解读利率和债券期货期权的微笑:PIBOR和名义运营商如何欣赏1997年法国提前选举

S. Coutant, E. Jondeau, M. Rockinger
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引用次数: 152

摘要

本文的目的是比较从PIBOR和名义利率期货期权中提取风险中性密度(RND)的各种方法,并研究交易者对政治事件的反应。我们首先关注1997年提前选举前后的5个日期和几种方法:黑色(1976年),对数正态数的混合(如Melick和Thomas, 1997年),Hermite展开(如Abken, Madan和Ramamurtie, 1996年),以及基于最大熵的方法(遵循Kelly和Buchen, 1996年)。总的来说,各种方法给出了相似的rnd。然而,埃尔米特展开方法,通过允许一些肮脏的期权价格,通过提供对期权价格的良好拟合,并且通过非常快的速度,是保留手头数据的方法。然后,我们考虑从1997年2月到1997年7月的每日选项面板。在构建标准化期权(即固定期限)后,我们发现两个市场的运营商在官方宣布前几天就预期了提前选举,并且在选举后一个月仍存在大量的政治不确定性。PIBOR期权更大的流动性简化了信息提取。
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Reading Interest Rate and Bond Futures Options' Smiles: How PIBOR and Notional Operators Appreciated the 1997 French Snap Election
The aim of this paper is to compare various methods which extract a Risk Neutral Density (RND) out of PIBOR as well as of Notional interest rate futures options and to investigate how traders reacted to a political event. We first focus on 5 dates surrounding the 1997 snap election and several methods: Black (1976), a mixture of lognormals (as in Melick and Thomas, 1997), an Hermite expansion (as in Abken, Madan, and Ramamurtie, 1996), and a method based on Maximum Entropy (following Kelly and Buchen, 1996). By and large the various methods give similar RNDs. Yet, the Hermite expansion approach, by allowing for somewhat dirty options prices, by providing a good fit to options prices, and by being very fast is the retained method for the data at hand. We then consider a daily panel of options running from February 1997 to July 1997. After constructing standardized options, i.e. with a fixed time to maturity, we find that operators in both markets anticipated the snap election a few days before the official announcement and that a substantial amount of political uncertainty subsisted even a month after the elections. The greater liquidity of PIBOR options eases information extraction.
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