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2013 | OriginalPaper | Chapter

10. Precipitation Derivatives

Authors : Antonis K. Alexandridis, Achilleas D. Zapranis

Published in: Weather Derivatives

Publisher: Springer New York

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Abstract

Rainfall is considered to be one of the major factors affecting the yield of farmers and the production of hydroelectric energy generators. On the other hand snowfall affects the revenues of ski industry. Rainfall and snowfall can be accounted as a form of precipitation. The aim of this chapter is to analyze the dynamics of the precipitation process and present a modeling procedure for precipitation. Precipitation modeling is separated in two components. The first step is to model the frequency process of precipitation and the second to model the magnitude process. In this chapter the dynamics of the precipitation generating process are modeled using a Markov chain model that define the frequency process and with a gamma distribution for the magnitude process. Our model is validated in Berlin, and the basis risk in the context of precipitation is also examined. Finally, we provide the pricing framework for rainfall futures.

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Literature
go back to reference Akaike H (1974) New look at statistical-model identification. IEEE Trans Automat Contr AC19(6):716–723CrossRef Akaike H (1974) New look at statistical-model identification. IEEE Trans Automat Contr AC19(6):716–723CrossRef
go back to reference Brockett PL, Wang M, Yang C, Zou H (2006) Portfolio effects and valuation of weather derivatives. Financ Rev 41:55–76CrossRef Brockett PL, Wang M, Yang C, Zou H (2006) Portfolio effects and valuation of weather derivatives. Financ Rev 41:55–76CrossRef
go back to reference Campbell SD, Diebold FX (2005) Weather forecasting for weather derivatives. J Am Stat Assoc 100:6–16CrossRef Campbell SD, Diebold FX (2005) Weather forecasting for weather derivatives. J Am Stat Assoc 100:6–16CrossRef
go back to reference Cao M, Li A, Wei J (2004) Precipitation modeling and contract valuation: a frontier in weather derivatives. J Altern Invest 7(2):92–99 Cao M, Li A, Wei J (2004) Precipitation modeling and contract valuation: a frontier in weather derivatives. J Altern Invest 7(2):92–99
go back to reference Carmona R, Diko P (2005) Pricing precipitation based derivatives. Int J Theor Appl Finance 8(7):959–988CrossRef Carmona R, Diko P (2005) Pricing precipitation based derivatives. Int J Theor Appl Finance 8(7):959–988CrossRef
go back to reference Carr P, Geman H, Madan DB (2001) Pricing and hedging in incomplete markets. J Financ Econ 62:131–167CrossRef Carr P, Geman H, Madan DB (2001) Pricing and hedging in incomplete markets. J Financ Econ 62:131–167CrossRef
go back to reference Coles S, Pericchi LR, Sisson S (2003) A fully probabilistic approach to extreme rainfall modeling. J Hydrol 273:35–50CrossRef Coles S, Pericchi LR, Sisson S (2003) A fully probabilistic approach to extreme rainfall modeling. J Hydrol 273:35–50CrossRef
go back to reference Dischel B (2000) Seeding a rain market. Environ Finance (September):2–4 Dischel B (2000) Seeding a rain market. Environ Finance (September):2–4
go back to reference Dubrovsky M, Buchtele J, Zalud Z (2004) High-frequency and low-frequency variability in stochastic daily weather generator and its effect on agricultural and hydrologic modelling. Clim Change 63:145–179CrossRef Dubrovsky M, Buchtele J, Zalud Z (2004) High-frequency and low-frequency variability in stochastic daily weather generator and its effect on agricultural and hydrologic modelling. Clim Change 63:145–179CrossRef
go back to reference Edwards M, Simmons P (2004) Preliminary results for the measurement of willingness to pay for climate derivatives. In: 48 annual conference of the Australian Agricultural & Resource Economics Society, Melbourne, Australia, February 2004 Edwards M, Simmons P (2004) Preliminary results for the measurement of willingness to pay for climate derivatives. In: 48 annual conference of the Australian Agricultural & Resource Economics Society, Melbourne, Australia, February 2004
go back to reference Goncu A (2011) Modeling and pricing precipitation-based weather derivatives. Financ Math Appl 1(1):9–18 Goncu A (2011) Modeling and pricing precipitation-based weather derivatives. Financ Math Appl 1(1):9–18
go back to reference Leobacher G, Ngare P (2010) On modelling and pricing rainfall derivatives with seasonality. Appl Math Finance 18(1):71–91CrossRef Leobacher G, Ngare P (2010) On modelling and pricing rainfall derivatives with seasonality. Appl Math Finance 18(1):71–91CrossRef
go back to reference Martin WS, Barnett JB, Coble HK (2001) Developing and pricing precipitation insurance. J Agric Resour Econ 26(1):261–274 Martin WS, Barnett JB, Coble HK (2001) Developing and pricing precipitation insurance. J Agric Resour Econ 26(1):261–274
go back to reference Moreno M (2002) Rain risk. Speedwell Weather Derivatives, London Moreno M (2002) Rain risk. Speedwell Weather Derivatives, London
go back to reference Musshoff O, Odening M, Xu W (2006) Modeling and hedging rain risk. In: American Agricultural Economics Association annual meeting, Long Beach, California, 23–26 July 2006 Musshoff O, Odening M, Xu W (2006) Modeling and hedging rain risk. In: American Agricultural Economics Association annual meeting, Long Beach, California, 23–26 July 2006
go back to reference Odening M, Musshoff O, Xu W (2007) Analysis of rainfall derivatives using daily precipitation models: opportunities and pitfalls. Agric Finance Rev 67:135–156CrossRef Odening M, Musshoff O, Xu W (2007) Analysis of rainfall derivatives using daily precipitation models: opportunities and pitfalls. Agric Finance Rev 67:135–156CrossRef
go back to reference Oetomo T, Stevenson M (2005) Hot or cold? A comparison of different approaches to the pricing of weather derivatives. J Emerg Mark Finance 4(2):101–133CrossRef Oetomo T, Stevenson M (2005) Hot or cold? A comparison of different approaches to the pricing of weather derivatives. J Emerg Mark Finance 4(2):101–133CrossRef
go back to reference Richards TJ, Manfredo MR, Sanders DR (2004) Pricing weather derivatives. Am J Agric Econ 4(86):1005–1017CrossRef Richards TJ, Manfredo MR, Sanders DR (2004) Pricing weather derivatives. Am J Agric Econ 4(86):1005–1017CrossRef
go back to reference Schoof JT, Pryor SC (2008) On the proper order of Markov chain model for daily precipitation occurrence in the contiguous United States. J Appl Meteorol Climatol 47(9):2477–2486. doi:10.1175/2008jamc1840.1 CrossRef Schoof JT, Pryor SC (2008) On the proper order of Markov chain model for daily precipitation occurrence in the contiguous United States. J Appl Meteorol Climatol 47(9):2477–2486. doi:10.​1175/​2008jamc1840.​1 CrossRef
go back to reference Simmons P, Edwards M, Byrne J (2007) Willingness to pay for weather derivatives by Australian wheat farmers. In: European Association of Agricultural Economists, 101st seminar, Berlin, 5–6 July 2007 Simmons P, Edwards M, Byrne J (2007) Willingness to pay for weather derivatives by Australian wheat farmers. In: European Association of Agricultural Economists, 101st seminar, Berlin, 5–6 July 2007
go back to reference Stowasser M (2012) Modelling rain risk: a multi-order Markov chain model approach. J Risk Finance 13(1):45–60CrossRef Stowasser M (2012) Modelling rain risk: a multi-order Markov chain model approach. J Risk Finance 13(1):45–60CrossRef
go back to reference Vedenov DV, Miranda MJ (2001) Rainfall insurance for midwest crop production. American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association) Vedenov DV, Miranda MJ (2001) Rainfall insurance for midwest crop production. American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association)
go back to reference Wilks DS (1999) Multisite downscaling of daily precipitation with a stochastic weather generator. Clim Res 11:125–136CrossRef Wilks DS (1999) Multisite downscaling of daily precipitation with a stochastic weather generator. Clim Res 11:125–136CrossRef
go back to reference Wilks DS (2011) Statistical methods in the atmospheric sciences, vol 100, 3rd edn, International geophysics series. Academic, Oxford, UK Wilks DS (2011) Statistical methods in the atmospheric sciences, vol 100, 3rd edn, International geophysics series. Academic, Oxford, UK
go back to reference Williams PM (1998) Modelling seasonality and trends in daily rainfall data. Paper presented at the proceedings of the 1997 conference on advances in neural information processing systems, vol 10, Denver Williams PM (1998) Modelling seasonality and trends in daily rainfall data. Paper presented at the proceedings of the 1997 conference on advances in neural information processing systems, vol 10, Denver
go back to reference Xu W, Odening M, Musshof O (2008) Indifference pricing of weather derivatives. Am J Agric Econ 90(4):979–993CrossRef Xu W, Odening M, Musshof O (2008) Indifference pricing of weather derivatives. Am J Agric Econ 90(4):979–993CrossRef
Metadata
Title
Precipitation Derivatives
Authors
Antonis K. Alexandridis
Achilleas D. Zapranis
Copyright Year
2013
Publisher
Springer New York
DOI
https://doi.org/10.1007/978-1-4614-6071-8_10