Lookback option pricing under the double Heston model using a deep learning algorithm

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作者
Mahsa Motameni
Farshid Mehrdoust
Ali Reza Najafi
机构
[1] Department of Applied Mathematics,
[2] Faculty of Mathematical Sciences University of Guilan,undefined
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关键词
Double Heston PDE; Lookback option pricing; Deep Galerkin method; Monte Carlo simulation; G13; G22; 91B70;
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摘要
To price floating strike lookback options, we obtain a partial differential equation (PDE) according to the double Heston model. To solve the PDE, we employ a deep learning algorithm called the deep Galerkin method (DGM), which is well-suited for high-dimensional PDEs. Finally, we compare the obtained results from mentioned method with the option price under the Monte Carlo simulation method.
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