A recursive algorithm for selling at the ultimate maximum in regime-switching models
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چکیده
Abstract We propose a recursive algorithm for the numerical computation of the optimal value function inft≤τ≤T IE [ sup0≤s≤T Ys/Yτ ∣∣Ft] over the stopping times τ with respect to the filtration of a geometric Brownian motion Yt with Markovian regime switching. This method allows us to determine the boundary functions of the optimal stopping set when no associated Volterra integral equation is available. It applies in particular when regime-switching drifts have mixed signs, in which case the boundary functions may not be monotone.
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تاریخ انتشار 2017