PCA for Implied Volatility Surfaces
A Talk by
Tuesday, January 7, 2020
5:45 PM Registration
6:00 PM Seminar Begins
7:30 PM Reception
Principal component analysis (PCA) is a useful tool when trying to uncover factor models from historical asset returns. For the implied volatilities of U.S. equities there is a PCA-based model with a principal eigenportfolio whose return time series lies close to that of an overarching market factor. Specifically, this market factor is the index resulting from the daily compounding of a weighted average of implied-volatility returns, with weights based on the options' open interest (OI). We analyze the singular values derived from the tensor structure of the implied volatilities of S&P500 constituents, and find evidence indicating that the OI-weighted index is one of at least two significant factors in this market.
Andrew Papanicolaou has been a professor at NYU Tandon since 2015. His PhD is in applied mathematics from Brown University, and he has been a lecturer at the ORFE Department at Princeton University and in the School of Mathematics & Statistics at the University of Sydney. He holds a MS in Financial Mathematics from the University of Southern California and BS in Mathematical Sciences from the University of California at Santa Barbara.
Special thanks to the Fordham University Gabelli School of Business for hosting and sponsoring the seminar.
About the Series
The IAQF's Thalesians Seminar Series is a joint effort on the part of the IAQF (www.iaqf.org) and the Thalesians (www.thalesians.com). The goal of the series is to provide a forum for the exchange of new ideas and results related to the field of quantitative finance. This goal is accomplished by hosting seminars where leading practitioners and academics present new work, and following the seminars with a reception to facilitate further interaction and discussion.