Seasonality in commodity prices: new approaches for pricing plain vanilla options

We present a new term-structure model for commodity futures prices based on Trolle and Schwartz ( 2009 ), which we extend by incorporating seasonal stochastic volatility represented with two different sinusoidal expressions. We obtain a quasi-analytical representation of the characteristic function...

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Veröffentlicht in:Annals of operations research 2024-05, Vol.336 (1-2), p.1089-1131
Hauptverfasser: Frau, Carme, Fanelli, Viviana
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description We present a new term-structure model for commodity futures prices based on Trolle and Schwartz ( 2009 ), which we extend by incorporating seasonal stochastic volatility represented with two different sinusoidal expressions. We obtain a quasi-analytical representation of the characteristic function of the futures log-prices and closed-form expressions for standard European options’ prices using the fast Fourier transform algorithm. We price plain vanilla options on the Henry Hub natural gas futures contracts, using our model and extant models. We obtain higher accuracy levels with our model than with the extant models.
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subjects Agricultural commodities
Algorithms
Arbitrage
Business and Management
Characteristic functions
Combinatorics
Commodities
Commodity prices
Crude oil
Economics
Electricity
Fast Fourier transformations
Fourier transforms
Futures
Natural gas
Natural gas prices
Operations research
Operations Research/Decision Theory
Original Research
Pricing
Seasonal variations
Securities prices
Theory of Computation
Volatility
title Seasonality in commodity prices: new approaches for pricing plain vanilla options
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