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Tail risk driven by investment losses and exogenous shocks

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  • Man, Xinyue
  • Tang, Qihe

Abstract

Consider a company whose business carries the potential for investment losses and is additionally vulnerable to exogenous shocks. The unpredictability of the shocks makes it challenging for both the company and the regulator to accurately assess their impact, potentially leading to an underestimation of solvency capital when employing traditional approaches. In this paper, we utilize a stylized model to conduct an extreme value analysis of the tail risk of the company under a Fréchet-type and a Gumbel-type shock. Our main results explicitly demonstrate the different roles of investment risk and shock risk in driving large losses. Furthermore, we derive asymptotic estimates for the value at risk and expected shortfall of the total loss. Numerical studies are conducted to examine the accuracy of the obtained estimates.

Suggested Citation

  • Man, Xinyue & Tang, Qihe, 2024. "Tail risk driven by investment losses and exogenous shocks," ASTIN Bulletin, Cambridge University Press, vol. 54(3), pages 712-737, September.
    • Handle: RePEc:cup:astinb:v:54:y:2024:i:3:p:712-737_10
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    1. Froot, Kenneth A., 2001. "The market for catastrophe risk: a clinical examination," Journal of Financial Economics, Elsevier, vol. 60(2-3), pages 529-571, May.
    2. Ng, K.W. & Tang, Q.H. & Yang, H., 2002. "Maxima of Sums of Heavy-Tailed Random Variables," ASTIN Bulletin, Cambridge University Press, vol. 32(1), pages 43-55, May.
    3. M. Ivette Gomes & Armelle Guillou, 2015. "Extreme Value Theory and Statistics of Univariate Extremes: A Review," International Statistical Review, International Statistical Institute, vol. 83(2), pages 263-292, August.
    4. Alexander J. McNeil & Rüdiger Frey & Paul Embrechts, 2015. "Quantitative Risk Management: Concepts, Techniques and Tools Revised edition," Economics Books, Princeton University Press, edition 2, number 10496.
    5. Stefano Ramelli & Alexander F Wagner, 2020. "Feverish Stock Price Reactions to COVID-19," The Review of Corporate Finance Studies, Society for Financial Studies, vol. 9(3), pages 622-655.
    6. Merton, Robert C., 1976. "Option pricing when underlying stock returns are discontinuous," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 125-144.
    7. Enkelejd Hashorva & Anthony G. Pakes & Qihe Tang, 2010. "Asymptotics of Random Contractions," Papers 1008.0126, arXiv.org.
    8. Lindskog, Filip & McNeil, Alexander J., 2003. "Common Poisson Shock Models: Applications to Insurance and Credit Risk Modelling," ASTIN Bulletin, Cambridge University Press, vol. 33(2), pages 209-238, November.
    9. Einmahl, J. H.J. & Dekkers, A. L.M. & de Haan, L., 1989. "A moment estimator for the index of an extreme-value distribution," Other publications TiSEM 81970cb3-5b7a-4cad-9bf6-2, Tilburg University, School of Economics and Management.
    10. Igor Fedotenkov, 2020. "A Review of More than One Hundred Pareto-Tail Index Estimators," Statistica, Department of Statistics, University of Bologna, vol. 80(3), pages 245-299.
    11. Atanasov, Vladimir & Black, Bernard, 2016. "Shock-Based Causal Inference in Corporate Finance and Accounting Research," Critical Finance Review, now publishers, vol. 5(2), pages 207-304, December.
    12. Cox, Samuel H. & Fairchild, Joseph R. & Pedersen, Hal W., 2000. "Economic Aspects of Securitization of Risk," ASTIN Bulletin, Cambridge University Press, vol. 30(1), pages 157-193, May.
    13. Cochrane, John H, 1991. "A Simple Test of Consumption Insurance," Journal of Political Economy, University of Chicago Press, vol. 99(5), pages 957-976, October.
    14. Bernanke, Ben S, 1983. "Nonmonetary Effects of the Financial Crisis in Propagation of the Great Depression," American Economic Review, American Economic Association, vol. 73(3), pages 257-276, June.
    15. Tang, Qihe & Yang, Fan, 2012. "On the Haezendonck–Goovaerts risk measure for extreme risks," Insurance: Mathematics and Economics, Elsevier, vol. 50(1), pages 217-227.
    16. Cantelmo, Alessandro & Melina, Giovanni & Papageorgiou, Chris, 2023. "Macroeconomic outcomes in disaster-prone countries," Journal of Development Economics, Elsevier, vol. 161(C).
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