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Pricing weather derivatives with the market price of risk extracted from the utility indifference valuation

Journal Article


Abstract


  • © 2020 Elsevier Ltd In this paper, a PDE (partial differential equation) based approach is presented to price weather derivatives with the market price of risk extracted from the utility indifference valuation. Assuming that the underlying temperature follows an Ornstein–Uhlenbeck process, the PDEs associated with the utility indifference valuation are established and then solved numerically using a one-sided finite difference scheme. The solution procedure is validated through numerical experiments for the utility indifference futures prices, and then applied to price more complicated weather derivatives such as options.

Publication Date


  • 2020

Citation


  • Li, P., Lu, X. & Zhu, S. (2020). Pricing weather derivatives with the market price of risk extracted from the utility indifference valuation. Computers and Mathematics with Applications,

Scopus Eid


  • 2-s2.0-85080940238

Place Of Publication


  • United Kingdom

Abstract


  • © 2020 Elsevier Ltd In this paper, a PDE (partial differential equation) based approach is presented to price weather derivatives with the market price of risk extracted from the utility indifference valuation. Assuming that the underlying temperature follows an Ornstein–Uhlenbeck process, the PDEs associated with the utility indifference valuation are established and then solved numerically using a one-sided finite difference scheme. The solution procedure is validated through numerical experiments for the utility indifference futures prices, and then applied to price more complicated weather derivatives such as options.

Publication Date


  • 2020

Citation


  • Li, P., Lu, X. & Zhu, S. (2020). Pricing weather derivatives with the market price of risk extracted from the utility indifference valuation. Computers and Mathematics with Applications,

Scopus Eid


  • 2-s2.0-85080940238

Place Of Publication


  • United Kingdom