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Modeling and Forecasting CAT and HDD Indices for Weather Derivative Pricing

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Engineering Applications of Neural Networks (EANN 2009)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 43))

Abstract

In this paper, we use wavelet neural networks in order to model a mean-reverting Ornstein-Uhlenbeck temperature process, with seasonality in the level and volatility. We forecast up to two months ahead out of sample daily temperatures and we simulate the corresponding Cumulative Average Temperature and Heating Degree Day indices. The proposed model is validated in 8 European and 5 USA cities all traded in Chicago Mercantile Exchange. Our results suggest that the proposed method outperforms alternative pricing methods proposed in prior studies in most cases. Our findings suggest that wavelet networks can model the temperature process very well and consequently they constitute a very accurate and efficient tool for weather derivatives pricing. Finally, we provide the pricing equations for temperature futures on Heating Degree Day index.

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References

  1. Challis, S.: Bright Forecast for Profits, Reactions. June edn. (1999)

    Google Scholar 

  2. Hanley, M.: Hedging the Force of Nature. Risk Professional 1, 21–25 (1999)

    Google Scholar 

  3. Ceniceros, R.: Weather derivatives running hot. Business Insurance 40 (2006)

    Google Scholar 

  4. Jewson, S., Brix, A., Ziehmann, C.: Weather Derivative Valuation: The Meteorological, Statistical, Financial and Mathematical Foundations. Cambridge University Press, Cambridge (2005)

    Book  Google Scholar 

  5. Zapranis, A., Alexandridis, A.: Modelling Temperature Time Dependent Speed of Mean Reversion in the Context of Weather Derivetive Pricing. Applied Mathematical Finance 15, 355–386 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  6. Zapranis, A., Alexandridis, A.: Weather Derivatives Pricing: Modelling the Seasonal Residuals Variance of an Ornstein-Uhlenbeck Temperature Process With Neural Networks. Neurocomputing (accepted, to appear)

    Google Scholar 

  7. Alaton, P., Djehince, B., Stillberg, D.: On Modelling and Pricing Weather Derivatives. Applied Mathematical Finance 9, 1–20 (2000)

    Article  Google Scholar 

  8. Zhang, Q., Benveniste, A.: Wavelet Networks. IEEE Trans. Neural Networks 3, 889–898 (1992)

    Article  Google Scholar 

  9. Benth, F.E., Saltyte-Benth, J.: The volatility of temperature and pricing of weather derivatives. Quantitative Finance 7, 553–561 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  10. Daubechies, I.: Ten Lectures on Wavelets. SIAM, Philadelphia (1992)

    Book  MATH  Google Scholar 

  11. Mallat, S.G.: A Wavelet Tour of Signal Processing. Academic Press, San Diego (1999)

    MATH  Google Scholar 

  12. Zapranis, A., Alexandridis, A.: Wavelet analysis and weather derivatives pricing. HFFA, Thessaloniki (2006)

    Google Scholar 

  13. Oussar, Y., Dreyfus, G.: Initialization by Selection for Wavelet Network Training. Neurocomputing 34, 131–143 (2000)

    Article  MATH  Google Scholar 

  14. Zapranis, A., Alexandridis, A.: Model Identification in Wavelet Neural Networks Framework. In: Iliadis, L., Vlahavas, I., Bramer, M. (eds.) Artificial Intelligence Applications and Innovations III. IFIP, vol. 296, pp. 267–277. Springer, New York (2009)

    Chapter  Google Scholar 

  15. Cao, M., Wei, J.: Pricing the weather. In: Risk Weather Risk Special Report, Energy And Power Risk Management, pp. 67–70 (2000)

    Google Scholar 

  16. Davis, M.: Pricing weather derivatives by marginal value. Quantitative Finance 1, 1–4 (2001)

    MathSciNet  Google Scholar 

  17. Dornier, F., Queruel, M.: Caution to the wind. Weather risk special report. In: Energy Power Risk Management, pp. 30–32 (2000)

    Google Scholar 

  18. Moreno, M.: Riding the temp. Weather Derivatives. FOW Special Support (2000)

    Google Scholar 

  19. Caballero, R., Jewson, S., Brix, A.: Long Memory in Surface Air Temperature: Detection Modelling and Application to Weather Derivative Valuation. Climate Research 21, 127–140 (2002)

    Article  Google Scholar 

  20. Brody, C.D., Syroka, J., Zervos, M.: Dynamical Pricing of Weather Derivatives. Quantitave Finance 2, 189–198 (2002)

    Article  MathSciNet  Google Scholar 

  21. Benth, F.E., Saltyte-Benth, J.: Stochastic Modelling of Temperature Variations With a View Towards Weather Derivatives. Applied Mathematical Finance 12, 53–85 (2005)

    Article  MATH  Google Scholar 

  22. Oussar, Y., Rivals, I., Presonnaz, L., Dreyfus, G.: Trainning Wavelet Networks for Nonlinear Dynamic Input Output Modelling. Neurocomputing 20, 173–188 (1998)

    Article  MATH  Google Scholar 

  23. Zhang, Q.: Using Wavelet Network in Nonparametric Estimation. IEEE Trans. Neural Networks 8, 227–236 (1997)

    Article  Google Scholar 

  24. Postalcioglu, S., Becerikli, Y.: Wavelet Networks for Nonlinear System Modelling. Neural Computing & Applications 16, 434–441 (2007)

    Article  MATH  Google Scholar 

  25. Xu, J., Ho, D.W.C.: A Basis Selection Algorithm for Wavelet Neural Networks. Neurocomputing 48, 681–689 (2002)

    Article  MATH  Google Scholar 

  26. Gao, R., Tsoukalas, H.I.: Neural-wavelet Methodology for Load Forecasting. Journal of Intelligent & Robotic Systems 31, 149–157 (2001)

    Article  MATH  Google Scholar 

  27. Xu, J., Ho, D.W.C.: A constructive algorithm for wavelet neural networks. In: Wang, L., Chen, K., S. Ong, Y. (eds.) ICNC 2005. LNCS, vol. 3610, pp. 730–739. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  28. Benth, F.E., Saltyte-Benth, J., Koekebakker, S.: Putting a price on temperature. Scandinavian Journal of Statistics 34, 746–767 (2007)

    MathSciNet  MATH  Google Scholar 

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Zapranis, A., Alexandridis, A. (2009). Modeling and Forecasting CAT and HDD Indices for Weather Derivative Pricing. In: Palmer-Brown, D., Draganova, C., Pimenidis, E., Mouratidis, H. (eds) Engineering Applications of Neural Networks. EANN 2009. Communications in Computer and Information Science, vol 43. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03969-0_20

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  • DOI: https://doi.org/10.1007/978-3-642-03969-0_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-03968-3

  • Online ISBN: 978-3-642-03969-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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