QUADRATIC HEDGING FOR THE BATES MODEL

被引:3
作者
Hubalek, Friedrich [1 ]
Sgarra, Carlo [2 ]
机构
[1] Univ Aarhus, Dept Math Sci, Aarhus, Denmark
[2] Politecn Milan, Dept Math, Milan, Italy
关键词
Quadratic hedging; Bates model; stochastic volatility models with jumps; financial modeling with jumps; Levy processes; incomplete markets;
D O I
10.1142/S0219024907004433
中图分类号
F8 [财政、金融];
学科分类号
0202 ;
摘要
In the present paper we give some preliminary results for option pricing and hedging in the framework of the Bates model based on quadratic risk minimization. We provide an explicit expression of the mean-variance hedging strategy in the martingale case and study the Minimal Martingale measure in the general case.
引用
收藏
页码:873 / 885
页数:13
相关论文
共 50 条
  • [21] The law of one price in quadratic hedging and mean-variance portfolio selection
    Cerny, Ales
    Czichowsky, Christoph
    FINANCE AND STOCHASTICS, 2025, : 847 - 884
  • [22] Numeraire-Invariant Quadratic Hedging and Mean-Variance Portfolio Allocation br
    Cerny, Ales
    Czichowsky, Christoph
    Kallsen, Jan
    MATHEMATICS OF OPERATIONS RESEARCH, 2024, 49 (02) : 752 - 781
  • [23] Pricing and hedging in incomplete markets with model uncertainty
    Balter, Anne G.
    Pelsser, Antoon
    EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2020, 282 (03) : 911 - 925
  • [24] A risk reserve model for hedging in incomplete markets
    Minina, Vera
    Vellekoop, Michel
    JOURNAL OF ECONOMIC DYNAMICS & CONTROL, 2010, 34 (07) : 1233 - 1247
  • [25] Iterative Methods for Pricing American Options under the Bates Model
    Salmi, Santtu
    Toivanen, Jari
    von Sydow, Lina
    2013 INTERNATIONAL CONFERENCE ON COMPUTATIONAL SCIENCE, 2013, 18 : 1136 - 1144
  • [26] ADI schemes for valuing European options under the Bates model
    in 't Hout, Karel J.
    Toivanen, Jan
    APPLIED NUMERICAL MATHEMATICS, 2018, 130 : 143 - 156
  • [27] Computing credit valuation adjustment solving coupled PIDEs in the Bates model
    Ludovic Goudenège
    Andrea Molent
    Antonino Zanette
    Computational Management Science, 2020, 17 : 163 - 178
  • [28] Computing credit valuation adjustment solving coupled PIDEs in the Bates model
    Goudenege, Ludovic
    Molent, Andrea
    Zanette, Antonino
    COMPUTATIONAL MANAGEMENT SCIENCE, 2020, 17 (02) : 163 - 178
  • [29] CROSS HEDGING WITHIN A LOG MEAN REVERTING MODEL
    Njoh, Samuel
    INTERNATIONAL JOURNAL OF THEORETICAL AND APPLIED FINANCE, 2007, 10 (05) : 887 - 914
  • [30] A fast numerical method to price American options under the Bates model
    Ballestra, Luca Vincenzo
    Cecere, Liliana
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2016, 72 (05) : 1305 - 1319