Question 1. Which of the following is likely to increase the additional funds needed (AFN) in a given year? a. The company reduces its dividend payout ratio. b. The company’s profit margin increases. c. The company decides to reduce its reliance on accounts payable as a form of financing. d. The company is operating well below full capacity. e. All of the statements above are correct. Question 2. A firm has the following balance sheet: Cash $ 10 Accounts receivable 10 Inventories 10 Fixed assets 90 Total assets $120 Accounts payable Notes payable Long-term debt Common stock Retained earnings Total liabilities and equity $ 10 20 40 40 10 $120 Fixed assets are being used at 80 percent of capacity; sales for the year just ended were $200; sales will increase $10 per year for the next 4 years; the profit margin is 5 percent; and the dividend payout ratio is 60 percent. Assume that underutilized fixed assets cannot be sold. What are the total external financing requirements for the entire 4 years, that is, the total AFN for the 4-year period? a. $ 4.00 b. $ 2.00 c. -$ 0.80 (surplus) d. -$14.00 (surplus) e. $ 0 Question 3. Jayhawk Jets must choose one of two mutually exclusive projects. Project A has an up-front cost (t = 0) of $120,000, and it is expected to produce cash inflows of $80,000 per year at the end of each of the next two years. Two years from now, the project can be repeated at a higher up-front cost of $125,000, but the cash inflows will remain the same. Project B has an up-front cost of $100,000, and it is expected to produce cash inflows of $41,000 per year at the end of each of the next four years. Project B cannot be repeated. Both projects have a cost of capital of 10 percent. Jayhawk wants to select the project that provides the most value over the next four years. What is the net present value (NPV) of the project that creates the most value for Jayhawk? a. b. c. d. e. $34,425 $30,283 $29,964 $29,240 $24,537 Question 4. Which of the following statements is most correct? Question 9. What is Rollins' premium approach? a. b. c. d. e. cost of common stock using the bond-yield-plus-risk- 13.6% 14.1% 16.0% 16.6% 16.9% Question 10. What is Rollins' WACC? a. b. c. d. e. 13.6% 14.1% 16.0% 16.6% 16.9% NO ANSWERS FOR THE FOLLOWING: Question 11. Write down the Market Value Added formula. How do the WACC affect MVA? How does an increase in capital requirements affect MVA? Question 12. What is operating leverage? Question 1. Answer: c Remember the AFN formula is stated as: AFN = (A*/S)S - (L*/S)S (M)(S1)(RR). If the firm’s dividend payout decreases, RR will increase and AFN will decrease, not increase. Therefore, statement a is false. If M increases, AFN will decrease. Therefore, statement b is false. If the company reduces its reliance on accounts payable, then spontaneous liabilities will decrease. Thus, AFN will increase. Therefore, statement c is correct. If the company is operating well below full capacity, then it will not need new fixed assets. Therefore, spontaneous assets will be smaller and AFN will decrease. Therefore, statement d is false. Question 2. Answer: d S0 = $200; S1 = $210; S2 = $220; S3 = $230; S4 = $240. $200 SCapacity = = $250. Fixed assets will not need to be increased since 0.80 S4 < SCapacity; $240 < $250. Balance sheet solution: Cash Accounts receivable Inventories Fixed assets $ 12 12 12 90 Total assets $126 Accounts payable Notes payable Long-term debt Common stock Retained earnings Total liabilities and equity $ 12 20 40 40 28 $140 Addition to retained earnings: (S1 + S2 + S3 + S4) 0.05 0.40 = $18.00. AFN = $126 - $140 = -$14 Surplus. Formula solution: $30 $10 AFN = ($40) ($40) - (0.05)($900)(0.4) = -$14 (Surplus). $200 $200 The $900 is the sum of sales over the 4-year period. Fixed assets are not included in the formula equation since full capacity sales ($250) are never reached. Question 3. Step 1: Answer: b Determine each project’s cash flows during the 4-year period. Year 0 1 2 3 4 Step 2: Project A Cash Flows ($120,000) 80,000 80,000 – 125,000 = (45,000) 80,000 80,000 Project B Cash Flows ($100,000) 41,000 41,000 41,000 41,000 Determine each project’s NPV by entering the cash flows into the cash flow register and using 10 percent for the cost of capital. NPVA = $30,283.45 $30,283. NPVB = $29,964.48 $29,964. Therefore, Jayhawk should select Project A since it adds more value. Question 4. Answer: e Statement a is false; if you are to the left of the firm's optimal capital structure on the WACC curve, raising a company's debt ratio will actually decrease the firm's WACC. Statement b is false; if you are to the right of the firm's optimal capital structure on the WACC curve, raising a company's debt ratio will actually increase the firm's WACC. Statement c is false; as you increase the firm's debt ratio the cost of debt will increase because you're using more debt. Because you're using more debt the cost of equity increases because the firm's financial risk has increased. From statements a and b you can see that whether the WACC is increased depends on where you are on the WACC curve relative to the firm's optimal capital structure. Therefore, the correct answer is statement e. Question 5. Answer: e Diff: M Time line: 0 1 2 3 4 40 6-month rd / 2 ? ├───────────┼─────┼────────┼─────────┼───∙∙∙───────┤ Periods PMT = 60 VB = 1,000 60 60 60 60 FV = 1,000 Since the bond sells at par of $1,000, its YTM and coupon rate (12 percent) are equal. Thus, the before-tax cost of debt to Rollins is 12 percent. The after-tax cost of debt equals: rd,After-tax = 12.0%(1 - 0.40) = 7.2%. Financial calculator solution: Inputs: N = 40; PV = -1,000; PMT = 60; FV = 1,000; Output: I = 6.0% = rd/2. rd = 6.0% 2 = 12%. rd(1 - T) = 12.0%(0.6) = 7.2%. Question 6. Cost of preferred stock: Answer: d rps = $12/$100(0.95) = 12.6%. Question 7. Answer: c Cost of common stock (CAPM approach): rs = 10% + (5%)1.2 = 16.0%. Question 8. Answer: c Cost of common stock (DCF approach): $2.00(1.08) rs = + 8% = 16.0%. $27 Question 9. Cost of common stock (Bond yield-plus-risk-premium approach): rs = 12.0% + 4.0% = 16.0%. Answer: c Question 10. Answer: a WACC = wdrd(1 - T) + wpsrps + wcers = 0.2(12.0%)(0.6) + 0.2(12.6%) + 0.6(16.0%) = 13.56% 13.6%.
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