Pricing commodity swing options

33 Pages Posted: 20 Feb 2020

Date Written: January 24, 2020


In commodity and energy markets swing options allow the buyer to hedge against futures price fluctuations and to select its preferred delivery strategy within daily or periodic constraints, possibly fixed by observing quoted futures contracts. In this paper we focus on the natural gas market and we present a dynamical model for commodity futures prices able to calibrate liquid market quotes and to imply the volatility smile for futures contracts with different delivery periods. We implement the numerical problem by means of a least-square Monte Carlo simulation and we investigate alternative approaches based on reinforcement learning algorithms.

Keywords: Commodity, Swing Option, Volatility Smile, Local Volatility, Least-Square Monte Carlo, Reinforcement Learning, Proximal Policy Optimization

JEL Classification: C63, G13

Suggested Citation

Daluiso, Roberto and Nastasi, Emanuele and Pallavicini, Andrea and Sartorelli, Giulio, Pricing commodity swing options (January 24, 2020). Available at SSRN: or

Roberto Daluiso

Banca IMI ( email )

Largo Mattioli 2
Milano, 20100

Emanuele Nastasi

Marketz S.p.A. ( email )

Corso Europa 2
Milan, 20121

Andrea Pallavicini (Contact Author)

Intesa Sanpaolo ( email )

Largo Mattioli 3
Milan, MI 20121

Giulio Sartorelli

Banca IMI ( email )

Largo Mattioli,3
Milano, 20121

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