IDEAS home Printed from https://ideas.repec.org/a/bla/eufman/v26y2020i5p1414-1448.html
   My bibliography  Save this article

Portfolio optimization in the catastrophe space

Author

Listed:
  • Carolyn W. Chang
  • Jack S. K. Chang
  • Min‐Teh Yu
  • Yang Zhao

Abstract

In today's global catastrophe space, the role of insurance‐linked securities has evolved from that of a threatened reinsurance substitute to now being a viable complementary reinsurance product, underpinning the convergence of the two markets. This study constructs a two‐agent sequential optimization framework to mimic the economics of the reinsurance/insurance markets and shows how NPV‐maximizing reinsurers and hedging cost‐minimizing insurers can optimally allocate default‐risky catastrophe reinsurance and default‐free catastrophe bonds at the interface of these two markets. We analyze parametric impacts considering interest rate risk, financial leverage, basis risk, differential markup, catastrophe arrival intensity, and severity, as well as other relevant characteristics.

Suggested Citation

  • Carolyn W. Chang & Jack S. K. Chang & Min‐Teh Yu & Yang Zhao, 2020. "Portfolio optimization in the catastrophe space," European Financial Management, European Financial Management Association, vol. 26(5), pages 1414-1448, November.
  • Handle: RePEc:bla:eufman:v:26:y:2020:i:5:p:1414-1448
    DOI: 10.1111/eufm.12265
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/eufm.12265
    Download Restriction: no

    File URL: https://libkey.io/10.1111/eufm.12265?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. Silke Finken & Christian Laux, 2009. "Catastrophe Bonds and Reinsurance: The Competitive Effect of Information‐Insensitive Triggers," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 76(3), pages 579-605, September.
    2. J. Michael Harrison & Stanley R. Pliska, 1981. "Martingales and Stochastic Integrals in the Theory of Continous Trading," Discussion Papers 454, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    3. Geman, Hélyette, 2005. "From measure changes to time changes in asset pricing," Journal of Banking & Finance, Elsevier, vol. 29(11), pages 2701-2722, November.
    4. John C. Cox & Jonathan E. Ingersoll Jr. & Stephen A. Ross, 2005. "A Theory Of The Term Structure Of Interest Rates," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 5, pages 129-164, World Scientific Publishing Co. Pte. Ltd..
    5. 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.
    6. Härdle, Wolfgang Karl & Cabrera, Brenda López, 2007. "Calibrating CAT bonds for Mexican earthquakes," SFB 649 Discussion Papers 2007-037, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    7. Duan, Jin-Chuan & Yu, Min-Teh, 2005. "Fair insurance guaranty premia in the presence of risk-based capital regulations, stochastic interest rate and catastrophe risk," Journal of Banking & Finance, Elsevier, vol. 29(10), pages 2435-2454, October.
    8. 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.
    9. Lee, Jin-Ping & Yu, Min-Teh, 2007. "Valuation of catastrophe reinsurance with catastrophe bonds," Insurance: Mathematics and Economics, Elsevier, vol. 41(2), pages 264-278, September.
    10. Jo†Yu Wang & Wen†Lin Wu & Yang†Che Wu & Ming Jing Yang, 2017. "How To Manage Long†term Financial Self†sufficiency of a National Catastrophe Insurance Fund? The Feasibility of Three Bailout Programmes," European Financial Management, European Financial Management Association, vol. 23(5), pages 951-974, October.
    11. Helyette Geman, 2005. "From Measure Changes to Time Changes in Asset Pricing," Post-Print halshs-00144296, HAL.
    12. Duan, Jin-Chuan & Simonato, Jean-Guy, 2002. "Maximum likelihood estimation of deposit insurance value with interest rate risk," Journal of Empirical Finance, Elsevier, vol. 9(1), pages 109-132, January.
    13. Jin-Chuan, Duan & Moreau, Arthur F. & Sealey, C. W., 1995. "Deposit insurance and bank interest rate risk: Pricing and regulatory implications," Journal of Banking & Finance, Elsevier, vol. 19(6), pages 1091-1108, September.
    14. Dassios, Angelos & Jang, Jiwook, 2003. "Pricing of catastrophe reinsurance and derivatives using the Cox process with shot noise intensity," LSE Research Online Documents on Economics 2849, London School of Economics and Political Science, LSE Library.
    15. Alexander Braun, 2016. "Pricing in the Primary Market for Cat Bonds: New Empirical Evidence," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 83(4), pages 811-847, December.
    16. Pennacchi, George & Vermaelen, Theo & Wolff, Christian C. P., 2014. "Contingent Capital: The Case of COERCs," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 49(3), pages 541-574, June.
    17. repec:dau:papers:123456789/1388 is not listed on IDEAS
    18. Wolfgang Karl Härdle & Brenda López Cabrera, 2010. "Calibrating CAT Bonds for Mexican Earthquakes," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 77(3), pages 625-650, September.
    19. J. David Cummins & Mary A. Weiss, 2009. "Convergence of Insurance and Financial Markets: Hybrid and Securitized Risk‐Transfer Solutions," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 76(3), pages 493-545, September.
    20. Zhao, Yang & Yu, Min-Teh, 2019. "Measuring the liquidity impact on catastrophe bond spreads," Pacific-Basin Finance Journal, Elsevier, vol. 56(C), pages 197-210.
    21. Harrison, J. Michael & Kreps, David M., 1979. "Martingales and arbitrage in multiperiod securities markets," Journal of Economic Theory, Elsevier, vol. 20(3), pages 381-408, June.
    22. Harrison, J. Michael & Pliska, Stanley R., 1981. "Martingales and stochastic integrals in the theory of continuous trading," Stochastic Processes and their Applications, Elsevier, vol. 11(3), pages 215-260, August.
    23. Joshua D. Coval & Jakub W. Jurek & Erik Stafford, 2009. "Economic Catastrophe Bonds," American Economic Review, American Economic Association, vol. 99(3), pages 628-666, June.
    24. J. David Cummins & Philippe Trainar, 2009. "Securitization, Insurance, and Reinsurance," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 76(3), pages 463-492, September.
    25. Marc Gürtler & Martin Hibbeln & Christine Winkelvos, 2016. "The Impact of the Financial Crisis and Natural Catastrophes on CAT Bonds," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 83(3), pages 579-612, September.
    26. Carolyn W. Chang & Jack S. K. Chang, 2017. "An Integrated Approach to Pricing Catastrophe Reinsurance," Risks, MDPI, vol. 5(3), pages 1-12, September.
    27. Chang, Jack S. K. & Cheung, C. S. & Krinsky, I., 1989. "On the derivation of reinsurance premiums," Insurance: Mathematics and Economics, Elsevier, vol. 8(2), pages 137-144, June.
    28. Nadine Gatzert & Sebastian Pokutta & Nikolai Vogl, 2019. "Convergence Of Capital And Insurance Markets: Consistent Pricing Of Index‐Linked Catastrophe Loss Instruments," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 86(1), pages 39-72, March.
    29. 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.
    30. Jarrow, Robert A., 2010. "A simple robust model for Cat bond valuation," Finance Research Letters, Elsevier, vol. 7(2), pages 72-79, June.
    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. Raluca Maran, 2023. "Do Sovereign Catastrophe Bonds Improve Fiscal Resilience? An Application of Synthetic Control Method to Mexico," Economics of Disasters and Climate Change, Springer, vol. 7(3), pages 431-455, November.
    2. Zhao, Yang & Yu, Min-Teh, 2020. "Predicting catastrophe risk: Evidence from catastrophe bond markets," Journal of Banking & Finance, Elsevier, vol. 121(C).
    3. Chang Carolyn W. & Feng Yalan, 2021. "Hurricane Bond Price Dependency on Underlying Hurricane Parameters," Asia-Pacific Journal of Risk and Insurance, De Gruyter, vol. 15(1), pages 1-21, January.

    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. Burnecki, Krzysztof & Giuricich, Mario Nicoló & Palmowski, Zbigniew, 2019. "Valuation of contingent convertible catastrophe bonds — The case for equity conversion," Insurance: Mathematics and Economics, Elsevier, vol. 88(C), pages 238-254.
    2. 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.
    3. Carolyn W. Chang & Jack S. K. Chang, 2017. "An Integrated Approach to Pricing Catastrophe Reinsurance," Risks, MDPI, vol. 5(3), pages 1-12, September.
    4. Ben Ammar, Semir & Braun, Alexander & Eling, Martin, 2015. "Alternative Risk Transfer and Insurance-Linked Securities: Trends, Challenges and New Market Opportunities," I.VW HSG Schriftenreihe, University of St.Gallen, Institute of Insurance Economics (I.VW-HSG), volume 56, number 56.
    5. Zhao, Yang & Yu, Min-Teh, 2020. "Predicting catastrophe risk: Evidence from catastrophe bond markets," Journal of Banking & Finance, Elsevier, vol. 121(C).
    6. Lo, Chien-Ling & Chang, Carolyn W. & Lee, Jin-Ping & Yu, Min-Teh, 2021. "Pricing catastrophe swaps with default risk and stochastic interest rates," Pacific-Basin Finance Journal, Elsevier, vol. 68(C).
    7. Krzysztof Burnecki & Mario Nicoló Giuricich, 2017. "Stable Weak Approximation at Work in Index-Linked Catastrophe Bond Pricing," Risks, MDPI, vol. 5(4), pages 1-19, December.
    8. Braun, Alexander, 2011. "Pricing catastrophe swaps: A contingent claims approach," Insurance: Mathematics and Economics, Elsevier, vol. 49(3), pages 520-536.
    9. Peter Carayannopoulos & Olga Kanj & M. Fabricio Perez, 2022. "Pricing dynamics in the market for catastrophe bonds," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 47(1), pages 172-202, January.
    10. Ma, Zong-Gang & Ma, Chao-Qun, 2013. "Pricing catastrophe risk bonds: A mixed approximation method," Insurance: Mathematics and Economics, Elsevier, vol. 52(2), pages 243-254.
    11. Han-Bin KANG & Hsuling CHANG & Tsangyao CHANG, 2022. "Catastrophe Reinsurance Pricing -Modification of Dynamic Asset-Liability Management," Journal for Economic Forecasting, Institute for Economic Forecasting, vol. 0(4), pages 5-20, December.
    12. Denis-Alexandre Trottier & Van Son Lai, 2017. "Reinsurance or CAT Bond? How to Optimally Combine Both," Working Papers 2017-003, Department of Research, Ipag Business School.
    13. Chia-Chien Chang & Min-Teh Yu, 2017. "Valuing Vulnerable Mortgage Insurance Under Capital Forbearance," The Journal of Real Estate Finance and Economics, Springer, vol. 54(4), pages 558-578, May.
    14. Zhao, Yang & Yu, Min-Teh, 2019. "Measuring the liquidity impact on catastrophe bond spreads," Pacific-Basin Finance Journal, Elsevier, vol. 56(C), pages 197-210.
    15. Sukono & Hafizan Juahir & Riza Andrian Ibrahim & Moch Panji Agung Saputra & Yuyun Hidayat & Igif Gimin Prihanto, 2022. "Application of Compound Poisson Process in Pricing Catastrophe Bonds: A Systematic Literature Review," Mathematics, MDPI, vol. 10(15), pages 1-19, July.
    16. Wu, Yang-Che, 2020. "Equilibrium in natural catastrophe insurance market under disaster-resistant technologies, financial innovations and government interventions," Insurance: Mathematics and Economics, Elsevier, vol. 95(C), pages 116-128.
    17. Truong, Chi & Trück, Stefan, 2016. "It’s not now or never: Implications of investment timing and risk aversion on climate adaptation to extreme events," European Journal of Operational Research, Elsevier, vol. 253(3), pages 856-868.
    18. Lee, Jin-Ping & Yu, Min-Teh, 2007. "Valuation of catastrophe reinsurance with catastrophe bonds," Insurance: Mathematics and Economics, Elsevier, vol. 41(2), pages 264-278, September.
    19. Robert J. Elliott & Tak Kuen Siu, 2016. "Pricing regime-switching risk in an HJM interest rate environment," Quantitative Finance, Taylor & Francis Journals, vol. 16(12), pages 1791-1800, December.
    20. Eckhard Platen & David Taylor, 2016. "Loading Pricing of Catastrophe Bonds and Other Long-Dated, Insurance-Type Contracts," Research Paper Series 379, Quantitative Finance Research Centre, University of Technology, Sydney.

    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:bla:eufman:v:26:y:2020:i:5:p:1414-1448. 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: https://edirc.repec.org/data/efmaaea.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.