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A Continuous Time Model to Price Commodity-Based Swing Options
Authors:M.?Dahlgren  author-information"  >  author-information__contact u-icon-before"  >  mailto:dahlgren@maths.lth.se"   title="  dahlgren@maths.lth.se"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author
Affiliation:(1) Mathematics LTH, Centre for Mathematical Sciences, Box 118, SE-221 00 LUND, Sweden
Abstract:On the commodity market there exist contracts which give the holder multiple opportunities to adjust delivery of the underlying commodity. These contracts are often named “Swing” or “take-or-pay” options. They are especially common on the electricity market.In this paper the price of a Swing option on commodities is investigated under the additional constraint of a recovery time between two different exercise times. We give an explicit characterization of the price function as the value function of a continuous stochastic impulse control problem and prove existence of an optimal control. We investigate the connection between the price function and the solution of a system of quasi-variational inequalities. Finally, we present a numerical algorithm for solving the quasi-variational inequalities, and give some numerical examples.JEL Classification: C61, C62, C63
Keywords:optimal stopping problem  HJB quasi-variational inequalities  option pricing  commodity
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