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COST OF CAPITAL
CALCULATING THE COST OF EQUITY
The cost of equity can be a bit tricky to calculate as share
capital carries no "explicit" cost. Unlike debt, which the
company must pay in the form of predetermined interest,
equity does not have a concrete price that the company must
pay, but that doesn't mean no cost of equity exists.
CALCULATING THE COST OF EQUITY
Common shareholders expect to obtain a certain return on their
equity investment in a company. The equity holders' required rate
of return is a cost from the company's perspective because if the
company does not deliver this expected return, shareholders will
simply sell their shares, causing the price to drop. The cost of
equity is basically what it costs the company to maintain a share
price that is theoretically satisfactory to investors.
CALCULATING THE COST OF EQUITY
โ€ข On this basis, the most commonly accepted method for
calculating cost of equity comes from the Nobel Prize-
winning capital asset pricing model (CAPM): The cost of equity
is expressed formulaically below:
Re = rf + (rm โ€“ rf) * ฮฒ
Where:
Re = the required rate of return on equity
โ€ข rf = the risk free rate
โ€ข rm โ€“ rf = the market risk premium
โ€ข ฮฒ = beta coefficient = unsystematic risk
CALCULATING THE COST OF EQUITY
Rf โ€“ Risk-free rate - This is the amount obtained from investing
in securities considered free from credit risk, such as
government bonds from developed countries. The interest rate
of U.S. Treasury Bills is frequently used as a proxy for the risk-
free rate.
CALCULATING THE COST OF EQUITY
รŸ โ€“ Beta - This measures how much a company's share price reacts
against the market as a whole. A beta of one, for instance, indicates
that the company moves in line with the market. If the beta is in
excess of one, the share is exaggerating the market's movements;
less than one means the share is more stable. Occasionally, a
company may have a negative beta (e.g. a gold-mining company),
which means the share price moves in the opposite direction to the
broader market.
CALCULATING THE COST OF EQUITY
(Rm โ€“ Rf) = Equity Market Risk Premium (EMRP) - The equity market
risk premium (EMRP) represents the returns investors expect to
compensate them for taking extra risk by investing in the stock market
over and above the risk-free rate. In other words, it is the difference
between the risk-free rate and the market rate. It is a highly contentious
figure. Many commentators argue that it has gone up due to the notion
that holding shares has become more risky.
The EMRP frequently cited is based on the historical average
annual excess return obtained from investing in the stock market above
the risk-free rate. The average may either be calculated using an
arithmetic mean or a geometric mean. The geometric mean provides an
annually compounded rate of excess return and will in most cases be
lower than the arithmetic mean. Both methods are popular, but the
arithmetic average has gained widespread acceptance.

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Cost of capital

  • 2. CALCULATING THE COST OF EQUITY The cost of equity can be a bit tricky to calculate as share capital carries no "explicit" cost. Unlike debt, which the company must pay in the form of predetermined interest, equity does not have a concrete price that the company must pay, but that doesn't mean no cost of equity exists.
  • 3. CALCULATING THE COST OF EQUITY Common shareholders expect to obtain a certain return on their equity investment in a company. The equity holders' required rate of return is a cost from the company's perspective because if the company does not deliver this expected return, shareholders will simply sell their shares, causing the price to drop. The cost of equity is basically what it costs the company to maintain a share price that is theoretically satisfactory to investors.
  • 4. CALCULATING THE COST OF EQUITY โ€ข On this basis, the most commonly accepted method for calculating cost of equity comes from the Nobel Prize- winning capital asset pricing model (CAPM): The cost of equity is expressed formulaically below: Re = rf + (rm โ€“ rf) * ฮฒ Where: Re = the required rate of return on equity โ€ข rf = the risk free rate โ€ข rm โ€“ rf = the market risk premium โ€ข ฮฒ = beta coefficient = unsystematic risk
  • 5. CALCULATING THE COST OF EQUITY Rf โ€“ Risk-free rate - This is the amount obtained from investing in securities considered free from credit risk, such as government bonds from developed countries. The interest rate of U.S. Treasury Bills is frequently used as a proxy for the risk- free rate.
  • 6. CALCULATING THE COST OF EQUITY รŸ โ€“ Beta - This measures how much a company's share price reacts against the market as a whole. A beta of one, for instance, indicates that the company moves in line with the market. If the beta is in excess of one, the share is exaggerating the market's movements; less than one means the share is more stable. Occasionally, a company may have a negative beta (e.g. a gold-mining company), which means the share price moves in the opposite direction to the broader market.
  • 7. CALCULATING THE COST OF EQUITY (Rm โ€“ Rf) = Equity Market Risk Premium (EMRP) - The equity market risk premium (EMRP) represents the returns investors expect to compensate them for taking extra risk by investing in the stock market over and above the risk-free rate. In other words, it is the difference between the risk-free rate and the market rate. It is a highly contentious figure. Many commentators argue that it has gone up due to the notion that holding shares has become more risky. The EMRP frequently cited is based on the historical average annual excess return obtained from investing in the stock market above the risk-free rate. The average may either be calculated using an arithmetic mean or a geometric mean. The geometric mean provides an annually compounded rate of excess return and will in most cases be lower than the arithmetic mean. Both methods are popular, but the arithmetic average has gained widespread acceptance.