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Work out return on invested capital and explain what it reveals

CFA® Level I · Corporate Finance · Capital Investments and Capital Allocation · CI.7.d

The idea

Return on invested capital measures how much after-tax operating profit a business earns on all the capital provided by lenders and shareholders: ROIC = NOPAT / average invested capital, where NOPAT = EBIT x (1 - tax rate). Because it is measured before financing costs, it is not distorted by leverage the way return on equity is, which makes it the better guide to operating performance across firms. ROIC can be decomposed as after-tax operating margin times capital turnover. In capital allocation it is compared with the cost of capital: a spread above it creates value and a spread below destroys it. Economic profit, the spread times invested capital, shows how much value is created in absolute terms.

Formulas

Return on invested capital

ROIC = NOPAT ÷ IC and NOPAT = EBIT × (1 − t)

ROIC
the profit earned per dollar of capital put to work
NOPAT
the operating profit after tax
EBIT
the profit before interest and tax
t
the tax rate
IC
the debt plus equity invested in the business

A firm creates value when ROIC is above its cost of capital.

A practice question

From the question bank, with the reason each wrong option is wrong.

Return on invested capital is best defined as:

  1. NOPAT / average invested capital - correct
  2. net income / shareholders' equityWhy not: That is return on equity, which depends on leverage and ignores capital provided by lenders.
  3. operating profit / total revenueWhy not: That is the operating margin, which measures profitability of sales, not of capital employed.

ROIC divides after-tax operating profit (NOPAT) by the capital provided by both debt and equity holders. It measures how efficiently the business turns invested capital into operating profit, independent of how that capital is financed.

A harder one

A company reports EBIT of 150, a 25% tax rate, and invested capital of 900 at the start and 1,100 at the end of the year. Its ROIC based on average invested capital is closest to:

  1. 15.00%Why not: This uses pre-tax EBIT; ROIC is based on after-tax operating profit.
  2. 10.23%Why not: This divides by ending invested capital rather than the average for the year.
  3. 11.25% - correct

NOPAT = 150 x (1 - 0.25) = 112.5. Average invested capital = (900 + 1,100)/2 = 1,000. ROIC = 112.5/1,000 = 11.25%.

The hardest tier

A company has revenue of 2,000, an operating margin of 10%, a 20% tax rate and average invested capital of 1,000. Its ROIC is closest to:

  1. 20.0%Why not: This uses pre-tax operating profit, forgetting to deduct taxes before dividing by capital.
  2. 16.0% - correct
  3. 8.0%Why not: This is the after-tax operating margin alone, omitting capital turnover of 2.0 times.

NOPAT = 2,000 x 10% x (1 - 0.20) = 160, so ROIC = 160/1,000 = 16%. Equivalently, after-tax margin of 8% times capital turnover of 2.0 gives 16%.

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