The M2 measure adjusts the portfolio return for total risk and is calculated as follows:
M2=(SR×σm)+Rf
where:
- SR is the Sharpe ratio (0.8),
- σm is the market standard deviation of returns (12%),
- Rf is the risk-free rate (2%).
Substituting the values:
M2=(0.8×0.12)+0.02=0.116 or 11.6%
The M2 alpha is the difference between the M2 measure and the market return:
M2 alpha =M2−Rm=0.116−0.08=0.036 or 3.6%
Thus, the correct answer is A (3.6%).