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In this short note we derive an exact simulation scheme for the joint distribution of (r(t),N(t)), where r denotes the … generate biases if the model uses larger simulation time-steps.Large time-step simulation of short rate models and the American …
Persistent link: https://www.econbiz.de/10012998214
In this paper we present an efficient implementation of automatic differentiations of random variables (see 'https://ssrn.com/abstract=2995695' https://ssrn.com/abstract=2995695).Using this implementation can increase the speed of the calculation of the automatic differentiation and reduce the...
Persistent link: https://www.econbiz.de/10012950879
One-way coupling often occurs in multi-dimensional stochastic models in finance. In this paper, we develop a highly efficient Monte Carlo (MC) method for pricing European options under a N-dimensional one-way coupled model, where N is arbitrary. The method is based on a combination of (i) the...
Persistent link: https://www.econbiz.de/10013029894
This first part of this presentation gives an introduction to stochastic automatic differentiation and its application.The second part of the presentation introduces a simple "static hedge" approximation for an SIMM based MVA and compares it with an exact solution (where the exact solution was...
Persistent link: https://www.econbiz.de/10012909792
integrand are given by some stochastic differential equation. We also propose numerical simulation of stochastic differential … integrals terms at the initial time of the simulation along with the solution of the stochastic integrals which is found in … terms of Hermite polynomials and variance of the integrals. We apply the method of iterated integrals to simulation of …
Persistent link: https://www.econbiz.de/10012925940
We consider second, third, fourth and fifth order stochastic dominance (SSD, TSD, FOSD and FISD, respectively) as well as decreasing absolute risk aversion (DARA) stochastic dominance (DSD). For comparison with DSD we also consider stochastic dominance (ESD) based on CARA utility functions....
Persistent link: https://www.econbiz.de/10012928166
research, such as queuing theory. Note: this is an earlier version of the work "Efficient Simulation of Generalized SABR and …We propose a novel Monte Carlo simulation method for two-dimensional stochastic differential equation (SDE) systems … based on approximation through continuous-time Markov chains (CTMCs). Specifically, we propose an efficient simulation …
Persistent link: https://www.econbiz.de/10012826668
modified version of the stochastic (backward) automatic differentiation.As a test case we consider a hedge simulation requiring …
Persistent link: https://www.econbiz.de/10012933187
In this paper we re-formulate the automatic differentiation (and in particular, the backward automatic differentiation, also known as adjoint automatic differentiation, AAD) for random variables. While this is just a formal re-interpretation it allows to investigate the algorithms in the...
Persistent link: https://www.econbiz.de/10012933597
how an efficient and exact Monte Carlo simulation of the Hull White and G2++ interest rates models could be performed …
Persistent link: https://www.econbiz.de/10012935570