Calibration of a path-dependent volatility model: Empirical tests

被引:3
作者
Foschi, Paolo [1 ]
Pascucci, Andrea [2 ]
机构
[1] Univ Bologna, Fac Econ, I-47100 Forli, Italy
[2] Univ Bologna, Dept Math, I-40126 Bologna, Italy
关键词
OPTIMAL STOPPING PROBLEMS; STOCHASTIC VOLATILITY; DIFFUSION; EQUATIONS; TIME;
D O I
10.1016/j.csda.2008.10.042
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
The Hobson and Rogers model for option pricing is considered. This stochastic volatility model preserves the completeness of the market and can potentially reproduce the observed smile and term structure patterns of implied volatility. A calibration procedure based on ad-hoc numerical schemes for hypoelliptic PDEs is proposed and used to quantitatively investigate the pricing performance of the model. Numerical results based on S&P500 option prices are discussed. (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码:2219 / 2235
页数:17
相关论文
共 36 条
  • [21] HAHN M, 2007, OP RES P SPRING BERL, P227
  • [22] HALLULLI VB, 2005, SERIES ADV MATH APPL, V69
  • [23] Complete models with stochastic volatility
    Hobson, DG
    Rogers, LCG
    [J]. MATHEMATICAL FINANCE, 1998, 8 (01) : 27 - 48
  • [24] Hubalek F., 2005, FLEXIBLE COMPLETE MO
  • [25] LANCONELLI E, 2002, INT MATH SER N Y, P243
  • [26] Sequential calibration of options
    Lindstroem, Erik
    Strojby, Jonas
    Broden, Mats
    Wiktorsson, Magnus
    Holst, Jan
    [J]. COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2008, 52 (06) : 2877 - 2891
  • [27] ON THE APPROXIMATION OF OPTIMAL STOPPING PROBLEMS WITH APPLICATION TO FINANCIAL MATHEMATICS
    Marcozzi, Michael D.
    [J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2001, 22 (05) : 1865 - 1884
  • [28] Free boundary and optimal stopping problems for American Asian options
    Pascucci, Andrea
    [J]. FINANCE AND STOCHASTICS, 2008, 12 (01) : 21 - 41
  • [29] PLATANIA A, 2003, PUTTING HOBSON ROGER
  • [30] SEKINE J, 2008, MARGINAL DISTRIBUTIO