Paritian

Work & Productivity

Operating Leverage Calculator (DOL and Margin of Safety)

How sensitive profit is to sales: the degree of operating leverage, the break-even point and the margin of safety from units, price, variable cost and fixed costs.

Results

Degree of operating leverage (DOL) 3.00
Contribution per unit (price − variable cost) 10.00
Contribution margin ratio 40.0 %
Operating profit 40,000
Break-even units 8000
Margin of safety (how far sales can fall) 33.3 %
Rise in profit if sales rise 10 % 30 %
How it changes
Degree of operating leverage (DOL)Units sold in the period 8400.00 – 32,000.00. Degree of operating leverage (DOL): 21 → 1.33333Degree of operating leverage (DOL)051015202510,000.0015,000.0020,000.0025,000.0030,000.00Units sold in the period

The dashed line marks the value you entered.

What this tool does

A business with high fixed costs and low variable costs has high operating leverage: once past break-even, each extra sale adds almost pure profit, but each lost sale subtracts it just as fast. A DOL of 4 means a 5 % rise in sales lifts operating profit by about 20 %, and a 5 % fall cuts it by the same. Leverage is greatest just above break-even and shrinks as volume grows, as the chart shows, which is why the margin of safety — how far sales can drop before you make a loss — matters as much as the ratio itself.

Formula

DOL = contribution ÷ operating profit = Q(P − V) ÷ [Q(P − V) − F] · margin of safety = (Q − break-even) ÷ Q

Variables

SymbolMeaningUnit
qUnits sold in the period—
pSelling price per unit—
vVariable cost per unit—
fxFixed costs for the period—
DLDegree of operating leverage (DOL)—
CUContribution per unit (price − variable cost)—
CRContribution margin ratio%
OPOperating profit—
BEBreak-even units—
MSMargin of safety (how far sales can fall)%
U10Rise in profit if sales rise 10 %%

Worked example

  • Units sold in the period12,000
  • Selling price per unit25
  • Variable cost per unit15
  • Fixed costs for the period80,000
  • Degree of operating leverage (DOL)3.00
  • Contribution per unit (price − variable cost)10.00
  • Contribution margin ratio40.0 %
  • Operating profit40,000
  • Break-even units8000
  • Margin of safety (how far sales can fall)33.3 %
  • Rise in profit if sales rise 10 %30 %

Limitations

  • The result is an estimate based only on the values you type. Real situations often include factors this calculator does not know about.
  • The tool works with whatever currency you use for the inputs; it does not convert between currencies.