Implied Volatilities of S&P 100 Index with Applications to Financial Market

Jin Zheng, Nan Zhang, Dejun Xie*

*Corresponding author for this work

Research output: Chapter in Book or Report/Conference proceedingConference Proceedingpeer-review

Abstract

This paper studies the implied volatilities of the S &P 100 from the prices of the American put options written on the same index. The computations are based on a recursive Binomial algorithm with prescribed error tolerance. The results show that the volatility smile exists, thus the classic Black-Scholes's approach of using a constant volatility for pricing options with different trading conditions is not plausible. The method discussed in this work contrasts the likelihood ratio method contained in [6]. Further studies with expanded data set are recommended for comparing the effectiveness of these two methods in forecasting stock market shocks.

Original languageEnglish
Title of host publicationGrid and Pervasive Computing - 8th International Conference, GPC 2013 and Colocated Workshops, Proceedings
PublisherSpringer Verlag
Pages694-699
Number of pages6
ISBN (Print)9783642380266
DOIs
Publication statusPublished - 2013
Event8th International Conference on Grid and Pervasive Computing, GPC 2013 - Seoul, Korea, Republic of
Duration: 9 May 201311 May 2013

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume7861 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference8th International Conference on Grid and Pervasive Computing, GPC 2013
Country/TerritoryKorea, Republic of
CitySeoul
Period9/05/1311/05/13

Keywords

  • Binomial Methods
  • Implied Volatility
  • Option Pricing

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