IDEAS home Printed from https://ideas.repec.org/a/wly/jfutmk/v45y2025i1p47-76.html
   My bibliography  Save this article

Pricing Vulnerable Options With Variance Gamma Systematic and Idiosyncratic Factors by Laplace Transform Inversion

Author

Listed:
  • Fenglong Guo

Abstract

This paper studies the pricing of vulnerable options with systematic and idiosyncratic factors incorporated. Variance gamma processes are employed to model price jumps caused by the arrivals of systematic and idiosyncratic relevant information. A parsimonious pricing measure is developed and Laplace transforms of option price and Greek letters are given. Numerical results are obtained by a two‐sided Euler inversion method in an efficient and accuracy way. It shows that in contrast to idiosyncratic factors, the effect of systematic factors on vulnerable options is strongly affected by the skewness and leptokurtosis features of systematic variance gamma processes.

Suggested Citation

  • Fenglong Guo, 2025. "Pricing Vulnerable Options With Variance Gamma Systematic and Idiosyncratic Factors by Laplace Transform Inversion," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 45(1), pages 47-76, January.
    • Handle: RePEc:wly:jfutmk:v:45:y:2025:i:1:p:47-76
    DOI: 10.1002/fut.22554
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/fut.22554
    Download Restriction: no
    File URL: https://libkey.io/10.1002/fut.22554?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Dilip B. Madan & Peter P. Carr & Eric C. Chang, 1998. "The Variance Gamma Process and Option Pricing," Review of Finance, European Finance Association, vol. 2(1), pages 79-105.
    2. Huizinga, Harry & Laeven, Luc, 2012. "Bank valuation and accounting discretion during a financial crisis," Journal of Financial Economics, Elsevier, vol. 106(3), pages 614-634.
    3. Black, Fischer & Cox, John C, 1976. "Valuing Corporate Securities: Some Effects of Bond Indenture Provisions," Journal of Finance, American Finance Association, vol. 31(2), pages 351-367, May.
    4. Bakshi, Gurdip & Cao, Charles & Chen, Zhiwu, 1997. "Empirical Performance of Alternative Option Pricing Models," Journal of Finance, American Finance Association, vol. 52(5), pages 2003-2049, December.
    5. Nick Webber & Claudia Ribeiro, 2003. "Valuing Path Dependent Options in the Variance-Gamma Model by Monte Carlo with a Gamma Bridge," Computing in Economics and Finance 2003 4, Society for Computational Economics.
    6. Daniël Linders & Ben Stassen, 2016. "The multivariate Variance Gamma model: basket option pricing and calibration," Quantitative Finance, Taylor & Francis Journals, vol. 16(4), pages 555-572, April.
    7. Rosenberg, Joshua V. & Schuermann, Til, 2006. "A general approach to integrated risk management with skewed, fat-tailed risks," Journal of Financial Economics, Elsevier, vol. 79(3), pages 569-614, March.
    8. Bessler, Wolfgang & Geoffrey Booth, G., 1994. "An interest rate risk management model for commercial banks," European Journal of Operational Research, Elsevier, vol. 74(2), pages 243-256, April.
    9. Robert A. Jarrow & Stuart M. Turnbull, 2008. "Pricing Derivatives on Financial Securities Subject to Credit Risk," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 17, pages 377-409, World Scientific Publishing Co. Pte. Ltd..
    10. Robert Elliott & Carlton-James Osakwe, 2006. "Option Pricing for Pure Jump Processes with Markov Switching Compensators," Finance and Stochastics, Springer, vol. 10(2), pages 250-275, April.
    11. Merton, Robert C, 1974. "On the Pricing of Corporate Debt: The Risk Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 29(2), pages 449-470, May.
    12. Acharya, Viral V. & Steffen, Sascha, 2015. "The “greatest” carry trade ever? Understanding eurozone bank risks," Journal of Financial Economics, Elsevier, vol. 115(2), pages 215-236.
    13. Xingchun Wang & Shiyu Song & Yongjin Wang, 2017. "The Valuation of Power Exchange Options with Counterparty Risk and Jump Risk," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 37(5), pages 499-521, May.
    14. Longstaff, Francis A & Schwartz, Eduardo S, 1995. "A Simple Approach to Valuing Risky Fixed and Floating Rate Debt," Journal of Finance, American Finance Association, vol. 50(3), pages 789-819, July.
    15. Madan, Dilip B & Seneta, Eugene, 1990. "The Variance Gamma (V.G.) Model for Share Market Returns," The Journal of Business, University of Chicago Press, vol. 63(4), pages 511-524, October.
    16. Elton A. Daal & Dilip B. Madan, 2005. "An Empirical Examination of the Variance-Gamma Model for Foreign Currency Options," The Journal of Business, University of Chicago Press, vol. 78(6), pages 2121-2152, November.
    17. Bjørn Eraker & Michael Johannes & Nicholas Polson, 2003. "The Impact of Jumps in Volatility and Returns," Journal of Finance, American Finance Association, vol. 58(3), pages 1269-1300, June.
    18. Mao‐Wei Hung & Yu‐Hong Liu, 2005. "Pricing vulnerable options in incomplete markets," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 25(2), pages 135-170, February.
    19. repec:bla:jfinan:v:59:y:2004:i:3:p:1367-1404 is not listed on IDEAS
    20. Merton, Robert C., 1976. "Option pricing when underlying stock returns are discontinuous," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 125-144.
    21. Gurdip Bakshi & Nikunj Kapadia & Dilip Madan, 2003. "Stock Return Characteristics, Skew Laws, and the Differential Pricing of Individual Equity Options," The Review of Financial Studies, Society for Financial Studies, vol. 16(1), pages 101-143.
    22. Bessler, Wolfgang & Kurmann, Philipp & Nohel, Tom, 2015. "Time-varying systematic and idiosyncratic risk exposures of US bank holding companies," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 35(C), pages 45-68.
    23. Robert J. Elliott & Carlton-James U. Osakwe, 2006. "Option Pricing for Pure Jump Processes with Markov Switching Compensators," Finance and Stochastics, Springer, vol. 10(2), pages 250-275, April.
    24. Engle, Robert F & Gonzalez-Rivera, Gloria, 1991. "Semiparametric ARCH Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 9(4), pages 345-359, October.
    25. Hull, John & White, Alan, 1995. "The impact of default risk on the prices of options and other derivative securities," Journal of Banking & Finance, Elsevier, vol. 19(2), pages 299-322, May.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Suresh M. Sundaresan, 2000. "Continuous‐Time Methods in Finance: A Review and an Assessment," Journal of Finance, American Finance Association, vol. 55(4), pages 1569-1622, August.
    2. Mark Broadie & Jerome B. Detemple, 2004. "ANNIVERSARY ARTICLE: Option Pricing: Valuation Models and Applications," Management Science, INFORMS, vol. 50(9), pages 1145-1177, September.
    3. Xu, Weidong & Xu, Weijun & Li, Hongyi & Xiao, Weilin, 2012. "A jump-diffusion approach to modelling vulnerable option pricing," Finance Research Letters, Elsevier, vol. 9(1), pages 48-56.
    4. Henri Bertholon & Alain Monfort & Fulvio Pegoraro, 2006. "Pricing and Inference with Mixtures of Conditionally Normal Processes," Working Papers 2006-28, Center for Research in Economics and Statistics.
    5. Lim, Terence & Lo, Andrew W. & Merton, Robert C. & Scholes, Myron S., 2006. "The Derivatives Sourcebook," Foundations and Trends(R) in Finance, now publishers, vol. 1(5–6), pages 365-572, April.
    6. Duffie, Darrell, 2005. "Credit risk modeling with affine processes," Journal of Banking & Finance, Elsevier, vol. 29(11), pages 2751-2802, November.
    7. Moraux, Franck, 2004. "Modeling the business risk of financially weakened firms: A new approach for corporate bond pricing," International Review of Financial Analysis, Elsevier, vol. 13(1), pages 47-61.
    8. Duffie, Darrell, 2003. "Intertemporal asset pricing theory," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, edition 1, volume 1, chapter 11, pages 639-742, Elsevier.
    9. Olivier Courtois & Xiaoshan Su, 2020. "Structural Pricing of CoCos and Deposit Insurance with Regime Switching and Jumps," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 27(4), pages 477-520, December.
    10. Lie-Jane Kao & Po-Cheng Wu & Tai-Yuan Chen, 2012. "Why Do Banks Default When Asset Quality Is High?," The International Journal of Business and Finance Research, The Institute for Business and Finance Research, vol. 6(1), pages 83-96.
    11. Jarrow, Robert A. & Turnbull, Stuart M., 2000. "The intersection of market and credit risk," Journal of Banking & Finance, Elsevier, vol. 24(1-2), pages 271-299, January.
    12. Zaevski, Tsvetelin S. & Kounchev, Ognyan & Savov, Mladen, 2019. "Two frameworks for pricing defaultable derivatives," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 309-319.
    13. Zhou, Chunsheng, 2001. "The term structure of credit spreads with jump risk," Journal of Banking & Finance, Elsevier, vol. 25(11), pages 2015-2040, November.
    14. Tsung-Kang Chen & Hsien-Hsing Liao & Chia-Wu Lu, 2011. "A flow-based corporate credit model," Review of Quantitative Finance and Accounting, Springer, vol. 36(4), pages 517-532, May.
    15. Jumbe, George, 2023. "Credit Risk Assessment Using Default Models: A Review," OSF Preprints ksb8n, Center for Open Science.
    16. Samuel Chege Maina, 2011. "Credit Risk Modelling in Markovian HJM Term Structure Class of Models with Stochastic Volatility," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 1-2011, January-A.
    17. Cosma, Antonio & Galluccio, Stefano & Pederzoli, Paola & Scaillet, Olivier, 2020. "Early Exercise Decision in American Options with Dividends, Stochastic Volatility, and Jumps," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 55(1), pages 331-356, February.
    18. Cosma, Antonio & Galluccio, Stefano & Scaillet, Olivier, 2012. "Valuing American options using fast recursive projections," Working Papers unige:41856, University of Geneva, Geneva School of Economics and Management.
    19. Li, Zelei & Wang, Xingchun, 2020. "Valuing spread options with counterparty risk and jump risk," The North American Journal of Economics and Finance, Elsevier, vol. 54(C).
    20. International Association of Deposit Insurers, 2011. "Evaluation of Deposit Insurance Fund Sufficiency on the Basis of Risk Analysis," IADI Research Papers 11-11, International Association of Deposit Insurers.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wly:jfutmk:v:45:y:2025:i:1:p:47-76. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: http://www.interscience.wiley.com/jpages/0270-7314/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.