Pricing of Commodity and Energy Derivatives for Polynomial Processes
نویسندگان
چکیده
Operating in energy and commodity markets require a management of risk using derivative products such as forward futures, well options on these. Many the popular stochastic models for spot dynamics weather variables developed from empirical studies belong to class polynomial jump diffusion processes. We derive tailor-made framework efficient approximation main derivatives encountered markets, encompassing wide range arithmetic geometric models. Our analysis accounts seasonality effects, delivery periods forwards exotic temperature where underlying “spot” is nonlinear function temperature. also include our derivations spread, Asian quanto options.
منابع مشابه
Unspanned stochastic volatility and the pricing of commodity derivatives
Commodity derivatives are becoming an increasingly important part of the global derivatives market. Here we develop a tractable stochastic volatility model for pricing commodity derivatives. The model features unspanned stochastic volatility, quasi-analytical prices of options on futures contracts, and dynamics of the futures curve in terms of a low-dimensional affine state vector. We estimate ...
متن کاملPricing Commodity Derivatives with Basis Risk and Partial Observations
We study the problem of pricing claims written on an over-the-counter energy contract. Because the underlying is illiquid, we work with an indifference pricing framework based on a liquid reference contract. Extending current convenience yield frameworks we propose a two-factor partially observed model for the benchmark asset. Moreover, we incorporate direct modeling of the unhedgeable basis. W...
متن کاملEfficient Pricing of Energy Derivatives
I present a tractable framework, first developed in Trolle and Schwartz (2009), for pricing energy derivatives in the presence of unspanned stochastic volatility. Among the model features are i) a perfect fit to the initial futures term structure, ii) a fast and accurate Fourier-based pricing formula for European-style options on futures contracts, enabling efficient calibration to liquid plain...
متن کاملAbstracts for the conference on ”Energy and Commodity Risk Management and hedging of Commodity Derivatives”
s for the conference on ”Energy and Commodity Risk Management and hedging of Commodity Derivatives” Wolfgang Pauli Institute, Vienna
متن کاملPricing Derivatives on Two-dimensional Lévy Processes∗
The aim of this work is to use a duality approach to study the pricing of derivatives depending on two stocks driven by a bidimensional Lévy process. The main idea is to apply Girsanov’s Theorem for Lévy processes, in order to reduce the posed problem to a problem with one Lévy driven stock in an auxiliary market, baptized as “dual market”. In this way, we extend the results obtained by Gerber ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematics
سال: 2021
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math9020124