the two. When management is deciding which of the various divisional projects should be accepted, the managers should: a. allocate more funds to Division A since it is the largest of the two divisions. b. fund all of Division B's projects first since they tend to be less risky and then allocate the remaining funds to the Division A projects that have the highest net present values. c. allocate the company's funds to the projects with the highest net present values based on the firm's weighted average cost of capital. D. assign appropriate, but differing, discount rates to each project and then select the projects with the highest net present values. e. fund the highest net present value projects from each division based on an allocation of 65 percent of the funds to Division A and 35 percent of the funds to Division B. SECTION: 15.5 TOPIC: DIVISIONAL COST OF CAPITAL TYPE: CONCEPTS 28. If a firm applies its overall cost of capital to all its proposed projects, then the divisions within the firm will tend to: a. receive less funding if they represent the riskiest operations of the firm. b. avoid risky projects so that they will receive more funding. c. become less risky over time based on the projects that are accepted. d. have equal probabilities of receiving funding for their projects. E. propose higher risk projects than if separate discount rates were applied to each project. SECTION: 15.5 TOPIC: DIVISIONAL COST OF CAPITAL TYPE: CONCEPTS 15-10 Chapter 015 Cost of Capital 29. The discount rate assigned to an individual project should be based on: a. the firm's weighted average cost of capital. b. the actual sources of funding used for the project. c. an average of the firm's overall cost of capital for the past five years. d. the current risk level of the overall firm. E. the risks associated with the use of the funds utilized for the project. SECTION: 15.5 TOPIC: PROJECT COST OF CAPITAL TYPE: CONCEPTS 15-11 Chapter 015 Cost of Capital 30. Assigning discount rates to individual projects based on the risk level of each project: A. may cause the firm's overall weighted average cost of capital to either increase or decrease over time. b. will prevent the firm's overall cost of capital from changing over time. c. will cause the firm's overall cost of capital to decrease over time. d. decreases the value of the firm over time. e. negates the firm's goal of creating the most value for the shareholders. SECTION: 15.5 TOPIC: PROJECT COST OF CAPITAL TYPE: CONCEPTS 31. The cost of capital assigned to an individual project should be that rate which: a. corresponds to the risk level of the firm's division which has responsibility for the project. B. is relevant to the intended use of the funds. c. equals the firm's WACC unless the pure play approach is utilized. d. is the firm's current weighted average cost of capital. e. represents the actual sources of funds used for the project. SECTION: 15.5 TOPIC: PROJECT COST OF CAPITAL TYPE: CONCEPTS 32. Wayne's of New York specializes in clothing for female executives living and working in the financial district of New York City. Allen's of PA. specializes in clothing for women who live and work in the rural areas of Western Pennsylvania. Both firms are currently considering expanding their clothing line to encompass working women in the rural upstate region of New York state. Wayne's currently has a cost of capital of 11 percent while Allen's cost of capital is 9 percent. The expansion project has a projected net present value of $36,900 at a 9 percent discount rate and a net present value of $13,200 at an 11 percent discount rate. Which firm or firms should expand into rural New York state? a. Wayne's only b. Allen's only C. both Wayne's and Allen's d. neither Wayne's nor Allen's e. cannot be determined from the information provided SECTION: 15.5 TOPIC: PURE PLAY APPROACH TYPE: CONCEPTS 15-12 Chapter 015 Cost of Capital 33. The Jasper Mountain Co. specializes in back-country camping facilities across the nation. The Plan It Co. specializes in making travel reservations and promoting vacation travel. Jasper has an aftertax cost of capital of 12 percent and Plan It has an aftertax cost of capital of 10 percent. Both firms are considering building wilderness campgrounds complete with their own lakes and numerous mountain trails. The estimated net present value of such a project is estimated at $113,000 at a discount rate of 10 percent and $64,500 at a 12 percent discount rate. Which firm or firms, if either, should accept this project? a. Jasper only b. Plan It only c. both Jasper and Plan It D. neither Jasper nor Plan It e. cannot be determined without further information SECTION: 15.5 TOPIC: PURE PLAY APPROACH TYPE: CONCEPTS 34. The subjective approach to project analysis: a. is used only when the firm is an all-equity firm. b. uses the WACC of firm X as the basis for the discount rate for a project under consideration by firm Y. C. assigns discount rates to projects based on the discretion of the senior managers of a firm. d. allows managers to randomly adjust the discount rate assigned to a project once the project's beta has been determined. e. applies a lower discount rate to projects that are financed with internal rather than external equity. SECTION: 15.5 TOPIC: SUBJECTIVE APPROACH TYPE: CONCEPTS 15-13 Chapter 015 Cost of Capital 35. When a firm uses the subjective approach to assign discount rates to projects, the firm's managers: I. will assign its highest discount rate to those projects which are mandated by the government. II. risk accepting projects that should have been rejected. III. assign the highest discount rates to those projects the managers personally prefer. IV. generally make better decisions than they would if they applied the firm's weighted average cost of capital to all projects. a. I and III only B. II and IV only c. I, II, and III only d. II, III, and IV only e. I, II, III, and IV SECTION: 15.5 TOPIC: SUBJECTIVE APPROACH TYPE: CONCEPTS 15-14 Chapter 015 Cost of Capital 36. When a firm has flotation costs equal to 6 percent of the funding need, project analysts should: a. increase the project's discount rate to offset these expenses by multiplying the firm's WACC by 1.06. b. increase the project's discount rate to offset these expenses by dividing the firm's WACC by (1 .06). c. add 6 percent to the firm's WACC to get the discount rate for the project. d. increase the initial project cost by multiplying that cost by 1.06. E. increase the initial project cost by dividing that cost by (1 .06). SECTION: 15.6 TOPIC: FLOTATION COSTS AND WACC TYPE: CONCEPTS 37. The flotation cost for a firm is computed as: a. the arithmetic average of the flotation costs of both debt and equity. B. the weighted average of the flotation costs associated with each form of financing. c. the geometric average of the flotation costs associated with each form of financing. d. one-half of the flotation cost of debt plus one-half of the flotation cost of equity. e. a weighted average based on the book values of the firm's debt and equity. SECTION: 15.6 TOPIC: FLOTATION COSTS AND WACC TYPE: CONCEPTS 38. Incorporating flotation costs into the initial cash flow of a project will: a. cause the project to be improperly evaluated. b. increase the net present value of the project. c. increase the project's internal rate of return. D. increase the initial cash outflow of the project thereby lowering the project's net present value. e. affect the net present value but the direction of that impact cannot be determined. SECTION: 15.6 TOPIC: FLOTATION COSTS AND NPV TYPE: CONCEPTS 15-15 Chapter 015 Cost of Capital 39. Flotation costs should: a. be ignored when analyzing a project because flotation costs are not an actual cost of the project. b. be averaged over the life of the project thereby reducing the cash flows for each year of the project. c. only be considered when two projects have the same net present value. D. be included in the initial cost of a project before the net present value of the project is computed. e. be ignored totally when internal equity funding is utilized. SECTION: 15.6 TOPIC: FLOTATION COSTS AND NPV TYPE: CONCEPTS 40. Cameron Industries is expected to pay an annual dividend of $1.30 a share next month. The market price of the stock is $24.80 and the growth rate is 3 percent. What is the firm's cost of equity? a. 7.58 percent b. 7.91 percent C. 8.24 percent d. 8.40 percent e. 8.76 percent AACSB TOPIC: ANALYTIC SECTION: 15.2 TOPIC: COST OF EQUITY TYPE: PROBLEMS 15-16 Chapter 015 Cost of Capital 41. Photo Imaging, Inc. has paid annual dividends of $1.00, $1.05, $1.10, and $1.18 per share over the last four years, respectively. The stock is currently selling for $38 a share. What is this firm's cost of equity? a. 8.79 percent B. 8.96 percent c. 10.38 percent d. 10.53 percent e. 11.79 percent AACSB TOPIC: ANALYTIC SECTION: 15.2 TOPIC: COST OF EQUITY TYPE: PROBLEMS 42. Sundial Enterprises common stock is currently priced at $33.20 a share. The company just paid $1.40 per share as their annual dividend. The dividends have been increasing by 3 percent annually and are expected to continue doing so. What is the cost of equity for Sundial Enterprises? a. 7.22 percent B. 7.34 percent c. 7.49 percent d. 7.61 percent e. 7.82 percent AACSB TOPIC: ANALYTIC SECTION: 15.2 TOPIC: COST OF EQUITY TYPE: PROBLEMS 15-17 Chapter 015 Cost of Capital 43. The common stock of Jack's Hardware has a growth rate of 2 percent and a required return of 9 percent. If the current price of the stock is $24.67 what was the amount of the last dividend paid? A. $1.69 b. $1.73 c. $2.18 d. $2.22 e. $2.26 D1 = [(.09 .02) $24.67] = $1.7269; D0 = $1.7269 / 1.02 = $1.69 AACSB TOPIC: ANALYTIC SECTION: 15.2 TOPIC: COST OF EQUITY TYPE: PROBLEMS 44. The Lucini Co. has paid annual dividends of $.70, $.74, $.86, $.96, and $1.02 over the past five years respectively. What is the average dividend growth rate? a. 6.25 percent b. 7.96 percent C. 9.95 percent d. 10.35 percent e. 13.27 percent ($.74 - $.70) / $.70 = .05714 ($.86 - $.74) / $.74 = .16216 ($.96 - $.86) / $.86 = .11628 ($1.02 - $.96) / $.96 = .0625 g = (.05714 + .16216 + .11628 + .0625) / 4 = .09952 = 9.95 percent AACSB TOPIC: ANALYTIC SECTION: 15.2 TOPIC: COST OF EQUITY TYPE: PROBLEMS 15-18 Chapter 015 Cost of Capital 45. Ronald's Fast Food just paid their annual dividend of $1.05 a share. The stock has a market price of $26 and a beta of 1.15. The return on the U.S. Treasury bill is 3 percent and the market risk premium is 7 percent. What is the cost of equity? a. 7.50 percent b. 7.60 percent c. 9.15 percent D. 11.05 percent e. 11.50 percent Re = .03 + (1.15 .07) = .1105 = 11.05 percent AACSB TOPIC: ANALYTIC SECTION: 15.2 TOPIC: COST OF EQUITY TYPE: PROBLEMS 46. Old Country Lemonade has a beta of .9, a stock price of $28, and recently paid an annual dividend of $1.10 a share. The dividend growth rate is 3 percent. The market has an 11 percent rate of return and a risk premium of 7 percent. What is the average expected cost of equity for Old Country Lemonade? a. 7.05 percent B. 8.67 percent c. 9.13 percent d. 10.30 percent e. 11.33 percent AACSB TOPIC: ANALYTIC SECTION: 15.2 TOPIC: COST OF EQUITY TYPE: PROBLEMS 15-19 Chapter 015 Cost of Capital 47. HBS, Inc. has a growth rate of 6 percent and is equally as risky as the market. The stock is currently selling for $15 a share. The overall stock market has a 12 percent rate of return and a risk premium of 9 percent. What is the expected rate of return on HBS's stock? a. 6 percent b. 9 percent C. 12 percent d. 15 percent e. 18 percent Re = (.12 .09) + (1.00 .09) = 12.00 percent AACSB TOPIC: ANALYTIC SECTION: 15.2 TOPIC: COST OF EQUITY TYPE: PROBLEMS 48. The Collection Co. has a current beta of 1.6. The market risk premium is 7 percent and the risk-free rate of return is 3 percent. By how much will the cost of equity increase if the company expands their operations such that their company beta rises to 1.9? a. 0.30 percent b. 0.90 percent c. 1.50 percent D. 2.10 percent e. 2.70 percent Increase in cost of equity = (1.9 1.6) .07 = 2.10 percent AACSB TOPIC: ANALYTIC SECTION: 15.2 TOPIC: COST OF EQUITY TYPE: PROBLEMS 15-20 Chapter 015 Cost of Capital 49. The Lawson Company has a seven-year bond outstanding with a 6 percent coupon. Interest payments are paid semi-annually. The face amount of the bond is $1,000. This bond is currently selling for 101 percent of its face value. What is the company's pre-tax cost of debt? a. 4.33 percent b. 4.49 percent c. 5.68 percent D. 5.82 percent e. 5.91 percent AACSB TOPIC: ANALYTIC SECTION: 15.3 TOPIC: COST OF DEBT TYPE: PROBLEMS 50. The Fine Leather Co. has bonds outstanding that mature in nine years, have a 7 percent coupon, and pay interest annually. These bonds have a face value of $1,000 and a current market price of $1,080. What is the company's aftertax cost of debt if their tax rate is 35 percent? a. 2.04 percent B. 3.79 percent c. 5.83 percent d. 7.58 percent e. 8.12 percent AACSB TOPIC: ANALYTIC SECTION: 15.3 TOPIC: AFTERTAX COST OF DEBT TYPE: PROBLEMS 15-21 Chapter 015 Cost of Capital 51. The Fix-it Shop has zero coupon bonds outstanding that mature in three years. The bonds have a face value of $1,000 and a current market price of $860. What is the company's pre-tax cost of debt? a. 2.55 percent b. 5.09 percent C. 5.16 percent d. 10.31 percent e. 10.40 percent AACSB TOPIC: ANALYTIC SECTION: 15.3 TOPIC: COST OF DEBT TYPE: PROBLEMS 52. Your company has a bond issue outstanding with twelve years to maturity. These bonds have a $1,000 face value, a 6 percent coupon, and pay interest semi-annually. The bonds are currently quoted at 95 percent of face value. What is your company's pre-tax cost of debt if the tax rate is 34 percent? a. 3.97 percent b. 4.36 percent C. 6.61 percent d. 7.04 percent e. 8.73 percent AACSB TOPIC: ANALYTIC SECTION: 15.3 TOPIC: COST OF DEBT TYPE: PROBLEMS 15-22 Chapter 015 Cost of Capital 53. Ellie's Boutique has a bond issue outstanding that matures in fourteen years. The bonds pay interest semi-annually. Currently, the bonds are quoted at 98 percent of face value and carry an 8 percent coupon. The firm's tax rate is 35 percent. What is the firm's aftertax cost of debt? a. 2.88 percent B. 5.36 percent c. 5.45 percent d. 8.24 percent e. 10.72 percent AACSB TOPIC: ANALYTIC SECTION: 15.3 TOPIC: AFTERTAX COST OF DEBT TYPE: PROBLEMS 54. The outstanding bonds of Toy Land, Inc. are priced at $1010 and mature in ten years. These bonds have a 5 percent coupon and pay interest annually. The firm's tax rate is 34 percent. What is the firm's aftertax cost of debt? a. 3.01 percent B. 3.22 percent c. 3.35 percent d. 4.87 percent e. 5.08 percent AACSB TOPIC: ANALYTIC SECTION: 15.3 TOPIC: AFTERTAX COST OF DEBT TYPE: PROBLEMS 15-23 Chapter 015 Cost of Capital 55. Madeline's Miniatures has a zero coupon bond issue outstanding that matures in eleven years. The bonds are selling at 53 percent of par value. The company's tax rate is 35 percent. What is the company's aftertax cost of debt? a. 2.99 percent B. 3.86 percent c. 4.16 percent d. 5.94 percent e. 7.72 percent AACSB TOPIC: ANALYTIC SECTION: 15.3 TOPIC: AFTERTAX COST OF DEBT TYPE: PROBLEMS 56. Lloyd's Lumberyard has a 9 percent preferred stock outstanding that is currently selling for $54 a share. The market rate of return is 11 percent and the firm's tax rate is 35 percent. What is Lloyd's cost of preferred stock? a. 8.23 percent b. 10.83 percent c. 12.67 percent D. 16.67 percent e. 17.33 percent Rp = (.09 $100) / $54 = 16.67 percent AACSB TOPIC: ANALYTIC SECTION: 15.3 TOPIC: COST OF PREFERRED TYPE: PROBLEMS 15-24 Chapter 015 Cost of Capital 57. The Long Brothers pay $7 as the annual dividend on their preferred stock. Currently, this stock has a market value per share of $66 and a book value per share of $47. What is the cost of preferred stock? a. 7.00 percent B. 10.61 percent c. 14.00 percent d. 14.89 percent e. 18.42 percent Rp = $7 / $66 = 10.61 percent AACSB TOPIC: ANALYTIC SECTION: 15.3 TOPIC: COST OF PREFERRED TYPE: PROBLEMS 58. Antonio's Pizzeria has 8 percent preferred stock outstanding that sells for $71 a share. This stock was originally issued at $58 per share. What is Antonio's cost of preferred stock? a. 8.00 percent b. 10.50 percent C. 11.27 percent d. 13.79 percent e. 16.00 percent Rp = (.08 $100) / $71 = 11.27 percent AACSB TOPIC: ANALYTIC SECTION: 15.3 TOPIC: COST OF PREFERRED TYPE: PROBLEMS 15-25 Chapter 015 Cost of Capital 59. The Seasing Company has 1,500 bonds outstanding that are selling for $1,060 each. The company also has 5,000 shares of preferred stock at a market price of $32 each. The common stock is priced at $26 a share and there are 36,000 shares outstanding. What is the weight of the common stock as it relates to the firm's weighted average cost of capital? a. 6 percent B. 35 percent c. 41 percent d. 54 percent e. 60 percent AACSB TOPIC: ANALYTIC SECTION: 15.4 TOPIC: CAPITAL STRUCTURE WEIGHTS TYPE: PROBLEMS 60. Highpark Industrial has a $500,000 bond issue outstanding that is selling at 96 percent of face value. Highpark also has 6,500 shares of preferred stock and 22,000 shares of common stock outstanding. The preferred stock has a market price of $50 a share compared to a price of $35 a share for the common stock. What is the weight of the preferred stock as it relates to the firm's weighted average cost of capital? a. 9 percent b. 13 percent c. 17 percent D. 21 percent e. 26 percent AACSB TOPIC: ANALYTIC SECTION: 15.4 TOPIC: CAPITAL STRUCTURE WEIGHTS TYPE: PROBLEMS 15-26 Chapter 015 Cost of Capital 61. Jefferson Enterprises has 700,000 shares of common stock outstanding at a market price of $18 a share. The company also has 20,000 bonds outstanding that are quoted at 104 percent of face value. What weight should be given to the debt when Jefferson Enterprises computes their weighted average cost of capital? a. 31 percent b. 38 percent c. 50 percent D. 62 percent e. 69 percent AACSB TOPIC: ANALYTIC SECTION: 15.4 TOPIC: CAPITAL STRUCTURE WEIGHTS TYPE: PROBLEMS 15-27 Chapter 015 Cost of Capital 62. The Basket Weavers Company has 100,000 bonds outstanding that are selling at par value. Bonds with similar characteristics are yielding 7.5 percent. The company also has 1 million shares of 10.5 percent preferred stock outstanding and 5 million shares of common stock outstanding. The preferred stock sells for $56 per share. The common stock has a beta of 1.2 and sells for $38 a share. The U.S. Treasury bill is yielding 3 percent and the return on the market is 12 percent. The corporate tax rate is 34 percent. What is Basket Weaver's weighted average cost of capital? a. 10.71 percent B. 12.04 percent c. 12.78 percent d. 14.02 percent e. 14.85 percent AACSB TOPIC: ANALYTIC SECTION: 15.4 TOPIC: WEIGHTED AVERAGE COST OF CAPITAL TYPE: PROBLEMS 15-28 Chapter 015 Cost of Capital 63. Sam's Souvenir Shop has a cost of debt of 8 percent, a cost of equity of 12 percent, and a cost of preferred stock of 9 percent. The firm has 116,000 shares of common stock outstanding at a market price of $24 a share. There are 51,000 shares of preferred stock outstanding at a market price of $38 a share. The bond issue has a face value of $900,000 and a market quote of 105. The company's tax rate is 35 percent. What is the weighted average cost of capital for Sam's Souvenir Shop? a. 9.18 percent B. 9.84 percent c. 10.32 percent d. 12.59 percent e. 14.94 percent AACSB TOPIC: ANALYTIC SECTION: 15.4 TOPIC: WEIGHTED AVERAGE COST OF CAPITAL TYPE: PROBLEMS 15-29 Chapter 015 Cost of Capital 64. Blue Ribbon, Inc. wants to have a weighted average cost of capital of 10 percent. The firm has an aftertax cost of debt of 4 percent and a cost of equity of 12 percent. What debt-equity ratio is needed for the firm to achieve their targeted weighted average cost of capital? a. .25 B. .33 c. .50 d. .67 e. .75 .10 = [We We = 1 .12] + [(1 We) .04) = .12We + .04 .04We; .06 = .08We;We =.75; Wd = 1 .75 = .25; Debt-equity ratio = .25 / .75 = .33 AACSB TOPIC: ANALYTIC SECTION: 15.4 TOPIC: WEIGHTED AVERAGE COST OF CAPITAL TYPE: PROBLEMS 15-30 Chapter 015 Cost of Capital 65. Cruiseliners, Inc. has 230,000 shares of common stock outstanding at a market price of $40 a share. Next quarter, Cruiseliners' is expected to pay an annual dividend in the amount of $1.80 per share. The dividend growth rate is 3 percent. Cruiseliners' also has 8,000 bonds outstanding with a face value of $1,000 per bond. The bonds carry a 9 percent coupon, pay interest annually, and mature in 5.093 years. The bonds are selling at 102 percent of face value. The company's tax rate is 35 percent. What is Cruiseliners' weighted average cost of capital? a. 5.4 percent B. 6.6 percent c. 7.5 percent d. 8.5 percent e. 9.6 percent AACSB TOPIC: ANALYTIC SECTION: 15.4 TOPIC: WEIGHTED AVERAGE COST OF CAPITAL TYPE: PROBLEMS 15-31 Chapter 015 Cost of Capital 66. McKean, Inc. has a debt-equity ratio of .70 and a tax rate of 34 percent. The firm does not issue preferred stock. The cost of equity is 12 percent and the aftertax cost of debt is 6 percent. What is McKean's weighted average cost of capital? a. 7.3 percent b. 7.9 percent c. 8.5 percent d. 8.7 percent E. 9.5 percent AACSB TOPIC: ANALYTIC SECTION: 15.4 TOPIC: WEIGHTED AVERAGE COST OF CAPITAL TYPE: PROBLEMS 15-32 Chapter 015 Cost of Capital 67. The Woodsburg Co. maintains a debt-equity ratio of .60 and has a tax rate of 35 percent. The firm does not issue preferred stock. The firm's pre-tax cost of debt is 8.75 percent. Woodsburg Co. has 20,000 shares of stock outstanding with a beta of .9 and a market price of $30. The current market risk premium is 7 percent and the current risk-free rate is 3 percent. Last month, Woodsburg Co. issued an annual dividend in the amount of $1.25 per share. Dividends are expected to grow at 2 percent indefinitely. Using an average expected cost of equity, what is Woodsburg's weighted average cost of capital? a. 6.0 percent B. 7.0 percent c. 7.9 percent d. 8.1 percent e. 9.5 percent AACSB TOPIC: ANALYTIC SECTION: 15.4 TOPIC: WEIGHTED AVERAGE COST OF CAPITAL TYPE: PROBLEMS 15-33 Chapter 015 Cost of Capital 68. Great Sound Music, Inc. has 20,000 shares of common stock outstanding at a market price of $26 a share. This stock was originally issued at $19 per share. The firm also has a bond issue outstanding with a total face value of $300,000 which is selling for 97 percent of face value. The cost of equity is 10 percent while the aftertax cost of debt is 5 percent. The firm has a beta of 1.2 and a tax rate of 35 percent. What is Great Sound's weighted average cost of capital? a. 7.07 percent b. 7.58 percent c. 7.83 percent d. 8.16 percent E. 8.21 percent WACC = [($520,000 / $811,000) = .08206 = 8.21 percent .10] + [($291,000 / $811,000) .05] = .06412 + .01794 AACSB TOPIC: ANALYTIC SECTION: 15.4 TOPIC: WEIGHTED AVERAGE COST OF CAPITAL TYPE: PROBLEMS 69. Choice Golf Equipment has a beta of 1.2 and a cost of equity of 13 percent. The risk-free rate of return is 4 percent. Choice is considering a project with a beta of .8. An appropriate discount rate for the project is: a. 7.2 percent. b. 8.0 percent. c. 9.0 percent. D. 10.0 percent. e. 10.8 percent. .13 = .04 + (1.2 mrp); mrp = .075; RProject = .04 + (.8 AACSB TOPIC: ANALYTIC SECTION: 15.4 TOPIC: PROJECT COST OF CAPITAL TYPE: PROBLEMS 15-34 .075) = .10 = 10.0 percent Chapter 015 Cost of Capital 70. Backyard Tavern has a beta of 1.5 and a cost of equity of 13.2 percent. The risk-free rate of return is 4.2 percent. Backyard is considering a project with a beta of 1.7 and a project life of eight years. An appropriate discount rate for the project is: a. 10.80 percent. b. 12.16 percent. C. 14.40 percent. d. 15.84 percent. e. 18.00 percent. .132 = .042 + (1.5 mrp); mrp = .06; RProject = .042 + (1.7 .06) = .144 = 14.40 percent AACSB TOPIC: ANALYTIC SECTION: 15.4 TOPIC: PROJECT COST OF CAPITAL TYPE: PROBLEMS 71. Hilltop, Inc. has a capital structure which is based on 30 percent debt, 10 percent preferred stock, and 60 percent common stock. The pre-tax cost of debt is 8 percent, the cost of preferred is 9 percent, and the cost of common stock is 11 percent. The company's tax rate is 34 percent. The company is considering a project that is equally as risky as the overall firm. This project has initial costs of $250,000 and cash inflows of $94,000 a year for three years. What is the projected net present value of this project? a. $15,823.76 B. $12,414.07 c. $9,127.53 d. $1,083.19 e. $15,823.76 AACSB TOPIC: ANALYTIC SECTION: 15.4 TOPIC: CAPITAL BUDGETING PROBLEM TYPE: PROBLEMS 15-35 Chapter 015 Cost of Capital 72. Bertelli's is analyzing a project with an initial cost of $55,000 and cash inflows of $33,000 a year for two years. This project is an extension of the firm's current operations and thus is equally as risky as the current firm. The firm uses only debt and common stock to finance their operations and maintains a debt-equity ratio of .35. The aftertax cost of debt is 6 percent and the cost of equity is 11 percent. The tax rate is 34 percent. What is the projected net present value of this project? A. $2,501 b. $2,854 c. $2,913 d. $3,011 e. $3,418 AACSB TOPIC: ANALYTIC SECTION: 15.4 TOPIC: CAPITAL BUDGETING PROBLEM TYPE: PROBLEMS 15-36 Chapter 015 Cost of Capital 73. Orson, Inc. uses one-third common stock and two-thirds debt to finance their operations. The aftertax cost of debt is 6 percent and the cost of equity is 12 percent. The management of Orson, Inc. is considering a project that will produce a cash inflow of $48,000 in the first year. The cash inflows will then grow at 4 percent per year thereafter. What is the maximum amount the firm can initially invest in this project to avoid a negative net present value for the project? a. $800,000 b. $900,000 c. $1,000,000 d. $1,100,000 E. $1,200,000 AACSB TOPIC: ANALYTIC SECTION: 15.4 TOPIC: CAPITAL BUDGETING PROBLEM TYPE: PROBLEMS 15-37 Chapter 015 Cost of Capital 74. Keller's Korner is considering a new project they consider to be a little riskier than their current operations. Thus, management has decided to add an additional 2.5 percent to their company's overall cost of capital when evaluating this project. The project has an initial cash outlay of $30,000 and projected cash inflows of $12,000 in year one, $20,000 in year two, and $8,000 in year three. The firm uses 40 percent debt and 60 percent common stock as their capital structure. The company's cost of equity is 14 percent while the aftertax cost of debt for the firm is 7 percent. What is the projected net present value of the new project? A. $1,467.38 b. $2,360.46 c. $2,783.50 d. $3,904.59 e. $3,561.58 AACSB TOPIC: ANALYTIC SECTION: 15.4 TOPIC: CAPITAL BUDGETING PROBLEM TYPE: PROBLEMS 75. The Warren Corporation has an overall cost of equity of 9.5 percent and a beta of 1.3. The firm is financed 100 percent with common stock. The risk-free rate of return is 3 percent. What is an appropriate cost of capital for a division within the firm that has an estimated beta of .85? a. 5.75 percent b. 6.50 percent C. 7.25 percent d. 8.50 percent e. 9.50 percent .095 = .03 + 1.3mrp; mrp = .05; ReDivision = .03 + (.85 AACSB TOPIC: ANALYTIC SECTION: 15.5 TOPIC: DIVISIONAL COST OF CAPITAL TYPE: PROBLEMS 15-38 .05) = 7.25 percent Chapter 015 Cost of Capital 76. Production Unlimited has an overall beta of .92 and a cost of equity of 10.8 percent for the firm overall. The firm is 100 percent financed with common stock. Division A within the firm has an estimated beta of 1.47 and is the riskiest of all of the firm's operations. What is an appropriate cost of capital for division A if the market risk premium is 6 percent? a. 9.9 percent b. 11.6 percent C. 14.1 percent d. 15.9 percent e. 16.7 percent .108 = rf + (.92 .06); rf = .0528; ReDivision = .0528 + (1.47 .06) = 14.1 percent AACSB TOPIC: ANALYTIC SECTION: 15.5 TOPIC: DIVISIONAL COST OF CAPITAL TYPE: PROBLEMS 77. Company A and Company B are separate firms that are both considering a diamond exploration project. Company A is in the precious gem mining business and has an aftertax cost of capital of 13 percent. Company B is in the precious gem retail business. Company B's aftertax cost of capital is 10 percent. The project under consideration has initial costs of $315,000 and anticipated annual cash inflows of $57,000 a year for ten years. Which firm(s), if either, should accept this project? a. Company A only b. Company B only c. both Company A and Company B D. neither Company A or Company B e. cannot be determined without further information Neither Company A nor Company B should accept this project as the applicable WACC for the project is 13 percent. AACSB TOPIC: ANALYTIC SECTION: 15.5 TOPIC: PURE PLAY APPROACH TYPE: PROBLEMS 15-39 Chapter 015 Cost of Capital 78. Cooper Enterprises sells outdoor swimming pools and currently has an aftertax cost of capital of 12 percent. Reinhold's sells pool decks and has an aftertax cost of capital of 9 percent. Cooper Enterprises is considering adding pool decks as part of their sales lineup. They estimate that sales from these decks could become 15 percent of their overall sales. The initial cash outlay for this project is $75,000. The expected net cash inflows are $14,000 a year for eight years. What is the net present value of this project to Cooper Enterprises? a. -12,177.50 b. -$5,453.04 C. $2,487.47 d. $4,979.00 e. $14,110.59 AACSB TOPIC: ANALYTIC SECTION: 15.5 TOPIC: PURE PLAY APPROACH TYPE: PROBLEMS 79. Buy From Us owns a chain of retail stores that sell home furniture. Crafton, Inc. is one of the furniture manufacturers that Buy From Us uses to stock their stores. Buy From Us has a beta of 1.16 and Crafton has a beta of 1.28. The risk-free rate of return is 3 percent and the market risk premium is 7 percent. What should Buy From Us use as the project cost of capital if they want to consider manufacturing the products they sell? a. 7.64 percent b. 8.12 percent c. 9.73 percent d. 11.12 percent E. 11.96 percent Re=.03 + (1.28 .07) = 11.96 percent AACSB TOPIC: ANALYTIC SECTION: 15.5 TOPIC: PURE PLAY APPROACH TYPE: PROBLEMS 15-40 Chapter 015 Cost of Capital 80. The Wendell Co. uses 40 percent common stock, 30 percent preferred stock, and 30 percent debt as their capital structure. The flotation costs are 5 percent for debt, 9 percent for preferred stock, and 8 percent for common stock. The corporate tax rate is 35 percent. What is the weighted average flotation cost? a. 6.0 percent b. 6.4 percent c. 6.9 percent d. 7.1 percent E. 7.4 percent Average flotation cost = (.40 7.4 percent .08) + (.30 .09) + (.30 .05) = .032 + .027 +.015= .074 = AACSB TOPIC: ANALYTIC SECTION: 15.6 TOPIC: FLOTATION COST AND WEIGHTED AVERAGE COST OF CAPITAL TYPE: PROBLEMS 81. The Warren Co. has a capital structure which is based on 20 percent debt, 35 percent preferred stock, and 45 percent common stock. The flotation costs are 9 percent for common stock, 10 percent for preferred stock, and 5 percent for debt. The corporate tax rate is 34 percent. What is the weighted average flotation cost? a. 6.79 percent b. 7.55 percent c. 8.21 percent D. 8.55 percent e. 9.05 percent Average flotation cost = (.45 = 8.55 percent .09) + (.35 .10) + (.20 AACSB TOPIC: ANALYTIC SECTION: 15.6 TOPIC: FLOTATION COST TYPE: PROBLEMS 15-41 .05) = .0405 + .035 + .01 = .0855 Chapter 015 Cost of Capital 82. Harmon, Inc. has a debt-equity ratio of .80. The firm is analyzing a new project which requires an initial cash outlay of $300,000 for new equipment. The flotation cost for new equity is 9 percent and for debt 4.5 percent. What is the initial cost of the project including the flotation costs? a. $317,125 b. $320,856 c. $321,000 D. $322,581 e. $325,912 AACSB TOPIC: ANALYTIC SECTION: 15.6 TOPIC: FLOTATION COST TYPE: PROBLEMS 83. Your boss would like you to evaluate a project which requires $164,000 in external financing. The flotation cost of equity is 12 percent and the flotation cost of debt is 5 percent. You wish to maintain a debt-equity ratio of .55. What is the initial cost of the project including the flotation costs? a. $177,226 b. $178,552 c. $179,606 d. $180,337 E. $181,248 AACSB TOPIC: ANALYTIC SECTION: 15.6 TOPIC: FLOTATION COST TYPE: PROBLEMS 15-42 Chapter 015 Cost of Capital 84. Parker United is considering a project which requires an initial investment of $380,000. The firm maintains a debt-equity ratio of .40. The flotation cost of debt is 6 percent and the flotation cost of equity is 11 percent. Parker United has sufficient internally generated equity to cover the equity cost of this project. What is the initial cost of the project including the flotation costs? A. $386,628 b. $396,048 c. $411,009 d. $420,221 e. $433,333 AACSB TOPIC: ANALYTIC SECTION: 15.6 TOPIC: INTERNAL EQUITY AND FLOTATION COST TYPE: PROBLEMS 15-43 Chapter 015 Cost of Capital 85. West Minster Properties is considering a project which has an initial start up cost of $840,000. The firm maintains a debt-equity ratio of .60. The flotation cost of debt is 8 percent and the flotation cost of equity is 13 percent. The firm has sufficient internally generated equity to cover the equity cost of this project. What is the initial cost of the project including the flotation costs? A. $865,979 b. $872,418 c. $876,082 d. $803,104 e. $811,216 AACSB TOPIC: ANALYTIC SECTION: 15.6 TOPIC: INTERNAL EQUITY AND FLOTATION COST TYPE: PROBLEMS 15-44 Chapter 015 Cost of Capital Essay Questions 86. Explain the role of the weighted average cost of capital as it affects the decision to accept or reject a project. Assuming a project is equally as risky as a firm's current operations, the WACC is used as the discount rate to evaluate the NPV of a project. Therefore, having an accurate WACC is necessary to correctly determine if a project should be accepted or rejected. If a project has a different risk level than the firm's current operations, then the firm's WACC should not be used as the project's discount rate without further adjustment to that rate. AACSB TOPIC: REFLECTIVE THINKING SECTION: 15.1 AND 15.4 TOPIC: WACC 87. What are some advantages to the subjective approach and why do you think that approach is utilized? The subjective approach allows management to adjust the discount rate for individual projects based upon their evaluation of the risks associated with a particular project as compared to the overall current risk level of the firm. To try and determine a more accurate estimate of the appropriate discount rate might encounter costs that would outweigh any potential benefit. Thus, the subjective approach is used because it allows for discount rate adjustments in a cost effective manner. AACSB TOPIC: REFLECTIVE THINKING SECTION: 15.5 TOPIC: SUBJECTIVE APPROACH 15-45 Chapter 015 Cost of Capital 88. Give an example of a situation where a firm should adopt the pure play approach to determine the cost of capital for a project. Student examples will vary but should illustrate a project that is unrelated to the current operations of Firm A. The example should explain why the WACC of Firm B, which is engaged in the type of operations Firm A is considering, should be used as the basis for setting the discount rate for the proposed project. AACSB TOPIC: REFLECTIVE THINKING SECTION: 15.5 TOPIC: PURE PLAY AND SUBJECTIVE APPROACHES 15-46 Chapter 015 Cost of Capital 89. Suppose your boss comes to you and asks you to re-evaluate a capital budgeting project. The first evaluation was in error, he explains, because it ignored flotation costs. To correct for this, he asks you to evaluate the project using a higher cost of capital. Is your boss' approach correct? Why or why not? Your boss is confused since it is the use of funds, and not the source of funds, that determines the cost of capital. Flotation costs should be included in the initial cash flow for a project and not in the cost of capital. AACSB TOPIC: REFLECTIVE THINKING SECTION: 15.6 TOPIC: FLOTATION COSTS 90. Explain how the use of internal equity rather than external equity affects the analysis of a project. Internal equity avoids the flotation costs associated with raising external equity. Therefore, by utilizing internal equity rather than external equity, the initial cost of the project is decreased. Decreasing the initial cost increases the NPV of the project. AACSB TOPIC: REFLECTIVE THINKING SECTION: 15.6 TOPIC: INTERNAL EQUITY AND FLOTATION COSTS 15-47