# Alpha

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## Alpha

Measure of risk-adjusted performance. Some refer to the alpha as the difference between the investment return and the benchmark return. However, this does not properly adjust for risk. More appropriately, an alpha is generated by regressing the security or mutual fund's excess return on the benchmark (for example S&P 500) excess return. The beta adjusts for the risk (the slope coefficient). The alpha is the intercept. Example: Suppose the mutual fund has a return of 25%, and the short-term interest rate is 5% (excess return is 20%). During the same time the market excess return is 9%. Suppose the beta of the mutual fund is 2.0 (twice as risky as the S&P 500). The expected excess return given the risk is 2 x 9%=18%. The actual excess return is 20%. Hence, the alpha is 2% or 200 basis points. Alpha is also known as the Jensen Index. The alpha depends on the benchmark used. For example, it may be the intercept in a multifactor model that includes risk factors in addition to the S&P 500. Related: Risk-adjusted return.

## Alpha

1. The measure of the performance of a portfolio after adjusting for risk. Alpha is calculated by comparing the volatility of the portfolio and comparing it to some benchmark. The alpha is the excess return of the portfolio over the benchmark. It is important to Markowitz portfolio theory and is used as a technical indicator.

2. The excess return that a portfolio makes over and above what the capital asset pricing model estimates.

## alpha

The mathematical estimate of the return on a security when the market return as a whole is zero. Alpha is derived from a in the formula Ri = a + bRm which measures the return on a security (Ri) for a given return on the market (Rm) where b is beta. See also capital-asset pricing model, characteristic line.

## Alpha.

Alpha measures risk-adjusted return, or the actual return an equity security provides in relation to the return you would expect based on its beta. Beta measures the security's volatility in relation to its benchmark index.

If a security's actual return is higher than its beta, the security has a positive alpha, and if the return is lower it has a negative alpha.

For example, if a stock's beta is 1.5, and its benchmark gained 2%, it would be expected to gain 3% (2% x 1.5 = 0.03, or 3%). If the stock gained 4%, it would have a positive alpha.

Alpha also refers to an analyst's estimate of a stock's potential to gain value based on the rate at which the company's earnings are growing and other fundamental indicators.

For example, if a stock is assigned an alpha of 1.15, the analyst expects a 15% price increase in a year when stock prices are generally flat. One investment strategy is to look for securities with positive alphas, which indicates they may be undervalued.

References in periodicals archive ?
Fortran Compiler and Switches Machine Compiler Flags IBM POWER2 xlf AIX v1.3.0.24 -03 HP 712 f77 v9.16 -0 DEC Alpha f77 v3.8 -05 SGI Indigo2 f77 v5.3 -03 -mips2
LU Performance on DEC and SGI DEC Alpha SGI Indigo Size LABlk LAMf CBlk CMf Speedup LABlk LAMf CBlk 25x25 1 43 8 53 1.25 8 20 8 50x50 8 74 8 78 1.05 8 34 8 75x75 16 96 8 96 1.00 8 34 8 100x100 16 116 8 110 0.95 8 37 8 150x150 32 138 8 113 0.82 8 39 8 200x200 32 156 8 124 0.79 8 40 16 300x300 32 181 16 132 0.73 8 41 16 500x500 32 212 8 148 0.70 38 32 32 Size CMf Speedup 25x25 21 1.05 50x50 28 0.824 75x75 29 0.853 100x100 29 0.784 150x150 28 0.718 200x200 29 0.725 300x300 30 0.732 500x500 29 0.763 Table VI.
For the DEC Alpha, Table V shows that our algorithm performs as well as or better than the LAPACK version on matrices of order 100 or less.
Dynix's Internal Product Support Group were impressed with the speed and response of not only the DEC Alpha AXP platform but also the entire computing environment provided by Digital.
Put some DEC Alphas in a basic server room, and the Alphas created an instant sauna.

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