case-23 · gemini-3.6-flash · 8/28/2026 · answers are capped and redacted
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SKILL.md105 lines3 filesincludes scripts
Capital Asset Pricing Model (CAPM)
Overview
CAPM (Sharpe, 1964; Lintner, 1965) establishes a linear relationship between systematic risk and expected return. The model states that the expected return on any asset equals the risk-free rate plus a premium for bearing market risk, scaled by the asset's beta.
When to Use
Estimating required rate of return for equity valuation
Calculating cost of equity in WACC
Comparing asset risk via beta
Evaluating portfolio performance against the Security Market Line (SML)
When NOT to Use
When the asset has significant exposure to size, value, or other factors beyond market risk
For illiquid or non-traded assets where beta estimation is unreliable
When market portfolio proxy is questionable (Roll's critique)
Assumptions
IRON LAW: CAPM only prices SYSTEMATIC risk — diversifiable (unsystematic)
risk earns NO premium. An asset's expected return depends solely on its
beta with the market portfolio.
Key assumptions:
Investors are mean-variance optimizers with homogeneous expectations
A risk-free asset exists for unlimited borrowing and lending
Markets are frictionless — no taxes, transaction costs, or short-selling constraints
All assets are infinitely divisible and publicly traded
Methodology
Step 1 — Identify Inputs
Risk-free rate (Rf): government bond yield matching investment horizon
Market return E(Rm): historical average or forward-looking estimate
Beta: regression of asset returns against market returns
Apply Consumer Culture Theory to analyze consumption as a cultural practice shaped by identity, marketplace cultures, and ideology. Use this skill when the user needs to interpret consumer behavior through cultural lenses, analyze brand communities or subcultures of consumption, decode marketplace ideologies, or when they ask 'why do consumers behave this way culturally', 'what does this consumption mean', or 'how does identity shape buying'.