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Pricing and hedging American-style options with deep learning

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arxiv 1912.11060 v3 pith:4YCPUSTR submitted 2019-12-23 q-fin.CP

Pricing and hedging American-style options with deep learning

classification q-fin.CP
keywords hedgingamerican-stylebounddeepdynamiclearningoptionspricing
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this paper we introduce a deep learning method for pricing and hedging American-style options. It first computes a candidate optimal stopping policy. From there it derives a lower bound for the price. Then it calculates an upper bound, a point estimate and confidence intervals. Finally, it constructs an approximate dynamic hedging strategy. We test the approach on different specifications of a Bermudan max-call option. In all cases it produces highly accurate prices and dynamic hedging strategies with small replication errors.

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