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Subject 6. Applications of the CAPM PDF Download

Security Characteristic Line

A security characteristic line (SCL) graphs the relationship between the excess market return and excess security return.

Ri - Rf = αi - βi (Rm - Rf)

If we compare the SML and the SCL:

While there is only one SML, there are many different SCLs for securities with different betas.

Security Selection

Overvalued and undervalued securities are those securities that do not lie on the SML line. By definition, securities that are efficiently priced should fall directly on the (calculated) SML line. If a security is above the line it is deemed undervalued since it is providing more expected return than what is demanded for that risk level. Securities falling below the SML line, on the other hand, provides less return than the market demands. Securities that fall below the SML are considered overvalued. In the former case, the security price will be bid up, such that the expected return declines and the security falls back to the SML line. In a situation where the security is overvalued, the security price declines until the expected return rises.

All assets and all portfolios should plot on the SML.

  • Stock C has an estimated rate of return equal to its systematic risk or required rate of return.
  • Stock B is expected to provide a rate of return above the required rate of return.
  • Stock A is expected to provide a rate of return below the required rate of return.
  • Investors should buy B (undervalued).
  • Investors should sell A (overvalued).

Constructing a Portfolio

As the number of securities increases, the portfolio manager can eliminate unsystematic risk (or diversifiable risk) and focus on systematic or undiversifiable risk. As you can see, much of the unsystematic risk can be diversified away in as few as 30 securities.

To construct a market portfolio you can start with a portfolio of securities like the S&P 500. You can then evaluate the α of any security, using the CAPM and the S&P 500 as the market portfolio. If the α is positive, add the security to the portfolio. If a security's α is negative and it is already included in the portfolio, remove it. You can also use the information ratio of each individual security to determine the relative weight of the security in the portfolio.

User Contributed Comments 6

User Comment
papajeff It would be easier to be interested in this if any of it actually worked.
johntan1979 It IS easy to be interested in this if $1,000 bucks means a lot to you and one question from this topic is all that matters between passing and failing.
robertucla yes, kind of sucks we still have to learn this even though most of this proven wrong
jonan203 right or wrong, there are two sides to every trade and knowing how your enemy thinks will give you an edge over any trades they make.

know thine enemy = victory
RamaG @jonathan: as important 1k might be, having to re-appear in 6 mos / 1 yr and re- read L1 LOS and missing the boat on L2 by 6 mos - 1 yr is a motivation enought to go thought every line comprehensively :))
Allen88 ut doesn't a positive alpha comes from most recent returns and thus we still have uncertainty about its future returns???
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You have a wonderful website and definitely should take some credit for your members' outstanding grades.
Colin Sampaleanu

Colin Sampaleanu

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