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Analysis and Impact of Leverage ,[object Object],[object Object]
What is Leverage?
What is Leverage?
What is Leverage?
Two concepts that enhance our understanding of risk... ,[object Object],[object Object]
Business Risk ,[object Object]
Business Risk ,[object Object],EBIT
Business Risk ,[object Object],FIRM EBIT
Business Risk ,[object Object],FIRM EBIT EPS
Business Risk ,[object Object],FIRM EBIT EPS Stock- holders
Business Risk ,[object Object],FIRM EBIT EPS Stock- holders
Business Risk ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Operating Leverage ,[object Object],[object Object]
 
EBIT Operating Leverage
Financial Risk ,[object Object]
Financial Risk ,[object Object],FIRM EBIT EPS Stock- holders
Financial Risk ,[object Object],FIRM EBIT EPS Stock- holders
Financial Leverage ,[object Object]
 
EPS Financial Leverage
Breakeven Analysis ,[object Object],[object Object],[object Object]
Breakeven Analysis Quantity $
Quantity $ Total  Revenue
Costs ,[object Object]
Quantity $ Total  Revenue
Quantity { $ Total  Revenue Total Cost FC
Quantity { $ Total  Revenue Total Cost FC Q 1 + - } EBIT
Quantity { $ Total  Revenue Total Cost FC Break-even point Q 1 + - } EBIT
Operating Leverage ,[object Object]
Quantity { $ Total  Revenue Total Cost FC Break- even point Q 1 + - } EBIT
Quantity { $ Total  Revenue Total Cost = Fixed FC Break-even point } Q 1 + - EBIT
[object Object]
Quantity { $ Total  Revenue Total Cost = Fixed FC Break- even point } Q 1 + - EBIT
Trade-off:  the firm has a higher breakeven  point. If sales are not  high enough, the firm  will not meet its fixed expenses! Quantity { $ Total  Revenue Total Cost = Fixed FC Break- even point } Q 1 + - EBIT
Breakeven Calculations
Breakeven Calculations ,[object Object],Q B  =  F P - V
[object Object],[object Object],[object Object],[object Object],[object Object],Breakeven Calculations Q B  =  F P - V
Breakeven Calculations ,[object Object],S* =  F VC S 1 -
[object Object],[object Object],[object Object],[object Object],[object Object],Breakeven Calculations S* =  F VC S 1 -
Analytical Income Statement ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Degree of Operating Leverage (DOL) ,[object Object],[object Object]
Degree of Operating Leverage from Sales Level (S) DOLs  =  % change in EBIT % change in sales
Degree of Operating Leverage from Sales Level (S) DOLs  =  % change in EBIT % change in sales change in EBIT EBIT change in sales sales =
[object Object],Degree of Operating Leverage from Sales Level (S)
[object Object],Degree of Operating Leverage from Sales Level (S) DOLs  =  Sales - Variable Costs EBIT
[object Object],Degree of Operating Leverage from Sales Level (S) Q(P - V)  Q(P - V) - F = DOLs  =  Sales - Variable Costs EBIT
What does this tell us? ,[object Object]
What does this tell us? ,[object Object],Stock- holders EBIT EPS Sales
What does this tell us? ,[object Object],Stock- holders EBIT EPS Sales
Degree of Financial Leverage (DFL) ,[object Object],[object Object]
Degree of Financial Leverage  DFL  =   % change in  EPS % change in EBIT
Degree of Financial Leverage  DFL  =   % change in  EPS % change in EBIT change in  EPS EPS change in EBIT EBIT =
Degree of Financial Leverage  ,[object Object]
Degree of Financial Leverage  ,[object Object],DFL  =  EBIT  EBIT - I
What does this tell us? ,[object Object]
What does this tell us? ,[object Object],Stock- holders EBIT EPS Sales
What does this tell us? ,[object Object],Stock- holders EBIT EPS Sales
Degree of Combined Leverage (DCL) ,[object Object],[object Object]
Degree of Combined Leverage
Degree of Combined Leverage  DCL  =  DOL  x  DFL
Degree of Combined Leverage  DCL  =  DOL  x  DFL  % change in  EPS % change in Sales =
Degree of Combined Leverage  DCL  =  DOL  x  DFL  = % change in  EPS % change in Sales change in  EPS EPS change in Sales Sales =
Degree of Combined Leverage  ,[object Object]
[object Object],Degree of Combined Leverage  DCL  =  Sales - Variable Costs  EBIT - I
Degree of Combined Leverage  ,[object Object],DCL  =  Sales - Variable Costs  EBIT - I Q(P - V)  Q(P - V) - F - I =
What does this tell us? ,[object Object]
What does this tell us? ,[object Object],Stock- holders EBIT EPS Sales
What does this tell us? ,[object Object],Stock- holders EBIT EPS Sales
An Example: ,[object Object],[object Object],[object Object],[object Object]
Levered Company ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Levered Company EPS Financial leverage Operating Income Sales Operating leverage
Degree of Operating Leverage  from Sales Level (S) DOLs  =  Sales - Variable Costs EBIT
Degree of Operating Leverage  from Sales Level (S) 1,400,000  - 800,000 350,000 = DOLs  =  Sales - Variable Costs EBIT
Degree of Operating Leverage  from Sales Level (S) 1,400,000  - 800,000 350,000 =  1.714 = DOLs  =  Sales - Variable Costs EBIT
Levered   Company EPS Operating Income Sales
Levered Company EPS Operating Income Sales Operating leverage
Levered Company EPS Operating Income Sales Operating leverage 10%
Levered Company EPS Operating Income Sales Operating leverage 10% 17.14%
Degree of Financial Leverage  DFL  =  EBIT  EBIT - I
Degree of Financial Leverage  DFL  =  EBIT  EBIT - I =  350,000  225,000
Degree of Financial Leverage  DFL  =  EBIT  EBIT - I =  350,000  225,000 = 1.556
Levered Company EPS Operating Income Sales
Levered Company EPS Operating Income Sales Financial leverage
Levered Company EPS Financial leverage Operating Income Sales 10%
Levered Company EPS Financial leverage Operating Income Sales 10% 15.56%
Levered Company EPS Financial leverage Operating Income Sales 10% 15.56%
Degree of Combined Leverage  DCL  =  Sales - Variable Costs  EBIT - I
Degree of Combined Leverage  DCL  =  Sales - Variable Costs  EBIT - I 1,400,000  - 800,000  225,000 =
Degree of Combined Leverage  DCL  =  Sales - Variable Costs  EBIT - I 1,400,000  - 800,000  225,000 =  2.667 =
Levered Company EPS Operating Income Sales
Levered Company EPS Operating Income Sales Operating leverage
Levered Company EPS Financial leverage Operating Income Sales Operating leverage
Levered Company EPS Financial leverage Operating Income Sales Operating leverage 10%
Levered Company EPS Financial leverage Operating Income Sales Operating leverage 10% 26.67%
Levered Company EPS Financial leverage Operating Income Sales 10% 26.67% Operating leverage
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Levered Company 10% increase in sales

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Editor's Notes

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