IDEAS home Printed from https://ideas.repec.org/a/eee/insuma/v45y2009i1p65-73.html
   My bibliography  Save this article

The valuation of contingent capital with catastrophe risks

Author

Listed:
  • Lin, Shih-Kuei
  • Chang, Chia-Chien
  • Powers, Michael R.

Abstract

The Intergovernmental Panel on Climate Change Fourth Assessment Report (2007) indicates that unanticipated catastrophic events could increase with time because of global warming. Therefore, it seems inadequate to assume that arrival process of catastrophic events follows a pure Poisson process adopted by most previous studies (e.g. [Louberge, H., Kellezi, E., Gilli, M., 1999. Using catastrophe-linked securities to diversify insurance risk: A financial analysis of lCAT bonds. J. Risk Insurance 22, 125-146; Lee, J.-P., Yu, M.-T., 2002. Pricing default-risky CAT bonds with moral hazard and basis risk. J. Risk Insurance 69, 25-44; Cox, H., Fairchild, J., Pedersen, H., 2004. Valuation of structured risk management products. Insurance Math. Econom. 34, 259-272; Jaimungal, S., Wang, T., 2006. Catastrophe options with stochastic interest rates and compound Poisson losses. Insurance Math. Econom., 38, 469-483]. In order to overcome this shortcoming, this paper proposes a doubly stochastic Poisson process to model the arrival process for catastrophic events. Furthermore, we generalize the assumption in the last reference mentioned above to define the general loss function presenting that different specific loss would have different impacts on the drop in stock price. Based on modeling the arrival rates for catastrophe risks, the pricing formulas of contingent capital are derived by the Merton measure. Results of empirical experiments of contingent capital prices as well as sensitivity analyses are presented.

Suggested Citation

  • Lin, Shih-Kuei & Chang, Chia-Chien & Powers, Michael R., 2009. "The valuation of contingent capital with catastrophe risks," Insurance: Mathematics and Economics, Elsevier, vol. 45(1), pages 65-73, August.
    • Handle: RePEc:eee:insuma:v:45:y:2009:i:1:p:65-73
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167-6687(09)00037-7
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    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. repec:fth:geneec:99.01 is not listed on IDEAS
    2. Kenneth A. Froot, 1999. "The Financing of Catastrophe Risk," NBER Books, National Bureau of Economic Research, Inc, number froo99-1, March.
    3. Jaimungal, Sebastian & Wang, Tao, 2006. "Catastrophe options with stochastic interest rates and compound Poisson losses," Insurance: Mathematics and Economics, Elsevier, vol. 38(3), pages 469-483, June.
    4. Myers, Stewart C. & Majluf, Nicholas S., 1984. "Corporate financing and investment decisions when firms have information that investors do not have," Journal of Financial Economics, Elsevier, vol. 13(2), pages 187-221, June.
    5. Burnecki, Krzysztof & Kukla, Grzegorz & Weron, Rafał, 2000. "Property insurance loss distributions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 287(1), pages 269-278.
    6. Myers, Stewart C., 1984. "Capital structure puzzle," Working papers 1548-84., Massachusetts Institute of Technology (MIT), Sloan School of Management.
    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. Myers, Stewart C, 1984. "The Capital Structure Puzzle," Journal of Finance, American Finance Association, vol. 39(3), pages 575-592, July.
    9. Stewart C. Myers, 1984. "Capital Structure Puzzle," NBER Working Papers 1393, National Bureau of Economic Research, Inc.
    10. Stewart C. Myers & Nicholas S. Majluf, 1984. "Corporate Financing and Investment Decisions When Firms Have InformationThat Investors Do Not Have," NBER Working Papers 1396, National Bureau of Economic Research, Inc.
    11. Tomas Björk & Yuri Kabanov & Wolfgang Runggaldier, 1997. "Bond Market Structure in the Presence of Marked Point Processes," Mathematical Finance, Wiley Blackwell, vol. 7(2), pages 211-239, April.
    12. Cox, Samuel H. & Fairchild, Joseph R. & Pedersen, Hal W., 2004. "Valuation of structured risk management products," Insurance: Mathematics and Economics, Elsevier, vol. 34(2), pages 259-272, April.
    13. David Cummins & Christopher Lewis & Richard Phillips, 1999. "Pricing Excess-of-Loss Reinsurance Contracts against Cat as trophic Loss," NBER Chapters, in: The Financing of Catastrophe Risk, pages 93-148, National Bureau of Economic Research, Inc.
    14. Leland, Hayne E & Pyle, David H, 1977. "Informational Asymmetries, Financial Structure, and Financial Intermediation," Journal of Finance, American Finance Association, vol. 32(2), pages 371-387, May.
    15. Hull, John C & White, Alan D, 1987. "The Pricing of Options on Assets with Stochastic Volatilities," Journal of Finance, American Finance Association, vol. 42(2), pages 281-300, June.
    16. Paul Glasserman & S. G. Kou, 2003. "The Term Structure of Simple Forward Rates with Jump Risk," Mathematical Finance, Wiley Blackwell, vol. 13(3), pages 383-410, July.
    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. Yang‐Che Wu & Ming Jing Yang, 2018. "The effectiveness of asset, liability and equity hedging against catastrophe risk: the cases of winter storms in North America and Europe," European Financial Management, European Financial Management Association, vol. 24(5), pages 893-918, November.
    2. Gunther Leobacher & Philip Ngare, 2014. "Utility indifference pricing of derivatives written on industrial loss indexes," Papers 1404.0879, arXiv.org.
    3. Wu, Yang-Che, 2015. "Reexamining the feasibility of diversification and transfer instruments on smoothing catastrophe risk," Insurance: Mathematics and Economics, Elsevier, vol. 64(C), pages 54-66.
    4. Truong, Chi & Trück, Stefan & Mathew, Supriya, 2018. "Managing risks from climate impacted hazards – The value of investment flexibility under uncertainty," European Journal of Operational Research, Elsevier, vol. 269(1), pages 132-145.
    5. Eckhard Platen & David Taylor, 2016. "Loading Pricing of Catastrophe Bonds and Other Long-Dated, Insurance-Type Contracts," Papers 1610.09875, arXiv.org.
    6. Kim, Hwa-Sung & Kim, Bara & Kim, Jerim, 2014. "Pricing perpetual American CatEPut options when stock prices are correlated with catastrophe losses," Economic Modelling, Elsevier, vol. 41(C), pages 15-22.
    7. Yu, Jun, 2015. "Catastrophe options with double compound Poisson processes," Economic Modelling, Elsevier, vol. 50(C), pages 291-297.
    8. Chen, Jun-Home & Lian, Yu-Min & Liao, Szu-Lang, 2022. "Pricing catastrophe equity puts with counterparty risks under Markov-modulated, default-intensity processes," The North American Journal of Economics and Finance, Elsevier, vol. 61(C).
    9. Andreas Eichler & Gunther Leobacher & Michaela Szolgyenyi, 2016. "Utility Indifference Pricing of Insurance Catastrophe Derivatives," Papers 1607.01110, arXiv.org, revised May 2017.
    10. Xingchun Wang, 2016. "The Pricing of Catastrophe Equity Put Options with Default Risk," International Review of Finance, International Review of Finance Ltd., vol. 16(2), pages 181-201, June.
    11. Têtu Alexandre & Lai Van Son & Soumaré Issouf & Gendron Michel, 2015. "Hedging Flood Losses Using Cat Bonds," Asia-Pacific Journal of Risk and Insurance, De Gruyter, vol. 9(2), pages 149-184, July.
    12. Wang, Xingchun, 2016. "Catastrophe equity put options with target variance," Insurance: Mathematics and Economics, Elsevier, vol. 71(C), pages 79-86.
    13. Lo, Chien-Ling & Lee, Jin-Ping & Yu, Min-Teh, 2013. "Valuation of insurers’ contingent capital with counterparty risk and price endogeneity," Journal of Banking & Finance, Elsevier, vol. 37(12), pages 5025-5035.
    14. Wang, Xingchun, 2020. "Catastrophe equity put options with floating strike prices," The North American Journal of Economics and Finance, Elsevier, vol. 54(C).
    15. Wang, Xingchun, 2019. "Valuation of new-designed contracts for catastrophe risk management," The North American Journal of Economics and Finance, Elsevier, vol. 50(C).

    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. Kim, Sang-Joon & Bae, John & Oh, Hannah, 2019. "Financing strategically: The moderation effect of marketing activities on the bifurcated relationship between debt level and firm valuation of small and medium enterprises," The North American Journal of Economics and Finance, Elsevier, vol. 48(C), pages 663-681.
    2. Bae, John & Kim, Sang-Joon & Oh, Hannah, 2017. "Taming polysemous signals: The role of marketing intensity on the relationship between financial leverage and firm performance," Review of Financial Economics, Elsevier, vol. 33(C), pages 29-40.
    3. Christoph Börner & Dietmar Grichnik & Frank Reize, 2010. "Finanzierungsentscheidungen mittelständischer Unternehmer — Einflussfaktoren der Fremdfinanzierung deutscher KMU," Schmalenbach Journal of Business Research, Springer, vol. 62(2), pages 227-275, March.
    4. Jacek Jaworski & Leszek Czerwonka, 2021. "Determinants of Enterprises’ Capital Structure in Energy Industry: Evidence from European Union," Energies, MDPI, vol. 14(7), pages 1-21, March.
    5. Ana Venâncio & João Jorge, 2022. "The role of accelerator programmes on the capital structure of start-ups," Small Business Economics, Springer, vol. 59(3), pages 1143-1167, October.
    6. Mário Santos & António Moreira & Elisabete Vieira, 2014. "Ownership concentration, contestability, family firms, and capital structure," Journal of Management & Governance, Springer;Accademia Italiana di Economia Aziendale (AIDEA), vol. 18(4), pages 1063-1107, November.
    7. Sanjiva Prasad & Christopher J. Green & Victor Murinde, 2005. "Company Financial Structure: A Survey and Implications for Developing Economies," Chapters, in: Christopher J. Green & Colin Kirkpatrick & Victor Murinde (ed.), Finance and Development, chapter 12, Edward Elgar Publishing.
    8. Steven M. Fazzari & R. Glenn Hubbard & Bruce C. Petersen, 1988. "Financing Constraints and Corporate Investment," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 19(1), pages 141-206.
    9. Mayur, Manas & Kumar, Manoj, 2006. "An Empirical Investigation of Going Public Decision of Indian Companies," MPRA Paper 1801, University Library of Munich, Germany.
    10. Antonczyk, Ron Christian & Salzmann, Astrid Juliane, 2014. "Overconfidence and optimism: The effect of national culture on capital structure," Research in International Business and Finance, Elsevier, vol. 31(C), pages 132-151.
    11. Maclachlan, Iain C, 2007. "An empirical study of corporate bond pricing with unobserved capital structure dynamics," MPRA Paper 28416, University Library of Munich, Germany.
    12. Barran, Fernando & Peeters, Marga, 1998. "Internal finance and corporate investment: Belgian evidence with panel data," Economic Modelling, Elsevier, vol. 15(1), pages 67-89, January.
    13. Rizov, Marian, 2008. "Corporate capital structure and how soft budget constraints may affect it," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 22(4), pages 648-684.
    14. Maria K. Markopoulou & Demetrios L. Papadopoulos, 2009. "An empirical investigation on the capital structure signalling theory of companies listed in the Greek Stock Exchange," Portuguese Journal of Management Studies, ISEG, Universidade de Lisboa, vol. 0(3), pages 217-238.
    15. Murizah Osman Salleh & Aziz Jaafar & M. Shahid Ebrahim, 2011. "The Inhibition of Usury (Riba An-Nasi'ah) and the Economic Underdevelopment of the Muslim World," Working Papers 11002, Bangor Business School, Prifysgol Bangor University (Cymru / Wales).
    16. Ibrahimo, M.V. & Barros, C.P., 2009. "Relevance or irrelevance of capital structure?," Economic Modelling, Elsevier, vol. 26(2), pages 473-479, March.
    17. Kenneth A. Froot, 2007. "Risk Management, Capital Budgeting, and Capital Structure Policy for Insurers and Reinsurers," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 74(2), pages 273-299, June.
    18. Rumpf, Dominik, 2013. "Zinsbereinigung bei der Dualen Einkommensteuer," Beiträge zur Finanzwissenschaft, Mohr Siebeck, Tübingen, edition 1, volume 32, number urn:isbn:9783161528699, December.
    19. repec:dgr:uvatin:20020072 is not listed on IDEAS
    20. Morais, Flávio & Serrasqueiro, Zélia & Ramalho, Joaquim J.S., 2020. "The zero-leverage phenomenon: A bivariate probit with partial observability approach," Research in International Business and Finance, Elsevier, vol. 53(C).
    21. Nigel Driffield & Vidya Mahambare & Sarmistha Pal, 2004. "Dynamic Adjustment of Corporate Leverage: Is there a lesson to learn from the Recent Asian Crisis?," Finance 0405007, University Library of Munich, Germany.

    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:eee:insuma:v:45:y:2009:i:1:p:65-73. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/505554 .

    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.