The formula to calculate the Information Ratio (IR) is:
IR=PR−BRTE
Where:
Let's say the portfolio return (PR) is 10%, the benchmark return (BR) is 8%, and the tracking error (TE) is 2%. Using the formula:
IR=PR−BRTE=10−82=1
So, the Information Ratio (IR) is 1.
The Information Ratio (IR) is a measure of portfolio performance relative to a benchmark, adjusted for the risk taken. It is calculated by dividing the difference between the portfolio return and the benchmark return by the tracking error. A higher Information Ratio indicates better risk-adjusted performance.