Financial Calculators

Calculate Jensen's Alpha Easily

Determine the performance of your investment portfolio compared to a benchmark.

Jensen's Alpha Calculator

Table of contents

◦Jensen's Alpha Calculator
◦Formula
◦How to use
◦FAQ

Jensen's Alpha Calculator

Jensen's Alpha is a measure used in finance to determine the risk-adjusted performance of an investment portfolio. It compares the portfolio's returns to what would be expected based on its beta, which measures its volatility relative to a benchmark. This calculator helps investors assess whether their portfolio has outperformed or underperformed the market after adjusting for risk.

In real-world applications, Jensen's Alpha can be particularly useful for portfolio managers and individual investors who want to evaluate the effectiveness of their investment strategies. By using this calculator, you can input your portfolio's return, the risk-free rate, the benchmark return, and the portfolio's beta to determine the alpha value. A positive alpha indicates that the portfolio has outperformed the benchmark after adjusting for risk, while a negative alpha suggests underperformance.

Formula

The formula for calculating Jensen's Alpha is as follows:

jensensAlpha = (portfolioReturn - riskFreeRate) - beta * (benchmarkReturn - riskFreeRate)

Where:

  • portfolioReturn is the total return of the investment portfolio.
  • riskFreeRate is the return of a risk-free asset, typically government bonds.
  • benchmarkReturn is the return of the benchmark index.
  • beta is a measure of the portfolio's volatility in relation to the benchmark.

How to use

  1. Enter the risk-free rate as a percentage. This is often derived from the yield of government securities.
  2. Input the total return of your investment portfolio as a percentage.
  3. Provide the return of the benchmark index you are comparing against, also as a percentage.
  4. Enter the beta value of your portfolio, which reflects its volatility compared to the benchmark.
  5. Click the calculate button to obtain Jensen's Alpha.

FAQ

What does a positive Jensen's Alpha mean?

A positive Jensen's Alpha indicates that the portfolio has outperformed its benchmark after accounting for risk. This suggests that the portfolio manager has added value through their investment decisions.

How is beta calculated?

Beta is typically calculated using historical return data of the portfolio and the benchmark. It measures the sensitivity of the portfolio's returns to the benchmark's returns.

Can I use this calculator for any investment portfolio?

Yes, this calculator can be used for any investment portfolio, provided you have the necessary data: the portfolio return, risk-free rate, benchmark return, and beta.