Deep Equal Risk Pricing of Financial Derivatives with Non-Translation Invariant Risk Measures

Alexandre Carbonneau and Frédéric Godin ()
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Alexandre Carbonneau: Department of Mathematics and Statistics, Concordia University, Montréal, QC H3G 1M8, Canada
Frédéric Godin: Department of Mathematics and Statistics, Concordia University, Montréal, QC H3G 1M8, Canada

Risks, 2023, vol. 11, issue 8, 1-27

Abstract: The objective is to study the use of non-translation invariant risk measures within the equal risk pricing (ERP) methodology for the valuation of financial derivatives. The ability to move beyond the class of convex risk measures considered in several prior studies provides more flexibility within the pricing scheme. In particular, suitable choices for the risk measure embedded in the ERP framework, such as the semi-mean-square-error (SMSE), are shown herein to alleviate the price inflation phenomenon observed under the tail value at risk-based ERP as documented in previous work. The numerical implementation of non-translation invariant ERP is performed through deep reinforcement learning, where a slight modification is applied to the conventional deep hedging training algorithm so as to enable obtaining a price through a single training run for the two neural networks associated with the respective long and short hedging strategies. The accuracy of the neural network training procedure is shown in simulation experiments not to be materially impacted by such modification of the training algorithm.

Keywords: finance; option pricing; hedging; reinforcement learning; deep learning (search for similar items in EconPapers)
JEL-codes: C G0 G1 G2 G3 K2 M2 M4 (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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