BusinessComputer ScienceFinanceFinancial EconomicsParallel ComputingStochastic ProcessesNumerical Methods For Differential EquationsNumerical Methods In FinanceOption PricingOption Pricing ModelsStochastic CalculusStochastic Differential EquationsBackward Stochastic Differential EquationsGlobal Memory Access PatternsGlobal Memory ManagementKernel OptimizationNumerical Methods For Stochastic Differential EquationsOption Pricing AlgorithmsScientific Computing AccelerationSimulation Acceleration
In this paper, we develop acceleration strategies for option pricing with non-linear Backward Stochastic Differential Equation (BSDE), which appears as a robust and valuable tool in financial markets. An efficient binomial lattice based method is adopted to solve the BSDE numerically. In order to reduce the global memory access frequency, the kernel invocation is avoided to be performed on each time step. Furthermore, for evaluating the affect of load balance to the performance, we provide two different acceleration strategies and compare them with running time experiments. The acceleration algorithms exhibit tremendous speedup over the sequential CPU implementation and therefore suitable for real-time application.
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The Pricing of Options and Corporate Liabilities
Fischer Black, Myron S. Scholes · Journal of Political Economy · 1973 · 29.4K citations
Backward Stochastic Differential Equations in Finance
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Engineering, Economics, Finance +10
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