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Efficient hedging in Bates model using high-order compact finite differences

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conference contribution
posted on 2023-06-09, 12:55 authored by Bertram Duering, Alexander Pitkin
We evaluate the hedging performance of the scheme developed in B. Düring, A. Pitkin, ”High-order compact finite difference scheme for option pricing in stochastic volatility jump models”, 2017. We compare the scheme’s hedging performance to standard finite difference methods in different examples. We observe that the new scheme achieves fourth-order convergence, outperforming a standard, second-order central finite difference approximation in all our experiments.

Funding

EPSRC Doctoral Training Partnership 2016-17; G1950; EPSRC-ENGINEERING & PHYSICAL SCIENCES RESEARCH COUNCIL; EP/N509784/1

Novel discretisations of higher-order nonlinear PDE; G1603; LEVERHULME TRUST; RPG-2015-069

History

Publication status

  • Published

File Version

  • Accepted version

Journal

Recent Advances in Mathematical and Statistical Methods for Scientific and Engineering Applications

ISSN

2194-1009

Publisher

Springer Verlag

Volume

259

Page range

489-498

Event name

The 5th AMMCS International Conference

Event location

Waterloo, Ontario, Canada

Event type

conference

Event date

August 18-23, 2019

Series

Interdisciplinary AMMCS Conference Series

Department affiliated with

  • Mathematics Publications

Research groups affiliated with

  • Numerical Analysis and Scientific Computing Research Group Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Editors

Roman Makarov

Legacy Posted Date

2018-04-30

First Open Access (FOA) Date

2019-11-04

First Compliant Deposit (FCD) Date

2018-04-30

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