Portfolio & Risk

Sharpe and Sortino ratios, beta, alpha, R², standard deviation, and Modern Portfolio Theory metrics.

Portfolio Risk Metrics

Sharpe Ratio

(Rₚ − Rf) / σₚ

Sortino Ratio

(Rₚ − Rf) / σₐ (downside σ)

Treynor Ratio

(Rₚ − Rf) / β

Jensen's Alpha

α = Rₚ − [Rf + β(Rₘ − Rf)]

Information Ratio

(Rₚ − Rb) / TE (tracking error)

CAPM

Expected return

E(R) = Rf + β·(E(Rₘ) − Rf)

β > 1 ⇒ more volatile than market. β < 1 ⇒ defensive. β = 1 ⇒ moves with market.

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Beta Hedge

Determine the number of index futures lots needed to hedge a portfolio using beta.

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