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The following theorem is a corollary of Theorem 1.4.3.

Theorem 1.5.3. Let the modulated autoregressive log-price process is defined by the vector modulated stochastic difference equation (1.139), while the corresponding approximating space-skeleton log-price process is defined, for every ε ∈ (0,ε₀], by the stochastic transition dynamic relation (1.169). Let also conditions holds for some vector parameter with non-negative components, and, also, ...