Abstract
All disclosed earthquake models used for risk assessment in the insurance industry are commonly based on historical catalogues. These catalogues typically cover several decades or even a few hundred years; thus, they reveal only a small amount of information compared to the thousands of years that make up the typical period of occurrence for earthquakes in a specific geographic area. The current research approach progresses using fault sources, the recent trend of geophysical research proposals to address the missing information. Then, a reliable methodology is presented for the evaluation of seismic risk and consequently for the respective pricing process and the calculation of the solvency capital requirement (SCR) within the framework of Solvency II. Finally, a high-quality evaluation algorithm is provided for pricing and SCR calculation, while a case study for a model portfolio of buildings in Greece is also presented.
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Notes
This calculation was processed by Prudential, an actuarial consulting company in Greece.
References
Artzner P, Delbaen F, Eber J-M, Heath D (1999) Coherent measures of risk. Math Financ 9(3):203–228
Asprone D, Jalayer F, Simonelli S, Acconcia A, Prota A, Manfredi G (2013) Seismic insurance model for the Italian residential building stock. Struct Saf 44:70–79
Baddeley A, Rubak E, Turner R (2015) Spatial point patterns: methodology and applications with R. CRC Press
Box GE, Pierce DA (1970) Distribution of residual autocorrelations in autoregressive-integrated moving average time series models. J Am Stat Assoc 65(332):1509–1526
Calvi GM, Pinho R, Magenes G, Bommer JJ, Restrepo-Vélez LF, Crowley H (2006) Development of seismic vulnerability assessment methodologies over the past 30 years. ISET J Earthq Technol 43(3):75–104
Console R, Murru M, Falcone G (2017) Earthquake occurrence: short- and long-term models and their validation. John Wiley & Sons
Cua G, Wald D, Allen T, Garcia D, Worden C, Gerstenberger M, Lin K, Marano K (2010) Best practices for using macroseismic intensity and ground motion-intensity conversion equations for hazard and loss models in gem1. Technical report, GEM Technical Report 2010–4, GEM Foundation, Pavia, Italy
Deligiannakis G, Papanikolaou I, Roberts G (2018) Fault specific gis based seismic hazard maps for the Attica region, Greece. Geomorphology 306:264–282
Deligiannakis G, Zimbidis A, Papanikolaou I (2021) Earthquake loss and solvency capital requirement calculation using a fault-specific catastrophe model. The Geneva Papers on Risk and Insurance-Issues and Practice 1–26
Dong W, Shah H, Wong F (1996) A rational approach to pricing of catastrophe insurance. J Risk Uncertain 12(2):201–218
Douglas J (2014) Ground motion prediction equations 1964–2014. PEER Report 2011:102
Escobar DD, Pflug GC (2018) The distortion principle for insurance pricing: properties, identification and robustness. Annals of Operations Research 1–24
Föllmer H, Schied A (2011) Stochastic finance: an introduction in discrete time. Walter de Gruyter
Franco G, Guidotti R, Bayliss C, Estrada-Moreno A, Juan A, Pomonis A (2019) Earthquake financial protection for Greece: a parametric insurance cover prototype. In: Proceedings of the ICONHIC2019 2nd International Conference on Natural Hazards and Infrastructure, pp 1–8
Frankel A (1995) Simulating strong motions of large earthquakes using recordings of small earthquakes: the Loma Prieta mainshock as a test case. Bull Seismol Soc Am 85(4):1144–1160
García-Mayordomo J, Martín-Banda R, Insua-Arévalo JM, Álvarez-Gómez JA, Martínez-Díaz JJ, Cabral J (2017) Active fault databases: building a bridge between earthquake geologists and seismic hazard practitioners, the case of the qafi v. 3 database. Natural Hazards and Earth System Sciences 17(8):1447–1459
Gardner J, Knopoff L (1974) Is the sequence of earthquakes in southern California, with aftershocks removed, Poissonian? Bull Seismol Soc Am 64(5):1363–1367
Gutenberg B, Richter CF (1944) Frequency of earthquakes in California. Bull Seismol Soc Am 34(4):185–188
Hanks TC, Kanamori H (1979) A moment magnitude scale. J Geophys Res 84(B5):2348–2350
Jalilian A (2019) Etas: an r package for fitting the spacetime etas model to earthquake data. J Stat Softw 88(1):1–39
Kagan YY (2013) Earthquakes: models, statistics, testable forecasts. John Wiley & Sons
Kappos AJ (2013) Seismic vulnerability and loss assessment for buildings in Greece. In Seismic Vulnerability of Structures, P. Gueguen (Ed.). https://doi.org/10.1002/9781118603925.ch3
Kappos AJ, Panagopoulos G, Panagiotopoulos C, Penelis G (2006) A hybrid method for the vulnerability assessment of r/c and urm buildings. Bull Earthq Eng 4(4):391–413
Knopoff L, Gardner J (1972) Higher seismic activity during local night on the raw worldwide earthquake catalogue. Geophys J Int 28(3):311–313
Kunreuther H (1996) Mitigating disaster losses through insurance. J Risk Uncertain 12(2):171–187
Lin JH (2018) Earthquake insurance pricing: a risk-based approach. Disasters 42(2):392–404
McGuire R (2004) Seismic hazard and risk analysis: earthquake engineering research institute. Monograph 10:221
McNeil AJ, Frey R, Embrechts P (2015) Quantitative risk management: concepts, techniques and tools-revised edition. Princeton University Press
Meslem A, Lang DH (2017) Physical vulnerability in earthquake risk assessment. In: Oxford Research Encyclopedia of Natural Hazard Science.
Mikosch T (2009) Non-life insurance mathematics: an introduction with the Poisson process. Springer Science & Business Media
Ogata Y (1998) Space-time point-process models for earthquake occurrences. Ann Inst Stat Math 50(2):379–402
Pace B, Visini F, Peruzza L (2016) Fish: Matlab tools to turn fault data into seismic-hazard models. Seismol Res Lett 87(2A):374–386
Papanikolaou ID, Roberts GP, Deligiannakis G, Sakellariou A, Vassilakis E (2013) The Sparta fault, southern Greece: from segmentation and tectonic geomorphology to seismic hazard mapping and time dependent probabilities. Tectonophysics 597:85–105
Papazachos B, Comninakis P, Karakaisis G, Karakostas B, Papaioannou CA, Papazachos C, Scordilis E (2000) A catalogue of earthquakes in Greece and surrounding area for the period 550bc–1999. Publ Geoph Lab, Univ of Thessaloniki 1:333
Pavlides S, Caputo R, Sboras S, Chatzipetros A, Papathanasiou G, Valkaniotis S (2010) The Greek catalogue of active faults and database of seismogenic sources. Bull Geol Soc Greece 43(1):486–494
Peng Y (2011) Insurance pricing under uncertainty by means of distortion function. In: 2011 International Conference on E-Business and E-Government (ICEE), IEEE, pp 1–4
Peruzza L, Pace B, Cavallini F (2010) Error propagation in time-dependent probability of occurrence for characteristic earthquakes in Italy. J Seismolog 14(1):119–141
Rinaldis D, Berardi R, Theodulidis N, Margaris B (1998) Empirical predictive models based on a joint Italian & Greek strong-motion database. In: Proceedings of Eleventh European Conference on Earthquake Engineering
Talbi A, Nanjo K, Satake K, Zhuang J, Hamdache M (2013) Comparison of seismicity declustering methods using a probabilistic measure of clustering. J Seismolog 17(3):1041–1061
Tao Z, Wu DD, Zheng Z, Tao X (2010) Earthquake insurance and earthquake risk management. Hum Ecol Risk Assess 16(3):524–535
Valentini A, Visini F, Pace B (2017) Integrating faults and past earthquakes into a probabilistic seismic hazard model for peninsular Italy. Natural Hazards Earth System Sciences.
Wells DL, Coppersmith KJ (1994) New empirical relationships among magnitude, rupture length, rupture width, rupture area, and surface displacement. Bull Seismol Soc Am 84(4):974–1002
Wiemer S (2001) A software package to analyze seismicity: ZMAP. Seismol Res Lett 72(3):373–382
Youngs RR, Coppersmith KJ (1985) Implications of fault slip rates and earthquake recurrence models to probabilistic seismic hazard estimates. Bull Seismol Soc Am 75(4):939–964
Yucemen M (2005) Probabilistic assessment of earthquake insurance rates for Turkey. Nat Hazards 35(2):291–313
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Louloudis, E., Zimbidis, A. & Yannacopoulos, A. Stochastic assessment of seismic risk using faults to address the incomplete information in historical catalogues. Eur. Actuar. J. 13, 375–397 (2023). https://doi.org/10.1007/s13385-022-00324-2
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DOI: https://doi.org/10.1007/s13385-022-00324-2