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Efficient hedging in Bates model using high-order compact finite differences
conference contribution
posted on 2023-06-09, 12:55 authored by Bertram Duering, Alexander PitkinWe 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 ApplicationsISSN
2194-1009Publisher
Springer VerlagPublisher URL
Volume
259Page range
489-498Event name
The 5th AMMCS International ConferenceEvent location
Waterloo, Ontario, CanadaEvent type
conferenceEvent date
August 18-23, 2019Series
Interdisciplinary AMMCS Conference SeriesDepartment affiliated with
- Mathematics Publications
Research groups affiliated with
- Numerical Analysis and Scientific Computing Research Group Publications
Full text available
- Yes
Peer reviewed?
- Yes