IDEAS home Printed from https://ideas.repec.org/a/cuf/journl/y2015v16i2yang.html
   My bibliography  Save this article

The Pricing of Two Newly Invented Swaps in a Jump-Diffusion Model

Author

Listed:
  • Zhaojun Yang

    (Department of Financial Engineering, Hunan University)

  • Chunhong Zhang

    (Department of Financial Engineering, Hunan University)

Abstract

This paper considers the pricing of contingent claims involved in two new swaps invented by Chinese entrepreneurs, the equity-for-guarantee swap (EGS) and the option-for-guarantee swap (OGS), when the cash flow of a firm that enters into the swaps follows a jump-diffusion process with jump sizes having a double exponential distribution. Using an equilibrium pricing approach, we provide explicit prices of all contingent claims and guarantee costs, where a Nash equilibrium of the game between the insurer and the borrower is derived. We present numerical analysis and find that OGS leads to an earlier default than EGS. As far as the borrower is concerned, EGS is better than OGS while keeping other parties the same. The advantage increases dramatically with the cash flow risk.

Suggested Citation

  • Zhaojun Yang & Chunhong Zhang, 2015. "The Pricing of Two Newly Invented Swaps in a Jump-Diffusion Model," Annals of Economics and Finance, Society for AEF, vol. 16(2), pages 371-392, November.
    • Handle: RePEc:cuf:journl:y:2015:v:16:i:2:yang
    as

    Download full text from publisher

    File URL: http://down.aefweb.net/AefArticles/aef160207Yang.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. William N. Goetzmann & Jonathan E. Ingersoll & Stephen A. Ross, 2003. "High‐Water Marks and Hedge Fund Management Contracts," Journal of Finance, American Finance Association, vol. 58(4), pages 1685-1718, August.
    2. S. G. Kou, 2002. "A Jump-Diffusion Model for Option Pricing," Management Science, INFORMS, vol. 48(8), pages 1086-1101, August.
    3. Goldstein, Robert & Ju, Nengjiu & Leland, Hayne, 2001. "An EBIT-Based Model of Dynamic Capital Structure," The Journal of Business, University of Chicago Press, vol. 74(4), pages 483-512, October.
    4. Yang, Zhaojun & Zhang, Chunhong, 2015. "Two new equity default swaps with idiosyncratic risk," International Review of Economics & Finance, Elsevier, vol. 37(C), pages 254-273.
    5. Leland, Hayne E, 1994. "Corporate Debt Value, Bond Covenants, and Optimal Capital Structure," Journal of Finance, American Finance Association, vol. 49(4), pages 1213-1252, September.
    6. Jarko Fidrmuc & Pavel Ciaian & d'Artis Kancs & Jan Pokrivcak, 2013. "Credit Constraints, Heterogeneous Firms and Loan Defaults," Annals of Economics and Finance, Society for AEF, vol. 14(1), pages 53-68, May.
    7. Merton, Robert C., 1976. "Option pricing when underlying stock returns are discontinuous," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 125-144.
    8. Jonathan E. Ingersoll, Jr., 2006. "The Subjective and Objective Evaluation of Incentive Stock Options," The Journal of Business, University of Chicago Press, vol. 79(2), pages 453-488, March.
    9. S. G. Kou & Hui Wang, 2004. "Option Pricing Under a Double Exponential Jump Diffusion Model," Management Science, INFORMS, vol. 50(9), pages 1178-1192, September.
    10. Yang, Zhaojun & Zhang, Hai, 2013. "Optimal capital structure with an equity-for-guarantee swap," Economics Letters, Elsevier, vol. 118(2), pages 355-359.
    11. L C G Rogers & Pawel Zaczkowski, 2013. "Monte Carlo approximation to optimal investment," Papers 1305.3433, arXiv.org.
    12. Artur Sepp, 2004. "Analytical Pricing Of Double-Barrier Options Under A Double-Exponential Jump Diffusion Process: Applications Of Laplace Transform," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 7(02), pages 151-175.
    13. Wang, Huamao & Yang, Zhaojun & Zhang, Hai, 2015. "Entrepreneurial finance with equity-for-guarantee swap and idiosyncratic risk," European Journal of Operational Research, Elsevier, vol. 241(3), pages 863-871.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Linjia Dong & Zhaojun Yang, 2022. "An Algorithm for the Pricing and Timing of the Option to make a Two-Stage Investment with Credit Guarantees," Computational Economics, Springer;Society for Computational Economics, vol. 60(3), pages 1175-1196, October.
    2. Dong, Linjia & Yang, Zhaojun, 2023. "Investment and financing analysis for a venture capital alternative," Economic Modelling, Elsevier, vol. 126(C).
    3. Pengfei Luo & Zhaojun Yang, 2021. "Investment and financing for cash flow discounted with group diversity," International Review of Finance, International Review of Finance Ltd., vol. 21(3), pages 769-785, September.
    4. Xia, Xin & Gan, Liu, 2020. "SME financing with new credit guarantee contracts over the business cycle," International Review of Economics & Finance, Elsevier, vol. 69(C), pages 515-538.
    5. Zhaojun Yang, 2020. "Investment and asset securitization with an option‐for‐guarantee swap," European Financial Management, European Financial Management Association, vol. 26(4), pages 1006-1030, September.
    6. Tan, Yingxian & Yang, Zhaojun, 2017. "Growth option, contingent capital and agency conflicts," International Review of Economics & Finance, Elsevier, vol. 51(C), pages 354-369.
    7. Liu Gan & Chong Wang, 2021. "Option‐for‐guarantee swaps and flexible investment opportunities," International Review of Finance, International Review of Finance Ltd., vol. 21(4), pages 1286-1301, December.
    8. Luo, Pengfei & Wang, Huamao & Yang, Zhaojun, 2016. "Investment and financing for SMEs with a partial guarantee and jump risk," European Journal of Operational Research, Elsevier, vol. 249(3), pages 1161-1168.
    9. Xiaolin Wang & Zhaojun Yang & Pingping Zeng, 2023. "Pricing contingent convertibles with idiosyncratic risk," International Journal of Economic Theory, The International Society for Economic Theory, vol. 19(3), pages 660-693, September.
    10. Yanping Cai & Zhaojun Yang & Zhiming Zhao, 2019. "Contingent capital with repeated interconversion between debt‐ and equity‐like instruments," European Financial Management, European Financial Management Association, vol. 25(2), pages 358-379, March.

    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. Luo, Pengfei & Wang, Huamao & Yang, Zhaojun, 2016. "Investment and financing for SMEs with a partial guarantee and jump risk," European Journal of Operational Research, Elsevier, vol. 249(3), pages 1161-1168.
    2. Linjia Dong & Zhaojun Yang, 2022. "An Algorithm for the Pricing and Timing of the Option to make a Two-Stage Investment with Credit Guarantees," Computational Economics, Springer;Society for Computational Economics, vol. 60(3), pages 1175-1196, October.
    3. Xia, Xin & Gan, Liu, 2021. "Financing with equity-for-guarantee swaps and dynamic investment under incomplete markets," Economic Modelling, Elsevier, vol. 98(C), pages 349-360.
    4. Luo, Pengfei & Song, Dandan & Chen, Biao, 2020. "Investment and financing for SMEs with bank-tax interaction and public-private partnerships," International Review of Economics & Finance, Elsevier, vol. 65(C), pages 163-172.
    5. Dandan Song & Zhaojun Yang, 2016. "Contingent Capital, Real Options, and Agency Costs," International Review of Finance, International Review of Finance Ltd., vol. 16(1), pages 3-40, March.
    6. Nan Chen & S. G. Kou, 2009. "Credit Spreads, Optimal Capital Structure, And Implied Volatility With Endogenous Default And Jump Risk," Mathematical Finance, Wiley Blackwell, vol. 19(3), pages 343-378, July.
    7. Xia, Xin & Gan, Liu, 2020. "SME financing with new credit guarantee contracts over the business cycle," International Review of Economics & Finance, Elsevier, vol. 69(C), pages 515-538.
    8. Jean-David Fermanian, 2020. "On the Dependence between Default Risk and Recovery Rates in Structural Models," Annals of Economics and Statistics, GENES, issue 140, pages 45-82.
    9. Buckley, Winston & Long, Hongwei & Marshall, Mario, 2016. "Numerical approximations of optimal portfolios in mispriced asymmetric Lévy markets," European Journal of Operational Research, Elsevier, vol. 252(2), pages 676-686.
    10. Markus Leippold & Nikola Vasiljević, 2020. "Option-Implied Intrahorizon Value at Risk," Management Science, INFORMS, vol. 66(1), pages 397-414, January.
    11. Svetlana Boyarchenko & Sergei Levendorskiĭ, 2020. "Static and semistatic hedging as contrarian or conformist bets," Mathematical Finance, Wiley Blackwell, vol. 30(3), pages 921-960, July.
    12. Xiang, Hua & Yang, Zhaojun, 2015. "Investment timing and capital structure with loan guarantees," Finance Research Letters, Elsevier, vol. 13(C), pages 179-187.
    13. Yang, Zhaojun & Zhang, Hai, 2013. "Optimal capital structure with an equity-for-guarantee swap," Economics Letters, Elsevier, vol. 118(2), pages 355-359.
    14. Bertrand, Philippe & Prigent, Jean-luc, 2011. "Omega performance measure and portfolio insurance," Journal of Banking & Finance, Elsevier, vol. 35(7), pages 1811-1823, July.
    15. Gan, Liu & Luo, Pengfei & Yang, Zhaojun, 2016. "Real option, debt maturity and equity default swaps under negotiation," Finance Research Letters, Elsevier, vol. 18(C), pages 278-284.
    16. Song, Pengcheng & Zhang, Hai & Zhao, Qin, 2021. "Innovative Credit Guarantee Schemes with equity-for-guarantee swaps," International Review of Financial Analysis, Elsevier, vol. 77(C).
    17. Zhaojun Yang, 2020. "Investment and asset securitization with an option‐for‐guarantee swap," European Financial Management, European Financial Management Association, vol. 26(4), pages 1006-1030, September.
    18. Yang, Zhaojun & Zhao, Zhiming, 2015. "Valuation and analysis of contingent convertible securities with jump risk," International Review of Financial Analysis, Elsevier, vol. 41(C), pages 124-135.
    19. Daniel Hackmann, 2017. "Analytic techniques for option pricing under a hyperexponential L\'{e}vy model," Papers 1705.05934, arXiv.org.
    20. Chendi Ni & Yuying Li & Peter A. Forsyth, 2023. "Neural Network Approach to Portfolio Optimization with Leverage Constraints:a Case Study on High Inflation Investment," Papers 2304.05297, arXiv.org, revised May 2023.

    More about this item

    Keywords

    Option-for-guarantee swap; Equity-for-guarantee swap; Guarantee costs; Nash equilibrium;
    All these keywords.

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G23 - Financial Economics - - Financial Institutions and Services - - - Non-bank Financial Institutions; Financial Instruments; Institutional Investors

    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:cuf:journl:y:2015:v:16:i:2:yang. 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: Qiang Gao (email available below). General contact details of provider: https://edirc.repec.org/data/emcufcn.html .

    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.