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Quantitative Finance · Glosario

¿Qué es Mean–variance optimisation, risk-aversion parameter, efficient frontier?

También llamado: mean--variance optimisation · risk-aversion parameter · efficient frontier

Definition 25.1 Research Craft: Predictors, Backtests, Measurement, Portfolios · Capítulo 25 — Portfolio Construction I

Mean–variance optimisation chooses the weights ww that maximise α⊤w−γ2w⊤Σw\alpha^\top w - \frac{\gamma}{2} w^\top\Sigma w subject to constraints, for an alpha forecast α\alpha and a covariance forecast Σ\Sigma over the same horizon (Markowitz, 1952). The risk-aversion parameter γ\gamma sets the trade between expected return and variance. The efficient frontier is the set of portfolios, over all γ\gamma, with the highest expected return for their risk.

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