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FINANCIAL LEVERAGE
What is it?
Financial Leverage

» The use of an amount of debt to finance
 firm’s assets in order increase expected
 earnings per share.
Consider This…


Susan Smith is the financial officer of High-Tech
Manufacturing Corporation (HTMC). The corporation
currently has no debt.

   Shares of common stock - $200,000
   Shares trade - $50/each age
   Total market capitalization = $10,000,000
   Profits per year = $1,000,000
   Required return on assets (ROA)= 10%
   ROA=ROE (since HTMC has no debt)
Consider This…
* Shareholder suggests that HTMC should issue
$5,000,000 in long term-debt at an interest rate 6%.
Proceeds of debts can repurchase half the company’s
common stock (100,000 shares of stock)
-If economy continues to grow at normal rate-----Earnings
before interest and tax (EBIT) = $1,000,000
-If economy falls into recession: EBIT = $500,000
-If economy booms---: EBIT = $1,500,000
 *Ms. Smith believes that the probability of each outcome
is 1/3, so expected value of EBIT = $1,000,000.
  Expected (EBIT)=(1/3) $1,500,000 + (1/3) $1,000,000 +(1/3)
                    $500,000 = $1,000,000
HTMC
 The Current and Proposed Capital Structures for High-Tech
               Manufacturing Corporation
HTMC
Cash Flows to Stockholders and Bondholders Under the Current
and Proposed Capital Structure for HTMC

Assume EBIT=$1,000,000
HTMC




 Expected EPS (no debt)= (1/3) $7.50 + (1/3) $5 + (1/3) $ 2.50= $5
 Expected EPS (with debt)= (1/3) $12 + (1/3) $7 + (1/3) $2 =$7
 Expected ROE (no debt)= (1/3) 15% +(1/3) 10% + (1/3) 5%= 10%
 Expected ROE (with debt)=(1/3) 24% + (1/3) 14% + (1/3) 4%= 14%
The Fundamental Principle Financial Leverage




Financial Leverage
- employing long-term debt financing
- wherein debt financing is used to magnify the impact
of change in EBIT on earnings per share.
The Fundamental Principle Financial Leverage

» Substituting long-term debt for equity in a company’s capital
  structure increases both the level of expected returns to
  shareholders(measured by ROE) and the risk of those expected
  returns.
    Leverage Increases Expected Return---But Does it Increase
                              Value?
 Recall that if HTMC recapitalized, its expected EPS increases from $5 to
 $7, likewise , expected ROE increases from 10%-14%
 * stock price will remain $50

 P=$7/.14= $50
The Fundamental Principle Financial Leverage


 • There is no unique, optimal capital structure for the
   company to maximize firm’s value.
 • Substituting debt for equity will increase the expected
   EPS, but only at the cost of higher variability with higher
   EPS volatility, shareholders will expect higher
   return, meaning that they will discount earnings at a higher
   rate.
 • These two effects essentially cancel each other out, so
   shareholders are just as happy with a capital structure that
   includes no debt as they are with that consists of equal
   propositions of debt and equity.
The Modigliano and Miller Capital Structure
                                     Irrelevance Propositions

                                                           No Taxes




                                                             No
In a world with “perfect markets”, capital                Bankruptcy
                                                            Costs
structure cannot influence firm value and is
thus irrelevant.
                                                          No Cost of
                                                          Enforcing
                                                            Debt
Made an important distinction between a firm’s business   Contracts
risk and its financial risk
Business Risk vs. Financial Risk




      Business Risk                 Financial Risk
                                    how a firm chooses
                                   to distribute that risk
      Variability of a                    between
       firms cash                    stockholders and
          flows                        bondholders
HTMC’s Business Risk


• HTMC’s business risk is determined by how its
  earnings, before interest and taxes fluctuates
  with the state of the economy.
• M&M pointed out that leverage changes neither
  the total cash flows generated by a firm, nor the
  variability of those cash flows.
  Therefore, changing leverage cannot change the
  overall value of a firm. Leverage simply
  determines how firms divide their cash flows and
  risk between stockholders and bondholders.
Proposition I: The Capital Structure Irrelevance
                                                 Proposition




The value of the firm is independent of the capital
structure and is given by capitalizing its expected net
operating income (EBIT) at the rate r.
Proposition I: The Capital Structure Irrelevance
                                                 Proposition


               V = (E + D) = EBIT / r

V = total market value of the firm
E = market value of equity
D = market value of debt
EBIT = earnings before interest and taxes
r = required return on firm’s assets
HTMC’s Market Value


V= $1,000,000/ 10%
V=$10,000,000

Firm value is thus determined by the level of
HTMC’s operating profits and by the firm’s
degree of business risk.
Proposition II: How Increasing Leverage
                                      Affects the Cost of Equity




The cost of equity capital for a levered firm =
The constant overall cost of capital + a risk premium.
Proposition II: How Increasing Leverage
                                    Affects the Cost of Equity

               re =+ ra +( ra- rd)D/E

re = required rate of return for equity.
rd = required rate of return for debt.
ra = required rate of return of a company with
100% equity (the same as the asset required rate of
return)
HTMC’s re


• For no debt outstanding:

• re =10%
• rd =6%

       re=.10+(.10-.06)$0/$10,000,000=.10=10%

• For 50%debt 50% Equity capital:

       re =10%

       re =.10+ (.10-.06)x$5,000,000/$5,000,000=.14=14%
The M&M Model with Corporate Taxes




Decide whether to retain the firm’s existing all-equity
capital structure or adopt a proposed 50% debt 50%
equity capitalization.
Cash Flows to Stockholders and Bondholders Under the Current and Proposed
Capital Structure for HTMC-with Corporate taxation

Assume:
EBIT= $1,000,000 next year
r = 10%

Tc (corporate tax rate on earnings) =35%
Unlevered and Levered Versions of HTMC

Vu = [EBIT(1-Tc)]/r
   = NI/r=$650,000/.10 = $6,500,000

  The introduction of 35% corporate profit tax causes an immediate $3,500,000
  reduction (from $10,000,000 to $6,500,000) in the market value of the current
  all-equity version of HTMC.
Determining the Present Value of Debt Tax Shields

PV Interest Tax Shields = Tc x D
                        = .35 ($5,000,000)
                        = $1,750,000

The introduction of 35% corporate profit tax causes an
immediate $3,500,000 reduction (from $10,000,000 to
$6,500,000) in the market value of the current all-equity version
of HTMC.
Vl = Vu+PVtax shield
   = Vu+TcD= $6,500,000 + $ 1,750,000
   = $8,250,000
THE M&M Model
                             with Corporate and Personal Taxes

       GL= [1-[(1- tc) (1- tPS)/1- tPB] DL

GL = Gain to leverage
tc = corporate tax rate
tPS = personal tax rate on stock capital gains   Corporations have to
tPB = personal tax rate on interest income       pay higher interest
DL = Debt of leveraged firm                      on debt
                                                 because individuals
                                                 have a tax-
                                                 disadvantage
                                                 relative to capital
                                                 gains.
THE M&M Model with Corporate and Personal Taxes

• If no tax world ----- (Tc=Tps =Tpd=0)
• In a world with only corporate taxes (Tc=.35;
  Tps=Tpd=.40)

 GL= [1-(1-.35)(1-0)/(1-.40)/(1-.40)/$ 5,000,000=
                      -.0833
Agency Cost/ Tax Shield Trade-Off Model of
                                        Corporate Leverage




Agency costs arise because of core problems such as
conflicts of interest between shareholders and
management. Shareholders wish for management to
run the company in a way that increases shareholder
value.
Other factors influencing debts: Bankruptcy Costs



        Direct Cost of           Indirect Cost of
         Bankruptcy                Bankruptcy
         out of pocket          economic losses that
       expenses directly            result from
          related to             bankruptcy but not
     bankruptcy filing and       cash outlays spent
        administration          on the process itself
Agency Cost/ Tax Shield Trade-Off Model of
                                   Corporate Leverage




VL = Vu + PV tax shield – PV
bankruptcy costs
The Asset Substitution Problem

• A problem that arises when a company exchanges its low-risk
  assets for high-risk investments.

• The transfer of assets places more risk on the debt holders without
  providing them with additional compensation. High-risk projects
  can yield higher profits, however more risk is incurred by the firm.
  The added profit may only benefit the shareholders, as the
  bondholders require only a fixed return. The increase level of risk
  does affect the bondhold.
The Underinvestment Problem

• An agency problem where a company refuses to invest in low-risk
  assets, in order to maximize their wealth at the cost of the debt
  holders. Low-risk projects provide more security for the firm's debt
  holders, since a steady stream of cash can be generated to pay off
  the lenders. The safe cash flow does not generate an excess return
  for the shareholders. As a result, the project is rejected.

• Shareholders under invest capital by refusing to participate in low-
  risk projects. This is similar to the asset substitution problem, where
  shareholders exchange low-risk assets for high-risk ones. Both
  instances will increase shareholder value at the expense of the debt
  holders. Since high-risk projects have large profits, the shareholders
  benefit from increased income, as the debt holders require only a
  fixed portion of cash flow. The problem occurs because the debt
  holders are not compensated for the additional risk.
How much debt is right for your company?




      Taxes                            Risk

                     Factors
                       to
                    Consider         Costs of
     Financial
      Slack /                        Financial
    Asset Type                       Distress
Considerations for Taxes

• Debt is Tax Deductible: Increase in Debt
  reduces the income tax paid IF the company is
  in a tax-paying position.


• However, the company has to MAKE money.
Considerations for Risk

• FINANCIAL RISK: Directly controlled by
     managers. This can be noted in the
  formula for unleveraging and levering Betas.

• OPERATING OR ASSET RISK: Can be controlled
  by managers through their choice of scale or
  size of fixed assets.
Financial Slack

• the amount of funds a firm has available to
  invest without visiting the external financial
  markets after paying interest and before
  paying dividends + Depreciation.
Conclusions

• The effect of financial leverage depends upon
   EBIT.
 • When EBIT are high, financial leverage raises
   EPS and ROE.
 • The variability of EPS and ROE is increased
   with financial leverage.

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BA 107 - FINMAN: Financial Leverage

  • 3. Financial Leverage » The use of an amount of debt to finance firm’s assets in order increase expected earnings per share.
  • 4. Consider This… Susan Smith is the financial officer of High-Tech Manufacturing Corporation (HTMC). The corporation currently has no debt. Shares of common stock - $200,000 Shares trade - $50/each age Total market capitalization = $10,000,000 Profits per year = $1,000,000 Required return on assets (ROA)= 10% ROA=ROE (since HTMC has no debt)
  • 5. Consider This… * Shareholder suggests that HTMC should issue $5,000,000 in long term-debt at an interest rate 6%. Proceeds of debts can repurchase half the company’s common stock (100,000 shares of stock) -If economy continues to grow at normal rate-----Earnings before interest and tax (EBIT) = $1,000,000 -If economy falls into recession: EBIT = $500,000 -If economy booms---: EBIT = $1,500,000 *Ms. Smith believes that the probability of each outcome is 1/3, so expected value of EBIT = $1,000,000. Expected (EBIT)=(1/3) $1,500,000 + (1/3) $1,000,000 +(1/3) $500,000 = $1,000,000
  • 6. HTMC The Current and Proposed Capital Structures for High-Tech Manufacturing Corporation
  • 7. HTMC Cash Flows to Stockholders and Bondholders Under the Current and Proposed Capital Structure for HTMC Assume EBIT=$1,000,000
  • 8. HTMC Expected EPS (no debt)= (1/3) $7.50 + (1/3) $5 + (1/3) $ 2.50= $5 Expected EPS (with debt)= (1/3) $12 + (1/3) $7 + (1/3) $2 =$7 Expected ROE (no debt)= (1/3) 15% +(1/3) 10% + (1/3) 5%= 10% Expected ROE (with debt)=(1/3) 24% + (1/3) 14% + (1/3) 4%= 14%
  • 9. The Fundamental Principle Financial Leverage Financial Leverage - employing long-term debt financing - wherein debt financing is used to magnify the impact of change in EBIT on earnings per share.
  • 10. The Fundamental Principle Financial Leverage » Substituting long-term debt for equity in a company’s capital structure increases both the level of expected returns to shareholders(measured by ROE) and the risk of those expected returns. Leverage Increases Expected Return---But Does it Increase Value? Recall that if HTMC recapitalized, its expected EPS increases from $5 to $7, likewise , expected ROE increases from 10%-14% * stock price will remain $50 P=$7/.14= $50
  • 11. The Fundamental Principle Financial Leverage • There is no unique, optimal capital structure for the company to maximize firm’s value. • Substituting debt for equity will increase the expected EPS, but only at the cost of higher variability with higher EPS volatility, shareholders will expect higher return, meaning that they will discount earnings at a higher rate. • These two effects essentially cancel each other out, so shareholders are just as happy with a capital structure that includes no debt as they are with that consists of equal propositions of debt and equity.
  • 12. The Modigliano and Miller Capital Structure Irrelevance Propositions No Taxes No In a world with “perfect markets”, capital Bankruptcy Costs structure cannot influence firm value and is thus irrelevant. No Cost of Enforcing Debt Made an important distinction between a firm’s business Contracts risk and its financial risk
  • 13. Business Risk vs. Financial Risk Business Risk Financial Risk how a firm chooses to distribute that risk Variability of a between firms cash stockholders and flows bondholders
  • 14. HTMC’s Business Risk • HTMC’s business risk is determined by how its earnings, before interest and taxes fluctuates with the state of the economy. • M&M pointed out that leverage changes neither the total cash flows generated by a firm, nor the variability of those cash flows. Therefore, changing leverage cannot change the overall value of a firm. Leverage simply determines how firms divide their cash flows and risk between stockholders and bondholders.
  • 15. Proposition I: The Capital Structure Irrelevance Proposition The value of the firm is independent of the capital structure and is given by capitalizing its expected net operating income (EBIT) at the rate r.
  • 16. Proposition I: The Capital Structure Irrelevance Proposition V = (E + D) = EBIT / r V = total market value of the firm E = market value of equity D = market value of debt EBIT = earnings before interest and taxes r = required return on firm’s assets
  • 17. HTMC’s Market Value V= $1,000,000/ 10% V=$10,000,000 Firm value is thus determined by the level of HTMC’s operating profits and by the firm’s degree of business risk.
  • 18. Proposition II: How Increasing Leverage Affects the Cost of Equity The cost of equity capital for a levered firm = The constant overall cost of capital + a risk premium.
  • 19. Proposition II: How Increasing Leverage Affects the Cost of Equity re =+ ra +( ra- rd)D/E re = required rate of return for equity. rd = required rate of return for debt. ra = required rate of return of a company with 100% equity (the same as the asset required rate of return)
  • 20. HTMC’s re • For no debt outstanding: • re =10% • rd =6% re=.10+(.10-.06)$0/$10,000,000=.10=10% • For 50%debt 50% Equity capital: re =10% re =.10+ (.10-.06)x$5,000,000/$5,000,000=.14=14%
  • 21. The M&M Model with Corporate Taxes Decide whether to retain the firm’s existing all-equity capital structure or adopt a proposed 50% debt 50% equity capitalization.
  • 22. Cash Flows to Stockholders and Bondholders Under the Current and Proposed Capital Structure for HTMC-with Corporate taxation Assume: EBIT= $1,000,000 next year r = 10% Tc (corporate tax rate on earnings) =35%
  • 23. Unlevered and Levered Versions of HTMC Vu = [EBIT(1-Tc)]/r = NI/r=$650,000/.10 = $6,500,000 The introduction of 35% corporate profit tax causes an immediate $3,500,000 reduction (from $10,000,000 to $6,500,000) in the market value of the current all-equity version of HTMC.
  • 24. Determining the Present Value of Debt Tax Shields PV Interest Tax Shields = Tc x D = .35 ($5,000,000) = $1,750,000 The introduction of 35% corporate profit tax causes an immediate $3,500,000 reduction (from $10,000,000 to $6,500,000) in the market value of the current all-equity version of HTMC. Vl = Vu+PVtax shield = Vu+TcD= $6,500,000 + $ 1,750,000 = $8,250,000
  • 25. THE M&M Model with Corporate and Personal Taxes GL= [1-[(1- tc) (1- tPS)/1- tPB] DL GL = Gain to leverage tc = corporate tax rate tPS = personal tax rate on stock capital gains Corporations have to tPB = personal tax rate on interest income pay higher interest DL = Debt of leveraged firm on debt because individuals have a tax- disadvantage relative to capital gains.
  • 26. THE M&M Model with Corporate and Personal Taxes • If no tax world ----- (Tc=Tps =Tpd=0) • In a world with only corporate taxes (Tc=.35; Tps=Tpd=.40) GL= [1-(1-.35)(1-0)/(1-.40)/(1-.40)/$ 5,000,000= -.0833
  • 27. Agency Cost/ Tax Shield Trade-Off Model of Corporate Leverage Agency costs arise because of core problems such as conflicts of interest between shareholders and management. Shareholders wish for management to run the company in a way that increases shareholder value.
  • 28. Other factors influencing debts: Bankruptcy Costs Direct Cost of Indirect Cost of Bankruptcy Bankruptcy out of pocket economic losses that expenses directly result from related to bankruptcy but not bankruptcy filing and cash outlays spent administration on the process itself
  • 29. Agency Cost/ Tax Shield Trade-Off Model of Corporate Leverage VL = Vu + PV tax shield – PV bankruptcy costs
  • 30. The Asset Substitution Problem • A problem that arises when a company exchanges its low-risk assets for high-risk investments. • The transfer of assets places more risk on the debt holders without providing them with additional compensation. High-risk projects can yield higher profits, however more risk is incurred by the firm. The added profit may only benefit the shareholders, as the bondholders require only a fixed return. The increase level of risk does affect the bondhold.
  • 31. The Underinvestment Problem • An agency problem where a company refuses to invest in low-risk assets, in order to maximize their wealth at the cost of the debt holders. Low-risk projects provide more security for the firm's debt holders, since a steady stream of cash can be generated to pay off the lenders. The safe cash flow does not generate an excess return for the shareholders. As a result, the project is rejected. • Shareholders under invest capital by refusing to participate in low- risk projects. This is similar to the asset substitution problem, where shareholders exchange low-risk assets for high-risk ones. Both instances will increase shareholder value at the expense of the debt holders. Since high-risk projects have large profits, the shareholders benefit from increased income, as the debt holders require only a fixed portion of cash flow. The problem occurs because the debt holders are not compensated for the additional risk.
  • 32. How much debt is right for your company? Taxes Risk Factors to Consider Costs of Financial Slack / Financial Asset Type Distress
  • 33. Considerations for Taxes • Debt is Tax Deductible: Increase in Debt reduces the income tax paid IF the company is in a tax-paying position. • However, the company has to MAKE money.
  • 34. Considerations for Risk • FINANCIAL RISK: Directly controlled by managers. This can be noted in the formula for unleveraging and levering Betas. • OPERATING OR ASSET RISK: Can be controlled by managers through their choice of scale or size of fixed assets.
  • 35. Financial Slack • the amount of funds a firm has available to invest without visiting the external financial markets after paying interest and before paying dividends + Depreciation.
  • 36. Conclusions • The effect of financial leverage depends upon EBIT. • When EBIT are high, financial leverage raises EPS and ROE. • The variability of EPS and ROE is increased with financial leverage.

Editor's Notes

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