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# Suppose the realized rate of return on the market portfolio is one percentage point greater than its expected return. How would the realized rate of return compare with the expected return of a security with a beta of +2?

Jun 04, 2013 by Quentin from San Antonio, TX in  |

There really is no way to know without more information. Here is why:

Example 1-

Portfolio 1: Expected was 1%, Realized is 2% (1 percentage point higher) +2 Beta Security: Expected is 2% (2x the expected return of the first portfolio)

Example 2-

Portfolio 1: Expected was 10%, Realized is 11% +2 Beta Security: Expected is 20%

Clearly in order to solve this you need to know more. In the first example the realized and expected returns are identical. In the second example, however, the expected return of the +2 Beta security is closer to double what the realized return of the portfolio was.

Comment   |  Flag   |  Jun 13, 2013 from St. Louis, MO

If I'm interpreting your question correctly: A security with a beta of 2.0 is expected to gain twice as much as the market in an up market and lose twice as much as the market in a market decline. It's theoretically twice as volatile as the S&P 500. A security with a beta of 1 or 1% greater would theoretically be less volatile than the 2.0 security and provide a lower return.

Comment   |  Flag   |  Jun 04, 2013 from Woodland Hills, CA

Besides the previous comments, there is an assumption made that the two securities' returns are highly correlated with each other. If they are not, it is not statistically correct to depend on beta as a risk measure.

Comment   |  Flag   |  Feb 13, 2018 from Appleton, WI