When do jumps matter for portfolio optimization?

Arbeitspapier

We consider the continuous-time portfolio optimization problem of an investor with constant relative risk aversion who maximizes expected utility of terminal wealth. The risky asset follows a jump-diffusion model with a diffusion state variable. We propose an approximation method that replaces the jumps by a diffusion and solve the resulting problem analytically. Furthermore, we provide explicit bounds on the true optimal strategy and the relative wealth equivalent loss that do not rely on results from the true model. We apply our method to a calibrated affine model and find that relative wealth equivalent losses are below 1.16% if the jump size is stochastic and below 1% if the jump size is constant and ... 5. We perform robustness checks for various levels of risk-aversion, expected jump size, and jump intensity.

Object Details

• Language: Englisch

References and Relationships

• Bibliographic citation: Series: SAFE Working Paper ; No. 16

Classification and Topics

• Classification: Wirtschaft ; Portfolio Choice; Investment Decisions ; Computational Techniques; Simulation Modeling
• Subject: Optimal investment ; jumps ; stochastic volatility ; welfare loss

Contributors, Places and Time

• Event: Geistige Schöpfung
• (who): Ascheberg, Marius ; Branger, Nicole ; Kraft, Holger
• Event: Veröffentlichung
• (who): Goethe University Frankfurt, SAFE - Sustainable Architecture for Finance in Europe
• (where): Frankfurt a. M.
• (when): 2013

Further information

• DOI: doi:10.2139/ssrn.2259630
• Handle: http://hdl.handle.net/10419/88724
• URN: urn:nbn:de:hebis:30:3-305690
• Last update: 10.03.2025, 11:45 AM CET