Abstract Using stochastic flows, probabilistic solutions of Markovian, regime-switching, forward and backward Kolmogorov's equations are discussed. These equations may be related to some pricing equations in mathematical finance. Their solutions… Click to show full abstract
Abstract Using stochastic flows, probabilistic solutions of Markovian, regime-switching, forward and backward Kolmogorov's equations are discussed. These equations may be related to some pricing equations in mathematical finance. Their solutions are derived by differentiating a family of conditional expectations.
               
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