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cost_of_capital

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The cost of capital is a term used in the field of financial investment to refer to the cost of a company's
funds (both debt and equity), or, from an investor's point of view "the shareholder's required return on
a portfolio company's existing securities".
[1]
It is used to evaluate new projects of a company as it is the
minimum return that investors expect for providing capital to the company, thus setting a benchmark
that a new project has to meet.
Summary
For an investment to be worthwhile, the expected return on capital must be greater than the cost
of capital. The cost of capital is the rate of return that capital could be expected to earn in an
alternative investment of equivalent risk. If a project is of similar risk to a company's average
business activities it is reasonable to use the company's average cost of capital as a basis for the
evaluation. A company's securities typically include both debt and equity, one must therefore
calculate both the cost of debt and the cost of equity to determine a company's cost of capital.
However, a rate of return larger than the cost of capital is usually required.
The cost of debt is relatively simple to calculate, as it is composed of the rate of interest paid. In
practice, the interest-rate paid by the company can be modeled as the risk-free rate plus a risk
component (risk premium), which itself incorporates a probable rate of default (and amount of
recovery given default). For companies with similar risk or credit ratings, the interest rate is
largely exogenous (not linked to the cost of debt), the cost of equity is broadly defined as the
risk-weighted projected return required by investors, where the return is largely unknown. The
cost of equity is therefore inferred by comparing the investment to other investments
(comparable) with similar risk profiles to determine the "market" cost of equity. It is commonly
equated using the capital asset pricing model formula (below), although articles such as Stulz
1995 question the validity of using a local CAPM versus an international CAPM- also
considering whether markets are fully integrated or segmented (if fully integrated, there would
be no need for a local CAPM).
Once cost of debt and cost of equity have been determined, their blend, the weighted-average
cost of capital (WACC), can be calculated. This WACC can then be used as a discount rate for a
project's projected cash flows.
Cost of debt
When companies borrow funds from outside or take debt from financial institutions or other
resources the interest paid on that amount is called cost of debt. The cost of debt is computed by
taking the rate on a risk free bond whose duration matches the term structure of the corporate
debt, then adding a default premium. This default premium will rise as the amount of debt
increases (since, all other things being equal, the risk rises as the amount of debt rises). Since in
most cases debt expense is a deductible expense, the cost of debt is computed as an after tax cost
to make it comparable with the cost of equity (earnings are after-tax as well). Thus, for profitable
firms, debt is discounted by the tax rate. The formula can be written as (Rf + credit risk rate)(1-
T), where T is the corporate tax rate and Rf is the risk free rate.
The yield to maturity can be used as an approximation of the cost of debt.
Cost of equity
Cost of equity = Risk free rate of return + Premium expected for risk
Cost of equity = Risk free rate of return + Beta x (market rate of return- risk free rate of return)
where Beta= sensitivity to movements in the relevant market

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Where:
E
s
The expected return for a security
R
f
The expected risk-free return in that market (government bond yield)
β
s
The sensitivity to market risk for the security
R
M
The historical return of the stock market/ equity market
(R
M
-R
f
)
The risk premium of market assets over risk free assets.
The risk free rate is taken from the lowest yielding bonds in the particular market, such as
government bonds.
An alternative to the estimation of the required return by the capital asset pricing model as
above, is the use of the FamaFrench three-factor model.
Expected return
The expected return (or required rate of return for investors) can be calculated with the "dividend
capitalization model", which is
Comments
The models state that investors will expect a return that is the risk-free return plus the security's
sensitivity to market risk times the market risk premium.
The risk premium varies over time and place, but in some developed countries during the
twentieth century it has averaged around 5%. The equity market real capital gain return has been
about the same as annual real GDP growth. The capital gains on the Dow Jones Industrial
Average have been 1.6% per year over the period 1910-2005.
[2]
The dividends have increased
the total "real" return on average equity to the double, about 3.2%.
The sensitivity to market risk (β) is unique for each firm and depends on everything from
management to its business and capital structure. This value cannot be known "ex ante"
(beforehand), but can be estimated from ex post (past) returns and past experience with similar
firms.
Cost of retained earnings/cost of internal equity
Note that retained earnings are a component of equity, and therefore the cost of retained earnings
(internal equity) is equal to the cost of equity as explained above. Dividends (earnings that are
paid to investors and not retained) are a component of the return on capital to equity holders, and
influence the cost of capital through that mechanism.
Weighted average cost of capital
Main article: Weighted average cost of capital
The Weighted Cost of Capital (WACC) is used in finance to measure a firm's cost of capital.

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The cost of capital is a term used in the field of financial investment to refer to the cost of a company's funds (both debt and equity), or, from an investor's point of view "the shareholder's required return on a portfolio company's existing securities".[1] It is used to evaluate new projects of a company as it is the minimum return that investors expect for providing capital to the company, thus setting a benchmark that a new project has to meet. Summary For an investment to be worthwhile, the expected return on capital must be greater than the cost of capital. The cost of capital is the rate of return that capital could be expected to earn in an alternative investment of equivalent risk. If a project is of similar risk to a company's average business activities it is reasonable to use the company's average cost of capital as a basis for the evaluation. A company's securities typic ...
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