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[[Image:SCL-plot.PNG|320px|thumb|Security characteristic line<br /><br />'''Positive abnormal return (α)''': Above-average returns that cannot be explained as compensation for added risk<br /><br />'''Negative abnormal returns (α)''': Below-average returns that cannot be explained by below-market risk]]
'''Security characteristic line''' (SCL) is a regression line,<ref>[http://www.investopedia.com/terms/c/characteristicline.asp Characteristic Line]</ref> plotting performance of a particular security or portfolio against that of the [[market portfolio]] at every point in time. The SCL is plotted on a graph where the Y-axis is the excess return on a security over the [[risk-free interest rate|risk-free return]] and the X-axis is the excess return of the market in general. The slope of the SCL is the security's [[beta (finance)|beta]], and the intercept is its [[Alpha (finance)|alpha]].<ref>[http://financial-dictionary.thefreedictionary.com/Security+characteristic+line Security Characteristic Line]</ref>
 
==Formula==
:<math>\mathrm{SCL} : R_{i,t} - R_{f} = \alpha_i + \beta_i\,  ( R_{M,t} - R_{f} ) + \epsilon_{i,t} \frac{}{}</math>
 
where:
:''α<sub>''i''</sub>'' is called the asset's [[Alpha (finance)|alpha]] (abnormal return)
:''β<sub>i</sub>(R<sub>M,t</sub> – R<sub>f</sub>)'' is a nondiversifiable or systematic risk
:''ε<sub>i,t</sub>'' is the non-systematic or diversifiable, non-market or idiosyncratic risk
:''R<sub>M,t</sub>'' is a market risk
:''R<sub>f</sub>'' is a risk-free rate
 
==See also==
* [[Security market line]]
* [[Capital allocation line]]
* [[Capital market line]]
* [[Modern portfolio theory]]
 
==References==
{{Reflist}}
 
==External links==
*[http://faculty.philau.edu/malhotrad/CAPM.ppt CAPM and the Characteristic Line]
*[http://fisher.osu.edu/~kho_1/Ch07_capm.ppt Chapter 7 CAPM]
*[http://www.msu.edu/~john1955/Hirsch-ch13b.ppt Chapter 13]
 
{{stock market}}
 
{{DEFAULTSORT:Security Characteristic Line}}
[[Category:Investment]]

Revision as of 19:28, 20 June 2013

Security characteristic line

Positive abnormal return (α): Above-average returns that cannot be explained as compensation for added risk

Negative abnormal returns (α): Below-average returns that cannot be explained by below-market risk

Security characteristic line (SCL) is a regression line,[1] plotting performance of a particular security or portfolio against that of the market portfolio at every point in time. The SCL is plotted on a graph where the Y-axis is the excess return on a security over the risk-free return and the X-axis is the excess return of the market in general. The slope of the SCL is the security's beta, and the intercept is its alpha.[2]

Formula

where:

αi is called the asset's alpha (abnormal return)
βi(RM,t – Rf) is a nondiversifiable or systematic risk
εi,t is the non-systematic or diversifiable, non-market or idiosyncratic risk
RM,t is a market risk
Rf is a risk-free rate

See also

References

43 year old Petroleum Engineer Harry from Deep River, usually spends time with hobbies and interests like renting movies, property developers in singapore new condominium and vehicle racing. Constantly enjoys going to destinations like Camino Real de Tierra Adentro.

External links

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