Bergische Universität Wuppertal
Fachbereich Mathematik und Naturwissenschaften
Angewandte Mathematik - Numerische Analysis

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Numerical Pricing of Vulnerable Options in the Constant Elasticity of Variance Model


Masterarbeit Wirtschaftsmathematik


Master's Thesis in Financial Mathematics, Halmstad University, Sweden



Supervision


Description

In this thesis we consider the work of Company, Jódar, Pintos and ...

Keywords

CEV process, vulnerable option,

References:

  1. P.P. Boyle, Y. Tian, Pricing Lookback and Barrier Options under the CEV Process, J. Financial Quant. Anal. 34 (1999), 241-264.
  2. L.-F.Chang, M.-W. Hung, Valuation of vulnerable American options with correlated credit risk, Rev. Deriv. Res. 9 (2006), 137-165.
  3. R. Company, L. Jódar, J.-R. Pintos, A numerical method for European Option Pricing with transaction costs nonlinear equation, Math. Comput. Model. 50 (2009), 910-920.
  4. Y.W. Hoi, J. Zhao, Valuing American options under the CEV model by Laplace-Carson transforms, Operations Research Lett. 38 (2010), 474-481.
  5. Y.L. Hsua, T.I. Lin, C.F. Lee, Constant elasticity of variance (CEV) option pricing model: Integration and detailed derivation, Math. Comput. Simul. 79 (2008), 60-71.
  6. Shu-Ing Liu, Yu-Chung Liu, Pricing Vulnerable Options under Stochastic Asset and Liability, Progr. Appl. Math. 1 (2011), 12-29.
  7. J. Kanga, H.-S. Kim, Pricing counterparty default risks: Applications to FRNs and vulnerable options, Int. Rev. Fin Analysis 14 (2005), 376-392.
  8. P. Klein, M. Inglis, Pricing vulnerable European options when the option's payoff can increase the risk of financial distress, J. Banking Finance 25 (2001), 993-1012.
  9. C.F. Lo, P.H. Yuen, C.H. Hui, Constant Elasticity of Variance Option Pricing Model With Time-Dependent Parameters, Int. J. Theoret. Appl. Fin. 3 (2000), 661-674.
  10. M. Costabile, On pricing lookback options under the CEV process, Decisions Econom. Finance 29 (2006), 139-153.
  11. H.P. Sang, H.K. Jeong, Asymptotic option pricing under the CEV diffusion, J. Math. Anal. Appl. 375 (2011), 490-501.


University of Wuppertal
Faculty of Mathematics and Natural Sciences
Department of Mathematics
Applied Mathematics & Numerical Analysis Group

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