| Reference: | [1] Alaton, P., B. Djehince, and D. Stillberg, 2002, "On Modelling and Pricing Weather Derivatives," Applied Mathematical Finance, Vol. 9, 1-20.
[2] Andricopoulos, A. D., M. Widdicks, P. W. Duck, and D. P. Newton, 2003, "Universal Option Valuation Using Quadrature Methods," Journal of Financial Economics, Vol. 67, 447-471.
[3] Andricopoulos, A. D., M. Widdicks, D. P. Newton, and P. W. Duck, 2007, "Extending Quadrature Methods to Value Multi-Asset and Complex Path Dependent Options," Journal of Financial Economics, Vol. 83, 471-499.
[4] Bates, D. S., 2001, "Jumps and Stochastic Volatility: Exchange Rate Processes Implicit in Deutsche Mark Options," Review of Financial Studies, Vol. 9, 69-107.
[5] Barndorff-Nielsen, O. E. and N. Shephard, 2001, "Non-Gaussian Ornstein-Uhlenbeck-Based Models and Some of Their Uses in Financial Economics," Journal of the Royal Statistical Society. Series B, Vol. 63, 167-241.
[6] Bellini, F., 2005, "The Weather Derivatives Market: Modelling and Pricing Temperature," Ph.D. thesis, University of Lugano.
[7] Benth, F. E. and J. Saltyte-Benth, 2005, "Stochastic Modelling of Temperature Variations with a View Towards Weather Derivatives," Applied Mathematical Finance, Vol. 12, 53-85.
[8] Benth, F. E. and J. Saltyte-Benth, 2007, "The Volatility of Temperature and Pricing of Weather Derivatives," Quantitative Finance, Vol. 7, 553-561.
[9] Benth, F. E. and J. Saltyte-Benth, 2011, "Weather Derivatives and Stochastic Modelling of Temperature," International Journal of Stochastic Analysis, Vol. 2011, 1-21.
[10] Bibby, B. M., and M. Sorensen, 1995, "Martingale Estimation Functions for Discretely Observed Diffusion Processes," Bernoulli, Vol. 1, 17-39.
[11] Black, F. and M. Scholes, 1973, "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, Vol. 81, 637-654.
[12] Bollerslev, T, 1986, "Generalized Autoregressive Conditional Heteroscedasticity," Journal of Econometrics, Vol. 31, 307-327.
[13] Brody, D. C., J. Syroka, and M. Zervos, 2002, "Dynamical Pricing of Weather Derivatives," Quantitative Finance, Vol. 2, 189-198.
[14] Campbell, S. D. and F. X. Diebold, 2005, "Weather Forecasting for Weather Derivatives," Journal of the American Statistical Association, Vol. 100, 6-16.
[15] Cao, M. and J. Wei, 1999, "Pricing Weather Derivatives: An Equilibrium Approach," Working Paper, Rotman Graduate School of Management, The University of Toronto.
[16] Cao, M. and J. Wei, 2000, "Pricing the Weather," Risk Weather Risk Special Report, Energy Power Risk Manage, 67-70.
[17] Cao, M. and J. Wei, 2004, "Weather Derivatives Valuation and Market Price of Weather Risk," Journal of Futures Markers, Vol. 24, 1065-1089.
[18] Carpenter, J., P. Clifford, and P. Fearnhead, 1999, "Improved Particle Filter for Nonlinear Problems," Radar, Sonar and Navigation, IEE Proceedings, Vol. 46, 2-7.
[19] Chen, D., H. J. Harkonen, and D. P. Newton, 2014, "Advancing the Universality of Quadrature Methods to any Underlying Process for Option Pricing," Journal of Financial Economics, Vol. 114, 600-612.
[20] Christoffersen, P., K. Jacobs, and K. Mimouni, 2010, "Volatility Dynamics for the S&P500: Evidence from Realized Volatility, Daily Returns, and Option Prices," Review of Financial Studies, Vol. 23, 3141-3189.
[21] Cox, J. C., J. E. Ingersoll, and S. A. Ross , 1985, "A Theory of the Term Structure of Interest Rates," Econometrica, Vol. 53, 385-408.
[22] Davis, M., 2001, "Pricing Weather Derivatives by Marginal Value," Quantitative Finance, Vol. 1, 1-4.
[23] Diebold, F. X., 2001, "Modeling the Persistence of Conditional Variances: A Comment," Econometric Reviews, Vol. 5, 51-56.
[24] Doucet, A., S. Godsill, and C. Andrieu, 2000, "On Sequential Monte Carlo Sampling Methods for Bayesian Filtering," Statistics and Computing, Vol. 10, 197-208.
[25] Duan, J. C., P. Ritchken, and Z. Sun, 2004, "Jump Starting GARCH: Pricing and Hedging Options with Jumps in Returns and Volatilities," Working Paper, University of Toronto and Case Western Reserve University.
[26] Duan, J. C., P. Ritchken, and Z. Sun, 2006, "Approximating GARCH-Jump Models, Jump-Diffusion Processes, and Option Pricing," Mathematical Finance, Vol. 16, 21-52.
[27] Duffie, D., J. Pan, and K. Singleton, 2000, "Transform Analysis and Asset Pricing for Affine Jump-Diffusions," Econometrica, Vol. 68, 1343-1376.
[28] Engle, R. F, 1990, "Stock Volatility and the Crash of `87: Discussion," Review of Financial Studies, Vol. 3, 103-106.
[29] Engle, R. F. and T. Bollerslev, 1986, "Modelling the Persistence of Conditional Variances," Econometric Reviews, Vol. 5, 1-50.
[30] Feller, W, 1951, "Two Singular Diffusion Problems," Annals of Mathematics, Vol. 54, 173-182.
[31] Geweke, J., 1986, "Modeling the Persistence of Conditional Variances: A Comment," Econometric Review, Vol. 5, 57-61.
[32] Glosten, L., R. Jagannathan, and D. Runkle, 1993, "On the Relation between the Expected Value and the Volatility of the Nominal Excess Return on Stocks," Journal of Finance, Vol. 48, 1779-1801.
[33] Godsill, S. J., A. Doucet, and M. West, 2004, "Monte Carlo Smoothing for Nonlinear Time Series," Journal of the American Statistical Association, Vol. 99, 156-168.
[34] Gordon, N. J., D. J. Salmond, and A. F. M. Smith, 1993, "Novel Approach to Nonlinear/Non-Gaussian Bayesian State Estimation," Radar and Signal Processing, IEE Proceedings F, Vol. 140, 107-113.
[35] Heston, S. L, 1993, "A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options," Review of Financial Studies, Vol. 6, 327-343.
[36] Heston, S. L. and S. Nandi, 2000, "The Closed-Form GARCH Option Valuation Model," Review of Financial Studies, Vol. 13, 585-625.
[37] Huang, H. H., Y. M. Shiu, and P. S. Lin, 2008, "HDD and CDD Option Pricing with Market Price of Weather Risk for Taiwan," Journal of Futures Markets, Vol. 28, 790-814.
[38] Hull, J. and A, White, 1990, "Pricing Interest-Rate-Derivative Securities," Review of Financial Studies, Vol. 3, 573-592.
[39] Lau, K. M. and H.Weng, 1995, "Climate Signal Detection UsingWavelet Transform: How to Make a Time Series Sing," Bulletin of the American Meteorological Society, Vol. 76, 2391-2402.
[40] Liu, J. S., R. Chen, and W. H. Wong, 1998, "Rejection Control For Sequential Importance Sampling," Journal of the American Statistical Association, Vol. 93, 1022-1031.
[41] Lucas, R. E., 1978, "Asset Prices in an Exchange Economy," Econometrica, Vol. 46, 1429-1445.
[42] Morlet, J., 1983, "Sampling Theory and Wave Propagation," NATO ASI Series, Vol. 1, Springer, 233-261.
[43] Nelson, D., 1990, "Conditional Heteroskedasticity in Asset Returns: A New Approach," Econometrica, Vol. 59, 347-370.
[44] Nelson, D. B. and S. P. Foster, 1994, "Asymptotic Filtering Theory for Univariate Arch Models," Econometrica, Vol. 62, 1-41.
[45] Pillaya, E. and J.G. O`Hara, 2011, "FFT Based Option Pricing under A Mean Reverting Process with Stochastic Volatility and Jumps," Journal of Computational and Applied Mathematics, Vol. 235, 3378-3384.
[46] Pitt, M. K. and N. Shephard, 1999, "Filtering via Simulation: Auxiliary Particle Filters," Journal of the American Statistical Association, Vol. 94, 590-599.
[47] Schwert, G. W, 1990, "Stock Volatility and the Crash of `87," Review of Financial Studies, Vol. 3, 77-102.
[48] Sentana, E., 1995, "Quadratic ARCH Models," Review of Economic Studies, Vol. 62, 639-661.
[49] Vasicek, O. A., 1977, "An Equilibrium Characterization of the Term Structure," Journal of Financial Economics, Vol. 5, 177-188.
[50] Wong, H. Y. and Y. W. Lo, 2009, "Option Pricing with Mean Reversion and Stochastic Volatility," European Journal of Operational Research, Vol. 197, 179-187.
[51] Zakoian, J., 1994, "Threshold Heteroskedastic Models," Journal of Economic Dynamics and Control, Vol. 18, 931-955.
[52] Zapranis, A. and A. Alexandridis, 2008, "Modelling the Temperature Time Dependent Speed of Mean Reversion in the Context of Weather Derivatives Pricing," Applied Mathematical Finance, Vol. 15, 355-368.
[53] Zapranis, A. and A. Alexandridis, 2009a, "Modeling and Forecasting CAT and HDD Indices For Weather Derivative Pricing," In: EANN 2009, London, Springer, 210-222.
[54] Zapranis, A. and A. Alexandridis, 2009b, "Weather Derivatives Pricing: Modeling the Seasonal Residual Variance of an Ornstein-Uhlenbeck Temperature Process with Neural Networks," Neurocomputing, Vol. 73, 37-48. |
