@techreport{NBERw12963, title = "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", author = "Torben G. Andersen and Tim Bollerslev and Dobrislav Dobrev", institution = "National Bureau of Economic Research", type = "Working Paper", series = "Working Paper Series", number = "12963", year = "2007", month = "March", URL = "http://www.nber.org/papers/w12963", abstract = {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.}, }