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Capital Structure
By Dr. B. Krishna Reddy
Professor and Head_SKIM
• Capital Structure concept
• Capital Structure planning
• Concept of Value of a Firm
• Significance of Cost of
Capital (WACC)
Capital Structure
Coverage –
• Capital Structure theories –
 Net Income
 Net Operating Income
 Modigliani-Miller
 Traditional Approach
Capital structure can be defined as the mix of owned
capital (equity, reserves & surplus) and borrowed capital
(debentures, loans from banks, financial institutions)
Maximization of shareholders’ wealth is prime objective
of a financial manager. The same may be achieved if an
optimal capital structure is designed for the company.
Planning a capital structure is a highly psychological,
complex and qualitative process.
It involves balancing the shareholders’ expectations
(risk & returns) and capital requirements of the firm.
Capital Structure
Planning the Capital Structure
Important Considerations –
 Return: ability to generate maximum returns to the shareholders,
i.e. maximize EPS and market price per share.
 Cost: minimizes the cost of capital (WACC). Debt is cheaper than
equity due to tax shield on interest & no benefit on dividends.
 Risk: insolvency risk associated with high debt component.
 Control: avoid dilution of management control, hence debt
preferred to new equity shares.
 Flexible: altering capital structure without much costs & delays,
to raise funds whenever required.
 Capacity: ability to generate profits to pay interest and principal.
 Value of a firm depends upon earnings of a firm and its
cost of capital (i.e. WACC).
 Earnings are a function of investment decisions, operating
efficiencies, & WACC is a function of its capital structure.
 Value of firm is derived by capitalizing the earnings by its
cost of capital (WACC). Value of Firm = Earnings / WACC
 Thus, value of a firm varies due to changes in the earnings
of a company or its cost of capital, or both.
 Capital structure cannot affect the total earnings of a firm
(EBIT), but it can affect the residual shareholders’ earnings.
Value of a Firm – directly co-related with
the maximization of shareholders’ wealth.
Particulars Rs.
Sales (A) 10,000
(-) Cost of goods sold (B) 4,000
Gross Profit (C = A - B) 6,000
(-) Operating expenses (D) 2,500
Operating Profit (EBIT) (E = C - D) 3,500
(-) Interest (F) 1,000
EBT (G = E - F) 2,500
(-) Tax @ 30% (H) 750
PAT (I = G - H) 1,750
(-) Preference Dividends (J) 750
Profit for Equity Shareholders (K = I - J) 1,000
No. of Equity Shares (L) 200
Earning per Share (EPS) (K/L) 5
An illustration of
Income Statement
ASSUMPTIONS –
 Firms use only two sources of funds –
equity & debt.
 No change in investment decisions of
the firm, i.e. no change in total assets.
 100 % dividend payout ratio, i.e. no
retained earnings.
 Business risk of firm is not affected by
the financing mix.
 No corporate or personal taxation.
 Investors expect future profitability of
the firm.
Capital Structure Theories
Capital Structure Theories –
A) Net Income Approach (NI)
 Net Income approach proposes that there is a definite
relationship between capital structure and value of the firm.
 The capital structure of a firm influences its cost of capital
(WACC), and thus directly affects the value of the firm.
 NI approach assumptions –
o NI approach assumes that a continuous increase in debt does
not affect the risk perception of investors.
o Cost of debt (Kd) is less than cost of equity (Ke) [i.e. Kd < Ke ]
o Corporate income taxes do not exist.
Capital Structure Theories –
A) Net Income Approach (NI)
 As per NI approach, higher use of debt capital will result in
reduction of WACC. As a consequence, value of firm will be
increased.
Value of firm = Earnings
WACC
 Earnings (EBIT) being constant and WACC is reduced, the
value of a firm will always increase.
 Thus, as per NI approach, a firm will have maximum value
at a point where WACC is minimum, i.e. when the firm is
almost debt-financed.
Capital Structure Theories –
A) Net Income Approach (NI)
ke
ko
kd
Debt
Cost
kd
ke, ko
As the proportion of
debt (Kd) in capital
structure increases,
the WACC (Ko)
reduces.
Calculate the value of Firm and WACC for the following capital structures
EBIT of a firm Rs. 200,000. Ke = 10%
Debt capital Rs. 500,000 Debt = Rs. 700,000 Debt = Rs. 200,000
Kd = 6%
Particulars case 1 case 2 case 3
EBIT 200,000 200,000 200,000
(-) Interest 30,000 42,000 12,000
EBT 170,000 158,000 188,000
Ke 10% 10% 10%
Value of Equity 1,700,000 1,580,000 1,880,000
(EBT / Ke)
Value of Debt 500,000 700,000 200,000
Total Value of Firm 2,200,000 2,280,000 2,080,000
WACC 9.09% 8.77% 9.62%
(EBIT / Value) * 100
Capital Structure Theories –
A) Net Income Approach (NI)
Capital Structure Theories –
B) Net Operating Income (NOI)
 Net Operating Income (NOI) approach is the exact opposite
of the Net Income (NI) approach.
 As per NOI approach, value of a firm is not dependent upon
its capital structure.
 Assumptions –
o WACC is always constant, and it depends on the business risk.
o Value of the firm is calculated using the overall cost of capital
i.e. the WACC only.
o The cost of debt (Kd) is constant.
o Corporate income taxes do not exist.
Capital Structure Theories –
B) Net Operating Income (NOI)
 NOI propositions (i.e. school of thought) –
The use of higher debt component (borrowing) in the capital
structure increases the risk of shareholders.
Increase in shareholders’ risk causes the equity capitalization
rate to increase, i.e. higher cost of equity (Ke)
A higher cost of equity (Ke) nullifies the advantages gained
due to cheaper cost of debt (Kd )
In other words, the finance mix is irrelevant and does not
affect the value of the firm.
Capital Structure Theories –
B) Net Operating Income (NOI)
 Cost of capital (Ko)
is constant.
 As the proportion
of debt increases,
(Ke) increases.
 No effect on total
cost of capital (WACC)
ke
ko
kd
Debt
Cost
Calculate the value of firm and cost of equity for the following capital structure -
EBIT = Rs. 200,000. WACC (Ko) = 10% Kd = 6%
Debt = Rs. 300,000, Rs. 400,000, Rs. 500,000 (under 3 options)
Particulars Option I Option II Option III
EBIT 200,000 200,000 200,000
WACC (Ko) 10% 10% 10%
Value of the firm 2,000,000 2,000,000 2,000,000
Value of Debt @ 6 % 300,000 400,000 500,000
Value of Equity (bal. fig) 1,700,000 1,600,000 1,500,000
Interest @ 6 % 18,000 24,000 30,000
EBT (EBIT - interest) 182,000 176,000 170,000
Hence, Cost of Equity (Ke) 10.71% 11.00% 11.33%
Capital Structure Theories –
B) Net Operating Income (NOI)
Capital Structure Theories –
C) Modigliani – Miller Model (MM)
 MM approach supports the NOI approach, i.e. the capital
structure (debt-equity mix) has no effect on value of a firm.
 Further, the MM model adds a behavioural justification in
favour of the NOI approach (personal leverage)
 Assumptions –
o Capital markets are perfect and investors are free to buy, sell,
& switch between securities. Securities are infinitely divisible.
o Investors can borrow without restrictions at par with the firms.
o Investors are rational & informed of risk-return of all securities
o No corporate income tax, and no transaction costs.
o 100 % dividend payout ratio, i.e. no profits retention
Capital Structure Theories –
C) Modigliani – Miller Model (MM)
MM Model proposition –
o Value of a firm is independent of the capital structure.
o Value of firm is equal to the capitalized value of operating
income (i.e. EBIT) by the appropriate rate (i.e. WACC).
o Value of Firm = Mkt. Value of Equity + Mkt. Value of Debt
= Expected EBIT
Expected WACC
Capital Structure Theories –
C) Modigliani – Miller Model (MM)
MM Model proposition –
o As per MM, identical firms (except capital structure) will
have the same level of earnings.
o As per MM approach, if market values of identical firms
are different, ‘arbitrage process’ will take place.
o In this process, investors will switch their securities
between identical firms (from levered firms to un-levered
firms) and receive the same returns from both firms.
Capital Structure Theories –
C) Modigliani – Miller Model (MM)
Levered Firm
• Value of levered firm = Rs. 110,000
• Equity Rs. 60,000 + Debt Rs. 50,000
• Kd = 6 % , EBIT = Rs. 10,000,
• Investor holds 10 % share capital
Un-Levered Firm
• Value of un-levered firm = Rs. 100,000 (all equity)
• EBIT = Rs. 10,000 and investor holds 10 % share capital
Capital Structure Theories –
C) Modigliani – Miller Model (MM)
Return from Levered Firm:
10 110,000 50 000 10% 60,000 6 000
10% 10,000 6% 50,000 1,000 300 700
Alternate Strategy:
1. Sell shares in : 10% 60,000 6,000
2. Borrow (personal leverage):
Investment % , ,
Return
L
10% 50,000 5,000
3. Buy shares in : 10% 100,000 10,000
Return from Alternate Strategy:
10,000
10% 10,000 1,000
: Interest on personal borrowing 6% 5,000 300
Net return 1,000 300 700
Ca
U
Investment
Return
Less
sh available 11,000 10,000 1,000
Capital Structure Theories –
D) Traditional Approach
 The NI approach and NOI approach hold extreme views on
the relationship between capital structure, cost of capital and
the value of a firm.
 Traditional approach (‘intermediate approach’) is a compromise
between these two extreme approaches.
 Traditional approach confirms the existence of an optimal
capital structure; where WACC is minimum and value is the
firm is maximum.
 As per this approach, a best possible mix of debt and equity
will maximize the value of the firm.
Capital Structure Theories –
D) Traditional Approach
The approach works in 3 stages –
1) Value of the firm increases with an increase in borrowings
(since Kd < Ke). As a result, the WACC reduces gradually.
This phenomenon is up to a certain point.
2) At the end of this phenomenon, reduction in WACC ceases
and it tends to stabilize. Further increase in borrowings will
not affect WACC and the value of firm will also stagnate.
3) Increase in debt beyond this point increases shareholders’
risk (financial risk) and hence Ke increases. Kd also rises due
to higher debt, WACC increases & value of firm decreases.
Capital Structure Theories –
D) Traditional Approach
ke
ko
kd
Debt
Cost
 Cost of capital (Ko)
is reduces initially.
 At a point, it settles
 But after this point,
(Ko) increases, due
to increase in the
cost of equity. (Ke)
EBIT = Rs. 150,000, presently 100% equity finance with Ke = 16%. Introduction of debt to
the extent of Rs. 300,000 @ 10% interest rate or Rs. 500,000 @ 12%.
For case I, Ke = 17% and for case II, Ke = 20%. Find the value of firm and the WACC
Particulars Presently case I case II
Debt component - 300,000 500,000
Rate of interest 0% 10% 12%
EBIT 150,000 150,000 150,000
(-) Interest - 30,000 60,000
EBT 150,000 120,000 90,000
Cost of equity (Ke) 16% 17% 20%
Value of Equity (EBT / Ke) 937,500 705,882 450,000
Total Value of Firm (Db + Eq) 937,500 1,005,882 950,000
WACC (EBIT / Value) * 100 16.00% 14.91% 15.79%
Capital Structure Theories –
D) Traditional Approach

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Capital Structure Optimization

  • 1. Capital Structure By Dr. B. Krishna Reddy Professor and Head_SKIM
  • 2. • Capital Structure concept • Capital Structure planning • Concept of Value of a Firm • Significance of Cost of Capital (WACC) Capital Structure Coverage – • Capital Structure theories –  Net Income  Net Operating Income  Modigliani-Miller  Traditional Approach
  • 3. Capital structure can be defined as the mix of owned capital (equity, reserves & surplus) and borrowed capital (debentures, loans from banks, financial institutions) Maximization of shareholders’ wealth is prime objective of a financial manager. The same may be achieved if an optimal capital structure is designed for the company. Planning a capital structure is a highly psychological, complex and qualitative process. It involves balancing the shareholders’ expectations (risk & returns) and capital requirements of the firm. Capital Structure
  • 4. Planning the Capital Structure Important Considerations –  Return: ability to generate maximum returns to the shareholders, i.e. maximize EPS and market price per share.  Cost: minimizes the cost of capital (WACC). Debt is cheaper than equity due to tax shield on interest & no benefit on dividends.  Risk: insolvency risk associated with high debt component.  Control: avoid dilution of management control, hence debt preferred to new equity shares.  Flexible: altering capital structure without much costs & delays, to raise funds whenever required.  Capacity: ability to generate profits to pay interest and principal.
  • 5.  Value of a firm depends upon earnings of a firm and its cost of capital (i.e. WACC).  Earnings are a function of investment decisions, operating efficiencies, & WACC is a function of its capital structure.  Value of firm is derived by capitalizing the earnings by its cost of capital (WACC). Value of Firm = Earnings / WACC  Thus, value of a firm varies due to changes in the earnings of a company or its cost of capital, or both.  Capital structure cannot affect the total earnings of a firm (EBIT), but it can affect the residual shareholders’ earnings. Value of a Firm – directly co-related with the maximization of shareholders’ wealth.
  • 6. Particulars Rs. Sales (A) 10,000 (-) Cost of goods sold (B) 4,000 Gross Profit (C = A - B) 6,000 (-) Operating expenses (D) 2,500 Operating Profit (EBIT) (E = C - D) 3,500 (-) Interest (F) 1,000 EBT (G = E - F) 2,500 (-) Tax @ 30% (H) 750 PAT (I = G - H) 1,750 (-) Preference Dividends (J) 750 Profit for Equity Shareholders (K = I - J) 1,000 No. of Equity Shares (L) 200 Earning per Share (EPS) (K/L) 5 An illustration of Income Statement
  • 7. ASSUMPTIONS –  Firms use only two sources of funds – equity & debt.  No change in investment decisions of the firm, i.e. no change in total assets.  100 % dividend payout ratio, i.e. no retained earnings.  Business risk of firm is not affected by the financing mix.  No corporate or personal taxation.  Investors expect future profitability of the firm. Capital Structure Theories
  • 8. Capital Structure Theories – A) Net Income Approach (NI)  Net Income approach proposes that there is a definite relationship between capital structure and value of the firm.  The capital structure of a firm influences its cost of capital (WACC), and thus directly affects the value of the firm.  NI approach assumptions – o NI approach assumes that a continuous increase in debt does not affect the risk perception of investors. o Cost of debt (Kd) is less than cost of equity (Ke) [i.e. Kd < Ke ] o Corporate income taxes do not exist.
  • 9. Capital Structure Theories – A) Net Income Approach (NI)  As per NI approach, higher use of debt capital will result in reduction of WACC. As a consequence, value of firm will be increased. Value of firm = Earnings WACC  Earnings (EBIT) being constant and WACC is reduced, the value of a firm will always increase.  Thus, as per NI approach, a firm will have maximum value at a point where WACC is minimum, i.e. when the firm is almost debt-financed.
  • 10. Capital Structure Theories – A) Net Income Approach (NI) ke ko kd Debt Cost kd ke, ko As the proportion of debt (Kd) in capital structure increases, the WACC (Ko) reduces.
  • 11. Calculate the value of Firm and WACC for the following capital structures EBIT of a firm Rs. 200,000. Ke = 10% Debt capital Rs. 500,000 Debt = Rs. 700,000 Debt = Rs. 200,000 Kd = 6% Particulars case 1 case 2 case 3 EBIT 200,000 200,000 200,000 (-) Interest 30,000 42,000 12,000 EBT 170,000 158,000 188,000 Ke 10% 10% 10% Value of Equity 1,700,000 1,580,000 1,880,000 (EBT / Ke) Value of Debt 500,000 700,000 200,000 Total Value of Firm 2,200,000 2,280,000 2,080,000 WACC 9.09% 8.77% 9.62% (EBIT / Value) * 100 Capital Structure Theories – A) Net Income Approach (NI)
  • 12. Capital Structure Theories – B) Net Operating Income (NOI)  Net Operating Income (NOI) approach is the exact opposite of the Net Income (NI) approach.  As per NOI approach, value of a firm is not dependent upon its capital structure.  Assumptions – o WACC is always constant, and it depends on the business risk. o Value of the firm is calculated using the overall cost of capital i.e. the WACC only. o The cost of debt (Kd) is constant. o Corporate income taxes do not exist.
  • 13. Capital Structure Theories – B) Net Operating Income (NOI)  NOI propositions (i.e. school of thought) – The use of higher debt component (borrowing) in the capital structure increases the risk of shareholders. Increase in shareholders’ risk causes the equity capitalization rate to increase, i.e. higher cost of equity (Ke) A higher cost of equity (Ke) nullifies the advantages gained due to cheaper cost of debt (Kd ) In other words, the finance mix is irrelevant and does not affect the value of the firm.
  • 14. Capital Structure Theories – B) Net Operating Income (NOI)  Cost of capital (Ko) is constant.  As the proportion of debt increases, (Ke) increases.  No effect on total cost of capital (WACC) ke ko kd Debt Cost
  • 15. Calculate the value of firm and cost of equity for the following capital structure - EBIT = Rs. 200,000. WACC (Ko) = 10% Kd = 6% Debt = Rs. 300,000, Rs. 400,000, Rs. 500,000 (under 3 options) Particulars Option I Option II Option III EBIT 200,000 200,000 200,000 WACC (Ko) 10% 10% 10% Value of the firm 2,000,000 2,000,000 2,000,000 Value of Debt @ 6 % 300,000 400,000 500,000 Value of Equity (bal. fig) 1,700,000 1,600,000 1,500,000 Interest @ 6 % 18,000 24,000 30,000 EBT (EBIT - interest) 182,000 176,000 170,000 Hence, Cost of Equity (Ke) 10.71% 11.00% 11.33% Capital Structure Theories – B) Net Operating Income (NOI)
  • 16. Capital Structure Theories – C) Modigliani – Miller Model (MM)  MM approach supports the NOI approach, i.e. the capital structure (debt-equity mix) has no effect on value of a firm.  Further, the MM model adds a behavioural justification in favour of the NOI approach (personal leverage)  Assumptions – o Capital markets are perfect and investors are free to buy, sell, & switch between securities. Securities are infinitely divisible. o Investors can borrow without restrictions at par with the firms. o Investors are rational & informed of risk-return of all securities o No corporate income tax, and no transaction costs. o 100 % dividend payout ratio, i.e. no profits retention
  • 17. Capital Structure Theories – C) Modigliani – Miller Model (MM) MM Model proposition – o Value of a firm is independent of the capital structure. o Value of firm is equal to the capitalized value of operating income (i.e. EBIT) by the appropriate rate (i.e. WACC). o Value of Firm = Mkt. Value of Equity + Mkt. Value of Debt = Expected EBIT Expected WACC
  • 18. Capital Structure Theories – C) Modigliani – Miller Model (MM) MM Model proposition – o As per MM, identical firms (except capital structure) will have the same level of earnings. o As per MM approach, if market values of identical firms are different, ‘arbitrage process’ will take place. o In this process, investors will switch their securities between identical firms (from levered firms to un-levered firms) and receive the same returns from both firms.
  • 19. Capital Structure Theories – C) Modigliani – Miller Model (MM) Levered Firm • Value of levered firm = Rs. 110,000 • Equity Rs. 60,000 + Debt Rs. 50,000 • Kd = 6 % , EBIT = Rs. 10,000, • Investor holds 10 % share capital Un-Levered Firm • Value of un-levered firm = Rs. 100,000 (all equity) • EBIT = Rs. 10,000 and investor holds 10 % share capital
  • 20. Capital Structure Theories – C) Modigliani – Miller Model (MM) Return from Levered Firm: 10 110,000 50 000 10% 60,000 6 000 10% 10,000 6% 50,000 1,000 300 700 Alternate Strategy: 1. Sell shares in : 10% 60,000 6,000 2. Borrow (personal leverage): Investment % , , Return L 10% 50,000 5,000 3. Buy shares in : 10% 100,000 10,000 Return from Alternate Strategy: 10,000 10% 10,000 1,000 : Interest on personal borrowing 6% 5,000 300 Net return 1,000 300 700 Ca U Investment Return Less sh available 11,000 10,000 1,000
  • 21. Capital Structure Theories – D) Traditional Approach  The NI approach and NOI approach hold extreme views on the relationship between capital structure, cost of capital and the value of a firm.  Traditional approach (‘intermediate approach’) is a compromise between these two extreme approaches.  Traditional approach confirms the existence of an optimal capital structure; where WACC is minimum and value is the firm is maximum.  As per this approach, a best possible mix of debt and equity will maximize the value of the firm.
  • 22. Capital Structure Theories – D) Traditional Approach The approach works in 3 stages – 1) Value of the firm increases with an increase in borrowings (since Kd < Ke). As a result, the WACC reduces gradually. This phenomenon is up to a certain point. 2) At the end of this phenomenon, reduction in WACC ceases and it tends to stabilize. Further increase in borrowings will not affect WACC and the value of firm will also stagnate. 3) Increase in debt beyond this point increases shareholders’ risk (financial risk) and hence Ke increases. Kd also rises due to higher debt, WACC increases & value of firm decreases.
  • 23. Capital Structure Theories – D) Traditional Approach ke ko kd Debt Cost  Cost of capital (Ko) is reduces initially.  At a point, it settles  But after this point, (Ko) increases, due to increase in the cost of equity. (Ke)
  • 24. EBIT = Rs. 150,000, presently 100% equity finance with Ke = 16%. Introduction of debt to the extent of Rs. 300,000 @ 10% interest rate or Rs. 500,000 @ 12%. For case I, Ke = 17% and for case II, Ke = 20%. Find the value of firm and the WACC Particulars Presently case I case II Debt component - 300,000 500,000 Rate of interest 0% 10% 12% EBIT 150,000 150,000 150,000 (-) Interest - 30,000 60,000 EBT 150,000 120,000 90,000 Cost of equity (Ke) 16% 17% 20% Value of Equity (EBT / Ke) 937,500 705,882 450,000 Total Value of Firm (Db + Eq) 937,500 1,005,882 950,000 WACC (EBIT / Value) * 100 16.00% 14.91% 15.79% Capital Structure Theories – D) Traditional Approach