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Jensen's Alpha Calculator

Calculate the excess return of a portfolio relative to its risk-adjusted expected CAPM return.

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Calculation Parameters

Specify your inputs below.

Portfolio Return (%)

Risk-Free Rate (%)

Portfolio Beta

Market Return (%)

Calculated Result

Expected CAPM Return 10.65%

Jensen's Alpha (α) 1.85%

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Expert Tip

A positive Jensen's Alpha indicates that the fund manager beat the market on a risk-adjusted basis.

How this Calculator Works

This calculator computes Jensen's Alpha, a risk-adjusted metric showing if a fund outperformed its market benchmark based on its volatility (Beta). A positive alpha indicates that the manager generated excess return relative to market risk. Portfolio analysts use it to identify superior fund performance.

Formula & Methodology

Alpha = Portfolio Return - [ Risk-Free Rate + Beta * (Market Return - Risk-Free Rate) ] - Portfolio Return is the actual rate of return of the portfolio. - Risk-Free Rate is the return on riskless assets (e.g. government bonds). - Beta is the portfolio's systematic risk indicator. - Market Return is the return of the benchmark market index.

Step-by-Step Calculation Example

Here is a step-by-step example showing how the calculations are performed:

A mutual fund returns 14% with a Beta of 1.2. The market return is 10% and the risk-free rate is 3%. 1. Calculate expected CAPM return: 3% + 1.2 * (10% - 3%) = 11.4%. 2. Subtract expected return from actual return: 14% - 11.4% = 2.6%. Result: Jensen's Alpha is 2.60%, indicating the fund generated 2.60% excess risk-adjusted return.

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Detailed Insights & Expert Guide

ℹ️ About this Calculation

This investment analytics calculator evaluates portfolio yield, compounding growth, risk-adjusted returns, present/future asset valuations, and capital growth metrics based on CFA and modern portfolio theory (MPT) principles.

Variable Glossary

Input

Investment Parameters

Initial principal, periodic contribution, interest rate, discount factor, holding period, or asset price inputs.

Parameter

Performance Metrics

Compound Annual Growth Rate (CAGR %), Net Present Value (NPV), Internal Rate of Return (IRR), or Sharpe ratio.

How to Calculate Step-by-Step

Step 1

Enter your initial investment capital, asset purchase prices, or cash flow streams.

Step 2

Set compounding frequency, discount rate, or benchmark risk-free rate factors.

Step 3

Review calculated total return value, annualized growth %, or risk-adjusted alpha/beta statistics.

FAQ

How does compounding frequency impact investment returns?

More frequent compounding (e.g. monthly or daily vs. annually) generates higher effective annual yields (APY) because interest is calculated on accumulated interest earlier in the period.

What is the difference between Sharpe Ratio and Sortino Ratio?

The Sharpe ratio divides excess return by total standard deviation (both upside and downside volatility), whereas the Sortino ratio divides excess return by downside deviation only.

Should investment calculators replace professional wealth management?

No. Investment calculators model financial mathematics under assumed growth rates. Actual market performance fluctuates, so consult a licensed financial planner (CFP) or RIA for personalized advice.