Arbitrage Free Approximations to Candidate Volatility Surface Quotations
| dc.contributor.author | Madan, Dilip B. | |
| dc.contributor.author | Schoutens, Wim | |
| dc.date.accessioned | 2023-11-16T18:17:56Z | |
| dc.date.available | 2023-11-16T18:17:56Z | |
| dc.date.issued | 2019-04-21 | |
| dc.description.abstract | It is argued that the growth in the breadth of option strikes traded after the financial crisis of 2008 poses difficulties for the use of Fourier inversion methodologies in volatility surface calibration. Continuous time Markov chain approximations are proposed as an alternative. They are shown to be adequate, competitive, and stable though slow for the moment. Further research can be devoted to speed enhancements. The Markov chain approximation is general and not constrained to processes with independent increments. Calibrations are illustrated for data on 2695 options across 28 maturities for 𝑆𝑃𝑌 as at 8 February 2018. | |
| dc.description.uri | https://doi.org/10.3390/jrfm12020069 | |
| dc.identifier | https://doi.org/10.13016/dspace/vzqw-avtn | |
| dc.identifier.citation | Madan, D.B.; Schoutens, W. Arbitrage Free Approximations to Candidate Volatility Surface Quotations. J. Risk Financial Manag. 2019, 12, 69. | |
| dc.identifier.uri | http://hdl.handle.net/1903/31425 | |
| dc.language.iso | en_US | |
| dc.publisher | MDPI | |
| dc.relation.isAvailableAt | Robert H. Smith School of Business | en_us |
| dc.relation.isAvailableAt | Logistics, Business & Public Policy | en_us |
| dc.relation.isAvailableAt | Digital Repository at the University of Maryland | en_us |
| dc.relation.isAvailableAt | University of Maryland (College Park, MD) | en_us |
| dc.subject | bilateral gamma | |
| dc.subject | fast Fourier transform | |
| dc.subject | sato process | |
| dc.subject | matrix exponentials | |
| dc.title | Arbitrage Free Approximations to Candidate Volatility Surface Quotations | |
| dc.type | Article | |
| local.equitableAccessSubmission | No |