Extensions of the SABR Model for Equity Options

作者: Irakli Khomasuridze

DOI:

关键词:

摘要: Modeling of stock price behavior (dynamic) is key concept in option theory, as based on chosen model one can further derive prices for options underlying assets. It more then obvious that the better reflects real asset dynamics, pricing will be. This thesis discusses equity using extension "classical" SABR model. The idea of this we assume volatility not only stochastic but also has non zero drift term. Drift term to be mean reverting, i.e. constantly pushed some function with predefined reverting rate, while diffusion term similar under "classical" SABR

参考文章(12)
Lars Stentoft, Assessing the Least Squares Monte-Carlo Approach to American Option Valuation Review of Derivatives Research. ,vol. 7, pp. 129- 168 ,(2004) , 10.1023/B:REDR.0000031176.24759.E6
Graeme West, Calibration of the SABR Model in Illiquid Markets Applied Mathematical Finance. ,vol. 12, pp. 371- 385 ,(2005) , 10.1080/13504860500148672
Francis A. Longstaff, Eduardo S. Schwartz, Valuing American Options by Simulation: A Simple Least-Squares Approach Review of Financial Studies. ,vol. 14, pp. 113- 147 ,(2001) , 10.1093/RFS/14.1.113
Frank Cuypers, Tools for Computational Finance Physics Today. ,vol. 56, pp. 56- 56 ,(2002) , 10.1063/1.1611357
Michel Vellekoop, Hans Nieuwenhuis, A tree-based method to price American options in the Heston model Journal of Computational Finance. ,vol. 13, pp. 1- 21 ,(2009) , 10.21314/JCF.2009.197
Patrick Hagan, Andrew Lesniewski, Diana Woodward, Probability Distribution in the SABR Model of Stochastic Volatility Springer, Cham. pp. 1- 35 ,(2015) , 10.1007/978-3-319-11605-1_1