Martínez-Salgueiro, Andrea and Tarrazón-Rodón, María-Antonia (2020): Is diversification effective in reducing the systemic risk implied by a market for weather index-based insurance in Spain? Published in: Intenational Journal of Disaster Risk Reduction , Vol. 62, (August 2021): p. 102345.
Preview |
PDF
MPRA_paper_119924.pdf Download (1MB) | Preview |
Abstract
This study assesses how effective spatial diversification is in reducing the systemic risk implied by a market for weather index-based insurance in Spain and compares rainfall- and temperature-based policies in terms of systemic risk. Based on historical weather data, daily models which rely on the multivariate normal distribution are applied to derive greater samples. The results show that the Buffer Load, as measured by the Expected Shortfall, decreases up to 67% as the level of aggregation increases. This suggests that the trading area should not be focused on a specific county, but on Spain as a whole. Considering the highest aggregation degree, it is also shown that the diversification effect is significant, of up to 0.35. Finally, it is noted that rainfall insurance is a less-risky alternative as compared to temperature-geared contracts, as it implies lower losses and prices and stronger risk pooling effectiveness. Therefore, we recommend the inclusion of this type of policies in the insurance companies’ portfolio. Finally, although this study focuses on a specific country, the proposed methodology can be easily extrapolated to other geographical areas.
Item Type: | MPRA Paper |
---|---|
Original Title: | Is diversification effective in reducing the systemic risk implied by a market for weather index-based insurance in Spain? |
English Title: | Is diversification effective in reducing the systemic risk implied by a market for weather index-based insurance in Spain? |
Language: | English |
Keywords: | weather index-based insurance; spatial diversification; systemic weather risk; risk pooling effectiveness; multivariate normal distribution |
Subjects: | G - Financial Economics > G3 - Corporate Finance and Governance > G30 - General G - Financial Economics > G3 - Corporate Finance and Governance > G32 - Financing Policy ; Financial Risk and Risk Management ; Capital and Ownership Structure ; Value of Firms ; Goodwill M - Business Administration and Business Economics ; Marketing ; Accounting ; Personnel Economics > M1 - Business Administration > M10 - General |
Item ID: | 119924 |
Depositing User: | Dr. Andrea Martínez-Salgueiro |
Date Deposited: | 23 Jan 2024 18:54 |
Last Modified: | 23 Jan 2024 18:54 |
References: | Acerbi, C., and D. Tasche, 2002, On the Coherence of Expected Shortfall, Journal of Banking & Finance, 26(7): 1487–1503. https://doi.org/10.1016/s0378-4266(02)00283-2. Acerbi, C., C. Nordio, and C. Sirtori, 2001, Expected shortfall as a tool for financial risk management. Working paper. Available from <http://www.gloriamundi.org/var/wps.html>. Agroseguro, 2020, Informe annual.. https://agroseguro.es/informe-anual. Alaton, P., B. Djehiche, and D. Stillberger, 2002, On modelling and pricing weather derivatives, Applied Mathematical Finance, 9(1): 1-20. doi:10.1080/13504860210132897 Alexandridis, A. K., and A.D. Zapranis, 2013, Weather Derivatives: Modeling and Pricing Weather-related Risk. New York: Springer. Allayannis, G., J. Ihrig, and J.P. Weston, 2001, Exchange-Rate Hedging: Financial versus Operational Strategies, American Economic Review, 91(2): 391-395. doi:10.1257/aer.91.2.391 Artzner, P., F. Delbaen, J.-M Eber, and D. Heath, 1997, Thinking coherently, Risk, 10(11). Artzner, P., F. Delbaen, J.-M. Eber, and D. Heath, 1999, Coherent measures of risk, Mathematical Finance, 9(3): 203–228. Asseng, S., F. Ewert, P. Martre, R.P. Rötter, D. Lobell, D. Cammarano, B. Kimball, M.J. Ottman, G. Wall, and J.W. White, 2015, Rising temperatures reduce global wheat production, Nature Climate Change, 5: 143–147. Awondo, S.N., 2019, Efficiency of Region-Wide Catastrophic Weather Risk Pools: Implications for African Risk Capacity Insurance Program, Journal of Development Economics, 136: 111–18. https://doi.org/10.1016/j.jdeveco.2018.10.004. Benth, F.E, and J. Saltyte-Benth, 2007, The volatility of temperature and pricing of weather derivatives. Quant Finance, 7(5):553-561. Cao, M., A. Li, and J.Z. Wei, 2004, Precipitation modeling and contract valuation: A frontier in weather derivatives. The Journal of Alternative Investments, 7(2): 93–99. https://doi.org/10.3905/jai.2004.439656. Coble, K. H., T.O. Knight, R.D. Pope, and J.R. Williams, 1997, An Expected-Indemnity Approach to the Measurement of Moral Hazard in Crop Insurance, American Journal of Agricultural Economics, 79(1): 216-226. doi:10.2307/1243955 Doherty, N., and G. Dionne, G., 1993, Insurance with undiversifiable risk: contract structure and organization form of insurance firms, Journal of Risk Uncertainty, 6, 187–203. Duncan, J., and R. J. Myers, 2000, Crop Insurance Under Catastrophic Risk, American Journal of Agricultural Economics, 82(4): 842–855. doi: 10.1111/0002-9092.00085 Feng, X., and D. Hayes, 2016, Diversifying systemic risk in agriculture. Agricultural Finance Review, 76(4): 512-531. doi:10.1108/afr-06-2016-0061 Forbes, C., Evans, M., Hastings, N., & Peacock, B. (2011). Statistical distributions. Hoboken: Wiley. Glauber, J.W., 2004, Crop Insurance Reconsidered, American Journal of Agricultural Economics, 86(5): 1179-1195. Goodwin, B. K., 2001, Problems With Market Insurance in Agriculture, American Journal of Agricultural Economics, 83(3): 643-649. doi:10.1111/0002-9092.00184 Goodwin, B. K., and A. Hungerford, 2014, Copula‐Based Models of Systemic Risk in U.S. Agriculture: Implications for Crop Insurance and Reinsurance Contracts. American Journal of Agricultural Economics, 97(3): 879-896. doi:10.1093/ajae/aau086 Hess U, K. Richter, and A. Stoppa, 2002, Weather risk management for agriculture and agri-business in developing countries, in: R. S. Dischel, ed., Climate risk and the weather market: financial risk management with weather hedges (London: Risk Books), pp. 295-310. Holly Wang, H., and H. Zhang, 2003, On the Possibility of a Private Crop Insurance Market: A Spatial Statistics Approach, The Journal of Risk and Insurance, 70(1): 111–24. https://doi.org/10.1111/1539-6975.00051. Kölle, W., A.M. Salgueiro, M. Buchholz, and O. Musshoff, 2020, Can satellite‐based weather index insurance improve the hedging of yield risk of perennial non‐irrigated olive trees in Spain?*. Australian Journal of Agricultural and Resource Economics, 65(1): 66-93. doi:10.1111/1467-8489.12403 Kordi, K., 2012, Pricing Weather Derivatives (Unpublished master’s thesis). Department of Banking and Financial Management, University of Piraeus, Piraeus, Greece. Leobacher, G., and P. Ngare, 2011, On modelling and pricing rainfall derivatives with seasonality. Applied Mathematical Finance, 18(1): 71–91. https://doi.org/10.1080/13504861003795167. Li, X., J. Ren, B. Niu, and H. Wu, 2020, Grain Area Yield Index Insurance Ratemaking Based on Time–Space Risk Adjustment in China. Sustainability, 12(6), 2491. doi:10.3390/su12062491 Liu, X., Y. Tang, J. Ge, and M. J. Miranda, 2019, Does experience with natural disasters affect willingness-to-pay for weather index insurance? Evidence from China, International Journal of Disaster Risk Reduction, 33: 33–43. doi: 10.1016/j.ijdrr.2018.09.006 Mahul, O., 1999, Optimum Area Yield Crop Insurance, American Journal of Agricultural Economics, 81(1): 75–82. doi: 10.2307/1244451 Mäkinen, H., J. Kaseva, M. Trnka, J. Balek, K.C. Kersebaum, C. Nendel, A. Gobin, et al., 2018, Sensitivity of European Wheat to Extreme Weather, Field Crops Research, 222: 209–17. https://doi.org/10.1016/j.fcr.2017.11.008. Mhanna, M., and W. Bauwens, 2011, A Stochastic Space-Time Model for the Generation of Daily Rainfall in the Gaza Strip, International Journal of Climatology, 32(7): 1098–1112. https://doi.org/10.1002/joc.2305. Miranda, M.J., and C. Gonzalez-Vega, 2010, Systemic Risk, Index Insurance, and Optimal Management of Agricultural Loan Portfolios in Developing Countries, American Journal of Agricultural Economics, 93(2): 399-406. Miranda, M.J., and J.W. Glauber, 1997, Systemic Risk, Reinsurance, and the Failure of Crop Insurance Markets, American Journal of Agricultural Economics, 79(1): 206–215. doi: 10.2307/1243954 Murtagh, F., and P. Legendre, 2014, Ward’s Hierarchical Agglomerative Clustering Method: Which Algorithms Implement Ward’s Criterion?, Journal of Classification, 31(3): 274–95. https://doi.org/10.1007/s00357-014-9161-z. Nguyen-Huy, T, R.C. Deo, D-A An-Vo, S. Mushtaq, S. Khan, 2017, Copula-statistical precipitation forecasting model in Australia’s agro-ecological zones, Agricultural Water Management, 191:153–172. https://doi.org/10.1016/j.agwat.2017.06.010 Nguyen-Huy, T, R.C. Deo, S. Mushtaq, D-A An-Vo, S. Khan, 2018a, Modeling the joint influence of multiple synoptic-scale, climate mode indices on Australian wheat yield using a vine copulabased approach, European Journal of Agronomy, 98:65–81. https://doi.org/10.1016/j. eja.2018.05.006 Nguyen-Huy, T., R.C. Deo, S. Mushtaq, J. Kath, and S. Khan, 2019, Copula Statistical Models for Analyzing Stochastic Dependencies of Systemic Drought Risk and Potential Adaptation Strategies, Stochastic Environmental Research and Risk Assessment, 33(3): 779–99. https://doi.org/10.1007/s00477-019-01662-6. Odening M, O. Mußhoff, W. Xu, 2007, Analysis of rainfall derivatives using daily precipitation models: opportunities and pitfalls, Agricultural Finance Review, 67:135–156. https://doi.org/10.1108/ 00214660780001202 Odening, M., and Z. Shen, 2014, Challenges of insuring weather risk in agriculture, Agricultural Finance Review, 74(2): 188–199. doi:10.1108/afr-11-2013-0039 Okhrin, O., M. Odening, and W. Xu, 2013, Systemic Weather Risk and Crop Insurance: The Case of China, Journal of Risk and Insurance, 80(2): 351–372. doi: 10.1111/j.1539-6975.2012.01476.x Porter, J.R., L. Xie, A.J. Challinor, K. Cochrane, S.M. Howden, M.M. Iqbal, D.B. Lobell, M.I. Travasso, N.C. Netra Chhetri, and K. Garrett, 2014. Food security and food production systems. In: Field, C.B., V.R. Barros, D.J. Dokken, K.J. Mach, M.D. Mastrandrea (Eds.), Climate Change: Impacts, Adaptation, and Vulnerability. Part A: Global and Sectoral Aspects. Contribution of Working Group II to the Fifth Assessment Report of the Intergovernmental Panel on Climate Change. Cambridge University Press, Cambridge, United Kingdom pp. 485–533. Quiggin, J. C., G. Karagiannis, and J. Stanton, 1993, Crop Insurance And Crop Production: An Empirical Study Of Moral Hazard And Adverse Selection, Australian Journal of Agricultural Economics, 37(2): 95-113. doi:10.1111/j.1467-8489.1993.tb00531.x Ray, D.K., J.S. Gerber, G.K. MacDonald, and P.C. West, 2015, Climate variation explains a third of global crop yield variability, Nature Communications, 6. Rootzén, H., and C. Klüppelberg, 1999, A single number can’t hedge against economic catastrophes, Ambio 28(6): 550–555. Rufat, S., Tate, E., Burton, C.G., and Sayeed Maroof, A, 2015, Social vulnerability to floods: Review of case studies and implications for measurement, International Journal of Disaster Risk Reduction, 14(4): 470-486. https://doi.org/10.1016/j.ijdrr.2015.09.013 Semenov, M.A., and P.R. Shewry, 2011, Modelling Predicts That Heat Stress, Not Drought, Will Increase Vulnerability of Wheat in Europe, Scientific Reports, 1(1). https://doi.org/10.1038/srep00066. Senapati, A. K., 2020, Insuring against climatic shocks: Evidence on farm households’ willingness to pay for rainfall insurance product in rural India, International Journal of Disaster Risk Reduction, 42, 101351. doi: 10.1016/j.ijdrr.2019.101351 Shah, A, 2017, Pricing of rainfall derivatives by modelling multivariate monsoon rainfall distribution using Gaussian and t copulas. SSRN Electronic Journal. doi: 10.2139/ssrn.2778577. Shen, Z., & Odening, M. (2012). Coping with systemic risk in index-based crop insurance. Agricultural Economics, 44(1), 1-13. doi:10.1111/j.1574-0862.2012.00625.x Skees, J. R., and B. J. Barnett, 1999, Conceptual and Practical Considerations for Sharing Catastrophic/Systemic Risks, Applied Economic Perspectives and Policy, 21(2): 424–441. doi: 10.2307/1349889 Skees, J. R., and M.R. Reed, 1986, Rate Making for Farm-Level Crop Insurance: Implications for Adverse Selection, American Journal of Agricultural Economics, 68(3): 653-659. doi:10.2307/1241549 Smith, V. H., and B.K. Goodwin, 1996, Crop Insurance, Moral Hazard, and Agricultural Chemical Use, American Journal of Agricultural Economics, 78(2): 428-438. doi:10.2307/1243714 Stowasser, M., 2012, Modelling rain risk: a multi-order Markov chain model approach, J Risk Finance, 13(1): 45–60. Tang, C., and S. Jang, 2012, Hedging Weather Risk in Nature-Based Tourism Business, Journal of Hospitality & Tourism Research, 36(2): 143-163. doi:10.1177/1096348010388655 Turvey, C. G., and R. Kong, 2010, Weather risk and the viability of weather insurance in Chinas Gansu, Shaanxi, and Henan provinces, China Agricultural Economic Review, 2(1): 5-24. doi:10.1108/17561371011017469 Van Passel, S., E. Massetti, and R. Mendelsohn, 2016, A Ricardian Analysis of the Impact of Climate Change on European Agriculture, Environmental and Resource Economics, 67(4): 725–60. https://doi.org/10.1007/s10640-016-0001-y. Vroege, W., Bucheli, J., Dalhaus, T., Hirschi, M., & Finger, R. (2021). Insuring crops from space: The potential of satellite-retrieved soil moisture to reduce farmers’ drought risk exposure. European Review of Agricultural Economics, 48(2), 266-314. doi:10.1093/erae/jbab010 Wilks, D.S., 1998, Multisite Generalization of a Daily Stochastic Precipitation Generation Model. Journal of Hydrology, 210(1-4): 178–91. https://doi.org/10.1016/s0022-1694(98)00186-3. Woodard, J. D., and P. García, 2008, Basis risk and weather hedging effectiveness, Agricultural Finance Review, 68(1): 99-117. doi:10.1108/00214660880001221 Woodard, J.D., G.D. Schnitkey, B.J. Sherrick, N. Lozano-Gracia, and L. Anselin, 2012, A Spatial Econometric Analysis of Loss Experience in the U.S. Crop Insurance Program, Journal of Risk and Insurance, 79(1): 261–86. https://doi.org/10.1111/j.1539-6975.2010.01397.x. Xu, W., G. Filler, M. Odening, and O. Okhrin, 2010, On the Systemic Nature of Weather Risk, Agricultural Finance Review, 70(2): 267–84. https://doi.org/10.1108/00021461011065283. Yamai, Y., and T. Yoshiba, 2005, Value-at-Risk versus Expected Shortfall: A Practical Perspective, Journal of Banking & Finance, 29(4): 997–1015. https://doi.org/10.1016/j.jbankfin.2004.08.010. Ye, T., Y. Li, Y. Gao, J. Wang, and M. Yi, 2017, Designing index-based livestock insurance for managing snow disaster risk in Eastern Inner Mongolia, China, International Journal of Disaster Risk Reduction, 23: 160–168. doi: 10.1016/j.ijdrr.2017.04.013 Zapranis, A.D., and A.K Alexandridis, 2006, Wavelet analysis of weather derivatives pricing. Paper presented at the 5th Hellenic Finance and Accounting Association (HFAA), Thessaloniki, 15-16 Dec. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/119924 |