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Discount Rate

CAPM Explained: Understanding Discount Rates

The Capital Asset Pricing Model is the foundation for calculating the required rate of return in stock valuation

8 min read

The Dilution-Aware Investor's Guide - Understanding how CAPM fits into the complete valuation framework
1. What is CAPM?

The Capital Asset Pricing Model (CAPM) is a financial model that calculates the expected return an investor should demand for holding a risky asset. In stock valuation, this expected return becomes the discount rate — the rate used to convert future cash flows into present value.

Why Does the Discount Rate Matter?

The discount rate is arguably the most important input in any DCF valuation. A higher discount rate means future cash flows are worth less today, resulting in a lower fair value. A lower discount rate means the opposite — higher fair value.

CAPM answers a fundamental question: "Given the risk of this stock, what return should I expect to compensate me for that risk?"

2. The CAPM Formula

The Formula

d = Rf + β × (Rm − Rf)

Variables

  • d = Discount rate (required return)
  • Rf = Risk-free rate
  • β = Beta (systematic risk)
  • Rm = Expected market return
  • Rm − Rf = Market risk premium

Intuition

Start with the risk-free rate (what you'd earn with zero risk), then add a premium for taking on market risk. The premium is scaled by beta — how much the stock moves with the market.

Anatomy of the CAPM Formula showing Risk-Free Rate as the base layer plus Risk Premium (Beta × Market Risk Premium) equals Total Discount Rate
The CAPM Building Blocks: The discount rate is simply the baseline cost of money (Risk-Free Rate) plus a surcharge for risk (Beta × Market Risk Premium).
3. Risk-Free Rate (Rf)
The baseline return with zero risk

The risk-free rate represents the return you could earn on an investment with zero default risk. In practice, this is typically the yield on government bonds, specifically the 10-Year U.S. Treasury yield.

Why 10-Year Treasury?

  • • U.S. government bonds are considered "risk-free" (no default risk)
  • • 10-year duration matches typical investment horizons
  • • Highly liquid and widely quoted
  • • Current rate: approximately 4-5% (as of 2025)
4. Beta (β)
Measuring systematic risk

Beta measures how much a stock's price moves relative to the overall market (typically the S&P 500). It quantifies systematic risk — the risk that cannot be diversified away.

Beta ValueInterpretationExample
β = 1.0Moves with the marketS&P 500 index fund
β > 1.0More volatile than marketTech stocks (NVDA β ≈ 1.7)
β < 1.0Less volatile than marketUtilities (β ≈ 0.5)
β < 0Moves opposite to marketGold, some hedge funds

How Beta is Calculated

Beta is calculated by regressing the stock's historical returns against market returns. BurryDCF uses industry-average betas from Damodaran's database, which are more stable than individual stock betas.

5. Market Risk Premium (Rm − Rf)
The extra return for taking market risk

The market risk premium is the additional return investors expect for investing in the stock market instead of risk-free bonds. It's calculated as the expected market return minus the risk-free rate.

Historical Average

Historically, the U.S. equity market has returned about 10-11% annually, while Treasury bonds have returned about 4-5%. This implies a market risk premium of approximately 5-7%.

BurryDCF Default

BurryDCF uses a market risk premium of 5.5% by default, which is consistent with academic research and practitioner estimates.

6. Example Calculation
Putting it all together

Let's calculate the discount rate for a tech stock with the following inputs:

Inputs

  • • Risk-free rate (Rf) = 4.5% (10-Year Treasury)
  • • Beta (β) = 1.2 (slightly more volatile than market)
  • • Market risk premium = 5.5%

Calculation

d = Rf + β × (Rm − Rf)

d = 4.5% + 1.2 × 5.5%

d = 4.5% + 6.6%

d = 11.1%

This means an investor should require an 11.1% annual return to compensate for the risk of holding this stock. This rate is then used to discount future cash flows in the DCF model.

7. How BurryDCF Uses CAPM

When you enter a stock ticker in BurryDCF, the app automatically calculates the discount rate using CAPM:

1

Fetch Risk-Free Rate

Current 10-Year Treasury yield from FRED API (daily cached)

2

Look Up Industry Beta

Industry-average beta from Damodaran's database (more stable than individual betas)

3

Apply CAPM Formula

Calculate discount rate with 5.5% market risk premium (adjustable)

4

Use in Valuation

The discount rate becomes "d" in both the Gordon Growth Model and Burry's dilution-aware formula

Continue Learning
Now that you understand discount rates, learn about the other inputs to valuation
Cash Flow

Owner's Earnings: The True Cash Flow

Learn how to calculate the true cash flow available to shareholders using Michael Burry's methodology.

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Valuation

Burry's Dilution-Aware DCF Guide

Put it all together: learn how to adjust the Gordon Growth Model for stock dilution.

Read more →

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