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Contribution Details

Type Master's Thesis
Scope Discipline-based scholarship
Title Why is American Option Pricing so Complicated?
Organization Unit
Authors
  • Valentin Geoffroy
Supervisors
  • Erich Walter Farkas
  • Ludovic Mathys
Language
  • English
Institution University of Zurich
Faculty Faculty of Business, Economics and Informatics
Number of Pages 103
Date 2020
Abstract Text American option pricing requires to solve an optimal stopping problem with no known exact closed-form solution. The option price computation essentially centers around determining the time dependent so-called early exercise boundary. Modelling the underlying process as a geometric Brownian motion, we propose a novel closed formula to approximate the early exercise boundary within a framework with both continuous and discrete dividends. Applying this result, we suggest an extended local volatility formula to calibrate American option market prices and overcome the limitations of our initial underlying model assumptions.
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