منابع مشابه
A Forward Scheme for Backward SDEs
We introduce a forward scheme to simulate backward SDEs. Compared to existing schemes, we avoid high order nestings of conditional expectations backwards in time. In this way the error, when approximating the conditional expectation, in dependence of the time partition is significantly reduced. Besides this generic result, we present an implementable algorithm and provide an error analysis for ...
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Abstract This paper studies a class of forward-backward stochastic differential equations (FBSDE) in a general Markovian framework. The forward SDE represents a large class of strong Markov semimartingales, and the backward generator requires only mild regularity assumptions. The authors show that the Four Step Scheme introduced by Ma, et al. (1994) is still effective in this case. Namely, the ...
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In this paper we are interested in the well-posedness of a class of fully coupled forward-backward SDE (FBSDE) in which the forward drift coefficient is allowed to be discontinuous with respect to the backward component of the solution. Such an FBSDE is motivated by a practical issue in regime-switching term structure interest rate models, and the discontinuity makes it beyond any existing fram...
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In this paper, we propose a new notion of Forward–Backward Martingale Problem (FBMP), and study its relationship with the weak solution to the forward–backward stochastic differential equations (FBSDEs). The FBMP extends the idea of the well-known (forward) martingale problem of Stroock and Varadhan, but it is structured specifically to fit the nature of an FBSDE. We first prove a general suffi...
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ژورنال
عنوان ژورنال: Stochastic Processes and their Applications
سال: 2007
ISSN: 0304-4149
DOI: 10.1016/j.spa.2007.03.005