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来源类型Article
规范类型其他
DOI10.1080/14697688.2015.1114364
Efficient calculation of the Greeks for exponential Lévy processes: an application of measure valued differentiation.
Pflug G; Thoma P
发表日期2016
出处Quantitative Finance 16 (2): 247-257
出版年2016
语种英语
摘要Monte Carlo simulation methods have become more and more important in the financial sector in the past years. In this paper, we introduce a new simulation method for the estimation of the derivatives of prices of financial contracts with respect to (w.r.t.) certain distributional parameters called the ‘Greeks’. In particular, we assume that the underlying financial process is a Lévy-type process in discrete time. Our method is based on the Measure-Valued Differentiation (MVD) approach, which allows representation of derivatives as differences of two processes, called the phantoms. We discuss the applicability of MVD for different types of option pay-offs in combination with different types of models of the underlying and provide a framework for the applicability of MVD for path-dependent pay-off functions, as Lookback Options or Asian Options.
主题Risk & ; Resilience (RISK) ; Risk, Policy and Vulnerability (RPV)
关键词Asian options Estimation of the Greeks Exotic options Lookback option Lévy-Processes Measure valued differentiation
URLhttp://pure.iiasa.ac.at/id/eprint/11927/
来源智库International Institute for Applied Systems Analysis (Austria)
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条目标识符http://119.78.100.153/handle/2XGU8XDN/130541
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Pflug G,Thoma P. Efficient calculation of the Greeks for exponential Lévy processes: an application of measure valued differentiation.. 2016.
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