Reading 34: Measures of Leverage

General concepts

Leverage increases the risk and potential return of a firm's earnings and cash flow.

Leverage: effect of fixed elements in cost structure

Sales risk is uncertainty about firm's sales

Business risk: is variability in Operating earnings (EBIT); result from the variability in sales and expenses. Is magnified by Operating Leverage.

Financial Risk: is the additional variability of EPS compared to EBIT; increases with greater use of fixed interest cost financing in the company's capital structure.

Leverage degrees

Degree of Operating leverage (DOL) = %ΔEBIT%ΔSales=Q×(PV)Q×(PV)F

Degree of Financial Leverage (DFL) = \(\frac{EBIT}{EBIT-I}= \frac{\%\Delta EPS}{\%\Delta EBIT}\)

Degree of Total Leverage (DTL) = DOL x DFL = \(\frac{\%\Delta EPS}{\%\Delta Sales}\)

Breakeven quantity of sales

Breakeven quantity of sales : is the amount of sales that makes Net Income = 0

Net Income at various sale levels = Total revenue - Total Cost = Price x Quantity - Total Fixed Cost - Variable Cost Per Unit x Quantity

Operating Breakeven Quantity of Sale

Operating Breakeven Quantity of Sale is the sale quantity that make operating income = 0 (produce just to cover operating cost)

Operating leverage: fixed operating expenses

Financial leverage: Fixed financing costs

Terminology

Q: Quantity sold

P: Price sold

V: Variable cost

F: Fixed cost

Interpretation:1% change in sale will cause EBIT to change (1xA)%

I: Interest

Interpretation: 1% change in EBIT will cause EPS to change (1xA)%

Interpretation: 1% change in Sale will cause EPS to change (1xA)%

Firms characteristics and leverage

3 rules of leverage

  1. High fixed costs = high operating leverage
  1. High debt ratio = high financial leverage
  1. High fixed cost + high debt ratio = high total leverage

Breakeven Quantity = \(\frac{FixedTotalCost}{Price-VariableCostPerUnit}=\frac{FixedOperatingCost+ FixedFinancingCost}{Price-VariableCostPerUnit}\)

Operating Breakeven Quantity of Sale= \(\frac{FixedOperatingCost}{P-VariableCostPerUnit}\)

Effects of financial leverage on Net Income and ROE

Net effect can be either increase or decrease in ROE

More debt & less equity --> both less net income (as interest expense rises) and net equity

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