1. Leverage n Operating Leverage n Financial Leverage

2. What is Leverage?

5. 2 more concepts that enhance our understanding of risk... 1) Operating Leverage - affects a firm’s business risk. 2) Financial Leverage - affects a firm’s financial risk.

6. Business Risk n The variability or uncertainty of a firm’s operating income (EBIT).

7. Business Risk n The variability or uncertainty of a firm’s operating income (EBIT). EBIT

8. Business Risk n The variability or uncertainty of a firm’s operating income (EBIT). FIRM EBIT

9. Business Risk n The variability or uncertainty of a firm’s operating income (EBIT). FIRM EBIT EPS

10. Business Risk n The variability or uncertainty of a firm’s operating income (EBIT). FIRM EBIT EPS Stock-holders

11. Business Risk n The variability or uncertainty of a firm’s operating income (EBIT). FIRM EBIT EPS Stock-holders

12. Business Risk Affected by: n Sales volume variability, n Competition, n Cost variability, n Product diversification, n Product demand n Operating Leverage.

13. Operating Leverage n The use of fixed operating costs as opposed to variable operating costs. n A firm with relatively high fixed operating costs will experience more variable operating income if sales change.

14. EBIT OperatingLeverage

15. Financial Risk n The variability or uncertainty of a firm’s earnings per share (EPS) and the increased probability of insolvency that arises when a firm uses financial leverage.

16. Financial Risk n The variability or uncertainty of a firm’s earnings per share (EPS) and the increased probability of insolvency that arises when a firm uses financial leverage. FIRM EBIT EPS Stock-holders

17. Financial Risk n The variability or uncertainty of a firm’s earnings per share (EPS) and the increased probability of insolvency that arises when a firm uses financial leverage. FIRM EBIT EPS Stock-holders

18. Financial Leverage n The use of fixed-cost sources of financing (debt, preferred stock) rather than variable-cost sources (common stock).

19. EPS FinancialLeverage

20. Quantity $ Breakeven Analysis

21. Quantity $ Total Revenue

22. Costs n Suppose the firm has both fixed operating costs (administrative salaries, insurance, rent, property tax) and variable operating costs (materials, labor, energy, packaging, sales commissions).

23. Quantity { $ Total Revenue Total Cost FC

24. Quantity { $ Total Revenue Total Cost FC Break-evenpoint }EBIT Q1Q1 + -

25. Operating Leverage n What happens if the firm increases its fixed operating costs and reduces (or eliminates) its variable costs?

26. Quantity { $ Total Revenue Total Cost = Fixed FC Break-evenpoint } Q1Q1Q1Q1 + - EBIT

27. With high operating leverage, an increase in sales produces a relatively larger increase in operating income.

28. Quantity { $ Total Revenue Total Cost = Fixed FC Break-evenpoint } Q1Q1Q1Q1 + - EBIT Trade-off: the firm has a higher breakeven point. If sales are not high enough, the firm will not meet its fixed expenses!

29. Breakeven Calculations Breakeven point (units of output) QB =QB =QB =QB = F P - V

30. Breakeven Calculations Breakeven point (units of output) n Q B = breakeven level of Q. n F = total anticipated fixed costs. n P = sales price per unit. n V = variable cost per unit. QB =QB =QB =QB = F P - V

31. Breakeven Calculations S* = F VC VC S 1 - Breakeven point (sales dollars)

32. n S* = breakeven level of sales. n F = total anticipated fixed costs. n S = total sales. n VC = total variable costs. Breakeven Calculations S* = F VC VC S 1 -

33. Analytical Income Statement Sales Sales - variable costs - fixed costs operating income operating income - interest EBT EBT - taxes Net Income Net Income

34. Analytical Income Statement Sales Sales - variable costs - fixed costs operating income operating income - interest EBT EBT - taxes Net Income Net Income } contribution margin

35. Analytical Income Statement Sales Sales - variable costs - fixed costs operating income operating income - interest EBT EBT - taxes Net Income Net Income EBT (1 - t) = Net Income, EBT (1 - t) = Net Income, so, so, Net Income / (1 - t) = EBT Net Income / (1 - t) = EBT EBT (1 - t) = Net Income, EBT (1 - t) = Net Income, so, so, Net Income / (1 - t) = EBT Net Income / (1 - t) = EBT

36. Degree of Operating Leverage (DOL) n Operating leverage: by using fixed operating costs, a small change in sales revenue is magnified into a larger change in operating income. n This “multiplier effect” is called the degree of operating leverage.

37. DOLs = % change in EBIT % change in sales Degree of Operating Leverage from Sales Level (S)

38. DOLs = % change in EBIT % change in sales change in EBIT EBIT EBIT change in sales sales sales Degree of Operating Leverage from Sales Level (S) =

39. DOLs = Degree of Operating Leverage from Sales Level (S) Sales - Variable Costs EBIT EBIT n If we have the data, we can use this formula:

40. DOLs = Degree of Operating Leverage from Sales Level (S) n If we have the data, we can use this formula: Sales - Variable Costs EBIT EBIT Q(P - V) Q(P - V) Q(P - V) - F =

41. What does this tell us? n If DOL = 2, then a 1% increase in sales will result in a 2% increase in operating income (EBIT).

42. What does this tell us? n If DOL = 2, then a 1% increase in sales will result in a 2% increase in operating income (EBIT). Stock- holders EBIT EPS Sales

43. Degree of Financial Leverage (DFL) n Financial leverage: by using fixed cost financing, a small change in operating income is magnified into a larger change in earnings per share. n This “multiplier effect” is called the degree of financial leverage.

44. DFL = % change in EPS % change in EBIT Degree of Financial Leverage

45. DFL = % change in EPS % change in EBIT change in EPS EPS EPS change in EBIT EBIT EBIT Degree of Financial Leverage =

46. DFL = EBIT EBIT EBIT - I n If we have the data, we can use this formula:

47. What does this tell us? n If DFL = 3, then a 1% increase in operating income will result in a 3% increase in earnings per share.

48. What does this tell us? n If DFL = 3, then a 1% increase in operating income will result in a 3% increase in earnings per share. Stock- holders EBIT EPS Sales

49. Degree of Combined Leverage (DCL) n Combined leverage: by using operating leverage and financial leverage, a small change in sales is magnified into a larger change in earnings per share. n This “multiplier effect” is called the degree of combined leverage.

50. DCL = DOL x DFL % change in EPS % change in Sales Degree of Combined Leverage = change in EPS EPS EPS change in Sales Sales Sales =

51. DCL = Degree of Combined Leverage Sales - Variable Costs Sales - Variable Costs EBIT - I EBIT - I n If we have the data, we can use this formula:

52. DCL = Degree of Combined Leverage Sales - Variable Costs Sales - Variable Costs EBIT - I EBIT - I n If we have the data, we can use this formula: Q(P - V) Q(P - V) Q(P - V) - F - I Q(P - V) - F - I =

53. What does this tell us? n If DCL = 4, then a 1% increase in sales will result in a 4% increase in earnings per share.

54. What does this tell us? n If DCL = 4, then a 1% increase in sales will result in a 4% increase in earnings per share. Stock- holders EBIT EPS Sales

55. Team Project: n Based on the following information on Levered Company, answer these questions: 1) If sales increase by 10%, what should happen to operating income? 2) If operating income increases by 10%, what should happen to EPS? 3) If sales increase by 10%, what should be the effect on EPS?

56. Levered Company Sales (100,000 units)$1,400,000 Variable Costs $800,000 Fixed Costs $250,000 Interest paid $125,000 Tax rate 34% Common shares outstanding 100,000

57. LeverageLeverage Sales EBIT EPS DOL DFL DCL

58. Levered Company Sales EBIT EPS DOL = DFL DCL

59. Levered Company Sales EBIT EPS DOL = 1.714 DFL = DCL

60. Levered Company Sales EBIT EPS DOL = 1.714 DFL = 1.556 DCL

61. Levered Company Sales EBIT EPS DOL = 1.714 DFL = 1.556 DCL = 2.667

62. Sales (110,000 units)1,540,000 Sales (110,000 units)1,540,000 Variable Costs (880,000) Variable Costs (880,000) Fixed Costs (250,000) Fixed Costs (250,000) EBIT 410,000 ( +17.14%) EBIT 410,000 ( +17.14%) Interest (125,000) Interest (125,000) EBT 285,000 EBT 285,000 Taxes (34%) (96,900) Taxes (34%) (96,900) Net Income 188,100 Net Income 188,100 EPS $1.881 ( +26.67%) EPS $1.881 ( +26.67%) Levered Company 10% increase in sales