{
  "slug": "beta-capm",
  "name": "Beta (CAPM)",
  "category": "Portfolio Theory",
  "description": "Sensitivity of an asset's returns to market returns: β = Cov(R_a, R_m) / Var(R_m).",
  "formula": "β = Cov(R_a, R_m) / Var(R_m)",
  "formula_latex": "\\beta = \\dfrac{\\text{Cov}(R_a, R_m)}{\\text{Var}(R_m)}",
  "parameters": [
    {
      "name": "Asset returns",
      "symbol": "R_a",
      "type": "vector",
      "default": []
    },
    {
      "name": "Market returns",
      "symbol": "R_m",
      "type": "vector",
      "default": []
    }
  ],
  "outputs": [
    {
      "name": "Beta",
      "symbol": "β",
      "type": "number"
    },
    {
      "name": "Alpha (intercept)",
      "symbol": "α",
      "type": "number"
    },
    {
      "name": "R²",
      "symbol": "R²",
      "type": "number"
    }
  ],
  "related_terms": [
    "beta",
    "alpha",
    "capm",
    "regression"
  ]
}