Optimal portfolios when volatility can jump |
| |
Authors: | Nicole Branger Christian Schlag Eva Schneider |
| |
Affiliation: | 1. Finance Center Münster, University of Münster, Universitätsstr. 14–16, D-48143 Münster, Germany;2. Finance Department, Goethe University, Mertonstr. 17, D-60054 Frankfurt am Main, Germany |
| |
Abstract: | We consider an asset allocation problem in a continuous-time model with stochastic volatility and jumps in both the asset price and its volatility. First, we derive the optimal portfolio for an investor with constant relative risk aversion. The demand for jump risk includes a hedging component, which is not present in models without volatility jumps. We further show that the introduction of derivative contracts can have substantial economic value. We also analyze the distribution of terminal wealth for an investor who uses the wrong model, either by ignoring volatility jumps or by falsely including such jumps, or who is subject to estimation risk. Whenever a model different from the true one is used, the terminal wealth distribution exhibits fatter tails and (in some cases) significant default risk. |
| |
Keywords: | G11 |
本文献已被 ScienceDirect 等数据库收录! |
|