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Assessing Project-Specific Size Risk in CAPM

Article Quant Q&A · Author: John Doe
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Summary

The document asks whether size adjustments developed for stock returns can help estimate the required return on a specific project, such as a dam. It frames the question using CAPM with an added term, θᵢ, beyond the risk-free rate and the asset’s market beta premium. The author wants to know what literature or method could support estimating that term as a project-size risk premium.

No estimation procedure, empirical evidence, or recommended benchmark is provided; the text is a question rather than an answer. Its main caution is that a stock-market size effect may not transfer directly to project valuation. The appropriate adjustment would depend on what risks project size represents and whether those risks are already captured by beta or other cash-flow and discount-rate assumptions. The document leaves those definitions and methods unresolved, so it serves as a framing question rather than practical guidance.

Key ideas

  • The document asks whether stock size premia can inform project valuation.
  • It expresses a possible project-specific adjustment as an additional term in CAPM.
  • It gives a dam construction as an example of a project being valued.
  • It provides no method or evidence for estimating the adjustment.

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StatisticsRisk management
Full text
# Measuring size risk in CAPM. How one could go about?


# Measuring size risk in CAPM. How one could go about?












I am using valuation methods (e.g. CAPM) in order to measure some projects "baseline" return. I'm not using these measures for stocks returns, but to evaluate specific projects (e.g. dam constructions). I understand that there are methods to apply size in CAPM in stocks returns (e.g. measure the additional return of small companies), but I'm not sure if those methods apply to my problem.

If I were to measure a risk (return) associated to a project's size, what is the benchmark literature or the more appropriate method? For instance, how could I go about in order to measure a $\theta_i$ parameter in the following equation CAPM:

$$r_i = r_f + \beta_i(r_m-r_f) + \theta_i$$

Where $r_i$ is the asset's return, $r_f$ is the riskless return (e.g. 10 year bond's return), $\beta_i$ measures the risk of the asset and $r_m$ (e.g. SP500 return) measures the market return.

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