Semi-parametric implied volatility surface models and forecasts based on a regression tree-boosting algorithm

[1]  Massimo Guidolin,et al.  Pricing and Informational Efficiency of the Mib30 Index Options Market. An Analysis with High Frequency Data , 2003 .

[2]  J. Friedman.  Greedy function approximation: A gradient boosting machine. , 2001 .

[3]  Douglas T. Breeden,et al.  Prices of State-Contingent Claims Implicit in Option Prices , 1978 .

[4]  Jens Carsten Jackwerth,et al.  Generalized Binomial Trees , 1996 .

[5]  R. C. Merton,et al.  Theory of Rational Option Pricing , 2015, World Scientific Reference on Contingent Claims Analysis in Corporate Finance.

[6]  L. Glosten,et al.  On the Relation between the Expected Value and the Volatility of the Nominal Excess Return on Stocks , 1993 .

[7]  Pascal J. Maenhout,et al.  An Empirical Portfolio Perspective on Option Pricing Anomalies , 2007 .

[8]  D. W. Scott,et al.  Multivariate Density Estimation, Theory, Practice and Visualization , 1992 .

[9]  Matthias R. Fengler.  Arbitrage-free smoothing of the implied volatility surface , 2009 .

[10]  Chris Brooks,et al.  Modelling the Implied Volatility of Options on Long Gilt Futures , 2002 .

[11]  K. Demeterfi,et al.  A Guide to Volatility and Variance Swaps , 1999 .

[12]  David M. Kreps,et al.  Martingales and arbitrage in multiperiod securities markets , 1979 .

[13]  D. Brigo,et al.  Displaced and Mixture Diffusions for Analytically-Tractable Smile Models , 2002 .

[14]  P. Schönbucher.  A market model for stochastic implied volatility , 1999, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[15]  Francis X. Diebold,et al.  Modeling and Forecasting Realized Volatility , 2001 .

[16]  P. Bühlmann,et al.  Volatility estimation with functional gradient descent for very high-dimensional financial time series , 2003 .

[17]  Emanuel Derman,et al.  STOCHASTIC IMPLIED TREES: ARBITRAGE PRICING WITH STOCHASTIC TERM AND STRIKE STRUCTURE OF VOLATILITY , 1998 .

[18]  Robert B. Litterman,et al.  Forecasting and Conditional Projection Using Realistic Prior Distributions , 1983 .

[19]  S. Heston,et al.  A Closed-Form GARCH Option Valuation Model , 2000 .

[20]  Roger Lee,et al.  Implied Volatility: Statics, Dynamics, and Probabilistic Interpretation , 2005 .

[21]  D. Applebaum.  Lévy Processes—From Probability to Finance and Quantum Groups , 2004 .

[22]  A. Ploeg.  Stochastic volatility and the pricing of financial derivatives , 2006 .

[23]  Nikolaos Panigirtzoglou,et al.  Testing the Stability of Implied Probability Density Functions , 2002 .

[24]  O. Benfey,et al.  August Kekule and the birth of the structural theory of organic chemistry in 1858 , 1958 .

[25]  John C. Davis,et al.  Contouring: A Guide to the Analysis and Display of Spatial Data , 1992 .

[26]  Christian Gourieroux,et al.  Efficient Derivative Pricing by the Extended Method of Moments , 2009 .

[27]  Leo Breiman,et al.  Classification and Regression Trees , 1984 .

[28]  Katja Ahoniemi.  Modeling and Forecasting Implied Volatility - an Econometric Analysis of the VIX Index* , 2006 .

[29]  Amit Goyal,et al.  Cross-Section of Option Returns and Volatility , 2009 .

[30]  B. Dumas,et al.  Implied volatility functions: empirical tests , 1996, IEEE Conference on Computational Intelligence for Financial Engineering & Economics.

[31]  Giovanni Barone-Adesi,et al.  VaR without correlations for portfolios of derivative securities , 1999 .

[32]  Les Clewlow,et al.  The Dynamics of the S&P 500 Implied Volatility Surface , 2000 .

[33]  E. Stein,et al.  Stock Price Distributions with Stochastic Volatility: An Analytic Approach , 1991 .

[34]  R. Tibshirani.  Regression Shrinkage and Selection via the Lasso , 1996 .

[35]  W. Härdle,et al.  Empirical Pricing Kernels and Investor Preferences , 2007 .

[36]  Andrea Buraschi,et al.  Correlation Risk and Optimal Portfolio Choice , 2006 .

[37]  D. Duffie,et al.  Transform Analysis and Asset Pricing for Affine Jump-Diffusions , 1999 .

[38]  J. Hüsler,et al.  Recent Advances in Applied Probability , 2006 .

[39]  R. Engle,et al.  A GARCH Option Pricing Model with Filtered Historical Simulation , 2008 .

[40]  Robert Tibshirani,et al.  The Elements of Statistical Learning: Data Mining, Inference, and Prediction, 2nd Edition , 2001, Springer Series in Statistics.

[41]  S. Heston.  A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options , 1993 .

[42]  S. Pliska.  Introduction to Mathematical Finance: Discrete Time Models , 1997 .

[43]  M. Rubinstein..  Nonparametric tests of alternative option pricing models using all reported trades and quotes on the , 1985 .

[44]  Yoav Freund,et al.  A decision-theoretic generalization of on-line learning and an application to boosting , 1997, EuroCOLT.

[45]  J. Friedman.  Special Invited Paper-Additive logistic regression: A statistical view of boosting , 2000 .

[46]  R. C. Merton,et al.  Option pricing when underlying stock returns are discontinuous , 1976 .

[47]  Toby Daglish,et al.  Volatility surfaces: theory, rules of thumb, and empirical evidence , 2007 .

[48]  James B. Wiggins.  Option values under stochastic volatility: Theory and empirical estimates , 1987 .

[49]  Robert H. Battalio,et al.  Options and the Bubble , 2004 .

[50]  Stochastic Taylor expansions and saddlepoint approximations for risk management , 2001 .

[51]  M. Rubinstein..  Implied Binomial Trees , 1994 .

[52]  Federico M. Bandi,et al.  Microstructure Noise, Realized Variance, and Optimal Sampling , 2008 .

[53]  From Implied to Spot Volatilities , 2008 .

[54]  A. Lo,et al.  Nonparametric Estimation of State‐Price Densities Implicit in Financial Asset Prices , 1998 .

[55]  P. Embrechts,et al.  Quantitative Risk Management: Concepts, Techniques, and Tools , 2005 .

[56]  Mark Britten-Jones,et al.  Option Prices, Implied Price Processes, and Stochastic Volatility , 2000 .

[57]  Performance of Dupire's implied diffusion approach under sparse and incomplete data , 2001 .

[58]  Gurdip Bakshi,et al.  Empirical Performance of Alternative Option Pricing Models , 1997 .

[59]  Emanuel Derman,et al.  Implied Trinomial Tress of the Volatility Smile , 1996 .

[60]  Massimo Guidolin,et al.  Predictable Dynamics in the S&P 500 Index Options Implied Volatility Surface , 2004 .

[61]  Francesco Audrino,et al.  A dynamic model of expected bond returns: A functional gradient descent approach , 2006, Comput. Stat. Data Anal..

[62]  Jun Pan.  The jump-risk premia implicit in options: evidence from an integrated time-series study $ , 2002 .

[63]  Katja Ahoniemi,et al.  Joint Modeling of Call and Put Implied Volatility , 2008 .

[64]  Peter Carr,et al.  Variance Risk Premiums , 2009 .

[65]  C. Granger,et al.  Forecasting Volatility in Financial Markets: A Review , 2003 .

[66]  Wolfgang Härdle,et al.  A semiparametric factor model for implied volatility surface dynamics , 2006 .

[67]  Robert J. Elliott,et al.  Mathematics of Financial Markets , 1999 .

[68]  Richard J. Rendleman,et al.  Option Prices as Predictors of Equilibrium Stock Prices , 1982 .

[69]  Yi Wang,et al.  No-Arbitrage Interpolation of the Option Price Function and Its Reformulation , 2004 .

[70]  David Mease,et al.  Evidence Contrary to the Statistical View of Boosting , 2008, J. Mach. Learn. Res..

[71]  R. Engle,et al.  Forecasting Volatility and Option Prices of the S&P 500 Index , 1994 .

[72]  Olivier Ledoit,et al.  Relative Pricing of Options with Stochastic Volatility , 1998 .

[73]  Jim Gatheral.  The Volatility Surface: A Practitioner's Guide , 2006 .

[74]  S. Ross,et al.  The valuation of options for alternative stochastic processes , 1976 .

[75]  Fabio Trojani,et al.  Accurate Short-Term Yield Curve Forecasting Using Functional Gradient Descent , 2007 .

[76]  Roberto J. Bayardo,et al.  PLANET: Massively Parallel Learning of Tree Ensembles with MapReduce , 2009, Proc. VLDB Endow..

[77]  Massimo Guidolin,et al.  Modelling the Implied Volatility Surface: Does Market Efficiency Matter? An Application to Mib30 Index Options , 2004 .

[78]  Blake LeBaron,et al.  Computational finance 1999 , 2000 .

[79]  Nicolas P. B. Bollen,et al.  Does Net Buying Pressure Affect the Shape of Implied Volatility Functions? , 2002 .

[80]  J. Hull.  Options, Futures, and Other Derivatives , 1989 .

[81]  Shie Mannor,et al.  Greedy Algorithms for Classification -- Consistency, Convergence Rates, and Adaptivity , 2003, J. Mach. Learn. Res..

[82]  Anne L. Murphy.  Trading Options Before Black-Scholes: A Study of the Market in Late Seventeenth-Century London , 2009 .

[83]  Alan G. White,et al.  The Pricing of Options on Assets with Stochastic Volatilities , 1987 .

[84]  Francesco Audrino,et al.  Functional gradient descent for financial time series with an application to the measurement of market risk , 2005 .

[85]  C. S. Jones.  The dynamics of stochastic volatility: evidence from underlying and options markets , 2003 .

[86]  D. Duffie.  Dynamic Asset Pricing Theory , 1992 .

[87]  Gurdip Bakshi,et al.  Delta-Hedged Gains and the Negative Market Volatility Risk Premium , 2001 .

[88]  David S. Bates.  Jumps and Stochastic Volatility: Exchange Rate Processes Implicit in Thephlx Deutschemark Options , 1993 .

[89]  Peter Buhlmann,et al.  BOOSTING ALGORITHMS: REGULARIZATION, PREDICTION AND MODEL FITTING , 2007, 0804.2752.

[90]  Tyler Shumway,et al.  Expected Option Returns , 2000 .

[91]  Rogemar Mamon,et al.  A New Representation Of The Local Volatility Surface , 2008 .

[92]  Wenxin Jiang.  Process consistency for AdaBoost , 2003 .

[93]  F. Black,et al.  The Pricing of Options and Corporate Liabilities , 1973, Journal of Political Economy.

[94]  Campbell R. Harvey,et al.  The New York Times Dictionary of Money and Investing: The Essential A-to-Z Guide to the Language of the New Market , 2002 .

[95]  Costis Skiadas.  Asset Pricing Theory , 2009 .

[96]  S. Ross,et al.  A theory of the term structure of interest rates'', Econometrica 53, 385-407 , 1985 .

[97]  R. Hafner,et al.  Arbitrage-free estimation of the risk-neutral density from the implied volatility smile , 2002 .

[98]  Francesco Audrino,et al.  Measuring and Modelling Realized Volatility: from Tick-by-tick to Long Memory , 2005 .

[99]  Enno Mammen,et al.  A Dynamic Semiparametric Factor Model for Implied Volatility String Dynamics , 2005 .

[100]  Wei-Yin Loh,et al.  Classification and regression trees , 2011, WIREs Data Mining Knowl. Discov..

[101]  Matthias R. Fengler.  Semiparametric Modeling of Implied Volatility , 2005 .

[102]  Pascal J. Maenhout,et al.  The Price of Correlation Risk: Evidence from Equity Options , 2006 .

[103]  M. Benko.  Functional data analysis with applications in finance , 2007 .

[104]  Wolfgang K. Härdle,et al.  The Dynamics of Implied Volatilities: A Common Principal Components Approach , 2003 .

[105]  A. Mira,et al.  The Stability of Factor Models of Interest Rates , 2005 .

[106]  Convergence of at-the-money implied volatilities to the spot volatility , 2008 .

[107]  J. Jackwerth,et al.  The Price of a Smile: Hedging and Spanning in Option Markets , 2001 .

[108]  J. Rosenberg.  Implied Volatility Functions , 2000 .

[109]  Shie Mannor.  On the Consistency of Boosting Algorithms , 2001 .

[110]  Ludger Hentschel,et al.  Errors in Implied Volatility Estimation , 2003, Journal of Financial and Quantitative Analysis.

[111]  Yisong S. Tian,et al.  The Model-Free Implied Volatility and Its Information Content , 2005 .

[112]  S. Shreve,et al.  Robustness of the Black and Scholes Formula , 1998 .

[113]  R. Elliott,et al.  Cutting the hedge , 2007 .