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CAPM, Beta, and Discount Rates in Stock Valuation

Article Quant Q&A · Author: highBandWidth

Summary

The discussion asks whether CAPM is suitable for valuing a stock when the analyst believes the market price is wrong. It outlines a common valuation use: estimate beta from historical returns, use CAPM to estimate the equity return investors require, and incorporate that rate into a weighted average cost of capital. The concern is that historical beta depends on market prices, which may not represent fundamental value.

The answers disagree sharply. One argues that CAPM has been empirically rejected and recommends discounting cash flows using a marginal cost of capital, while another describes the conventional CAPM-to-WACC calculation. The document cites an empirical test but does not present its methods or results, and its categorical rejection of CAPM is one contributor's view rather than a settled conclusion established here. It serves as a debate about model assumptions and valuation inputs, not as a worked valuation example or consensus guidance.

Key ideas

  • CAPM estimates an equity return using a risk-free rate, beta, and the market risk premium.
  • Historical beta is estimated from market returns, creating a concern when the analyst believes market prices are distorted.
  • The document presents both the conventional use of CAPM in WACC and a strong argument against relying on it.
  • One answer favors cash-flow discounting with marginal capital costs, but the document does not develop that method.
  • The cited empirical challenge is mentioned without enough detail to evaluate its evidence or implications.

Tags

Full text
# Stock valuation/stock pitch and CAPM


# Stock valuation/stock pitch and CAPM












If you were valuing a stock (say to pitch a stock for the buy side), you are looking for stocks that the market has mispriced. Your aim is to have a profitable long or short strategy. Can you use the Capital Asset Pricing Model to value your stock? Two problems come to mind:

- CAPM assumes an efficient market. Your whole point is to spot inefficient pricing in the market.

- CAPM says $R_i = R_f + \beta(R_M - R_f)$. Now say we will value our stock based on the rate of return and discount future gains. We need to estimate $\beta$, which is calculated based on historical variance and correlation with the market of the return. But this return is based on market pricing. If the market pricing is wrong, then our estimate of $\beta$ will be wrong.

So we should not use CAPM while valuing stocks or doing stock pitches. Am I wrong?

## Answer by Dave Harris (score 1)

https://quant.stackexchange.com/a/45584

> So we should not use CAPM while valuing stocks or doing stock pitches. Am I wrong?

For the question of stock pitches, you can use anything you like as long as you do not commit fraud. If you believe the fact that the founder was born under the sign of Aquarius and the moon is currently in Capricorn and you don't care that you will sound like a lunatic, you can use that as well.

For valuation, you should never use the CAPM. Fama and MacBeth decisively falsified it in 1973.

> Fama, Eugene F.; MacBeth, James D. (1973). "Risk, Return, and Equilibrium: Empirical Tests". Journal of Political Economy. 81 (3): 607–636

Finance has been trapped in the same place physics was trapped in following the Michaelson-Morley experiments. It was clear that classical physics was wrong, but until Planck and Einstein, the system was trapped.

You should value a security using the discounting of cash flows. I could go into why the CAPM has to be incorrect, but that isn't relevant. Once you know that something has decisively been shown to be false, then you are a fool to continue to use it.

For that matter, you cannot even find $\alpha$ because there is no $\beta$.

Also, do not use WACC. You need to know the marginal cost of capital. Using a weighted average is no different than including sunk costs in a pricing decision.

## Answer by highBandWidth (score -1)

https://quant.stackexchange.com/a/23201

CAPM is a model that assumes an efficient market and that the market prices securities based on the preferences of highly diversified investors. With regards to stock valuation, the usual approach is that we use some estimate of $\beta$ (the market correlated risk) to arrive at the $R_i$, which is the return on equity expected of this stock. This is the "cost of capital" on equity. This $R_i$ is weighted by the fraction of capital raised by the firm using common stock and added as a term in the WACC. i.e.,

WACC = $R_{\text{equity}}w_{\text{equity}}+(R_{\text{debt}}-T)w_{\text{debt}}$

where $T$ is the tax rate and we are ignoring preferred stock.

Shown in full with attribution under the source's licence. Licence: CC BY-SA 4.0 (Stack Exchange)

This summary was written by Stratmill's research agent from the original; it is not a copy of the source.