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2013 | OriginalPaper | Buchkapitel

3. Modeling Catastrophe Risk for Designing Insurance Systems

verfasst von : Tatiana Ermolieva, Yuri Ermoliev

Erschienen in: Integrated Catastrophe Risk Modeling

Verlag: Springer Netherlands

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Abstract

In catastrophe management, risk spreading is one of the important measures for increasing societal resilience to disasters. In this paper we discuss an integrated catastrophe management model which explores alternative risk spreading options. As a case study we consider the seismic prone Tuscany region of Italy. Special attention is given to the evaluation of a public loss-spreading program involving partial compensation to victims by the central government and the spreading of risks through a pool of insurers on the basis of location-specific exposures. GIS-based catastrophe models and stochastic optimization methods are used to guide policy analysis with respect to location-specific risk exposures. The use of economically sound risk indicators lead to convex stochastic optimization problems strongly connected with nonconvex insolvency constraint and Conditional Value-at-Risk (CVaR).

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Fußnoten
1
The chapter is a modified version of a previous paper, which is reprinted with permission of the Society for Industrial and Applied Mathematics “Copyright (c) 2005 Society for Industrial and Applied Mathematics. All rights reserved.”
 
Literatur
Zurück zum Zitat Amendola A, Ermoliev Y, Ermolieva T, Gitits V, Koff G, Linnerooth-Bayer J (2000a) A systems approach to modeling catastrophic risks and insurability. Nat Hazard 21:381–393CrossRef Amendola A, Ermoliev Y, Ermolieva T, Gitits V, Koff G, Linnerooth-Bayer J (2000a) A systems approach to modeling catastrophic risks and insurability. Nat Hazard 21:381–393CrossRef
Zurück zum Zitat Amendola A, Ermoliev Y, Ermolieva T (2000b) Earthquake risk management: a case study for an Italian region. In: Proceedings of the second Euroconference on global change and catastrophe risk management: earthquake risks in Europe IIASA, Laxenburg, Austria Amendola A, Ermoliev Y, Ermolieva T (2000b) Earthquake risk management: a case study for an Italian region. In: Proceedings of the second Euroconference on global change and catastrophe risk management: earthquake risks in Europe IIASA, Laxenburg, Austria
Zurück zum Zitat Amendola A, Ermoliev Y, Ermolieva TY (2001) Earthquake risk management: a case study for an Italian region. In: Zio E, Demichela M, and Piccinini N (eds) Towards a Safer World. Proceedings of the ESREL Conference, Torino, Italy, 16–20(3):1875–1882 Amendola A, Ermoliev Y, Ermolieva TY (2001) Earthquake risk management: a case study for an Italian region. In: Zio E, Demichela M, and Piccinini N (eds) Towards a Safer World. Proceedings of the ESREL Conference, Torino, Italy, 16–20(3):1875–1882
Zurück zum Zitat Arrow K (1996) The theory of risk-bearing: small and great risks. J Risk Uncertain 12:103–111CrossRef Arrow K (1996) The theory of risk-bearing: small and great risks. J Risk Uncertain 12:103–111CrossRef
Zurück zum Zitat Artzner P, Delbaen F, Eber JM, Heath D (1999) Coherent measures of risk. Math Finance 9(3):203–228CrossRef Artzner P, Delbaen F, Eber JM, Heath D (1999) Coherent measures of risk. Math Finance 9(3):203–228CrossRef
Zurück zum Zitat Baranov S, Digas B, Ermolieva T, Rozenberg V (2002) Earthquake risk management: scenario generator. International Institute Applied Systems Analysis, interim report IR-02-025, Laxenburg, Austria Baranov S, Digas B, Ermolieva T, Rozenberg V (2002) Earthquake risk management: scenario generator. International Institute Applied Systems Analysis, interim report IR-02-025, Laxenburg, Austria
Zurück zum Zitat Birge J, Louveaux F (1997) Introduction to stochastic programming. Springer series in operations research. Springer, New York Birge J, Louveaux F (1997) Introduction to stochastic programming. Springer series in operations research. Springer, New York
Zurück zum Zitat Borch K (1962) Equilibrium in a reinsurance market. Econometrica 30(3):424–444CrossRef Borch K (1962) Equilibrium in a reinsurance market. Econometrica 30(3):424–444CrossRef
Zurück zum Zitat Cummins JD, Doherty N (1996) Can insurer pay for the “Big One”? measuring capacity of an insurance market to respond to catastrophic losses. Working paper, Wharton risk management and Decision Processes Center, University of Pennsylvania, Philadelphia, PA Cummins JD, Doherty N (1996) Can insurer pay for the “Big One”? measuring capacity of an insurance market to respond to catastrophic losses. Working paper, Wharton risk management and Decision Processes Center, University of Pennsylvania, Philadelphia, PA
Zurück zum Zitat Daykin C, Pentikainen T, Pesonen M (1994) Practical risk theory for actuaries. Monographs on statistics and applied probability, vol 53. Chapman and Hall Ltd., London Daykin C, Pentikainen T, Pesonen M (1994) Practical risk theory for actuaries. Monographs on statistics and applied probability, vol 53. Chapman and Hall Ltd., London
Zurück zum Zitat Dilley M, Chen R, Deichmann U, Lerner-Lam A, Arnold M, Agwe J, Buys P, Kjekstad O, Lyon B, Yetman G (2005) Natural disaster hotspots: a global risk analysis. Disaster risk management series 5. The World Bank Hazard Management Unit, Washington, DCCrossRef Dilley M, Chen R, Deichmann U, Lerner-Lam A, Arnold M, Agwe J, Buys P, Kjekstad O, Lyon B, Yetman G (2005) Natural disaster hotspots: a global risk analysis. Disaster risk management series 5. The World Bank Hazard Management Unit, Washington, DCCrossRef
Zurück zum Zitat Embrechts P, Klueppelberg C, Mikosch T (2000) Modeling extremal events for insurance and finance: applications of mathematics, stochastic modeling and applied probability, vol 33. Springer, Heidelberg Embrechts P, Klueppelberg C, Mikosch T (2000) Modeling extremal events for insurance and finance: applications of mathematics, stochastic modeling and applied probability, vol 33. Springer, Heidelberg
Zurück zum Zitat Ermoliev Y, Wets R (1988) Numerical techniques of stochastic optimization. Computational mathematics. Springer, BerlinCrossRef Ermoliev Y, Wets R (1988) Numerical techniques of stochastic optimization. Computational mathematics. Springer, BerlinCrossRef
Zurück zum Zitat Ermoliev Y, Ermolieva T, MacDonald G, Norkin V (2000) Insurability of catastrophic risks: the stochastic optimization model. Optim J 47:251–265CrossRef Ermoliev Y, Ermolieva T, MacDonald G, Norkin V (2000) Insurability of catastrophic risks: the stochastic optimization model. Optim J 47:251–265CrossRef
Zurück zum Zitat Ermoliev Y, Ermolieva T, MacDonald G, Norkin V (2001) Problems on insurance of catastrophic risks. Cybern Syst Anal 37(2):220–234CrossRef Ermoliev Y, Ermolieva T, MacDonald G, Norkin V (2001) Problems on insurance of catastrophic risks. Cybern Syst Anal 37(2):220–234CrossRef
Zurück zum Zitat Ermolieva T (1997) The design of optimal insurance decisions in the presence of catastrophic risks. International Institute Applied Systems Analysis, interim report IR-97-068, Laxenburg, Austria Ermolieva T (1997) The design of optimal insurance decisions in the presence of catastrophic risks. International Institute Applied Systems Analysis, interim report IR-97-068, Laxenburg, Austria
Zurück zum Zitat Ermolieva T, Ermoliev Y, Norkin V (1997) Spatial stochastic model for optimizing capacity of insurance networks under dependent catastrophic risks: numerical experiments. International Institute Applied Systems Analysis, interim report IR-97-028, Laxenburg, Austria Ermolieva T, Ermoliev Y, Norkin V (1997) Spatial stochastic model for optimizing capacity of insurance networks under dependent catastrophic risks: numerical experiments. International Institute Applied Systems Analysis, interim report IR-97-028, Laxenburg, Austria
Zurück zum Zitat Ermolieva T, Ermoliev Y, Linnerooth-Bayer J, Galambos I (2001) The role of financial instruments in integrated catastrophic flood management. In: Proceedings of the 8th annual conference of the multinational financial society, Garda, Italy Ermolieva T, Ermoliev Y, Linnerooth-Bayer J, Galambos I (2001) The role of financial instruments in integrated catastrophic flood management. In: Proceedings of the 8th annual conference of the multinational financial society, Garda, Italy
Zurück zum Zitat Froot K (1997) The limited financing of catastrophe risk: an overview. Harvard Business School and National Bureau of Economic Research, CambridgeCrossRef Froot K (1997) The limited financing of catastrophe risk: an overview. Harvard Business School and National Bureau of Economic Research, CambridgeCrossRef
Zurück zum Zitat Giarini O, Louberg H (1978) The diminishing returns of technology. Pergamon Press, Oxford Giarini O, Louberg H (1978) The diminishing returns of technology. Pergamon Press, Oxford
Zurück zum Zitat Gilber C, Gouy C (1998) Flood management in France. In: Rosenthal U, Hart P’t (eds) Flood response and crisis management in Western Europe: a comparative analysis. Springer, Berlin Gilber C, Gouy C (1998) Flood management in France. In: Rosenthal U, Hart P’t (eds) Flood response and crisis management in Western Europe: a comparative analysis. Springer, Berlin
Zurück zum Zitat Ginsburg V, Keyzer M (1997) The structure of applied general equilibrium models. The MIT Press, Cambridge Ginsburg V, Keyzer M (1997) The structure of applied general equilibrium models. The MIT Press, Cambridge
Zurück zum Zitat Grandell J (1991) Aspects of risk theory. Probability and its applications. Springer, New York/Berlin/HeidelbergCrossRef Grandell J (1991) Aspects of risk theory. Probability and its applications. Springer, New York/Berlin/HeidelbergCrossRef
Zurück zum Zitat Insurance Service Office (1994) The impact of catastrophes on property insurance. Insurance Service Office, New York Insurance Service Office (1994) The impact of catastrophes on property insurance. Insurance Service Office, New York
Zurück zum Zitat Konno H, Yamazaki H (1991) Mean absolute deviation portfolio optimization model and its application to Tokyo stock market. Manag Sci 37:519–531CrossRef Konno H, Yamazaki H (1991) Mean absolute deviation portfolio optimization model and its application to Tokyo stock market. Manag Sci 37:519–531CrossRef
Zurück zum Zitat Kunreuther H, Roth R (1998) Paying the price: the status and role of insurance against natural disasters in the United States. Joseph Henry Press, Washington, DC Kunreuther H, Roth R (1998) Paying the price: the status and role of insurance against natural disasters in the United States. Joseph Henry Press, Washington, DC
Zurück zum Zitat Linnerooth-Bayer J, Amendola A (2000) Global change, catastrophic risk and loss spreading. GENEVA PAP Risk Insur 25(2):203–219CrossRef Linnerooth-Bayer J, Amendola A (2000) Global change, catastrophic risk and loss spreading. GENEVA PAP Risk Insur 25(2):203–219CrossRef
Zurück zum Zitat MacKellar L, Ermolieva T (1999) The IIASA social security project multiregional economic-demographic growth model: policy background and algebraic structure. International Institute Applied Systems Analysis, interim report IR-99-007, Laxenburg, Austria MacKellar L, Ermolieva T (1999) The IIASA social security project multiregional economic-demographic growth model: policy background and algebraic structure. International Institute Applied Systems Analysis, interim report IR-99-007, Laxenburg, Austria
Zurück zum Zitat Markowitz H (1987) Mean variance analysis in portfolio choice and capital markets. Blackwell, Oxford Markowitz H (1987) Mean variance analysis in portfolio choice and capital markets. Blackwell, Oxford
Zurück zum Zitat Munich Re (2009) Topics geo. Natural catastrophes 2008. Analyses, assessments, positions. Munich Reinsurance Company, Munich Munich Re (2009) Topics geo. Natural catastrophes 2008. Analyses, assessments, positions. Munich Reinsurance Company, Munich
Zurück zum Zitat Munich Re (2011a) Half-year natural catastrophe review: USA. Munich Reinsurance Company, Munich Munich Re (2011a) Half-year natural catastrophe review: USA. Munich Reinsurance Company, Munich
Zurück zum Zitat National Research Council (1999) National disaster losses: a framework for assessment. Committee on Assessing the Costs of Natural Disasters. National Academy Press, Washington, DC National Research Council (1999) National disaster losses: a framework for assessment. Committee on Assessing the Costs of Natural Disasters. National Academy Press, Washington, DC
Zurück zum Zitat Petrini V (1995) Pericolosità Sismica e Prime Valutazioni di Rischio in Toscana. CNR/IRRS, Milan Petrini V (1995) Pericolosità Sismica e Prime Valutazioni di Rischio in Toscana. CNR/IRRS, Milan
Zurück zum Zitat Pollner J (2000) Catastrophe risk management: using alternative risk financing and insurance pooling mechanisms. Finance, private sector & infrastructure sector unit, Caribbean Country Department, Latin America and the Caribbean region. Worldbank Technical Paper, World Bank, p 495 Pollner J (2000) Catastrophe risk management: using alternative risk financing and insurance pooling mechanisms. Finance, private sector & infrastructure sector unit, Caribbean Country Department, Latin America and the Caribbean region. Worldbank Technical Paper, World Bank, p 495
Zurück zum Zitat Pugh EL (1966) A gradient technique of adaptive Monte Carlo. SIAM Rev 8(3):346–355CrossRef Pugh EL (1966) A gradient technique of adaptive Monte Carlo. SIAM Rev 8(3):346–355CrossRef
Zurück zum Zitat Rockafellar T, Uryasev S (2000) Optimization of conditional value-at-risk. J Risk 2(3):21–41CrossRef Rockafellar T, Uryasev S (2000) Optimization of conditional value-at-risk. J Risk 2(3):21–41CrossRef
Zurück zum Zitat Rozzenberg V, Ermolieva T, Blizorukova M (2001) Modeling earthquakes via computer programs. International Institute Applied Systems Analysis, interim report IR-01-068, Laxenburg, Austria Rozzenberg V, Ermolieva T, Blizorukova M (2001) Modeling earthquakes via computer programs. International Institute Applied Systems Analysis, interim report IR-01-068, Laxenburg, Austria
Zurück zum Zitat Schiermeier Q (2006) Insurers’ disaster files suggest climate is culprit. Nature 441:674–675CrossRef Schiermeier Q (2006) Insurers’ disaster files suggest climate is culprit. Nature 441:674–675CrossRef
Zurück zum Zitat Stone JM (1973) A theory of capacity and the insurance of catastrophe risks. J Risk Insur 40:231–244, 339–355CrossRef Stone JM (1973) A theory of capacity and the insurance of catastrophe risks. J Risk Insur 40:231–244, 339–355CrossRef
Zurück zum Zitat Walker G (1997) Current developments in catastrophe modelling. In: Britton NR, Oliver J (eds) Financial risk management for natural catastrophes. Griffith University, Brisbane, pp 17–35 Walker G (1997) Current developments in catastrophe modelling. In: Britton NR, Oliver J (eds) Financial risk management for natural catastrophes. Griffith University, Brisbane, pp 17–35
Metadaten
Titel
Modeling Catastrophe Risk for Designing Insurance Systems
verfasst von
Tatiana Ermolieva
Yuri Ermoliev
Copyright-Jahr
2013
Verlag
Springer Netherlands
DOI
https://doi.org/10.1007/978-94-007-2226-2_3

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