15th Mar 2010

What is the formula for the Beta of an Asset (B_A)?

  • Let's say we want to derive the Beta of an asset given the Beta of the equity (B_E) and the leverage. If B_E = .76 and the leverage = 12% what is the B_A? and what is the overall formula used to derive this answer?


  • Pirate -- Nringo steered you correctly. Some assumptions must be made about the beta of debt. Often in capital-asset models, it's that beta of debt is zero or that the firm is unlevered. Why is the beta of debt zero? Debt is substantially less-risky than equity, since returns are paid first to bondholders. Changes in investment policy to make the firm "riskier" get reflected in the stock and its beta first, so assuming the beta of debt to be zero is easy. Plus it's the only way to solve most CAPM problems! Google search strategy: "beta of debt" + assumptions Best regards, Omnivorous-GA


  • beta_assets = beta_debt* (debt/value) + beta_equity* (equity/value)


  • This answer did not answer the question. remember we said we are only given the lverage and the beta of the equity. We are not given the beta of the debt as this answer idicates.


  • Our company has debt. This is indicated by the 14% leverage in the problem statement.







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