IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v336y2024i1d10.1007_s10479-022-05059-7.html
   My bibliography  Save this article

Co-movements, option pricing and risk management: an application to WTI versus Brent spread options

Author

Listed:
  • Domenico De Giovanni

    (University of Calabria)

  • Arturo Leccadito

    (University of Calabria
    LFIN/LIDAM)

  • Debora Loccisano

    (Carleton University)

Abstract

Co-moments of asset returns play a major role in financial contagion during crises. We study the properties of a particular specification of the generalized bivariate normal distribution which allows for co-volatility and co-skewness. With this probability distribution, formulae for single-name and exchange options can be evaluated quickly since they are based on one-dimensional integrals. We provide a very precise approximation formula for spread option prices and derive the corresponding greeks. We perform a day-to-day re-estimation of the probability distribution on a dataset of WTI vs Brent spread options, showing the ability of this specification to capture the salient empirical features observed in the market. Finally, we show the impact of co-movements on portfolio risk management.

Suggested Citation

  • Domenico De Giovanni & Arturo Leccadito & Debora Loccisano, 2024. "Co-movements, option pricing and risk management: an application to WTI versus Brent spread options," Annals of Operations Research, Springer, vol. 336(1), pages 1039-1061, May.
    • Handle: RePEc:spr:annopr:v:336:y:2024:i:1:d:10.1007_s10479-022-05059-7
    DOI: 10.1007/s10479-022-05059-7
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10479-022-05059-7
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10479-022-05059-7?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Gerald Cheang & Carl Chiarella, 2011. "Exchange Options Under Jump-Diffusion Dynamics," Applied Mathematical Finance, Taylor & Francis Journals, vol. 18(3), pages 245-276.
    2. Schneider, Lorenz & Tavin, Bertrand, 2018. "From the Samuelson volatility effect to a Samuelson correlation effect: An analysis of crude oil calendar spread options," Journal of Banking & Finance, Elsevier, vol. 95(C), pages 185-202.
    3. Yacine Aït-Sahalia & Thomas Robert Hurd, 2015. "Portfolio Choice in Markets with Contagion," Journal of Financial Econometrics, Society for Financial Econometrics, vol. 14(1), pages 1-28.
    4. Petter Bjerksund & Gunnar Stensland, 2014. "Closed form spread option valuation," Quantitative Finance, Taylor & Francis Journals, vol. 14(10), pages 1785-1794, October.
    5. Melick, William R. & Thomas, Charles P., 1997. "Recovering an Asset's Implied PDF from Option Prices: An Application to Crude Oil during the Gulf Crisis," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 32(1), pages 91-115, March.
    6. Kristin J. Forbes & Roberto Rigobon, 2002. "No Contagion, Only Interdependence: Measuring Stock Market Comovements," Journal of Finance, American Finance Association, vol. 57(5), pages 2223-2261, October.
    7. Laura Ballotta & Efrem Bonfiglioli, 2016. "Multivariate asset models using Lévy processes and applications," The European Journal of Finance, Taylor & Francis Journals, vol. 22(13), pages 1320-1350, October.
    8. Aït-Sahalia, Yacine & Laeven, Roger J.A. & Pelizzon, Loriana, 2014. "Mutual excitation in Eurozone sovereign CDS," Journal of Econometrics, Elsevier, vol. 183(2), pages 151-167.
    9. Mardi Dungey & Renee Fry & Brenda Gonzalez-Hermosillo & Vance Martin, 2005. "Empirical modelling of contagion: a review of methodologies," Quantitative Finance, Taylor & Francis Journals, vol. 5(1), pages 9-24.
    10. Fry-McKibbin, Renée & Martin, Vance L. & Tang, Chrismin, 2014. "Financial contagion and asset pricing," Journal of Banking & Finance, Elsevier, vol. 47(C), pages 296-308.
    11. Renée Fry-McKibbin & Cody Yu-Ling Hsiao, 2018. "Extremal dependence tests for contagion," Econometric Reviews, Taylor & Francis Journals, vol. 37(6), pages 626-649, July.
    12. Caldana, Ruggero & Fusai, Gianluca, 2013. "A general closed-form spread option pricing formula," Journal of Banking & Finance, Elsevier, vol. 37(12), pages 4893-4906.
    13. Kokholm, Thomas, 2016. "Pricing and hedging of derivatives in contagious markets," Journal of Banking & Finance, Elsevier, vol. 66(C), pages 19-34.
    14. Fry, Renée & Martin, Vance L. & Tang, Chrismin, 2010. "A New Class of Tests of Contagion With Applications," Journal of Business & Economic Statistics, American Statistical Association, vol. 28(3), pages 423-437.
    15. Cody Yu-Ling Hsiao & James Morley, 2022. "Debt and financial market contagion," Empirical Economics, Springer, vol. 62(4), pages 1599-1648, April.
    16. Aanand Venkatramanan & Carol Alexander, 2011. "Closed Form Approximations for Spread Options," Applied Mathematical Finance, Taylor & Francis Journals, vol. 18(5), pages 447-472, January.
    17. Aït-Sahalia, Yacine & Cacho-Diaz, Julio & Laeven, Roger J.A., 2015. "Modeling financial contagion using mutually exciting jump processes," Journal of Financial Economics, Elsevier, vol. 117(3), pages 585-606.
    18. Margrabe, William, 1978. "The Value of an Option to Exchange One Asset for Another," Journal of Finance, American Finance Association, vol. 33(1), pages 177-186, March.
    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. Renée Fry-McKibbin & Cody Yu-Ling Hsiao & Vance L. Martin, 2018. "Measuring financial interdependence in asset returns with an application to euro zone equities," CAMA Working Papers 2018-05, Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University.
    2. Dungey, Mardi & Erdemlioglu, Deniz & Matei, Marius & Yang, Xiye, 2018. "Testing for mutually exciting jumps and financial flights in high frequency data," Journal of Econometrics, Elsevier, vol. 202(1), pages 18-44.
    3. Fry-McKibbin, Renée & Martin, Vance L. & Tang, Chrismin, 2014. "Financial contagion and asset pricing," Journal of Banking & Finance, Elsevier, vol. 47(C), pages 296-308.
    4. Chan Joshua C.C. & Fry-McKibbin Renée A. & Hsiao Cody Yu-Ling, 2019. "A regime switching skew-normal model of contagion," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 23(1), pages 1-24, February.
    5. Apergis, Nicholas & Christou, Christina & Kynigakis, Iason, 2019. "Contagion across US and European financial markets: Evidence from the CDS markets," Journal of International Money and Finance, Elsevier, vol. 96(C), pages 1-12.
    6. Hu, Dongdong & Sayit, Hasanjan & Yao, Jing & Zhong, Qifeng, 2024. "Closed-form approximations for basket option pricing under normal tempered stable Lévy model," The North American Journal of Economics and Finance, Elsevier, vol. 74(C).
    7. Renée Fry-McKibbin & Cody Yu-Ling Hsiao & Vance L. Martin, 2017. "Joint tests of contagion with applications to financial crises," CAMA Working Papers 2017-65, Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University.
    8. Hsiao, Cody Yu-Ling & Chiu, Yi-Bin, 2024. "Financial contagion and networks among the oil and BRICS stock markets during seven episodes of crisis events," Journal of International Money and Finance, Elsevier, vol. 144(C).
    9. Caporin, Massimiliano & Pelizzon, Loriana & Ravazzolo, Francesco & Rigobon, Roberto, 2018. "Measuring sovereign contagion in Europe," Journal of Financial Stability, Elsevier, vol. 34(C), pages 150-181.
    10. Mahadeo, Scott M.R. & Heinlein, Reinhold & Legrenzi, Gabriella D., 2019. "Energy contagion analysis: A new perspective with application to a small petroleum economy," Energy Economics, Elsevier, vol. 80(C), pages 890-903.
    11. Kilic, Erdem, 2017. "Contagion effects of U.S. Dollar and Chinese Yuan in forward and spot foreign exchange markets," Economic Modelling, Elsevier, vol. 62(C), pages 51-67.
    12. Edoardo Berton & Lorenzo Mercuri, 2024. "An efficient unified approach for spread option pricing in a copula market model," Annals of Operations Research, Springer, vol. 336(1), pages 307-329, May.
    13. Fry-McKibbin, Renée & Greenwood-Nimmo, Matthew & Hsiao, Cody Yu-Ling & Qi, Lin, 2022. "Higher-order comoment contagion among G20 equity markets during the COVID-19 pandemic," Finance Research Letters, Elsevier, vol. 45(C).
    14. Ge, S., 2020. "A Revisit to Sovereign Risk Contagion in Eurozone with Mutual Exciting Regime-Switching Model," Cambridge Working Papers in Economics 20114, Faculty of Economics, University of Cambridge.
    15. Matteo Gardini & Piergiacomo Sabino & Emanuela Sasso, 2020. "Correlating L\'evy processes with Self-Decomposability: Applications to Energy Markets," Papers 2004.04048, arXiv.org, revised Jul 2020.
    16. Maria Kasch & Massimiliano Caporin, 2013. "Volatility Threshold Dynamic Conditional Correlations: An International Analysis," Journal of Financial Econometrics, Oxford University Press, vol. 11(4), pages 706-742, September.
    17. Cody Yu-Ling Hsiao & James Morley, 2022. "Debt and financial market contagion," Empirical Economics, Springer, vol. 62(4), pages 1599-1648, April.
    18. Marina Yu. Malkina, 2024. "Financial contagion in the US, European and Chinese stock markets during global shocks," Journal of New Economy, Ural State University of Economics, vol. 25(4), pages 47-67, December.
    19. Caporin, Massimiliano & Gupta, Rangan & Ravazzolo, Francesco, 2021. "Contagion between real estate and financial markets: A Bayesian quantile-on-quantile approach," The North American Journal of Economics and Finance, Elsevier, vol. 55(C).
    20. Dungey, Mardi & Flavin, Thomas J. & Lagoa-Varela, Dolores, 2020. "Are banking shocks contagious? Evidence from the eurozone," Journal of Banking & Finance, Elsevier, vol. 112(C).

    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:spr:annopr:v:336:y:2024:i:1:d:10.1007_s10479-022-05059-7. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.