TY - JOUR AU - Andersen,Torben G. AU - Bollerslev,Tim AU - Dobrev,Dobrislav TI - No-Arbitrage Semi-Martingale Restrictions for Continuous-Time Volatility Models subject to Leverage Effects, Jumps and i.i.d. Noise: Theory and Testable Distributional Implications JF - National Bureau of Economic Research Working Paper Series VL - No. 12963 PY - 2007 Y2 - March 2007 UR - http://www.nber.org/papers/w12963 L1 - http://www.nber.org/papers/w12963.pdf N1 - Author contact info: Torben G. Andersen Kellogg School of Management Northwestern University 2001 Sheridan Road Evanston, IL 60208 Tel: 847/467-1285 Fax: 847/491-5719 E-Mail: t-andersen@kellogg.northwestern.edu Tim Bollerslev Department of Economics Duke University Box 90097 Durham, NC 27708-0097 Tel: 919/660-1846 Fax: 919/684-8974 E-Mail: boller@econ.duke.edu Dobrislav Dobrev Federal Reserve Board of Governors 20th Street and Constitution Avenue NW Washington, DC 20551 E-Mail: Dobrislav.P.Dobrev@frb.gov AB - We develop a sequential procedure to test the adequacy of jump-diffusion models for return distributions. We rely on intraday data and nonparametric volatility measures, along with a new jump detection technique and appropriate conditional moment tests, for assessing the import of jumps and leverage effects. A novel robust-to-jumps approach is utilized to alleviate microstructure frictions for realized volatility estimation. Size and power of the procedure are explored through Monte Carlo methods. Our empirical findings support the jump-diffusive representation for S&P500 futures returns but reveal it is critical to account for leverage effects and jumps to maintain the underlying semi-martingale assumption. ER -