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22 March 2025
 
  » arxiv » 1605.0762

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Revisiting a Theorem of L.A. Shepp on Optimal Stopping
Philip Ernst ; Larry Shepp ;
Date 3 May 2016
AbstractUsing a bondholder who seeks to determine when to sell his bond as our motivating example, we revisit one of Larry Shepp’s classical theorems on optimal stopping. We offer a novel proof of Theorem 1 from from cite{Shepp}. Our approach is that of guessing the optimal control function and proving its optimality with martingales. Without martingale theory one could hardly prove our guess to be correct.
Source arXiv, 1605.0762
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