The double-mean-reverting model by Gatheral is motivated by empirical dynamics of the variance of the stock price. No closed-form solution for European option exists in the above model. We study the behaviour of the implied volatility with respect to the logarithmic strike price and maturity near expiry and at-the-money. Using the method by Pagliarani and Pascucci, we calculate explicitly the first few terms of the asymptotic expansion of the implied volatility within a parabolic region.
| Identifer | oai:union.ndltd.org:UPSALLA1/oai:DiVA.org:mdh-43684 |
| Date | January 2019 |
| Creators | Tewolde, Finnan, Zhang, Jiahui |
| Publisher | Mälardalens högskola, Akademin för utbildning, kultur och kommunikation, Mälardalens högskola, Akademin för utbildning, kultur och kommunikation, 1994 |
| Source Sets | DiVA Archive at Upsalla University |
| Language | English |
| Detected Language | English |
| Type | Student thesis, info:eu-repo/semantics/bachelorThesis, text |
| Format | application/pdf |
| Rights | info:eu-repo/semantics/openAccess |
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