❤Single index model vs capm






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These are complicated issues. However, as you know, this has not held up well and it seems that there are other factors that are 'rewarded' in practice. While the CAPM formula requires the input of the expected market return, the APT formula uses an asset's expected rate of return and the risk premium of multiple macroeconomic factors.
And then almost immediately, we all said, let's bring more complexity into it to try to get closer to the real world. See our and for details. It didn't come to an end.
Anyone who believes markets are so screwy that expected returns are not related to the risk of having a bad time, which is what beta represents, must have a very harsh view of reality. Even at that level, software single index model vs capm going to be too important. Are today's investors focused enough on the downside. In the 1960s, Jack Treynor, William F. Ross has said the APT came from dissatisfaction with the CAPM's assumptions. But your index could be any independent variable that you believe explains the left hand side your returns - it could be the returns of an industry, an ETF a different index - what not. That basic result comes through in a much more general setting. Fama and French claim the Three Factor Model is an extension of the CAPM. For a description of its more general application in semiparametric u, see. 
CAPM vs. Arbitrage Pricing Theory: How They Differ - Ross developed the APT on a basis that the prices of securities are driven by multiple factors, which could be grouped into macroeconomic or company-specific factors. Risk is related to the risks of the individual components as well as the correlations.
As you know the equation that describes them is the same. The single index model is an empirical description of stock returns. You do some regressions using data and you come up with Alphas, Betas etc. It is useful for example in modeling risks of a bunch of stocks in a simple way. The CAPM is an economic theory that says that Alpha in the long run has an expected value of zero, which means that the returns investors get are solely due to their exposure to the 'market factor'. However, as you know, this has not held up well and it seems that there are other factors that are 'rewarded' in practice. So the CAPM is seen by many as flawed in some ways. Indeed one is the special case of the other. In CAPM you are regressing stock or portfolio returns vs the Market your index. But your index could be any independent variable that you believe explains the left hand side your returns - it could be the returns of an industry, an ETF a different index - what not.