英文标题:
《Revisiting a Theorem of L.A. Shepp on Optimal Stopping》
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作者:
Philip Ernst and Larry Shepp
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最新提交年份:
2016
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英文摘要:
Using 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.
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中文摘要:
以一个试图决定何时出售债券的债券持有人为例,我们回顾了拉里·谢普关于最优停止的经典定理。我们从{Shepp}给出了定理1的一个新证明。我们的方法是猜测最优控制函数并用鞅证明其最优性。没有鞅理论,人们很难证明我们的猜测是正确的。
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分类信息:
一级分类:Quantitative Finance 数量金融学
二级分类:Mathematical Finance 数学金融学
分类描述:Mathematical and analytical methods of finance, including stochastic, probabilistic and functional analysis, algebraic, geometric and other methods
金融的数学和分析方法,包括随机、概率和泛函分析、代数、几何和其他方法
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