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.
Complete list of metadatas

Cited literature [27 references]  Display  Hide  Download

https://hal-polytechnique.archives-ouvertes.fr/hal-01388399
Contributor : Ankush Agarwal <>
Submitted on : Friday, December 22, 2017 - 12:25:21 PM
Last modification on : Wednesday, March 27, 2019 - 4:08:31 PM

File

utilitymaxasymptotics_vsecondr...
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01388399, version 2

Citation

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

Share

Metrics

Record views

415

Files downloads

335