Calculating Jensen's alpha
You need four pieces of information to calculate Jensen's alpha:
- Ri = The realized return of the portfolio or investment in question
- Rm = The realized return of the benchmark or market index
- Rf = The risk-free rate of return for the time period
- B = The beta of the investment portfolio relative to the chosen benchmark
The formula
The formula itself is pretty simple. It looks like this:
Alpha = Ri - (Rf + (B * (Rm - Rf)))
Example
So, let's assume that:
- Ri = 20%
- Rm = 10%
- Rf = 2%
- B = 1.2
The formula would work like this:
Alpha = 20% - (2% + (1.2 * (10% - 2%)))
Alpha = 20% - (2% + 9.6%)
Alpha = 20% - (11.6%)
Alpha = 8.4%
Since it's positive, that means you're beating your benchmark -- so great job, you!