Title
Semi-parametric forecasts of the implied volatility surface using regression trees
Abstract
We present a new semi-parametric model for the prediction of implied volatility surfaces that can be estimated using machine learning algorithms. Given a reasonable starting model, a boosting algorithm based on regression trees sequentially minimizes generalized residuals computed as differences between observed and estimated implied volatilities. To overcome the poor predictive power of existing models, we include a grid in the region of interest, and implement a cross-validation strategy to find an optimal stopping value for the boosting procedure. Back testing the out-of-sample performance on a large data set of implied volatilities from S&P 500 options, we provide empirical evidence of the strong predictive power of our model.
Year
DOI
Venue
2010
10.1007/s11222-009-9134-y
Statistics and Computing
Keywords
Field
DocType
Implied volatility,Implied volatility surface,Option pricing,Forecasting,Tree boosting,Regression tree,Functional gradient descent
Econometrics,Decision tree,Implied volatility,Valuation of options,Optimal stopping,Regression,Boosting (machine learning),Semiparametric model,Forward volatility,Statistics,Mathematics
Journal
Volume
Issue
ISSN
20
4
0960-3174
Citations 
PageRank 
References 
1
0.35
3
Authors
2
Name
Order
Citations
PageRank
Francesco Audrino1143.36
Dominik Colangelo210.35