Before revision:  As a corollary, we provide the solution to the optimal stopping problem \tau\in\mathcal{T_{0,T}}EB_{(\tau-\eps)^+} recently posed by Shiryaev at the International Conference on Advanced Stochastic Optimization URLanized by the Steklov Institute of Mathematics in September 2012. \eps
After revision:  As a corollary, we provide the solution to the optimal stopping problem \tau\in\mathcal{T_{0,T}}EB_{(\tau-\eps)^+} recently posed by Shiryaev at the International Conference on Advanced Stochastic Optimization URLanized by the Steklov Institute of Mathematics in September 2012. We also provide its asymptotic order as\eps