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Principles of
                    Chapter 18                     Corporate Finance
                                                             Tenth Edition




        How Much Should
         a Corporation
            Borrow?
                                                               Slides by
                                                           Matthew Will



McGraw-Hill/Irwin                Copyright © 2011 by the McGraw-Hill Companies, Inc. All rights reserved.
18-2


          Topics Covered
Corporate Taxes
Corporate and Personal Taxes
Cost of Financial Distress
Pecking Order of Financial Choices
18-3

Capital Structure & Corporate Taxes
Financial Risk - Risk to shareholders resulting from
  the use of debt.
Financial Leverage - Increase in the variability of
  shareholder returns that comes from the use of
  debt.
Interest Tax Shield- Tax savings resulting from
  deductibility of interest payments.
18-4

Capital Structure & Corporate Taxes
  The tax deductibility of interest increases the total distributed
         income to both bondholders and shareholders.
                                              Income          Income
                                           Statement of    Statement of
                                              Firm U          Firm L
    Earnings before interest and taxes            $1,000           $1,000
    Interest paid to bondholders                    -                 80
    Pretax income                                 1,000              920
    Tax at 35%                                      350              322
    Net income to stockholders                      650              598
    Total income to both bondholders and
    stockholders                           $0+650=$650     $80+598=$678

    Interest tax shield (.35 x interest)              $0             $28
18-5

Capital Structure & Corporate Taxes

                   28
  PV (tax shield)       $350
                  .08
 Interest payment return on debt X amount borrowed
                  rD D




                                         rcorporatetax rate X interest payment
                       PV (tax shield)
                                                 expected return on debt
                                         TC (rD D)
                                                      TC D
                                              rD
18-6

Capital Structure & Corporate Taxes
Example - You own all the equity of Space Babies
  Diaper Co. The company has no debt. The
  company’s annual cash flow is $900,000 before
  interest and taxes. The corporate tax rate is 35%
  You have the option to exchange 1/2 of your
  equity position for 5% bonds with a face value of
  $2,000,000.

Should you do this and why?
18-7

 Capital Structure & Corporate Taxes
Example - You own all the equity of Space Babies Diaper Co. The company
   has no debt. The company’s annual cash flow is $900,000 before interest
   and taxes. The corporate tax rate is 35% You have the option to exchange
   1/2 of your equity position for 5% bonds with a face value of $2,000,000.
Should you do this and why?



($ 1,000 s)         All Equity       1/2 Debt         Total Cash Flow
EBIT                        900               900      All Equity = 585
Interest Pmt                  0               100
Pretax Income               900               800
                                                      *1/2 Debt = 620
Taxes @ 35%                 315               280
                                                         (520 + 100)
Net Cash Flow               585               520
18-8

Capital Structure & Corporate Taxes

 PV of Tax Shield =      D x rD x Tc
                                        = D x Tc
 (assume perpetuity)
                             rD

Example:
Tax benefit = 2,000,000 x (.05) x (.35) = $35,000
PV of $35,000 in perpetuity = 35,000 / .05 = $700,000


PV Tax Shield = $2,000,000 x .35 = $700,000
18-9

 Capital Structure & Corporate Taxes
Firm Value =
   Value of All Equity Firm + PV Tax Shield

     Example
     All Equity Value = 585 / .05 = 11,700,000
                 PV Tax Shield =      700,000


     Firm Value with 1/2 Debt = $12,400,000
18-10

Capital Structure & Corporate Taxes

        Merck Balance Sheet, December 2008
               (figures in $millions)

                                 Book values
   Net working capital       4,986.2      3,943.3   Long-term debt
                                         10,175.4   Other long-term liabilities
   Long-term assets         27,890.8     18,758.3   Equity
   Total assets             32,877.0     32,877.0   Total value

                                Market values
   Net working capital       4,986.2      3,943.3   Long-term debt
   PV interest tax shield    1,380.2     10,175.4   Other long-term liabilities
   Long-term assests        72,680.6     64,928.3   Equity
   Total assets             79,047.0     79,047.0   Total value
18-11

Capital Structure & Corporate Taxes

 Merck Balance Sheet, December 2008 (figures in $millions)
                 (w/ $1 billion Debt for Equity Swap)

                                  Book values
     Net working capital       4,986.2    4,943.3   Long-term debt
                                         10,175.4   Other long-term liabilities
     Long-term assets         27,890.8   17,758.3   Equity
     Total assets             32,877.0   32,877.0   Total value

                                 Market values
     Net working capital       4,986.2    4,943.3   Long-term debt
     PV interest tax shield    1,730.2   10,175.4   Other long-term liabilities
     Long-term assests        72,680.6   64,278.3   Equity
     Total assets             79,397.0   79,397.0   Total value
18-12

   C.S. & Taxes (Personal & Corp)
                                Operating Income ($1.00)
                 Paid out as                               Or paid out as
                  interest                                 equity income


 Corporate Tax                 None                    Tc


  Income after                 $1.00               $1.00 – Tc
   Corp Taxes

Personal Taxes .                Tp               TpE (1.00-Tc)


Income after All           $1.00 – Tp        $1.00–Tc-TpE (1.00-Tc)
    Taxes                                     =(1.00-TpE)(1.00-Tc)
                       To bondholders            To stockholders
18-13

C.S. & Taxes (Personal & Corp)
Relative Advantage Formula
    ( Debt vs Equity )

               1-Tp
          (1-TpE) (1-Tc)


               Advantage
RAF > 1          Debt
RAF < 1          Equity
18-14

    C.S. & Taxes (Personal & Corp)
Example

                                             Interest   Equity Income
  Income before tax                            $1            $1
  Less corporate tax at Tc =.35                 0            0.35
  Income after corpotare tax                    1            0.65
  Personal tax at Tp = .35 and TpE = .125     0.35          0.081
  Income after all taxes                     $0.650        $0.569

                                            Advantage to debt= $ .081
18-15

   C.S. & Taxes (Personal & Corp)
Another Example

                                              Interest   Equity Income
   Income before tax                            $1            $1
   Less corporate tax at Tc =.35                 0            0.35
   Income after corpotare tax                    1            0.65
   Personal tax at Tp = .35 and Tpe = .105      0.35         0.068
   Income after all taxes                     $0.675        $0.582

                                             Advantage to debt= $ .068
18-16

    C.S. & Taxes (Personal & Corp)

Today’s RAF & Debt vs Equity preference.

                1-.33
  RAF =                      = 1.23
           (1-.16) (1-.35)



   Why are companies not all debt?
18-17


             Capital Structure
        Structure of Bond Yield Rates
        r



Bond
Yield

                                   D
                                   E
18-18

WACC w/o taxes (traditional view)

     r   Includes Bankruptcy Risk
                            rE


                     WACC



rD
                                    D
                                    V
18-19


          Financial Distress
Costs of Financial Distress - Costs arising from
 bankruptcy or distorted business decisions before
 bankruptcy.
18-20


          Financial Distress
Costs of Financial Distress - Costs arising from
 bankruptcy or distorted business decisions before
 bankruptcy.

Market Value =    Value if all Equity Financed
                  + PV Tax Shield
                  - PV Costs of Financial Distress
18-21


                           Financial Distress
                            Maximum value of firm
                                                                     Costs of
                                                                     financial distress
Market Value of The Firm




                                       PV of interest
                                         tax shields
                                                                     Value of levered firm


                            Value of
                           unlevered
                                firm

                                                   Optimal amount
                                                           of debt
                                            Debt
18-22


Default Payoff Scenarios
18-23


       Ace Limited Example
Total payoff to Ace Limited security holders. There is a $200
bankruptcy cost in the event of default (shaded area).
18-24


        Conflicts of Interest
Circular File Company has $50 of 1-year debt.


Circular File Company (Book Values)
Net W.C.             20       50    Bonds outstanding
Fixed assets         80       50    Common stock
Total assets        100      100    Total liabilities
18-25


         Conflicts of Interest
  Circular File Company has $50 of 1-year debt.


 Circular File Company (Market Values)
 Net W.C.            20         25     Bonds outstanding
 Fixed assets        10         5      Common stock
 Total assets        30         30     Total liabilities



 Why does the equity have any value ?
 Shareholders have an option -- they can obtain the
  rights to the assets by paying off the $50 debt.
18-26


        Conflicts of Interest
 Circular File Company has may invest $10 as
 follows.


  Now          Possible PayoffsNext Year
                 $120 (10% probabilit y)
Invest $10
                   $0 (90% probabilit y)
 Assume the NPV of the project is (-$2).
  What is the effect on the market values?
18-27


         Conflicts of Interest
  Circular File Company value (post project)



 Circular File Company (Market Values)
 Net W.C.            10         20     Bonds outstanding
 Fixed assets        18         8      Common stock
 Total assets        28         28     Total liabilities




 Firm value falls by $2, but equity holder gains $3
18-28


           Conflicts of Interest
  Circular File Company value (assumes a safe
  project with NPV = $5)


  Circular File Company (Market Values)
  Net W.C.            20         33     Bonds outstanding
  Fixed assets        25         12     Common stock
  Total assets        45         45     Total liabilities



 While firm value rises, the lack of a high potential payoff
  for shareholders causes a decrease in equity value.
18-29


  Financial Distress Games

Cash In and Run

Playing for Time

Bait and Switch
18-30


           Financial Choices
Trade-off Theory - Theory that capital structure is
  based on a trade-off between tax savings and
  distress costs of debt.

Pecking Order Theory - Theory stating that firms
  prefer to issue debt rather than equity if internal
  finance is insufficient.
18-31


   Trade Off Theory & Prices

1. Stock-for-debt                         Stock price
  exchange offers                         falls

  Debt-for-stock                          Stock price
  exchange offers                         rises


2. Issuing common stock drives down stock prices;
   repurchase increases stock prices.
3. Issuing straight debt has a small negative impact.
18-32


      Issues and Stock Prices
 Why do security issues affect stock price?
  The demand for a firm’s securities ought to
  be flat.


 Any firm is a drop in the bucket.
 Plenty of close substitutes.
 Large debt issues don’t significantly depress
 the stock price.
18-33


         Pecking Order Theory
Consider the following story:

  The announcement of a stock issue drives down the stock price
  because investors believe managers are more likely to issue when
  shares are overpriced.

  Therefore firms prefer internal finance since funds can be
  raised without sending adverse signals.

  If external finance is required, firms issue debt first andequity as a
  last resort.

  The most profitable firms borrow less not because they have
  lower target debt ratios but because they don't need external
  finance.
18-34


       Pecking Order Theory
Some Implications:
Internal equity may be better than external
 equity.
Financial slack is valuable.
If external capital is required, debt is better.
 (There is less room for difference in opinions
 about what debt is worth).
18-35


                   Web Resources
Click to access web sites
Internet connection required


   http://astro.temple.edu/~tub06197/Wk1Myers1984.pdf

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Chap018

  • 1. Principles of Chapter 18 Corporate Finance Tenth Edition How Much Should a Corporation Borrow? Slides by Matthew Will McGraw-Hill/Irwin Copyright © 2011 by the McGraw-Hill Companies, Inc. All rights reserved.
  • 2. 18-2 Topics Covered Corporate Taxes Corporate and Personal Taxes Cost of Financial Distress Pecking Order of Financial Choices
  • 3. 18-3 Capital Structure & Corporate Taxes Financial Risk - Risk to shareholders resulting from the use of debt. Financial Leverage - Increase in the variability of shareholder returns that comes from the use of debt. Interest Tax Shield- Tax savings resulting from deductibility of interest payments.
  • 4. 18-4 Capital Structure & Corporate Taxes The tax deductibility of interest increases the total distributed income to both bondholders and shareholders. Income Income Statement of Statement of Firm U Firm L Earnings before interest and taxes $1,000 $1,000 Interest paid to bondholders - 80 Pretax income 1,000 920 Tax at 35% 350 322 Net income to stockholders 650 598 Total income to both bondholders and stockholders $0+650=$650 $80+598=$678 Interest tax shield (.35 x interest) $0 $28
  • 5. 18-5 Capital Structure & Corporate Taxes 28 PV (tax shield) $350 .08 Interest payment return on debt X amount borrowed rD D rcorporatetax rate X interest payment PV (tax shield) expected return on debt TC (rD D) TC D rD
  • 6. 18-6 Capital Structure & Corporate Taxes Example - You own all the equity of Space Babies Diaper Co. The company has no debt. The company’s annual cash flow is $900,000 before interest and taxes. The corporate tax rate is 35% You have the option to exchange 1/2 of your equity position for 5% bonds with a face value of $2,000,000. Should you do this and why?
  • 7. 18-7 Capital Structure & Corporate Taxes Example - You own all the equity of Space Babies Diaper Co. The company has no debt. The company’s annual cash flow is $900,000 before interest and taxes. The corporate tax rate is 35% You have the option to exchange 1/2 of your equity position for 5% bonds with a face value of $2,000,000. Should you do this and why? ($ 1,000 s) All Equity 1/2 Debt Total Cash Flow EBIT 900 900 All Equity = 585 Interest Pmt 0 100 Pretax Income 900 800 *1/2 Debt = 620 Taxes @ 35% 315 280 (520 + 100) Net Cash Flow 585 520
  • 8. 18-8 Capital Structure & Corporate Taxes PV of Tax Shield = D x rD x Tc = D x Tc (assume perpetuity) rD Example: Tax benefit = 2,000,000 x (.05) x (.35) = $35,000 PV of $35,000 in perpetuity = 35,000 / .05 = $700,000 PV Tax Shield = $2,000,000 x .35 = $700,000
  • 9. 18-9 Capital Structure & Corporate Taxes Firm Value = Value of All Equity Firm + PV Tax Shield Example All Equity Value = 585 / .05 = 11,700,000 PV Tax Shield = 700,000 Firm Value with 1/2 Debt = $12,400,000
  • 10. 18-10 Capital Structure & Corporate Taxes Merck Balance Sheet, December 2008 (figures in $millions) Book values Net working capital 4,986.2 3,943.3 Long-term debt 10,175.4 Other long-term liabilities Long-term assets 27,890.8 18,758.3 Equity Total assets 32,877.0 32,877.0 Total value Market values Net working capital 4,986.2 3,943.3 Long-term debt PV interest tax shield 1,380.2 10,175.4 Other long-term liabilities Long-term assests 72,680.6 64,928.3 Equity Total assets 79,047.0 79,047.0 Total value
  • 11. 18-11 Capital Structure & Corporate Taxes Merck Balance Sheet, December 2008 (figures in $millions) (w/ $1 billion Debt for Equity Swap) Book values Net working capital 4,986.2 4,943.3 Long-term debt 10,175.4 Other long-term liabilities Long-term assets 27,890.8 17,758.3 Equity Total assets 32,877.0 32,877.0 Total value Market values Net working capital 4,986.2 4,943.3 Long-term debt PV interest tax shield 1,730.2 10,175.4 Other long-term liabilities Long-term assests 72,680.6 64,278.3 Equity Total assets 79,397.0 79,397.0 Total value
  • 12. 18-12 C.S. & Taxes (Personal & Corp) Operating Income ($1.00) Paid out as Or paid out as interest equity income Corporate Tax None Tc Income after $1.00 $1.00 – Tc Corp Taxes Personal Taxes . Tp TpE (1.00-Tc) Income after All $1.00 – Tp $1.00–Tc-TpE (1.00-Tc) Taxes =(1.00-TpE)(1.00-Tc) To bondholders To stockholders
  • 13. 18-13 C.S. & Taxes (Personal & Corp) Relative Advantage Formula ( Debt vs Equity ) 1-Tp (1-TpE) (1-Tc) Advantage RAF > 1 Debt RAF < 1 Equity
  • 14. 18-14 C.S. & Taxes (Personal & Corp) Example Interest Equity Income Income before tax $1 $1 Less corporate tax at Tc =.35 0 0.35 Income after corpotare tax 1 0.65 Personal tax at Tp = .35 and TpE = .125 0.35 0.081 Income after all taxes $0.650 $0.569 Advantage to debt= $ .081
  • 15. 18-15 C.S. & Taxes (Personal & Corp) Another Example Interest Equity Income Income before tax $1 $1 Less corporate tax at Tc =.35 0 0.35 Income after corpotare tax 1 0.65 Personal tax at Tp = .35 and Tpe = .105 0.35 0.068 Income after all taxes $0.675 $0.582 Advantage to debt= $ .068
  • 16. 18-16 C.S. & Taxes (Personal & Corp) Today’s RAF & Debt vs Equity preference. 1-.33 RAF = = 1.23 (1-.16) (1-.35) Why are companies not all debt?
  • 17. 18-17 Capital Structure Structure of Bond Yield Rates r Bond Yield D E
  • 18. 18-18 WACC w/o taxes (traditional view) r Includes Bankruptcy Risk rE WACC rD D V
  • 19. 18-19 Financial Distress Costs of Financial Distress - Costs arising from bankruptcy or distorted business decisions before bankruptcy.
  • 20. 18-20 Financial Distress Costs of Financial Distress - Costs arising from bankruptcy or distorted business decisions before bankruptcy. Market Value = Value if all Equity Financed + PV Tax Shield - PV Costs of Financial Distress
  • 21. 18-21 Financial Distress Maximum value of firm Costs of financial distress Market Value of The Firm PV of interest tax shields Value of levered firm Value of unlevered firm Optimal amount of debt Debt
  • 23. 18-23 Ace Limited Example Total payoff to Ace Limited security holders. There is a $200 bankruptcy cost in the event of default (shaded area).
  • 24. 18-24 Conflicts of Interest Circular File Company has $50 of 1-year debt. Circular File Company (Book Values) Net W.C. 20 50 Bonds outstanding Fixed assets 80 50 Common stock Total assets 100 100 Total liabilities
  • 25. 18-25 Conflicts of Interest Circular File Company has $50 of 1-year debt. Circular File Company (Market Values) Net W.C. 20 25 Bonds outstanding Fixed assets 10 5 Common stock Total assets 30 30 Total liabilities  Why does the equity have any value ?  Shareholders have an option -- they can obtain the rights to the assets by paying off the $50 debt.
  • 26. 18-26 Conflicts of Interest Circular File Company has may invest $10 as follows. Now Possible PayoffsNext Year $120 (10% probabilit y) Invest $10 $0 (90% probabilit y)  Assume the NPV of the project is (-$2). What is the effect on the market values?
  • 27. 18-27 Conflicts of Interest Circular File Company value (post project) Circular File Company (Market Values) Net W.C. 10 20 Bonds outstanding Fixed assets 18 8 Common stock Total assets 28 28 Total liabilities  Firm value falls by $2, but equity holder gains $3
  • 28. 18-28 Conflicts of Interest Circular File Company value (assumes a safe project with NPV = $5) Circular File Company (Market Values) Net W.C. 20 33 Bonds outstanding Fixed assets 25 12 Common stock Total assets 45 45 Total liabilities  While firm value rises, the lack of a high potential payoff for shareholders causes a decrease in equity value.
  • 29. 18-29 Financial Distress Games Cash In and Run Playing for Time Bait and Switch
  • 30. 18-30 Financial Choices Trade-off Theory - Theory that capital structure is based on a trade-off between tax savings and distress costs of debt. Pecking Order Theory - Theory stating that firms prefer to issue debt rather than equity if internal finance is insufficient.
  • 31. 18-31 Trade Off Theory & Prices 1. Stock-for-debt Stock price exchange offers falls Debt-for-stock Stock price exchange offers rises 2. Issuing common stock drives down stock prices; repurchase increases stock prices. 3. Issuing straight debt has a small negative impact.
  • 32. 18-32 Issues and Stock Prices  Why do security issues affect stock price? The demand for a firm’s securities ought to be flat.  Any firm is a drop in the bucket.  Plenty of close substitutes.  Large debt issues don’t significantly depress the stock price.
  • 33. 18-33 Pecking Order Theory Consider the following story: The announcement of a stock issue drives down the stock price because investors believe managers are more likely to issue when shares are overpriced. Therefore firms prefer internal finance since funds can be raised without sending adverse signals. If external finance is required, firms issue debt first andequity as a last resort. The most profitable firms borrow less not because they have lower target debt ratios but because they don't need external finance.
  • 34. 18-34 Pecking Order Theory Some Implications: Internal equity may be better than external equity. Financial slack is valuable. If external capital is required, debt is better. (There is less room for difference in opinions about what debt is worth).
  • 35. 18-35 Web Resources Click to access web sites Internet connection required http://astro.temple.edu/~tub06197/Wk1Myers1984.pdf