Expected Return Calculator
Created by: Lucas Grant
Last updated:
Calculate the expected return on an investment using CAPM (risk-free rate + beta × equity risk premium) or probability-weighted scenario analysis. Compare your expected return to an analyst estimate to assess whether the investment is attractively priced.
Expected Return Calculator
FinanceEstimate investment expected return using CAPM or probability-weighted scenario analysis.
What Is an Expected Return Calculator?
An expected return calculator estimates the return you can anticipate from an investment, either by applying the Capital Asset Pricing Model (CAPM) — which prices risk relative to the market — or by building a probability-weighted scenario analysis using your own outcome forecasts.
CAPM links expected return to systematic risk (beta), while scenario analysis allows you to model specific outcomes with assigned probabilities.
Both approaches help investors decide whether a potential return adequately compensates for the risk being taken.
How Expected Return Is Calculated
In CAPM mode, expected return = Risk-Free Rate + Beta × Equity Risk Premium.
A stock with a beta of 1.2 and a 5.5% ERP would be expected to earn 1.2 × 5.5% = 6.6% above the risk-free rate.
In scenario mode, each scenario's return is multiplied by its probability, and the products are summed to get the probability-weighted expected return.
Probabilities must sum to 100% for the result to be valid.
The calculator also accepts an analyst estimate for comparison.
If the asset's calculated expected return exceeds the analyst consensus, it may suggest the market is underestimating the upside — or that your assumptions are more optimistic.
Expected Return Formulas
CAPM: E(R) = Rf + β × ERP
Scenario: E(R) = Σ (Return_i × Probability_i)
Rf = Risk-free rate (e.g., 10-yr Treasury yield)
β = Beta (asset sensitivity to market)
ERP = Equity risk premium (market return − risk-free rate)
Example Scenarios
CAPM — High-Beta Tech Stock
A tech stock has a beta of 1.4. With a risk-free rate of 4.5% and an ERP of 5.5%, CAPM estimates the expected return as 4.5% + 1.4 × 5.5% = 12.2%. If the analyst consensus estimate is 10%, the calculator shows the CAPM return exceeds the consensus by 2.2% — suggesting either the stock carries more risk than analysts are pricing, or the consensus is too conservative.
Scenario Analysis — Biotech Binary
A biotech stock has two main scenarios: FDA approval (55% probability, +90% return) and rejection (45% probability, −60% return). Expected return = (55% × 90%) + (45% × −60%) = 49.5% − 27% = 22.5%. Despite the high expected return, the −60% loss scenario means this is a high-risk position appropriate only for investors who can tolerate binary outcomes.
Low-Beta Defensive Stock
A consumer staples company has a beta of 0.65. CAPM expected return = 4.5% + 0.65 × 5.5% = 8.075%. This is below the market expected return, reflecting its defensive, lower-risk profile. A risk-averse investor may accept the lower expected return in exchange for less portfolio volatility.
How People Use This Calculator
- Screening stocks to identify whether expected return compensates for systematic risk
- Building a required rate of return for discounted cash flow (DCF) models
- Comparing analyst consensus estimates to CAPM-derived expectations
- Modeling binary or scenario-based investments with probability-weighted outcomes
- Setting hurdle rates for capital allocation decisions
Expected Return Analysis Tips
CAPM is a single-factor model that captures only systematic (market) risk.
For individual stocks, unsystematic risk (company-specific) also matters, but CAPM ignores it on the assumption that diversified investors don't require compensation for it.
If you are analyzing an undiversified position, scenario analysis may provide a more complete picture.
Beta is backward-looking: it is typically estimated from 3–5 years of historical returns.
Structural changes in a company's business model, leverage, or industry may make the historical beta a poor predictor of future risk.
Levered beta adjustments (Hamada equation) can help when comparing companies with different capital structures.
The equity risk premium is not a fixed number — it changes with market valuations, interest rates, and investor sentiment.
Damodaran's monthly implied ERP estimates are widely regarded and freely available online.
Frequently Asked Questions
What is expected return and why does it matter?
Expected return is the weighted average of all possible outcomes for an investment, where each outcome is weighted by its probability. It represents the average return an investor can anticipate over many periods. Expected return matters because it provides a benchmark for comparing investments: if an asset's expected return exceeds its required return (adjusted for risk), it may be undervalued; if it falls short, it may be overvalued or not worth the risk.
What is the Capital Asset Pricing Model (CAPM)?
CAPM is a widely used model that estimates an asset's expected return based on its systematic risk (beta). The formula is: Expected Return = Risk-Free Rate + Beta × Equity Risk Premium. The risk-free rate is typically the yield on 10-year U.S. Treasury bonds. Beta measures how much the asset moves relative to the market (beta of 1 means it moves with the market; >1 means more volatile; <1 means less). The equity risk premium (ERP) is the additional return investors demand for holding stocks over risk-free bonds — historically around 5–6% for U.S. equities.
What is beta and how do I find it?
Beta measures the sensitivity of an asset's returns to market returns. A beta of 1.0 means the asset moves in line with the market. Beta > 1.0 means the asset amplifies market movements (higher risk, higher expected return per CAPM). Beta < 1.0 means the asset is less volatile than the market. Beta can be negative for assets that tend to move opposite the market (e.g., gold, some put options). You can find a stock's beta on any major financial data provider (Bloomberg, Yahoo Finance, Morningstar), typically based on 3–5 years of monthly returns vs. the S&P 500.
What equity risk premium should I use?
The equity risk premium (ERP) represents the excess return investors expect from equities over the risk-free rate. The historical realized ERP in U.S. markets has averaged roughly 4–6% over long periods. Damodaran's implied ERP (based on current S&P 500 valuations and earnings forecasts) is commonly used for forward-looking estimates and is updated monthly. For most purposes, 5–5.5% is a reasonable current estimate, though some practitioners use higher figures for small-cap or international equities.
When should I use scenario analysis instead of CAPM?
Scenario analysis is most useful when you have specific views on discrete outcomes — for example, modeling a biotech stock where outcome A (drug approval, 60% probability, +80% return) and outcome B (rejection, 40% probability, −50% return) are the key scenarios. CAPM is better suited to diversified portfolios and benchmarking expected returns against market risk. For individual securities with binary or highly variable outcomes, scenario analysis captures the distribution of returns more directly than a single beta-derived estimate.
Sources and References
- Sharpe, W. F. (1964). "Capital asset prices: A theory of market equilibrium under conditions of risk." Journal of Finance.
- Damodaran, A.: Equity Risk Premiums (ERP) — Updates available at pages.stern.nyu.edu/~adamodar
- CFA Institute: Capital Market Theory and Portfolio Management
- Fama, E. F. & French, K. R. (1992). "The cross-section of expected stock returns." Journal of Finance.