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Strict local martingales and the Khasminskii test for explosions

Aditi Dandapani and Philip Protter

Stochastic Processes and their Applications, 2022, vol. 150, issue C, 716-728

Abstract: We exhibit sufficient conditions such that components of a multidimensional SDE giving rise to a local martingale M are strict local martingales or martingales. We assume that the equations have diffusion coefficients of the form σ(Mt,vt), with vt being a stochastic volatility term.

Date: 2022
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DOI: 10.1016/j.spa.2019.03.009

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