Arbitrage Free Approximations to Candidate Volatility Surface Quotations
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 b...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-04-01
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| Series: | Journal of Risk and Financial Management |
| Subjects: | |
| Online Access: | https://www.mdpi.com/1911-8074/12/2/69 |
| Summary: | 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 <inline-formula> <math display="inline"> <semantics> <mrow> <mi>S</mi> <mi>P</mi> <mi>Y</mi> </mrow> </semantics> </math> </inline-formula> as at 8 February 2018. |
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| ISSN: | 1911-8074 |