1. FM/Capital Structure and Leverage
Topic # 08
Capital Structure
and
Leverage
Zulfiqar Hasan
BBA, MBA (Finance), London
Associate Professor
Zulfiqar Hasan

2. Contents
Capital Structure Policy: Objective of capital structure policy, optimal capital structure, Theories of Capital Structure, Financial Leverage, Analysis of operating leverage, financial leverage and Total Leverage. Business vs. financial risk ,Optimal capital structure, Operating leverage, Capital structure theory
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3. What is Capital structure?
The combination of Debt and Equity used to finance a firm is called Capital Structure.
Target capital structure is the mix of debt, preferred stock, and common equity with which the firm plans to finance its investments.
Factors affecting the target Capital Structure
Business Risk
Firm’s Tax position
Financial Flexibility
Managerial Attitude
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4. Business risk is affected primarily by
What is business risk?
Uncertainty about future operating income (EBIT), i.e., how well can we predict operating income?
Note that business risk does not include financing effects.
Business risk is affected primarily by
Uncertainty about demand (sales).
Uncertainty about output prices.
Uncertainty about costs.
Product, other types of liability.
Operating leverage.
Probability
Low risk
High risk
E(EBIT)
EBIT
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5. Leverage are in two types: Operating Leverage and Financial Leverage.
Meaning of Leverage
Leverage is the degree to which an investor or business is utilizing borrowed money.
Companies that are highly leveraged may be at risk of bankruptcy if they are unable to make payments on their debt; they may also be unable to find new lenders in the future.
Leverage is not always bad, however; it can increase the shareholders‘ return on investment and often there are tax advantages associated with borrowing
Leverage are in two types:
Operating Leverage and
Financial Leverage.
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6. Operating vs Financial Leverage
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7. Fixed Costs vs Variable Costs
Fixed costs: These are those costs that are not dependent on the quantity of product. In other words, these costs stay the same whether you produce one piece of shirt or many pieces of shirts in your garments.
Example: Rent of a garments factory. Whether you are producing anything or not, you still have to pay the rent every month so for all intents and purposes your rent is a fixed cost.
Examples of Fixed Costs: salaries, rent, advertising, insurance and office supplies
Variable Costs: Variable costs are costs that are dependent on the quantity of products.
Example: Raw materials – Cloths. If 5 feet cloths need to make 01 Shirt, 10 feet cloths will be needed to make 02 shirts.
Examples of Variable costs: material, labor, utilities, and delivery costs, hourly wages
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8. What is operating leverage?
FM/Capital Structure and Leverage
What is operating leverage?
Operating leverage is concerned with the relationship between the firm’s sales revenue and its earnings before interest and taxes, or EBIT. (EBIT is a descriptive label for operating profits.)
EBIT= Sales – –
Fixed Operating
Costs
Variable Operating
Costs
So, EBIT=(PXQ)-FC-(VCXQ)
where, P = sales price per unit
Q = sales quantity
FC = total fixed operating costs
VC = variable operating costs per unit
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9. Breakeven analysis & Operating Breakeven Point
Breakeven analysis, sometimes called cost-volume-profit analysis, is used by the firm (1) to determine the level of operations necessary to cover all operating costs and (2) to evaluate the profitability associated with various levels of sales. The firm’s operating breakeven point is the level of sales necessary to cover all operating costs. At that point, earnings before interest and taxes equals Zero (0).
Operating Breakeven Point is the Sales Volume where EBIT=0)
EBIT=(PXQ)-FC-(VCXQ)
EBIT=0
So, (PXQ)-FC-(VCXQ) = 0
P = Price per Unit
FC = Total Fixed Cost
VC = Variable Cost per unit
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10. Example 01: Operating Breakeven Point
Suppose a firm has $10000 in fixed operating costs, its price per unit for its product is $10 and its variable costs per unit are $8. What is the break even quantity of units to sell? What is the breakeven dollar sales?
Mind it, this is the point where EBIT IS ZERO.
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11. Example 02: Breakeven analysis
Barry Carter is considering opening a record store. He wants to estimate the number of CDs he must sell to break even. The CDs will be sold for $13.98 each, variable operating costs are $10.48 per CD, and annual fixed operating costs are $73,500.
Find the operating breakeven point in number of CDs.
Calculate the total operating costs at the breakeven volume found in part a.
If Barry estimates that at a minimum he can sell 2,000 CDs per month, should he go into the record business?
How much EBIT will Barry realize if he sells the minimum 2,000 CDs per month noted in part c?
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12. Solution: Example 02- Breakeven Analysis
b. Total operating costs = FC + (Q x VC)
Total operating costs = $73,500 + (21,000 x $10.48)
Total operating costs = $293,580
c. 2,000 x 12 = 24,000 CDs per year. 2,000 records per month exceeds the operating breakeven by 3,000 records per year. Barry should go into the CD business.
d. EBIT = (P x Q) - FC - (VC x Q)
EBIT = ($13.98 x 24,000) - $73,500 - ($10.48 x 24,000)
EBIT = $335,520 - $73,500 - $251,520
EBIT = $10,500
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13. Practice: Break Even Quantity
10,000
120000
01. Given P=$12 per unit, VC= $9 per unit, and FC =$30,000 calculate Q, the breakeven sales quantity and Volume.
02. Assume that Cheryl’s Posters, a small poster retailer, has fixed operating costs of $2,500, its sale price per unit (poster) is $10, and its variable operating cost per unit is $5. What is Break Even Quantity
500 units
03. Addition to problem 02, assume that Cheryl’s Posters wishes to evaluate the impact of several options: (1) increasing fixed operating costs to $3,000, (2) increasing the sale price per unit to $12.50, (3) increasing the variable operating cost per unit to $7.50, and (4) simultaneously implementing all three of these changes.
Results:
600 units; units; 1,000 units; 600 units
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14. Example 02: Changes in EBIT
Suppose a firm has $10000 in fixed operating costs, its price per unit for its product is $10 and its variable costs per unit are $8. Suppose your initial sales quantity is 8000 units. Find out EBIT?
EBIT=(PXQ)-FC-(VCXQ)
=($10X8000)-$10000-($8X8000)
=$6000
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15. Now find out the % change in EBIT
Changes in EBIT…
Example 03: Suppose a firm has $10000 in fixed operating costs, its price per unit for its product is $10 and its variable costs per unit are $8. Suppose your initial sales quantity is 8000 units. If Q increases by 50% to units what will be new EBIT?
SOLUTIONS:
EBIT = ($10 x 12,000) - $10,000 - ($8 x 12,000) = $14,000
Now find out the % change in EBIT
Practice: 04: Suppose P = $12 per unit, VC = $9 per unit, and FC = $30,000. At a Q of 20,000 units, what is the percentage change in EBIT from a Q of 30,000?
-50%
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16. % Changes in Sales
Example 04: Suppose P = $12 per unit, VC = $9 per unit, and FC = $30,000. At a Q of 20,000 units, what is the percentage change in sales from a Q of 30,000 units? A % B % C % D %
WORKED
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17. Practice: % Change in Sales
Practice 05: Suppose P = $12 per unit, VC = $9 per unit, and FC = $30,000. At a Q of 40,000 units, what is the percentage change in sales from a Q of 30,000 units?
A % B % C % D %
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18. Degree of Operating Leverage:
Operating leverage is the ability to use fixed operating costs to magnify the effects of changes in sales on earnings before interest and taxes. Operating leverage results from the existence of fixed operating costs in the firm's income stream. The degree of operating leverage (DOL) is measured by dividing a percent change in EBIT by the percent change in sales. .The Percentage change in operating income (EBIT) associated with a given percentage change in sales.
Practice 06: If percentage change in EBIT is -50% and percentage change in sales is -33%, what will be the degree of operating leverage (DOL)?
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19. Practice 07: DOL’s Problems and Solutions
Suppose P = $12 per unit, VC = $9 per unit, and FC = $30,000. What is the degree of operating leverage (DOL) at a sales quantity of 30,000 units from a Q of units?
1.33
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20. What is financial leverage? Financial risk?
Financial leverage is the use of debt and preferred stock.
Financial risk is the additional risk concentrated on common stockholders as a result of financial leverage.
Business Risk vs. Financial Risk
Business risk depends on business factors such as competition, product liability, and operating leverage.
Financial risk depends only on the types of securities issued: More debt, more financial risk. Concentrates business risk on stockholders.
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21. Calculating EPS Here, ÷ Number of shares of common stock outstanding
EBIT
Interest
Earnings before tax (EBT)
Income taxes
Net income
Preferred stock dividends
Earnings available for common stockholders
÷ Number of shares of common stock outstanding
Earnings per share (EPS)
Here,
PD= Preferred Dividend
t = Tax Rate
I = Interest (Total)
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22. Example 05: Findings EPS
Suppose your firm has EBIT of $60,000, debt of $100,000 with an 8% annual coupon rate, 1,000 shares of preferred stock outstanding paying an annual dividend of $4 per share, 5,000 shares of common stock, and a 40% tax rate. What is your firm's EPS?
Interest = $100,000 x .08
= $8,000
PD = 1,000 x $4 = $4,000
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23. Example 06 : Solve It!
Suppose your firm has EBIT of $30,000, debt of $100,000 with an 8% annual coupon rate, 1,000 shares of preferred stock outstanding paying an annual dividend of $4 per share, 5,000 shares of common stock, and a 40% tax rate. What is your firm's EPS?
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24. Example 07 : Percentage Change in EPS
Using EBIT of $60,000 as a base (Example 05) and your ANSWER from Example 6, what is the percentage change in EPS?
Example 08: % Change in EBIT
Using EBIT of $60,000 as a base, what is the percentage change in EBIT if EBIT becomes $30,000?
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25. Degree of Financial Leverage
Financial leverage is the use of fixed financial costs to magnify the effects of changes in EBIT on earnings per share. Financial leverage is caused by the presence of fixed financial costs such as interest on debt and preferred stock dividends.
Example 09: Calculating DFL: Using your Answers from Problems 3 and 4, what is the Degree of Financial Leverage, DFL?
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26. Degree of Total Leverage
The total leverage of the firm is the combined effect of fixed costs, both operating and financial, and is therefore directly related to the firm's operating and financial leverage. Increases in these types of leverage will increase total risk and vice versa. Both types of leverage do complement each other in the sense that their effects are not additive but rather they are multiplicative. This means that the overall effect of the presence of these types of leverage on the firm is quite great, since their combined leverage more than proportionately magnifies the effects of changes in sales on earnings per share.
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27. Integrated Practice 01: DOL, DFL and DTL (DCL)
Calculate DOL, DFL and DTL (DCL) from the below table.
2010
2011
Sales
$8,000,000
$16,000,000
- variable operating costs
3,000,000
6,000,000
- fixed operating costs
1,000,000
EBIT
$4,000,000
$9,000,000
- interest expense
2,000,000
EBT
$2,000,000
$7,000,000
- taxes
800,000
2,800,000
EAT
$1,200,000
$4,200,000
- preferred stock dividends
500,000
Earnings available to common stockholders
$700,000
$3,700,000
Common shares outstanding
70,000
Earnings per share (EPS)
$10
$52.86
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28. EBIT = Earnings before interest and taxes I = Interest expense
Base-Level DOL & DFL
EBIT = Earnings before interest and taxes
I = Interest expense
PD = Preferred dividends
t = Corporate tax rate
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29. Practice 08: DFL At Base Level
DFL At Base Level Suppose your firm has debt of $100,000 with an 8% annual coupon rate, 1,000 shares of preferred stock outstanding paying an annual dividend of $4 per share, 5,000 shares of common stock, and a 40% tax rate. What is your firm's Degree of Financial Leverage at a base level EBIT of $30,000?
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30. Optimal Capital Structure
Optimal Capital Structure is that capital structure (mix of debt, preferred, and common equity) at which P0 is maximized. Trades off higher E(ROE) and EPS against higher risk. The tax-related benefits of leverage are exactly offset by the debt’s risk-related costs.
The target capital structure is the mix of debt, preferred stock, and common equity with which the firm intends to raise capital.
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31. Practice 09: Problems and Solutions of DTL
Suppose your firm has debt of $100,000 with an 8% annual coupon rate, 1,000 shares of preferred stock outstanding paying an annual dividend of $4 per share, 5,000 shares of common stock, and a 40% tax rate. Given DOL is 1.52, what is your firm's Degree of Total Leverage (DTL) at a base level of sales of 30,000 units?
Answer: 1.98
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32. How would these factors affect the Target Capital Structure?
Other factors to consider when establishing the firm’s target capital structure?
Sales stability?
High operating leverage?
Increase in the corporate tax rate?
Increase in the personal tax rate?
Increase in bankruptcy costs?
Management spending lots of money on lavish perks?
Industry average debt ratio
TIE ratios under different scenarios
Lender/rating agency attitudes
Reserve borrowing capacity
Effects of financing on control
Asset structure
Expected tax rate
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33. What are “signaling” effects in capital structure?
Signaling theory, discussed earlier, suggests firms should use less debt than MM suggest.
This unused debt capacity helps avoid stock sales, which depress P0 because of signaling effects.
What are “signaling” effects in capital structure?
Assumptions:
Managers have better information about a firm’s long-run value than outside investors.
Managers act in the best interests of current stockholders.
Therefore, managers can be expected to:
issue stock if they think stock is overvalued.
issue debt if they think stock is undervalued.
As a result, investors view a common stock offering as a negative signal--managers think stock is overvalued.
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34. Practice at Home 01: Breakeven point and all forms of leverage
TOR most recently sold 100,000 units at $7.50 each; its variable operating costs are $3.00 per unit, and its fixed operating costs are $250,000. Annual interest charges total $80,000, and the firm has 8,000 shares of $5 (annual dividend) preferred stock outstanding. It currently has 20,000 shares of common stock outstanding. Assume that the firm has a 40% tax rate.
a. At what level of sales (in units) would the firm break even on operations (that is, EBIT$0)?
b. Calculate the firm’s earnings per share (EPS) in tabular form at (1) the current level of sales and (2) a 120,000-unit sales level.
c. Using the current $750,000 level of sales as a base, calculate the firm’s degree of operating leverage (DOL).
d. Using the EBIT associated with the $750,000 level of sales as a base, calculate the firm’s degree of financial leverage (DFL).
e. Use the degree of total leverage (DTL) concept to determine the effect (in percentage terms) of a 50% increase in TOR’s sales from the $750,000 base level on its earnings per share.
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35. Practice at Home 03: Degree of operating leverage
Grey Products has fixed operating costs of $380,000, variable operating costs of $16 per unit, and a selling price of $63.50 per unit.
a. Calculate the operating breakeven point in units.
b. Calculate the firm’s EBIT at 9,000, 10,000, and 11,000 units, respectively.
c. With 10,000 units as a base, what are the percentage changes in units sold and EBIT as sales move from the base to the other sales levels used in part b?
d. Use the percentages computed in part c to determine the degree of operating leverage (DOL).
e. Use the formula for degree of operating leverage to determine the DOL at 10,000 units.
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