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[学术与投稿] 请问capital market line 和security market line 的区别 [推广有奖]

11
anyoung 发表于 2011-5-27 10:44:45
Security market line (SML) is the graphical representation of the Capital asset pricing model. It displays the expected rate of return of an individual security as a function of systematic, non-diversifiable risk (its beta).[1]

[url][/url]http://en.wikipedia.org/wiki/Security_market_line

12
anyoung 发表于 2011-5-27 10:45:24
The Y-intercept (beta=0) of the SML is equal to the risk-free interest rate. The slope of the SML is equal to the market risk premium and reflects the risk return trade off at a given time:


When used in portfolio management, the SML represents the investment's opportunity cost (investing in a combination of the market portfolio and the risk-free asset). All the correctly priced securities are plotted on the SML. The assets above the line are undervalued because for a given amount of risk (beta), they yield a higher return. The assets below the line are overvalued because for a given amount of risk, they yield a lower return.[2]

There is a question what the SML is when beta is negative. A rational investor should reject all the assets yielding sub-risk-free returns, so beta-negative returns have to be higher than the risk-free rate. Therefore, the SML should be V-shaped.

All of the portfolios on the SML have the same Treynor ratio than the market portfolio, i.e.


In fact, the slope of the CML is the Treynor ratio of the market portfolio since βM = 1.

A stock picking rule of thumb for assets with positive beta is to buy if the Treynor ratio is above the SML and sell if it is below (see figure above). Indeed, from the efficient market hypothesis it follows that we cannot beat the market. Therefore, all assets should have a Treynor ratio less than or equal than the market's. In consequence, if there is an asset whose Treynor ratio is bigger than the market's then this asset gives more return for unity of systematic risk (i.e. beta), which contradicts the efficient market hypothesis.

This abnormal extra return over the market's return at a given level of risk is what is called the alpha.
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13
桃朵朵的花 发表于 2013-5-20 20:53:30
回答的真好呀~!

14
wⅠLBur 学生认证  发表于 2015-11-16 21:25:46 来自手机
ГX

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