1. Foundations. 2. Financial Background: A Review of Accounting, Financial Statements, and Taxes. 3. Cash Flows and Financial Analysis. 4. Financial Planning. 5. The Financial System, Corporate Governance, and Interest. Part II: DISCOUNTED CASH FLOW AND THE VALUE OF SECURITIES. 6. Time Value of Money. 7. The Valuation and Characteristics of Bonds. 8. The Valuation and Characteristics of Stock. 9. Risk and Return. Part III: BUSINESS INVESTMENT DECISIONS--CAPITAL BUDGETING. 10. Capital Budgeting. 11. Cash Flow Estimation. 12. Risk Topics and Real Options in Capital Budgeting. 13. Cost of Capital. Part IV: LONG-TERM FINANCING ISSUES. 14. Capital Structure and Leverage. 15. Dividends. Part V: OPERATIONS ISSUES--WORKING CAPITAL MANAGEMENT AND PLANNING. 16. The Management of Working Capital. 17. Corporate Restructuring. 18. International Finance.
Trang 1Chapter 14 Capital Structure and Leverage
Trang 2Capital structure - mix of a firm’s debt and equity
– In this chapter preferred stock is considered debt
Financial Leverage - using borrowed money to multiply the effectiveness of
equity
– Financial leverage of 10% means the capital structure is 10% debt and 90% equity
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Trang 3The Central Issue
Can the use of debt (leverage) increase the value of a firm’s equity?
– Can it increase stock price?
Under certain conditions changing leverage can increase stock price
– But an increase in leverage also increases risk
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Trang 4Risk in the Context of Leverage
Leverage influences stock price
Measures of overall performance
number
Income NET
Trang 5Redefining Risk for Leverage-Related Issues
Leverage-related risk is variation in ROE and EPS
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Trang 6Figure 14-1 Business and Financial Risk
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Trang 7Leverage and Risk Two Kinds of Each
Financial Leverage
Associated with capital structure
Causes financial risk
Trang 8Financial Leverage
Financial leverage may increase stock price
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Trang 9Table 14-1 Effect of Increasing Financial Leverage when Return on Capital Exceeds After-Tax Cost of
Debt
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Replacing equity with debt reduces Net Income due to interest expense.
But if profitability is good, it reduces equity and number of shares faster than the decline
in Net Income Hence as debt increases, both EPS and ROE rise dramatically
Trang 10Effect Of Increased Leverage On Stock Price In Good Times
Based on ROE and EPS performance in good times, investors bid stock price up
as debt is increased from low levels
Effect is eventually mitigated by the increasing financial risk from leverage
Under what conditions will increasing leverage improve ROE and EPS?
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Trang 11When Might Financial Leverage Help?
Return on Capital Employed
– Measures the profitability of operations before financing charges but after taxes on a basis comparable to ROE
Trang 12Table 14-2 Effect of Increasing Financial Leverage when After-Tax Cost of Debt Exceeds Return on Capital
When ROCE is less than the after tax cost of debt, increasing leverage reduces EPS and ROE That, along with increasing risk, has a very negative effect on investors and stock price falls.
Trang 13Concept Connection Example 14-1 Managing EPS through Leverage
Will borrowing more money and retiring stock raise Albany’s EPC, and if so, what capital structure will achieve
an EPS of $2?
Trang 14Concept Connection Example 14-1 Managing EPS through Leverage
Trang 15Concept Connection Example 14-1 Managing EPS through Leverage
Trang 16Managing Through Leverage
Under certain conditions management may be able to manipulate
financial results and stock price by changing the firm’s capital structure This is true, but must be done cautiously
Trang 17An Alternate Approach (Optional)
Using ratios and information from financial statements to solve for unknown values: algebraic approach
EPS = ROE × Book Value per share
ROE = Net Income ÷ Equity
Net Income= [EBIT – Interest] (1 – tax rate)
Interest = kd (Debt)
Equity = Total Capital – Debt
share) per
value
Book Debt)
Total (
) T 1 )(
Debt )(
k ( EBIT [
Trang 18Table 14-3 Financial Leverage and Risk
Financial leverage is a two-edged sword
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Trang 19Putting the Ideas Together—
The Effect on Stock Price
During periods of good performance, leverage enhances results in terms of ROE and EPSLeverage adds variability (risk) to financial performance when operating results changeThese effects push stock prices in opposite directions
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Trang 20Real Investor Behavior and the Optimal Capital Structure
When leverage is low, an increase has a positive effect on investors
At high debt levels, risk concerns overwhelm benefit of enhanced performance thus additional leverage decreases stock price
As leverage increases, its effect goes from positive to negative
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Trang 21Figure 14-2 The Effect of
Leverage on Stock Price
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Trang 22Finding the Optimum—
A Practical Problem
1 A firm with good profit prospects and little or no debt is probably missing an
opportunity by not using borrowed money if interest rates are reasonable.
2 For most businesses, the optimal capital structure is somewhere between 30% and 50% debt.
3 Debt levels above 60% create excessive risk and should be avoided.
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Trang 23The Target Capital Structure
A firm’s target capital structure is management’s estimate of the optimal capital structure
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Trang 24The Effect of Leverage When Stocks Aren’t Trading at Book Value
Changes in leverage not involving the
purchase of equity at book value are more complex
Repurchasing stock for retirement at prices other than book value will have the same general impact on ROE, but not necessarily for EPS
EPS = ROE x (book value per share)
Trang 25EBIT - Interest
Trang 26EBIT- EPS Analysis
Provides a visual/graphic representation of effect of leverage on EPS
Helps managers analyze and quantify the tradeoffs between risk and results when deciding on leverage policy
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Trang 27Figure 14-3 EBIT – EPS Analysis for ABC Corp (from Table 14.1, Columns 1 and
It is important to
determine the
indifference point,
which occurs when the
two plans offer the
same EBIT.
Trang 28Operating Leverage
Terminology and Definitions
Income statement items from sales through EBIT
Variations in EBIT due to many reasons (sales, costs, management)
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Trang 29Operating Leverage
Fixed Costs
salaries
Variable Costs
sales commissions
Fixed and Variable Costs and Cost Structure
Trang 31Figure 14-4 Fixed, Variable, and
Total Cost
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Trang 32Figure 14-5 The Breakeven Diagram
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Breakeven occurs at the intersection of revenue and total cost, QB/E
Trang 33Breakeven Analysis
The Contribution Margin
cost (V)
Ct = P – V
CM = (P – V)
P
Trang 35– Breakeven shows how many units must be sold to pay for (cover) fixed costs
– Can be expressed in terms of dollar sales
) V P
(
F
E B
B
C
F P
) V P
Trang 36Concept Connection Example 14-5 Breakeven
What is the breakeven sales level in units and dollars for a company that can make a unit of product for $7 in variable costs and sell it for $10, if the firm has fixed costs of $1,800 per month?
The breakeven point in units is
$1,800 ÷ ($10 - $7) = 600 units
The breakeven point in dollars is $10 per unit times 600 units, or $6,000, which could also be calculated as $1,800 / 0.30
Thus, the firm must sell 600 units per month to cover fixed costs.
Trang 37The Effect of Operating Leverage
As volume moves away from breakeven, profit or loss increases faster with more operating leverage
The Risk Effect
The Effect on Expected EBIT
operating profit
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Trang 38Figure 14-6 Breakeven Diagram at High and Low Operating Leverage
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Trang 39Concept Connection 14-6 The Effect of Operating Leverage
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Suppose the low-leverage firm in Figure 14-6a has fixed costs of $1,000 per period, sells its product for $10, and has variable costs of $8 per unit Further suppose that the high-leverage firm in Figure 14-6b has fixed costs of $1,500 and also sells its product for $10 a unit
Both firms are at the same breakeven point What variable cost must the high-leverage firm have if it is to achieve the same breakeven point as the low-leverage firm? State the trade-off
at the breakeven point Which structure is preferred if there’s a choice?
Trang 40Concept Connection Example 14-6 The Effect of Operating Leverage
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Both firms have a breakeven point of 500 units (Low-leveraged firm: $1,000 ÷ $2) We need to solve the
breakeven formula for the high-leveraged firm’s variable costs per unit:
QB/E-a = FC ÷ (P – Va) = 500 units
QB/E-b = FC ÷ (P – Vb) = 500 units
500 units = $1,500 ÷ ($10 – Vb)
Vb = $7
And Ct = $10 - $7 = $3
The preferred structure depends on volatility—if sales are expected to be highly volatile, the lower fixed cost
structure might be better in the long run.
At breakeven, a $1 differential in contribution makes up for a $500 difference in fixed cost.
Trang 41The Degree of Operating Leverage (DOL)—A Measurement
Operating leverage amplifies changes in sales volume into larger changes in EBIT
DOL relates relative changes in volume (Q) to relative changes in EBIT
Trang 42Concept Connection Example 14-7 Degree of Operating Leverage (DOL)
DOL at 300 units is:
Note that DOL decreases
as the output level increases above breakeven.
Trang 43– Is more controllable than operating leverage
Operating Leverage involves substituting fixed costs for variable costs in the firm’s cost structure
•Both can enhance results while increasing variation
•Both involve substituting fixed cash outflows for variable cash
outflows
•Both make their respective risks larger as levels of leverage
increase
Trang 44Figure 14-7 The Similar Functions of Operating and Financial
Leverage
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Trang 45Figure 14-8 Risk and Cost Relationships between Operating and
Financial Leverage
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Trang 46The Compounding Effect of Operating and Financial Leverage
Effects of financial and operating leverage compound one another
Changes in sales are amplified by operating leverage into larger relative changes in EBIT
Changes in EBIT are amplified by financial leverage into larger relative changes in ROE and EPS
Result: Modest changes in sales can lead to dramatic changes in ROE and EPS
Combined effect is measured by DTL, the degree of total leverage
DTL = DOL × DFL
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Trang 47Figure 14-9 The Compounding Effect of Operating Leverage and
Financial Leverage
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Trang 48Capital Structure Theory
Does capital structure affect stock price and the market value of the firm?
If so, is there an optimal structure that maximizes either or both?
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Trang 49Background The Value of the Firm
Notation
– Vd = market value of the firm’s debt
– Ve = market value of the firm’s stock or equity
– Vf = market value of the firm in total
Vf = Vd + Ve
Investors’ returns on the firm’s securities will be
– kd = return on an investment in debt
– ke = return on an investment in equity
The average cost of capital is a weighted average of the costs of debt and equity
– ka = average cost of capital
Trang 50Background The Value of the Firm
Value is based on cash flow, which comes from income
– Dividends and interest payments are both perpetuities
The firm’s market value is the sum of its present values
Trang 51Figure 14-10 Variation in Value and Average Return with Capital
Structure
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The value of the firm and the firm’s stock price each reach maxima when the average cost of capital is minimized.
Trang 52The Early Theory by Modigliani and Miller (MM)
Restrictive Assumptions in Original Model
– The 1958 MM paper on capital structure included numerous restrictions such as
Trang 53The Early Theory by Modigliani and Miller (MM)
The Assumptions and Reality
– Income taxes exist
– Bankruptcy costs are quite high
– Individuals cannot borrow at the same rate as companies and
– Interest rates usually rise as more money is borrowed
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Trang 54The Early Theory by Modigliani and Miller (MM)
The result
– The independence hypothesis: value is independent of capital structure
– As cheaper debt is added, the cost of equity increases because of increased risk
Arbitrage concept
Interpreting the result
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Trang 55Figure 14-11 The Independence Hypothesis (a)
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Trang 56Figure 14-11 The Independence Hypothesis (b)
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Trang 57Relaxing the Assumptions—
More Insights
Financing and the U.S Tax System
Including Corporate Taxes in the MM Theory
– Interest provides a tax shield that reduces government’s share of the firm’s
Trang 58Table 14-4 The Tax System Favors
Debt Financing
Trang 59TBk k
Trang 60Figure 14-12 MM Theory with Taxes
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In the MM model with taxes, value increases steadily as leverage is added Thus, the firm’s value is maximized with 100% debt Note that kd remains constant across all levels of debt.
Trang 61Including Bankruptcy Costs in the
MM Theory
As leverage increases past a certain point, concern about bankruptcy losses increases
Hence value and price are maximized at an optimal capital structure where the average cost
of capital is a minimum
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Trang 62Figure 14-13
MM Theory with Taxes and Bankruptcy
Costs
Trang 63An Insight into Mergers and Acquisitions
In many mergers, a firm buys the stock of a target company at a premium over its market price/value
If the target was undervalued due to lack of debt, the increase in value from adding leverage may be more than the premium paid for the target’s stock
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