Capital asset pricing model: Difference between revisions

From ACT Wiki
Jump to navigationJump to search
imported>Doug Williamson
(Added "theoretical" to references to risk-free rate. Added internal reference to risk-free rate of return.)
(Add link.)
 
(32 intermediate revisions by 3 users not shown)
Line 1: Line 1:
''Valuation and cost of capital''.
(CAPM).  
(CAPM).  


The capital asset pricing model links the expected rates of return on traded assets with their relative levels of market risk (beta).  
The capital asset pricing model links the expected rates of return on traded assets with their relative levels of market risk (beta).  


The model’s uses include estimating a firm’s market cost of equity from its beta and the prevailing theoretical market risk-free rate of return.


The CAPM assumes a straight-line relationship between the beta of a traded asset and the expected rate of return on the asset.
The model’s uses include estimating a firm’s market cost of equity from its beta and the market risk-free rate of return.
 
The CAPM assumes a straight-line relationship between the beta of a traded asset and its expected rate of return.
 
 
The model assumes that investors expect a return equal to the theoretically risk-free rate of return, plus a premium for the degree of risk accepted.


__TOC__
==CAPM calculation==


Expressed as a formula:
Expressed as a formula:


Ke = Rf + beta x [Rm-Rf]
Re = Rf + beta x (Rm - Rf)
 
Rj = Rf + beta x (Rm - Rf)
 


Where:
Where:


Ke = cost of equity.
Re = return on equity.


Rf = theoretical [[risk free rate of return]].
Rj = return on any traded risky asset
 
Rf = theoretical [[risk-free rate of return]].


Beta = relative market risk.
Beta = relative market risk.
Line 23: Line 39:




For example where:
<span style="color:#4B0082">'''Example'''</span>


Rf = theoretical risk free rate of return = 4%;
Rf = theoretical risk free rate of return = 4%.


Beta = relative market risk = 1.2; and
Beta = relative market risk = 1.2.


Rm = average expected rate of return on the market = 9%.
Rm = average expected rate of return on the market = 9%.




Ke = 4% + 1.2 x [9% - 4% = 5%]
Return on equity (Re):
 
= 4 + 1.2 x (9 - 4)
 
= 10%.


= <u>10%.</u>
This equity investment requires an expected <u>rate of return</u> of 10%, higher than average rate of return on the market as a whole of only 9%, because its market <u>risk</u> (measured by beta = 1.2) is greater than the average market risk (of only 1.0).


This investment requires an expected <u>rate of return</u> of 10%, higher than average rate of return on the market as a whole of only 9%, because its market <u>risk</u> (measured by Beta = 1.2) is greater than the average market risk of only 1.0.


Under the capital asset pricing model only the (undiversifiable) market risk of securities is rewarded with additional returns, because the model assumes that rational market participants have all fully diversified away all specific risk within their investment portfolios.
Under the capital asset pricing model only the (undiversifiable) market risk of securities is rewarded with additional returns, because the model assumes that rational market participants have all fully diversified away all specific risk within their investment portfolios.
== Use of the CAPM to quantify cost of equity ==
When the CAPM is used to calculate an estimate of the cost of equity, it is conventionally expressed as:
Ke = Rf + beta x (Rm - Rf)
Where:
Ke = cost of equity
(& other terms are defined as above)




Line 44: Line 77:
* [[Beta]]
* [[Beta]]
* [[Business risk]]
* [[Business risk]]
* [[Capital ]]
* [[Capital gain]]
* [[Capital gain]]
* [[Cost of equity]]
* [[Cost of equity]]
* [[Dividend growth model]]
* [[Equity beta]]
* [[Equity beta]]
* [[Equity risk]]
* [[Equity risk]]
Line 52: Line 87:
* [[Market risk]]
* [[Market risk]]
* [[Market risk premium]]
* [[Market risk premium]]
* [[Model]]
* [[Modern Portfolio Theory]]
* [[Modern Portfolio Theory]]
* [[Risk]]
* [[Risk]]
* [[Risk asset]]
* [[Risk-free asset]]
* [[Risk-free rate of return]]
* [[Risk-off]]
* [[Risk-off asset]]
* [[Risk-on]]
* [[Security Market Line]]
* [[Specific risk]]
* [[Specific risk]]
* [[Systematic risk]]
* [[Systematic risk]]
[[Category:Corporate_finance]]

Latest revision as of 05:43, 10 February 2024

Valuation and cost of capital.

(CAPM).

The capital asset pricing model links the expected rates of return on traded assets with their relative levels of market risk (beta).


The model’s uses include estimating a firm’s market cost of equity from its beta and the market risk-free rate of return.

The CAPM assumes a straight-line relationship between the beta of a traded asset and its expected rate of return.


The model assumes that investors expect a return equal to the theoretically risk-free rate of return, plus a premium for the degree of risk accepted.



CAPM calculation

Expressed as a formula:

Re = Rf + beta x (Rm - Rf)

Rj = Rf + beta x (Rm - Rf)


Where:

Re = return on equity.

Rj = return on any traded risky asset

Rf = theoretical risk-free rate of return.

Beta = relative market risk.

Rm = average expected rate of return on the market.


Example

Rf = theoretical risk free rate of return = 4%.

Beta = relative market risk = 1.2.

Rm = average expected rate of return on the market = 9%.


Return on equity (Re):

= 4 + 1.2 x (9 - 4)

= 10%.

This equity investment requires an expected rate of return of 10%, higher than average rate of return on the market as a whole of only 9%, because its market risk (measured by beta = 1.2) is greater than the average market risk (of only 1.0).


Under the capital asset pricing model only the (undiversifiable) market risk of securities is rewarded with additional returns, because the model assumes that rational market participants have all fully diversified away all specific risk within their investment portfolios.


Use of the CAPM to quantify cost of equity

When the CAPM is used to calculate an estimate of the cost of equity, it is conventionally expressed as:

Ke = Rf + beta x (Rm - Rf)

Where:

Ke = cost of equity

(& other terms are defined as above)


See also

Retrieved from ‘https://wiki.treasurers.org/w/index.php?title=Capital_asset_pricing_model&oldid=54710’