Portfolio Benchmarking under Drawdown Constraint and Stochastic Sharpe Ratio

Abstract : We consider an investor who seeks to maximize her expected utility derived from her terminal wealth relative to the maximum performance achieved over a fixed time horizon, and under a portfolio drawdown constraint, in a market with local stochastic volatility (LSV). In the absence of closed-form formulas for the value function and optimal portfolio strategy, we obtain approximations for these quantities through the use of a coefficient expansion technique and nonlinear transformations. We utilize regularity properties of the risk tolerance function to numerically compute the estimates for our approximations. In order to achieve similar value functions, we illustrate that, compared to a constant volatility model, the investor must deploy a quite different portfolio strategy which depends on the current level of volatility in the stochastic volatility model.
Liste complète des métadonnées

Littérature citée [27 références]  Voir  Masquer  Télécharger

https://hal-polytechnique.archives-ouvertes.fr/hal-01388399
Contributeur : Ankush Agarwal <>
Soumis le : vendredi 22 décembre 2017 - 12:25:21
Dernière modification le : jeudi 10 mai 2018 - 02:04:18

Fichier

utilitymaxasymptotics_vsecondr...
Fichiers produits par l'(les) auteur(s)

Identifiants

  • HAL Id : hal-01388399, version 2

Citation

Ankush Agarwal, Ronnie Sircar. Portfolio Benchmarking under Drawdown Constraint and Stochastic Sharpe Ratio. 2017. 〈hal-01388399v2〉

Partager

Métriques

Consultations de la notice

159

Téléchargements de fichiers

88