Natural gas storage valuation and optimization under time-inhomogeneous exponential Lévy processes

References

• M. Barlow, Y. Gusev, and M. Lai, Calibration of multifactor models in electricity markets, Int. J. Theoret. Appl. Financ. 7 (2004), pp. 101–120. doi: 10.1142/S0219024904002396
   Google Scholar
• O.E. Barndorff-Nielsen and N. Shephard, Non-Gaussian Ornstein–Uhlenbeck-based models and some of their uses in financial economics, J. R. Statist. Soc: Ser. B (Statist. Methodol.) 63 (2001), pp. 167–241. doi: 10.1111/1467-9868.00282
   Web of Science ®Google Scholar
• F.E. Benth, The stochastic volatility model of Barndorff–Nielsen and Shephard in commodity markets, Math. Financ. 21 (2011), pp. 595–625.
   Web of Science ®Google Scholar
• F.E. Benth, J.S. Benth, and S. Koekebakker, Stochastic Modelling of Electricity and Related Markets, vol. 11, World Scientific, Singapore, 2008.
   Google Scholar
• F.E. Benth, J. Kallsen, and T. Meyer-Brandis, A non-Gaussian Ornstein–Uhlenbeck process for electricity spot price modeling and derivatives pricing, Appl. Math. Financ. 14 (2007), pp. 153–169. doi: 10.1080/13504860600725031
   Google Scholar
• F.E. Benth and J. Šaltyte-Benth, The normal inverse Gaussian distribution and spot price modelling in energy markets, Int. J. Theoret. Appl. Financ. 7 (2004), pp. 177–192. doi: 10.1142/S0219024904002360
   Google Scholar
• F.E. Benth and L. Vos, Pricing of forwards and options in a multivariate non-Gaussian stochastic volatility model for energy markets, Adv. Appl. Probab. 45 (2013), pp. 572–594. doi: 10.1017/S0001867800006443
   Web of Science ®Google Scholar
• P. Bjerksund, G. Stensland, and F. Vagstad, Gas storage valuation: Price modelling v. optimization methods, Optimization Methods (October 17, 2008). NHH Dept. of Finance & Management Science Discussion Paper, 2008.
   Google Scholar
• A. Boogert and C. De Jong, Gas storage valuation using a Monte Carlo method, J. Derivatives 15 (2008), pp. 81–98. doi: 10.3905/jod.2008.702507
   Web of Science ®Google Scholar
• A. Boogert and C. de Jong, Gas storage valuation using a multifactor price process, J. Energy Mark. 4 (2011), pp. 29–52.
   Google Scholar
• F. Bouchut and H. Frid, Finite difference schemes with cross derivatives correctors for multidimensional parabolic systems, J. Hyperbolic Differ. Equ. 3 (2006), pp. 27–52. doi: 10.1142/S0219891606000719
   Web of Science ®Google Scholar
• R. Carmona and M. Ludkovski, Valuation of energy storage: An optimal switching approach, Quant. Financ. 10 (2010), pp. 359–374. doi: 10.1080/14697680902946514
   Web of Science ®Google Scholar
• Z. Chen and P.A. Forsyth, A semi-Lagrangian approach for natural gas storage valuation and optimal operation, SIAM J. Scient. Comput. 30 (2007), pp. 339–368. doi: 10.1137/060672911
   Web of Science ®Google Scholar
• Z. Chen and P.A. Forsyth, Implications of a regime-switching model on natural gas storage valuation and optimal operation, Quant. Financ. 10 (2010), pp. 159–176. doi: 10.1080/14697680802374791
   Web of Science ®Google Scholar
• R. Cont and P. Tankov, Financial Modelling with Jump Processes, CRC Press, Boca Raton, 2003.
   Google Scholar
• R. Cont and E. Voltchkova, A finite difference scheme for option pricing in jump diffusion and exponential Lévy models, SIAM J. Numer. Anal. 43 (2005), pp. 1596–1626. doi: 10.1137/S0036142903436186
   Web of Science ®Google Scholar
• A.K. Dixit and R.S. Pindyck, Investment Under Uncertainty, Princeton University Press, Princeton, NJ, 1994.
   Google Scholar
• E. Eberlein and U. Keller, Hyperbolic distributions in finance, Bernoulli (1995), pp. 281–299. doi: 10.2307/3318481
   Google Scholar
• A. Eydeland and K. Wolyniec, Energy and Power Risk Management: New Developments in Modeling, Pricing, and Hedging, Vol. 206, John Wiley & Sons, Hoboken, NJ, 2003.
   Google Scholar
• J. Gray and P. Khandelwal, Towards a realistic gas storage model, Commodities Now (2004), pp. 1–4.
   Google Scholar
• J.D. Hamilton, Analysis of time series subject to changes in regime, J. Econ. 45 (1990), pp. 39–70. doi: 10.1016/0304-4076(90)90093-9
   Web of Science ®Google Scholar
• P. Henaff, I. Laachir, and F. Russo, Gas storage valuation and hedging. A quantification of the model risk, 2013, arXiv preprint arXiv:1312.3789.
   Google Scholar
• J. Jacod and A. Shiryaev, Limit Theorems for Stochastic Processes, Vol. 288, Springer Science & Business Media, Berlin, 2013.
   Google Scholar
• F.A. Longstaff and E.S. Schwartz, Valuing American options by simulation: A simple least-squares approach, Rev. Financ. Stud. 14 (2001), pp. 113–147. doi: 10.1093/rfs/14.1.113
   Web of Science ®Google Scholar
• C. Parsons, Quantifying natural gas storage optionality: A two-factor tree model, J. Energy Mark. 6 (2013), pp. 95–124.
   Google Scholar
• E.S. Schwartz, The stochastic behavior of commodity prices: Implications for valuation and hedging, J. Financ. 52 (1997), pp. 923–973. doi: 10.1111/j.1540-6261.1997.tb02721.x
   Web of Science ®Google Scholar
• A. Smith, A. Doucet, N. de Freitas, and N. Gordon, Sequential Monte Carlo Methods in Practice, Springer Science & Business Media, New York, 2013.
   Google Scholar
• M. Thompson, M. Davison, and H. Rasmussen, Natural gas storage valuation and optimization: A real options application, Naval Res. Logist. 56 (2009), pp. 226–238. doi: 10.1002/nav.20327
   Web of Science ®Google Scholar