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Calibration to American options: numerical investigation of the de-Americanization method

机译:校准美式期权:去美化方法的数值研究

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摘要

American options are the reference instruments for the model calibration of a large and important class of single stocks. For this task, a fast and accurate pricing algorithm is indispensable. The literature mainly discusses pricing methods for American options that are based on Monte Carlo, tree and partial differential equation methods. We present an alternative approach that has become popular under the name de-Americanization in the financial industry. The method is easy to implement and enjoys fast run-times (compared to a direct calibration to American options). Since it is based on ad hoc simplifications, however, theoretical results guaranteeing reliability are not available. To quantify the resulting methodological risk, we empirically test the performance of the de-Americanization method for calibration. We classify the scenarios in which de-Americanization performs very well. However, we also identify the cases where de-Americanization oversimplifies and can result in large errors.
机译:美式期权是对大型重要类别的单一股票进行模型校准的参考工具。对于此任务,快速准确的定价算法必不可少。文献主要讨论了基于蒙特卡洛,树和偏微分方程方法的美国期权定价方法。我们提出了一种替代方法,该方法已在金融行业中以去美国化为名流行。该方法易于实施且运行时间短(与直接对美式选件进行标定相比)。但是,由于它是基于临时简化的,因此无法获得保证可靠性的理论结果。为了量化由此产生的方法学风险,我们根据经验测试了非美国化方法的校准性能。我们对去美国化效果很好的情况进行了分类。但是,我们还确定了非美国化过分简化并可能导致较大错误的情况。

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