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CAPITAL STRUCTURE AND
FIRM VALUE

© Centre for Financial Management , Bangalore
OUTLINE
• Assumptions and Definitions
• Net Income Approach
• Net Operating Income Approach
• Traditional Position
• Modigliani and Miller Position
• Taxation and Capital Structure
• Tradeoff Theory
• Signaling Theory
© Centre for Financial Management , Bangalore
ASSUMPTIONS
To examine the relationship between capital structure and
cost of capital, the following simplifying assumptions are
commonly made:
• No income tax
• 100 percent dividend payout
• Identical subjective probability distributions of
operating income
• No growth
© Centre for Financial Management , Bangalore
FOCUS OF ANALYSIS
Annual interest charges

I
rD =

=
Market value of debt

D

Equity earnings

P
rE =

=
Market value of equity

E

Operating income

O
rA =

=
V

Market value of the firm
D

rA = rD

D+E

E
+ rE

D+E

What happens to rD, rE, and rA when financial leverage, D/E, changes?

© Centre for Financial Management , Bangalore
NET INCOME APPROACH
According to this approach, rD and rE remain unchanged when D/E
varies. The constancy of rD and rE with respect to D/E means that rA
declines as D/E increases.
Rates of
return

rE
rA

© Centre for Financial Management , Bangalore

rD

D/E
NET OPERATING INCOME APPROACH
According to this approach the overall capitalisation rate (rA) and
the cost of debt (rD) remain constant for all degrees of leverage.
Hence
rE = rA + (rA – rD) (D/E)
Rates of
return

rE

rA
rD

© Centre for Financial Management , Bangalore

D/E
TRADITIONAL POSITION
Rates of
return

rE
rA
rD

D/E

© Centre for Financial Management , Bangalore
MODIGLIANI AND MILLER (MM)
POSITION
• Perfect Capital Market
• Rational Investors and Managers
• Homogenous Expectations
• Equivalent Risk Classes
• Absence of Taxation
© Centre for Financial Management , Bangalore
MM PROPOSITION I
The value of a firm is equal to its expected operating income
divided by the discount rate appropriate to its risk class. It is
independent of its capital structure.
V = D + E = O/r
where V = market value of the firm
D = market value of debt
E = market value of equity
O = expected operating income
r = discount rate applicable to the risk class to which
the firm belongs
© Centre for Financial Management , Bangalore
MM PROPOSITION II
The expected return on equity is equal to the expected rate
of return on assets, plus a premium. The premium is equal
to the debt-equity ratio times the difference between the
expected return on assets and the expected return on debt
rE = rA + (rA – rD) (D/E)

© Centre for Financial Management , Bangalore
THE RISK-RETURN TRADEOFF
As leverage increases, equity shareholders require a higher
return because equity beta increases.

β E = β A + D/E (β A - β D)
where β E = equity beta

β A = asset beta
D/E = debt-equity ratio

β D = debt beta
© Centre for Financial Management , Bangalore
CRITICISMS OF MM THEORY
• Firms and investors pay taxes
• Bankruptcy costs can be high
• Agency costs exist
• Managers tend to prefer a certain sequence of financing
• Informational asymmetry exists
• Personal and corporate leverage are not perfect
substitutes
© Centre for Financial Management , Bangalore
CORPORATE TAXES
When taxes are applicable to corporate income, debt financing is
advantageous as interest on debt is a tax-deductible expense.
In general
O ( 1 - tC )
V =
where V
O
tC
r
D

=
=
=
=
=

+ tC D

r
value of the firm
operating income
corporate tax rate
capitalisation rate applicable to the unlevered firm
market value of debt

It means:
Value of levered firm = Value of unlevered firm + Gain from leverage
VL

=

VU

+

© Centre for Financial Management , Bangalore

tC D
CORPORATE TAXES AND
PERSONAL TAXES
When personal taxes are considered along with corporate taxes, the tax
advantage of a rupee of debt is:
(1 – tc) (1 – tpe)
1–
(1 – tpd)
where tc = corporate tax rate
tpd = personal tax rate on debt income
tpe = personal tax rate on equity income
Example : Suppose tc = 50 percent, tpe = 5 percent, and tpd = 30 percent.
The tax advantage of every rupee of debt is:
(1 – 0.5) (1 – 0.05)
1–

= 0.32 rupee
(1 – 0.3)

© Centre for Financial Management , Bangalore
COST OF FINANCIAL DISTRESS
A high level of debt may lead to financial distress that
entails certain costs:
Direct Costs
• Delay in liquidation may diminish asset value
• Distress sale fetches lower price
• Legal and administrative costs are high
Indirect Costs
• Managers become myopic
• Stakeholders dilute their commitment
© Centre for Financial Management , Bangalore
AGENCY COSTS
• There is an agency relationship between the
shareholders and creditors of firms that have
substantial amounts of debt. Hence lenders impose
restrictive covenants and monitor the behaviour of the
firm.
• The loss in efficiency on account of restrictions on
operational freedom plus the cost of monitoring (which
are almost invariably passed on to shareholders)
represent agency costs associated with debt.
© Centre for Financial Management , Bangalore
TRADEOFF MODEL
Value of
the firm

Value of the firm considering
the tax advantage of debt

Financial distress costs and
agency costs
Value of the firm considering
the tax advantage and financial
distress and agency costs
Value of the
unlevered firm

D/E

© Centre for Financial Management , Bangalore
PECKING ORDER OF FINANCING
• There is a pecking order of financing which goes as
follows:
• Internal finance (retained earnings)
• Debt finance
• External equity finance
• Given the pecking order of financing, there is no welldefined target debt-equity ratio, as there are two kinds
of equity, internal and external. While the internal
equity is at the top of the pecking order, the external
equity is at the bottom.
© Centre for Financial Management , Bangalore
SIGNALING THEORY
• Noting the inconsistency between trade-off theory and
the pecking order of financing, Myers proposed a new
theory, called the signaling, or asymmetric information,
theory of capital structure.
• A critical premise of the the trade-off theory is that all
parties have the same information and homogeneous
expectations. Myers argued that there is asymmetric
information and divergent expectations which explains
the pecking order of financing observed in practice.
© Centre for Financial Management , Bangalore

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Chapter 19 capital_structure_and_firm_value

  • 1. CAPITAL STRUCTURE AND FIRM VALUE © Centre for Financial Management , Bangalore
  • 2. OUTLINE • Assumptions and Definitions • Net Income Approach • Net Operating Income Approach • Traditional Position • Modigliani and Miller Position • Taxation and Capital Structure • Tradeoff Theory • Signaling Theory © Centre for Financial Management , Bangalore
  • 3. ASSUMPTIONS To examine the relationship between capital structure and cost of capital, the following simplifying assumptions are commonly made: • No income tax • 100 percent dividend payout • Identical subjective probability distributions of operating income • No growth © Centre for Financial Management , Bangalore
  • 4. FOCUS OF ANALYSIS Annual interest charges I rD = = Market value of debt D Equity earnings P rE = = Market value of equity E Operating income O rA = = V Market value of the firm D rA = rD D+E E + rE D+E What happens to rD, rE, and rA when financial leverage, D/E, changes? © Centre for Financial Management , Bangalore
  • 5. NET INCOME APPROACH According to this approach, rD and rE remain unchanged when D/E varies. The constancy of rD and rE with respect to D/E means that rA declines as D/E increases. Rates of return rE rA © Centre for Financial Management , Bangalore rD D/E
  • 6. NET OPERATING INCOME APPROACH According to this approach the overall capitalisation rate (rA) and the cost of debt (rD) remain constant for all degrees of leverage. Hence rE = rA + (rA – rD) (D/E) Rates of return rE rA rD © Centre for Financial Management , Bangalore D/E
  • 7. TRADITIONAL POSITION Rates of return rE rA rD D/E © Centre for Financial Management , Bangalore
  • 8. MODIGLIANI AND MILLER (MM) POSITION • Perfect Capital Market • Rational Investors and Managers • Homogenous Expectations • Equivalent Risk Classes • Absence of Taxation © Centre for Financial Management , Bangalore
  • 9. MM PROPOSITION I The value of a firm is equal to its expected operating income divided by the discount rate appropriate to its risk class. It is independent of its capital structure. V = D + E = O/r where V = market value of the firm D = market value of debt E = market value of equity O = expected operating income r = discount rate applicable to the risk class to which the firm belongs © Centre for Financial Management , Bangalore
  • 10. MM PROPOSITION II The expected return on equity is equal to the expected rate of return on assets, plus a premium. The premium is equal to the debt-equity ratio times the difference between the expected return on assets and the expected return on debt rE = rA + (rA – rD) (D/E) © Centre for Financial Management , Bangalore
  • 11. THE RISK-RETURN TRADEOFF As leverage increases, equity shareholders require a higher return because equity beta increases. β E = β A + D/E (β A - β D) where β E = equity beta β A = asset beta D/E = debt-equity ratio β D = debt beta © Centre for Financial Management , Bangalore
  • 12. CRITICISMS OF MM THEORY • Firms and investors pay taxes • Bankruptcy costs can be high • Agency costs exist • Managers tend to prefer a certain sequence of financing • Informational asymmetry exists • Personal and corporate leverage are not perfect substitutes © Centre for Financial Management , Bangalore
  • 13. CORPORATE TAXES When taxes are applicable to corporate income, debt financing is advantageous as interest on debt is a tax-deductible expense. In general O ( 1 - tC ) V = where V O tC r D = = = = = + tC D r value of the firm operating income corporate tax rate capitalisation rate applicable to the unlevered firm market value of debt It means: Value of levered firm = Value of unlevered firm + Gain from leverage VL = VU + © Centre for Financial Management , Bangalore tC D
  • 14. CORPORATE TAXES AND PERSONAL TAXES When personal taxes are considered along with corporate taxes, the tax advantage of a rupee of debt is: (1 – tc) (1 – tpe) 1– (1 – tpd) where tc = corporate tax rate tpd = personal tax rate on debt income tpe = personal tax rate on equity income Example : Suppose tc = 50 percent, tpe = 5 percent, and tpd = 30 percent. The tax advantage of every rupee of debt is: (1 – 0.5) (1 – 0.05) 1– = 0.32 rupee (1 – 0.3) © Centre for Financial Management , Bangalore
  • 15. COST OF FINANCIAL DISTRESS A high level of debt may lead to financial distress that entails certain costs: Direct Costs • Delay in liquidation may diminish asset value • Distress sale fetches lower price • Legal and administrative costs are high Indirect Costs • Managers become myopic • Stakeholders dilute their commitment © Centre for Financial Management , Bangalore
  • 16. AGENCY COSTS • There is an agency relationship between the shareholders and creditors of firms that have substantial amounts of debt. Hence lenders impose restrictive covenants and monitor the behaviour of the firm. • The loss in efficiency on account of restrictions on operational freedom plus the cost of monitoring (which are almost invariably passed on to shareholders) represent agency costs associated with debt. © Centre for Financial Management , Bangalore
  • 17. TRADEOFF MODEL Value of the firm Value of the firm considering the tax advantage of debt Financial distress costs and agency costs Value of the firm considering the tax advantage and financial distress and agency costs Value of the unlevered firm D/E © Centre for Financial Management , Bangalore
  • 18. PECKING ORDER OF FINANCING • There is a pecking order of financing which goes as follows: • Internal finance (retained earnings) • Debt finance • External equity finance • Given the pecking order of financing, there is no welldefined target debt-equity ratio, as there are two kinds of equity, internal and external. While the internal equity is at the top of the pecking order, the external equity is at the bottom. © Centre for Financial Management , Bangalore
  • 19. SIGNALING THEORY • Noting the inconsistency between trade-off theory and the pecking order of financing, Myers proposed a new theory, called the signaling, or asymmetric information, theory of capital structure. • A critical premise of the the trade-off theory is that all parties have the same information and homogeneous expectations. Myers argued that there is asymmetric information and divergent expectations which explains the pecking order of financing observed in practice. © Centre for Financial Management , Bangalore