Chapter 11 Class Activities - Solutions Unlocked

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Sheridan College *

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Finance

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Jan 9, 2024

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Foundations Block, H Problem 11-5 and 11- 6 Calculate After tax Cost of Debt Yield 8.00% 22% 14.00% 36% 11.50% 42% Yield 8.00% 18% 12.00% 34% 10.60% 15% Problem 11-5 and 11- 6 Solutions Output for Questions 11-5 Calculating After Tax Cost of Deb Yield 8.00% 22% 11-5. Calculate the aftertax cost of debt u Corporate Tax Rate c 11-6. Calculate the aftertax cost of debt u Corporate Tax Rate a b c Corporate Tax Rate a
14.00% 36% 11.50% 42% Solutions Output for Questions 11-6 Calculating After Tax Cost of Deb Yield 8.00% 18% 12.00% 34% 10.60% 15% b c Corporate Tax Rate a b c
of Financial Management Hirt, Danielson and Short: 12ce Solution Formula bt Marks 6.24% correct under each of the following conditions. under each of the following conditions. After tax Debt Cost ? _ 𝒅= Yield (1-t)
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8.96% correct 6.67% correct bt 6.56% correct 7.92% correct 9.01% correct After tax Debt Cost
Fou Problem 11-5 a Yield 8.00% 14.00% 11.50% Yield 8.00% 12.00% 10.60% Problem 11-5 and 11- 6 Solutions Output for Questions 11-5 Calculating A Yield 8.00% Calculate yearly gro dividend growth mo 11-5. Calculate the aftertax c 11-6. Calculate the aftertax a b c a
14.00% 11.50% Solutions Output for Questions 11-6 Calculating A Yield 8.00% 12.00% 10.60% b c a b c P_0=D_1/(K_e−𝑔)=($0.20×4)/(0.08−0.03)=$0.80/.05=$16.00" " 𝑜
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undations of Financial Management Block, Hirt, Danielson and Short: 12ce and 11- 6 22% 36% 42% 18% 34% 15% Solution After Tax Cost of Debt 22% 6.24% owth, constant growth and current price of a common share using odel cost of debt under each of the following conditions. Corporate Tax Rate cost of debt under each of the following conditions. Corporate Tax Rate Corporate Tax Rate After tax Debt Cost
36% 8.96% 42% 6.67% After Tax Cost of Debt 18% 6.56% 34% 7.92% 15% 9.01% Corporate Tax Rate After tax Debt Cost 𝑜𝑟 =$0.20/(0.02−0.0075)=$16.00
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Foundations of Fi Block, Hirt, Dan Problem 11-8 Calculate Cost of Debt with Before tax and Afte So Problem 11-8 Solutions Output for Questions 11-8: Calculating After Tax Cost of Question Cost Last Year Cost Increase Tax Rate a 9.00% 25% 0% b 9.00% 25% 30% 8. The Goodsmith Charitable Foundation, which is tax- help finance a new playground facility in Vancouver. Th that is, firms that paid 11 percent for debt last year will a. If the Goodsmith Charitable Foundation borr the aftertax cost of debt, based on its cost last b. If the receipts of the foundation were found percent because of involvement in political act of debt?
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inancial Management nielson and Short: 12ce er tax olution Formula this Year's Debt Marks 11.25% 11.25% correct correct 11.25% 7.88% correct correct -exempt, issued debt last year at 9 percent to his year the cost of debt is 25 percent higher; l be paying 13.75 percent this year. rowed money this year, what would be year and the 25 percent increase? to be taxable by CRA (at a rate of 30 tivities), what would be the aftertax cost Before tax Debt Cost After tax Debt Cost ? _ 𝒅= Yield (1-t)
Foundat B Problem 11-8 Calculate Cost of Debt with Befor Problem 11-8 Solutions Output for Questions 11-8: Calculatin Question Cost Last Year Cost Increase a 9.00% 25% b 9.00% 25% 8. The Goodsmith Charitable Foundation, help finance a new playground facility in V that is, firms that paid 11 percent for debt a. If the Goodsmith Charitable Fou the aftertax cost of debt, based on b. If the receipts of the foundation percent because of involvement in of debt?
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tions of Financial Management Block, Hirt, Danielson and Short: 12ce re tax and After tax Solution Formula ng After Tax Cost of this Year's Debt Tax Rate Marks 0% 11.25% 11.25% wrong wrong 30% 11.25% 7.88% wrong wrong which is tax-exempt, issued debt last year at 9 percent to Vancouver. This year the cost of debt is 25 percent higher; last year will be paying 13.75 percent this year. undation borrowed money this year, what would be n its cost last year and the 25 percent increase? n were found to be taxable by CRA (at a rate of 30 n political activities), what would be the aftertax cost Before tax Debt Cost After tax Debt Cost 𝐶𝑜𝑛𝑠𝑡𝑎𝑛𝑡 𝐺𝑟𝑜𝑤𝑡ℎ= 𝐴𝑣𝑒𝑟𝑎𝑔𝑒 𝑌𝑒𝑎𝑟𝑙𝑦 𝐺𝑟𝑜𝑤𝑡ℎ 𝐶𝑜𝑛𝑠𝑡𝑎𝑛𝑡 𝐺𝑟𝑜𝑤𝑡ℎ= 𝐴𝑣𝑒𝑟𝑎𝑔𝑒 𝑌𝑒𝑎𝑟𝑙𝑦 𝐺𝑟𝑜𝑤𝑡ℎ
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Foundations of Financ Block, Hirt, Danielson an Problem 11-11 Calculate bond yield and after tax cost of Solution Problem 11-11 Key Facts Par value $1,000 Year to Maturity 20 Coupon Payment $95 Current Price $920 Tax rate 25% Solutions Output for Questions 11a and 11b a Yield to maturity 10.47% b After tax Cost of Debt 7.85% 11-11.Russell Container Company has a $1,000 par v 20 years to maturity. The bond carries an annual inte currently selling for $920. Russell is in a 25 percent t to know what the aftertax cost of a new bond issue is maturity on the new issue will be the same as the yie issue because the risk and maturity date will be simil a. Compute the yield to maturity on the old issue and use th issue. b. Make the appropriate tax adjustment to determine
cial Management nd Short: 12ce bonds n Formula Marks correct correct value bond outstanding with erest payment of $95, and is tax bracket. The firm wishes s likely to be. The yield to eld to maturity on the old lar. his as the yield for the new e the aftertax cost of debt. ? _ 𝒅= Yield (1-t)
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Foundations of Financ Block, Hirt, Danielson an Problem 11-11 Calculate current price of bonds with diffe Solution Problem 11-11 Key Facts Par value $1,000 Year to Maturity 20 Coupon Payment $95 Current Price $920 Tax rate 25% Solutions Output for Questions 11a and 11b Yield to maturity 10.47% After tax Cost of Debt 7.85% 11-11.Russell Container Company has a $1,000 par v 20 years to maturity. The bond carries an annual inte currently selling for $920. Russell is in a 25 percent t to know what the aftertax cost of a new bond issue is maturity on the new issue will be the same as the yie issue because the risk and maturity date will be simil a. Compute the yield to maturity on the old issue and use th issue. b. Make the appropriate tax adjustment to determine
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cial Management nd Short: 12ce erent time to maturities n value bond outstanding with erest payment of $95, and is tax bracket. The firm wishes s likely to be. The yield to eld to maturity on the old lar. his as the yield for the new e the aftertax cost of debt.
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Foundations of Financ Block, Hirt, Danielson an Problem 11-13 Calculate bond yield and after tax cost of a. What is Terrier’s aftertax cost of debt? Solution Problem 11-13 Key Facts Par value $1,000 Yield to Maturity 10% Tax Rate 40% Question 11-13b Key Facts Yield Change % 1% New Tax rate 25% Solutions Output for Questions 11a and 11b Question 11a a After tax Cost of Debt 6.00% b New After tax Cost of Bond 6.75% 13.Terrier Company is in a 40 percent tax bracket and has that yields 10 percent to maturity. b. Assume that the yield on the bond goes down b percentage point, and due to tax reform, the corp tax rate falls to 25 percent. What is Terrier’s new cost of debt? c. Has the aftertax cost of debt gone up or down f ? _
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Question c: It has gone up. The before-tax yield is lower, but the lower tax rate reduce benefit. The reduced tax benefit more than offsets the lower rate.
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cial Management nd Short: 12ce bonds n Formula Marks correct correct s a bond outstanding by 1 porate w aftertax from part a to part b ? Explain why. _ 𝒅= Yield (1-t)
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es the tax
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Foundations of Financ Block, Hirt, Danielson an Problem 11-11 Calculate bond yield and after tax cost of a. What is Terrier’s aftertax cost of debt? Solution Problem 11-11 Key Facts Par value $1,000 Yield to Maturity 10% Tax Rate 40% Question 11-13b Key Facts Yield Change % 1% New Tax rate 25% Solutions Output for Questions 11a and 11b Question 11a a After tax Cost of Debt 6.00% b New After tax Cost of Bond 6.75% 11.Terrier Company is in a 40 percent tax bracket and has that yields 10 percent to maturity. b. Assume that the yield on the bond goes down b percentage point, and due to tax reform, the corp tax rate falls to 25 percent. What is Terrier’s new cost of debt? c. Has the aftertax cost of debt gone up or down f ? _
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cial Management nd Short: 12ce bonds n Formula Marks wrong wrong s a bond outstanding by 1 porate w aftertax from part a to part b ? Explain why. _ 𝒅= Yield (1-t)
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Foundations of F Block, Hirt, D Problem 11-16 Calculate current yield of a Preferre Problem 11-16 Key Facts P. Share Issue Price $100.00 Annual Dividends 8.00% Current Price of P Shares $75.00 Solutions Output for Questions11-16 (Cost of Preferred Shares) Current Yield of Preferred Shares 10.67% 11.The Meredith Company issued $100 par value The shares provided an 8 percent yield at the tim is now selling for $75. What is the current yield o (Disregard flotation costs.)
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Financial Management Danielson and Short: 12ce ed Share without Floatation Solution Formula correct e preferred shares 10 years ago. me of issue. Each preferred share or cost of preferred stock? ?_𝐩=𝐃_𝐩/𝐏_𝐩
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Founda Problem 11-16 Calculate current yie Problem 11-16 Key Facts P. Share Issue Price Annual Dividends Current Price of P Shares Solutions Output for Questions11-16 (Cost of Preferred Shares) Current Yield of Preferred Shares 10.67% 11.The Meredith Company issued $1 The shares provided an 8 percent yi is now selling for $75. What is the cu (Disregard flotation costs.)
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ations of Financial Management Block, Hirt, Danielson and Short: 12ce eld of a Preferred Share Solution Formula s $100.00 8.00% $75.00 wrong 100 par value preferred shares 10 years ago. ield at the time of issue. Each preferred share urrent yield or cost of preferred stock? ?_𝐩=𝐃_𝐩/𝐏_𝐩
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Foundations of Fin Block, Hirt, Dani Problem 11-18 Calculate After tax cost of debt and compa So Problem 11-18 Key Facts Before tax cost of Debt 10.50% Corporate tax rate 34.00% Preferred Share Issue Price $50.00 Preferred Dividends $4.40 Floatation Cost on Preferred Shares $2.00 Solutions Output for Questions11-16 (Cost of Preferred Shares) After Tax Cost of Debt 6.93% After tax cost of Preferred Shares 9.17% The difference in Cost 2.24% Is the Treasurer Correct Yes, the treasurer is correct 11.The treasurer of Sutton Security Systems is as income securities for her corporation. Even before assumes the aftertax cost of debt is at least 2 perc stock. Based on the following facts, is she correct? Debt can be issued at a yield of 10.5 percent, and percent. Preferred shares will be priced at $50 an flotation cost on the preferred stock is $2.00.
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nancial Management ielson and Short: 12ce ared with Cost of Preferred Share olution Formula Marks correct correct correct correct sked to compute the cost of fixed e making the calculations, she cent less than that for preferred ? the corporate tax rate is 34 nd pay a dividend of $4.40. The ?_𝐩=𝐃_𝐩/𝐏_𝐩 ("flotation expense adjutment")" " "K" _𝐩=?_𝒑/(𝟏−𝑭) ? _ 𝒅= Yield (1-t)
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Solutions Output for Questions After Tax Cost of Debt After tax cost of Preferred Shares The difference in Cost Is the Treasurer Correct 11.The treas income secu assumes the stock. Based Debt can be percent. Pre flotation cos
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Foundations of Financial Management Block, Hirt, Danielson and Short: 12ce Problem 11-18 Calculate current yield of a Preferred Share with Floatation cost Solution Problem 11-18 Formula Key Facts Before tax cost of Debt 10.50% Corporate tax rate 34.00% Preferred Share Issue Price $50.00 Preferred Dividends $4.40 Floatation Cost on Preferred Shares $2.00 s11-16 (Cost of Preferred Shares) 6.93% No, the treasurer is not correct 9.17% Yes, the treasurer is correct 2.24% Yes, the treasurer is correct surer of Sutton Security Systems is asked to compute the cost of fi urities for her corporation. Even before making the calculations, sh e aftertax cost of debt is at least 2 percent less than that for prefer d on the following facts, is she correct? e issued at a yield of 10.5 percent, and the corporate tax rate is 34 eferred shares will be priced at $50 and pay a dividend of $4.40. Th st on the preferred stock is $2.00. ?_𝐩=𝐃_𝐩/𝐏_𝐩 ?_𝐩=𝐃_𝐩/𝐏_𝐩 ("flotation expense adjutment")" " "K ? _ 𝒅= Yield (1-t)
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t wrong fixed he rred he K" _𝐩=?_𝒑/(𝟏−𝑭)
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Found Problem 11-21 Calculate cost of commo Problem 11-21 Key Facts Beginning Year Earnings (PV) Ending Year Earnings (FV) Number of Years Dividend payout ratio Current Share Price Floatation cost Solutions Output for Questions11-21 a Annual growth rate 11.00% 21.Sam’s Fine Garments sells jackets a country. Business has been good, as ind share. The earnings have grown from $ a. Determine the compo b. Based on the growth r for next year ( E 1 ). Round point. c. Assume the dividend p Round to two places to th d. The current price of th from part a and D 1 from p e. If the flotation cost is
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b Projected Next Year Earnings $2.08 c $0.83 d 16.53% e Cost of New Common Stock with Floatation 18.71% Next year Dividends (D 1 ) Cost of Equity (K e )
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dations of Financial Management Block, Hirt, Danielson and Short: 12ce on shares with and without floatation cost Solution Formula $1.00 $1.87 6.0 40% $15.00 $1.75 Marks correct and sports coats in suburban malls throughout the dicated by the six-year growth in earnings per $1.00 to $1.87. ound annual rate of growth in earnings ( n = 6). rate determined in part a , project earnings d to two places to the right of the decimal payout ratio is 40 percent. Compute D 1 . he right of the decimal point. he stock is $15. Using the growth rate ( g ) part c , compute Ke . $1.75, compute the cost of new common stock ( Kn ). K_e=D_1/P_0 +𝑔 𝑡ℎ𝑖𝑠 𝑖𝑠 𝑐𝑜𝑠𝑡 𝑜𝑓 𝑒𝑞𝑢𝑖𝑡𝑦 𝑤𝑖𝑡ℎ𝑜𝑢𝑡 𝑓𝑙𝑜𝑎𝑡𝑎𝑡𝑖𝑜𝑛 K_n=(D_1/P_0 +𝑔)(P_0/P_n ) this is cost of equity with floatation
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correct correct correct correct
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Solutions Output for Que a Annual growth rate 21.Sam’s Fine Ga the country. Busin per share. The ea a. D b. B ear the c. A Rou d. T ( g ) e. I
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b Projected Next Year Earnings c d e Cost of New Common Stock with Floatation Next year Dividends (D 1 ) Cost of Equity (K e )
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Foundations of Financial Management Block, Hirt, Danielson and Short: 12ce Problem 11-21 Calculate cost of common shares with and without floatation cost Solution Problem 11-21 Formula Key Facts Beginning Year Earnings (PV) $1.00 Ending Year Earnings (FV) $1.87 Number of Years 6.0 Dividend payout ratio 40% Current Share Price $15.00 Floatation cost $1.75 estions11-21 11.00% arments sells jackets and sports coats in suburban malls throughout ness has been good, as indicated by the six-year growth in earnings arnings have grown from $1.00 to $1.87. Determine the compound annual rate of growth in earnings ( n = 6). Based on the growth rate determined in part a , project rnings for next year ( E 1 ). Round to two places to the right of e decimal point. Assume the dividend payout ratio is 40 percent. Compute D 1 . und to two places to the right of the decimal point. The current price of the stock is $15. Using the growth rate from part a and D 1 from part c , compute Ke . If the flotation cost is $1.75, compute the cost of new common stock ( K_e=D_1/P_0 +𝑔 𝑡ℎ𝑖𝑠 𝑖𝑠 𝑐𝑜𝑠𝑡 𝑜𝑓 K_n=(D_1/P_0 +𝑔)(P_0/P_n ) this is co
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$2.08 $0.83 16.53% 18.71%
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( Kn ). 𝑒𝑞𝑢𝑖𝑡𝑦 𝑤𝑖𝑡ℎ𝑜𝑢𝑡 𝑓𝑙𝑜𝑎𝑡𝑎𝑡𝑖𝑜𝑛 ost of equity with floatation
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Found Problem 11-22 Calculate WACC Debt Preferred stock Common equity Calculate Tyler Oil Company’s weighted a Problem 11-22 Key Facts Capital Items Debt Preferred stock Common equity After tax cost of debt Cost of preferred stock Cost of common equity Solutions Output for Questions11-22 a Capital Items Cost 11.The Tyler Oil Company’s capital st The aftertax cost of debt is 7 percent; the percent; and the cost of common equity ( 13 percent.
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After tax cost of debt 7.00% Cost of preferred stock 10.00% Cost of common equity 13.00% Weighted Average Cost of capital
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dations of Financial Management Block, Hirt, Danielson and Short: 12ce 35% 15 50 average cost of capital Solution Formula Weigth 35% 15% 50% 7% 10% 13% 2 Weights Weighted costs Marks tructure is as follows: e cost of preferred stock is 10 (in the form of retained earnings) is 𝑊𝐴𝐶𝐶=𝐸/𝑉 K_𝑒+ 𝑃/𝑉 K_𝑝+ 𝐷/𝑉 K_𝑑 (1−𝑡)
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35.00% 2.45% correct correct correct 15.00% 1.50% correct correct correct 50.00% 6.50% correct correct correct 100.00% 10.45% correct correct
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Calculate Tyler Oil Sol a Capital Items 11.The Tyler Oi The aftertax cost of percent; and the co 13 percent.
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After tax cost of debt Cost of preferred stock Cost of common equity Weighted Average Cost of capital
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Foundations of Financial Management Block, Hirt, Danielson and Short: 12ce Problem 11-22 Calculate WACC Debt 35% Preferred stock 15 Common equity 50 Company’s weighted average cost of capital Solution Problem 11-22 Formula Key Facts Capital Items Weigth Debt 35% Preferred stock 15% Common equity 50% After tax cost of debt 7% Cost of preferred stock 10% Cost of common equity 13% lutions Output for Questions11-23 Cost Weights Weighted costs il Company’s capital structure is as follows: f debt is 7 percent; the cost of preferred stock is 10 ost of common equity (in the form of retained earnings) is 𝑊𝐴𝐶𝐶=𝐸/𝑉 K_𝑒+ 𝑃/𝑉 K 𝑊𝐴𝐶𝐶=𝐸/𝑉 K_𝑒+ 𝑃/𝑉 K
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7.00% 35.00% 2.45% 10.00% 15.00% 1.50% 13.00% 50.00% 6.50% 100.00% 10.45%
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t Marks wrong K_𝑝+ 𝐷/𝑉 K_𝑑 (1−𝑡) K_𝑝+ 𝐷/𝑉 K_𝑑 (1−𝑡)
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Foundations of Block, Hirt, Problem 11-23 Calculate WACC Debt 60% 5 35 Problem 11-23 Key Facts Capital Items Debt 60.00% Preferred stock 5.00% Common equity 35.00% After tax cost of debt 8.80% Cost of preferred stock 10.50% Cost of common equity 15.50% Solutions Output for Questions11-23 Capital Items Cost Weights 23.As an alternative to the capital structure shown in for Tyler Oil Company, an outside consultant has sugg modifications. Prefe rred stock mon equit y Under this new and more debt-oriented arrangemen debt is 8.8 percent, the cost of preferred stock is 10 of common equity (in the form of retained earnings) Recalculate Tyler’s weighted average cost of capital in terms of minimizing the weighted average cost of
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After tax cost of debt 8.80% 60.00% Cost of preferred stock 10.50% 5.00% Cost of common equity 15.50% 35.00% Weighted Average Cost of capital 100.00%
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f Financial Management , Danielson and Short: 12ce Solution Formula Weighted costs Marks n the previous problem gested the following nt, the aftertax cost of 0.5 percent, and the cost ) is 15.5 percent. l. Which plan is optimal f capital? 𝑊𝐴𝐶𝐶=𝐸/𝑉 K_𝑒+ 𝑃/𝑉 K_𝑝+ 𝐷/𝑉 K_𝑑 (1−𝑡)
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5.28% correct correct correct 0.53% correct correct correct 5.43% correct correct correct 11.23% correct correct
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Found Problem 11-23 Calculate WACC Debt Problem 11-23 Key Facts Capital Items Debt Preferred stock Common equity After tax cost of debt Cost of preferred stock Cost of common equity Solutions Output for Questions11-2 Capital Items Cost 23.As an alternative to the capital struct for Tyler Oil Company, an outside consult modifications. Prefe rred stock mon equit y Under this new and more debt-oriented debt is 8.8 percent, the cost of preferre of common equity (in the form of retain Recalculate Tyler’s weighted average c in terms of minimizing the weighted av
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After tax cost of debt 8.80% Cost of preferred stock 10.50% Cost of common equity 15.50% Weighted Average Cost of capital
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dations of Financial Management Block, Hirt, Danielson and Short: 12ce 60% 5 35 Solution Formula 60.00% 5.00% 35.00% 8.80% 10.50% 15.50% 23 Weights Weighted costs ture shown in the previous problem tant has suggested the following d arrangement, the aftertax cost of ed stock is 10.5 percent, and the cost ned earnings) is 15.5 percent. cost of capital. Which plan is optimal verage cost of capital? 𝑊𝐴𝐶𝐶=𝐸/𝑉 K_𝑒+ 𝑃/𝑉 K_𝑝+ 𝐷/𝑉 K_𝑑 (1−𝑡)
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60.00% 5.28% 5.00% 0.53% 35.00% 5.43% 100.00% 11.23%
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Foundat Problem 11-24 Calculate WACC Percent of Capital St Debt Preferred stock Common equity Additional Inform Bond coupon rate Bond yield Dividend, preferred Price, common Price, preferred Flotation cost, preferred Corporate growth rate Corporate tax rate Problem 11-24 Key Facts Percent caital structur Debt Given the following information, calculate the weigh Corporation. Line up the calculations in the order sh Dividend, expected common
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Preferred stock Common equity Additional Information Bond coupon rate Bond yield Dividend, expected common Dividend, preferred Price, common Price, preferred Flotation cost, preferred Corporate growth rate Corporate tax rate Solutions Output for Questions11-23 Capital Items Cost After tax cost of debt 7.70% Cost of preferred stock 10.81% Cost of common equity 14.00% Weighted Average Cost of capital
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tions of Financial Management Block, Hirt, Danielson and Short: 12ce tructure: 35% 10 55 mation: 13% 11% $3.00 $10.00 $50.00 $98.00 $5.50 8% 30% Solution Formula re Weights 35.00% hted average cost of capital for Genex hown in Table 11.1 K_e=D_1/P_0 +𝑔 𝑡ℎ𝑖𝑠 𝑖𝑠 𝑐𝑜𝑠𝑡 𝑜𝑓 𝑒𝑞𝑢𝑖𝑡𝑦 𝑤𝑖𝑡ℎ𝑜𝑢𝑡 𝑓𝑙𝑜𝑎𝑡𝑎𝑡𝑖𝑜𝑛 K_n=(D_1/P_0 +𝑔)(P_0/P_n ) this is cost of equity with floatation
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10.00% 55.00% n: 13% 11% $3.00 $10.00 $50.00 $98.00 $5.50 8.00% 30.00% Weights Weighted costs Marks 35.00% 2.70% correct correct correct 10.00% 1.08% correct correct correct 55.00% 7.70% correct correct correct 100.00% 11.48% correct correct 𝑊𝐴𝐶𝐶=𝐸/𝑉 K_𝑒+ 𝑃/𝑉 K_𝑝+ 𝐷/𝑉 K_𝑑 (1−𝑡) ? _ 𝑑= Yield (1-t) After tax cost of debt K_p=D_p/P_p Cost of Preferred Shares
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Given the following inform Corporation. Line up the ca
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Capital Items After tax cost of debt Cost of preferred stock Cost of common equity Weighted Average Cost of capital
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Foundations of Financial Managem Block, Hirt, Danielson and Short: 12ce Problem 11-24 Calculate WACC Percent of Capital Structure: Debt 35% Preferred stock 10 Common equity 55 Additional Information: Bond coupon rate 13% Bond yield 11% $3.00 Dividend, preferred $10.00 Price, common $50.00 Price, preferred $98.00 Flotation cost, preferred $5.50 Corporate growth rate 8% Corporate tax rate 30% Solution Problem 11-24 Formula Key Facts Percent caital structure Weights Debt 35.00% mation, calculate the weighted average cost of capital for Genex alculations in the order shown in Table 11.1 Dividend, expected common K_e=D_1/P_0 +𝑔 𝑡ℎ𝑖𝑠 𝑖𝑠 𝑐𝑜
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Preferred stock 10.00% Common equity 55.00% Additional Information: Bond coupon rate 13% Bond yield 11% Dividend, expected common $3.00 Dividend, preferred $10.00 Price, common $50.00 Price, preferred $98.00 Flotation cost, preferred $5.50 Corporate growth rate 8.00% Corporate tax rate 30.00% Solutions Output for Questions11-23 Cost Weights Weighted costs 7.70% 35.00% 2.70% 10.81% 10.00% 1.08% 14.00% 55.00% 7.70% 100.00% 11.48% 𝑊𝐴𝐶𝐶=𝐸/𝑉 K_𝑒+ 𝑃/𝑉 K_𝑝 ? _ 𝑑= Yield (1-t) After K_p=D_p/P_p Cost o
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ment 𝑜𝑠𝑡 𝑜𝑓 𝑒𝑞𝑢𝑖𝑡𝑦 𝑤𝑖𝑡ℎ𝑜𝑢𝑡 𝑓𝑙𝑜𝑎𝑡𝑎𝑡𝑖𝑜𝑛
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𝑝+ 𝐷/𝑉 K_𝑑 (1−𝑡) tax cost of debt of Preferred Shares
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Foundat Problem 11-29 Calculate WACC Data on Bond Issues Issue Rating Utilities: Bell Canada 6.17%, 2037 BBB (high) Epcor 6.65%, 2038 A (low) Hydro One 6.03%, 2039 A (high) Industrials: Loblaw 5.90%, 2036 BBB Suncor 5.39, 2037 A (low) 29. Western Electric Utility Company faces increasing an A (low) credit rating. The corporate tax rate is 25 per to determine the corporation’s current weighted averag profitability of capital budgeting projects. Historically, th dividends per share have increased at about a 6 percent Western Electric’s common stock is selling at $60 per sh $4.50 per share dividend ( D 1 ). The company’s $100 pref percent in the current market. Flotation costs for the co investment dealer to be $1.50 for preferred stock. The c is 40 percent debt, 10 percent preferred stock, and 50 p retained earnings. Refer to the table below on bond issu of equal risks to Western Electric, maturing in 2038. Com and d from the information given. a. Cost of debt, Kd b. Cost of preferred stock, Kp
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Problem 11-29 Key Facts Percent caital structur Debt Preferred stock Common equity Additional Information Bond yield Dividend, expected common Dividend, preferred Price, common Price, preferred Flotation cost, preferred Corporate growth rate Corporate tax rate Solutions Output for Questions11-29 Capital Items Cost After tax cost of debt 2.13% Cost of preferred stock 9.14% Cost of common equity 13.50% Weighted Average Cost of capital c. Cost of common equity in the form of retain d. Weighted average cost of capital
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tions of Financial Management Block, Hirt, Danielson and Short: 12ce Price Yield to Maturity 133.21 3.56 154.19 2.84 128.91 2.76 130.81 3.39 128.76 3.2 g needs for capital. Fortunately, it has rcent. Western’s treasurer is trying ge cost of capital to assess the he corporation’s earnings and t annual rate. hare, and the company will pay a ferred stock has been yielding 9 ompany have been estimated by its company’s optimum capital structure percent common equity in the form of ues for comparative yields on bonds mpute the values for parts a , b , c ,
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Solution Formula re Weights 40.00% 10.00% 50.00% n: 2.84% $4.50 9.00% $60.00 $100.00 $1.50 6.00% 25.00% Weights Weighted costs Marks 40.00% 0.85% correct correct correct 10.00% 0.91% correct correct correct 50.00% 6.75% correct correct correct 100.00% 8.52% correct correct ned earnings, Ke 𝑊𝐴𝐶𝐶=𝐸/𝑉 K_𝑒+ 𝑃/𝑉 K_𝑝+ 𝐷/𝑉 K_𝑑 (1−𝑡) K_e=D_1/P_0 +𝑔 𝑡ℎ𝑖𝑠 𝑖𝑠 𝑐𝑜𝑠𝑡 𝑜𝑓 𝑒𝑞𝑢𝑖𝑡𝑦 𝑤𝑖𝑡ℎ𝑜𝑢𝑡 𝑓𝑙𝑜𝑎𝑡𝑎𝑡𝑖𝑜𝑛 ? _ 𝑑= Yield (1-t) After tax cost of debt K_p=D_p/P_p Cost of Preferred Shares K_n=(D_1/P_0 +𝑔)(P_0/P_n ) this is cost of equity with floatation
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Francis Fasanu: Note that the cost of debt is related to the cost of debt for other debt issues of the same risk class. Although, in actuality, the rate Western Electric might pay will not be exactly equal to Epcor, it should be close enough to serve as an approximation. Both are utilities that are rated A.
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Issue Utilities: Bell Canada 6.17%, 2037 Epcor 6.65%, 2038 Hydro One 6.03%, 2039 Industrials: Loblaw 5.90%, 2036 Suncor 5.39, 2037 29. Western Electric Utility C an A (low) credit rating. The c to determine the corporation’s profitability of capital budgetin dividends per share have incre Western Electric’s common sto $4.50 per share dividend ( D 1 ). percent in the current market. investment dealer to be $1.50 is 40 percent debt, 10 percent retained earnings. Refer to the of equal risks to Western Elect and d from the information giv a. Cost of debt, Kd b. Cost of preferred
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Capital Items After tax cost of debt Cost of preferred stock Cost of common equity Weighted Average Cost of capital c. Cost of common e d. Weighted average
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Foundations of Financial Managem Block, Hirt, Danielson and Short: 12ce Problem 11-29 Calculate WACC Data on Bond Issues Rating Price Yield to Maturity BBB (high) 133.21 3.56 A (low) 154.19 2.84 A (high) 128.91 2.76 BBB 130.81 3.39 A (low) 128.76 3.2 Company faces increasing needs for capital. Fortunately, it has corporate tax rate is 25 percent. Western’s treasurer is trying s current weighted average cost of capital to assess the ng projects. Historically, the corporation’s earnings and eased at about a 6 percent annual rate. ock is selling at $60 per share, and the company will pay a . The company’s $100 preferred stock has been yielding 9 . Flotation costs for the company have been estimated by its for preferred stock. The company’s optimum capital structure t preferred stock, and 50 percent common equity in the form of e table below on bond issues for comparative yields on bonds tric, maturing in 2038. Compute the values for parts a , b , c , ven. d stock, Kp
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Solution Problem 11-29 Formula Key Facts Percent caital structure Weights Debt 40.00% Preferred stock 10.00% Common equity 50.00% Additional Information: Bond yield 2.84% Dividend, expected common $4.50 Dividend, preferred 9.00% Price, common $60.00 Price, preferred $100.00 Flotation cost, preferred $1.50 Corporate growth rate 6.00% Corporate tax rate 25.00% Solutions Output for Questions11-29 Cost Weights Weighted costs 2.13% 40.00% 0.85% 9.14% 10.00% 0.91% 13.50% 50.00% 6.75% 100.00% 8.52% equity in the form of retained earnings, Ke e cost of capital 𝑊𝐴𝐶𝐶=𝐸/𝑉 K_𝑒+ 𝑃/𝑉 K_𝑝+ ? _ 𝑑= Yield (1-t) After tax co K_p=D_p/P_p Cost of Pref K_e=D_1/P_0 +𝑔 𝑡ℎ𝑖𝑠 𝑖𝑠 𝑐𝑜𝑠𝑡 K_p=D_p/P_p Cost of Pref
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ment
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+ 𝐷/𝑉 K_𝑑 (1−𝑡) ost of debt ferred Shares 𝑜𝑓 𝑒𝑞𝑢𝑖𝑡𝑦 𝑤𝑖𝑡ℎ𝑜𝑢𝑡 𝑓𝑙𝑜𝑎𝑡𝑎𝑡𝑖𝑜𝑛 ferred Shares Francis Fasanu: Note that the cost of debt is related to the co of debt for other debt issues of the same risk class. Although, in actuality, the rate Western Electric might pay will not be exactly equal to Epcor, it should be close enough to serve as a approximation. Both are utilities that are rate A.
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ost k n o an ed
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Foundat Problem 11-32 Calculate WACC Problem 11-32 Key Facts Percent caital structur Debt Preferred stock Common equity Additional Information for Initi Bond yield 32. The Evans Corporation finds that it is neces Evans’ current capital structure calls for 30 perc percent common equity. Initially, common equity then new common stock ( Kn ). The costs of the va percent; preferred stock, 9.4 percent; retained ea percent. a. What is the initial weighted avera and common equity in the form of retain b. If the firm has $20 million in reta will the firm run out of retained earning c. What will the marginal cost of ca remain at 60 percent of the capital struc stock, Kn .) d. The 6.2 percent cost of debt refer of debt. After that, the cost of debt will b there be a change in the cost of debt? e. What will the marginal cost of ca the facts in both parts c and d .)
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Cost of preferred shares Cost of Retained Earnings Retained Eraning Cost of New Common Shares Cost of Debt after the first $36m Questions11-32a: Initial WACC Capital Items Cost After tax cost of debt 6.20% Cost of preferred stock 9.40% Cost of Retained earnings 12.00% Weighted Average Cost of capital Questions11-32b: Investment to Exhaust Retained Earnings Weight of Equity 60.00% Amount of Retained earnings $2,000,000.00 $3,333,333.33 Questions11-32c: New WACC with New Common Capital Items Cost After tax cost of debt 6.20% Cost of preferred stock 9.40% Cost of common equity 13.40% Weighted Average Cost of capital Questions11-32d: Investment to Triger Increase Debt Cost Weight of Debt 30.00% Amount of Debt to Triger Increase $36,000,000.00 Amount of Debt to triger Increase in Cost Total investment Amount to Exhaust Retained earnings
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$120,000,000.00 Questions11-32e: New WACC with Increased Cost Capital Items Cost After tax cost of debt 7.80% Cost of preferred stock 9.40% Cost of common equity 13.40% Weighted Average Cost of capital Total investment Amount to Triger Increase in Fdebt Cost
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tions of Financial Management Block, Hirt, Danielson and Short: 12ce Solution Formula re Weights 30.00% 10.00% 60.00% ial WACC: 6.20% ssary to determine its marginal cost of capital. cent debt, 10 percent preferred stock, and 60 will be in the form of retained earnings ( Ke ) and arious sources of financing are as follows: debt, 6.2 arnings, 12 percent; and new common stock, 13.4 age cost of capital? (Include debt, preferred stock, ned earnings, Ke .) ained earnings, at what size of investment gs? apital be immediately after that point? (Equity will cture, but it will all be in the form of new common rred to above applies only to the first $36 million be 7.8 percent. At what size of investment will apital be immediately after that point? (Consider K_e=D_1/P_0 +𝑔 𝑡ℎ𝑖𝑠 𝑖𝑠 𝑐𝑜𝑠𝑡 𝑜𝑓 𝑒𝑞𝑢𝑖𝑡𝑦 𝑤𝑖𝑡ℎ𝑜𝑢𝑡 𝑓𝑙𝑜𝑎𝑡𝑎𝑡𝑖𝑜𝑛 ? _ 𝑑= Yield (1-t) After tax cost of debt K_p=D_p/P_p Cost of Preferred Shares K_n=(D_1/P_0 +𝑔)(P_0/P_n ) this is cost of equity with floatation
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9.40% 12.00% $2,000,000.00 13.40% 7.80% $36,000,000.00 Weights Weighted costs Marks 30.00% 1.86% correct correct correct 10.00% 0.94% correct correct correct 60.00% 7.20% correct correct correct 100.00% 10.00% correct correct correct correct correct Shares Weights Weighted costs 30.00% 1.86% correct correct correct 10.00% 0.94% correct correct correct 60.00% 8.04% correct correct correct 100.00% 10.84% correct correct correct correct 𝑊𝐴𝐶𝐶=𝐸/𝑉 K_𝑒+ 𝑃/𝑉 K_𝑝+ 𝐷/𝑉 K_𝑑 (1−𝑡) K_p=D_p/P_p Cost of Preferred Shares
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correct t of Debt Weights Weighted costs 30.00% 2.34% correct correct correct 10.00% 0.94% correct correct correct 60.00% 8.04% correct correct correct 100.00% 11.32% correct correct
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26. The Evans Corpo Evans’ current capital s percent common equity then new common stoc percent; preferred stoc percent. a. What is and common e b. If the fi will the firm ru c. What w remain at 60 p stock, Kn .) d. The 6.2 of debt. After there be a cha e. What w the facts in bo
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Capital Items After tax cost of debt Cost of preferred stock Cost of Retained earnings Weighted Average Cost of capital Questions11-32b: Investment to E Weight of Equity Amount of Retained earnings Questions Capital Items After tax cost of debt Cost of preferred stock Cost of common equity Weighted Average Cost of capital Questions11-32d: Investment to Weight of Debt Amount of Debt to Triger Increase Total investment Amount to Exhaust Retained earnings
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Questions Capital Items After tax cost of debt Cost of preferred stock Cost of common equity Weighted Average Cost of capital Total investment Amount to Triger Increase in Fdebt Cost
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Foundations of Financial Managem Block, Hirt, Danielson and Short: 12ce Problem 11-29 Calculate WACC Solution Problem 11-29 Formula Key Facts Percent caital structure Weights Debt 30.00% Preferred stock 10.00% Common equity 60.00% Additional Information for Initial WACC: Bond yield 6.20% oration finds that it is necessary to determine its marginal cost o structure calls for 30 percent debt, 10 percent preferred stock, y. Initially, common equity will be in the form of retained earning ck ( Kn ). The costs of the various sources of financing are as follow ck, 9.4 percent; retained earnings, 12 percent; and new common s the initial weighted average cost of capital? (Include debt, pre equity in the form of retained earnings, Ke .) firm has $20 million in retained earnings, at what size of investm un out of retained earnings? will the marginal cost of capital be immediately after that point? percent of the capital structure, but it will all be in the form of n 2 percent cost of debt referred to above applies only to the first $ that, the cost of debt will be 7.8 percent. At what size of investm ange in the cost of debt? will the marginal cost of capital be immediately after that point? oth parts c and d .) ? _ 𝑑= Yield (1-t) After tax co K_p=D_p/P_p Cost of Pref K_e=D_1/P_0 +𝑔 𝑡ℎ𝑖𝑠 𝑖𝑠 𝑐𝑜𝑠𝑡 K_p=D_p/P_p Cost of Pref K_e=D_1/P_0 +𝑔 𝑡ℎ𝑖𝑠 𝑖𝑠 𝑐𝑜𝑠𝑡 ? _ 𝑑= Yield (1-t) After tax cost K_p=D_p/P_p Cost of Pr K_n=(D_1/P_0 +𝑔)(P_0/P_n ) thi
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Cost of preferred shares 9.40% Cost of Retained Earnings 12.00% Retained Eraning $2,000,000.00 Cost of New Common Shares 13.40% Cost of Debt after the first $36m 7.80% $36,000,000.00 Questions11-32a: Initial WACC Cost Weights Weighted costs 6.20% 30.00% 1.86% 9.40% 10.00% 0.94% 12.00% 60.00% 7.20% 100.00% 10.00% Exhaust Retained Earnings 60.00% $2,000,000.00 $3,333,333.33 s11-32c: New WACC with New Common Shares Cost Weights Weighted costs 6.20% 30.00% 1.86% 9.40% 10.00% 0.94% 13.40% 60.00% 8.04% 100.00% 10.84% Triger Increase Debt Cost 30.00% $36,000,000.00 Amount of Debt to triger Increase in Cost 𝑊𝐴𝐶𝐶=𝐸/𝑉 K_𝑒+ 𝑃/𝑉 K_𝑝+ K_p=D_p/P_p Cost of Pref 𝑊𝐴𝐶𝐶=𝐸/𝑉 K_𝑒+ 𝑃/𝑉 K_𝑝 K_p=D_p/P_p Cost of Pr
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$120,000,000.00 s11-32e: New WACC with Increased Cost of Debt Cost Weights Weighted costs 7.80% 30.00% 2.34% 9.40% 10.00% 0.94% 13.40% 60.00% 8.04% 100.00% 11.32%
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ment of capital. and 60 gs ( Ke ) and ws: debt, 6.2 n stock, 13.4 eferred stock, ment ? (Equity will new common $36 million ment will (Consider ost of debt ferred Shares 𝑜𝑓 𝑒𝑞𝑢𝑖𝑡𝑦 𝑤𝑖𝑡ℎ𝑜𝑢𝑡 𝑓𝑙𝑜𝑎𝑡𝑎𝑡𝑖𝑜𝑛 ferred Shares 𝑜𝑓 𝑒𝑞𝑢𝑖𝑡𝑦 𝑤𝑖𝑡ℎ𝑜𝑢𝑡 𝑓𝑙𝑜𝑎𝑡𝑎𝑡𝑖𝑜𝑛 t of debt referred Shares is is cost of equity with floatation
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+ 𝐷/𝑉 K_𝑑 (1−𝑡) ferred Shares 𝑝+ 𝐷/𝑉 K_𝑑 (1−𝑡) referred Shares
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