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Research Papers

Discrete sine transform for multi-scale realized volatility measures

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Pages 263-279 | Received 08 Oct 2008, Accepted 27 Apr 2010, Published online: 23 Nov 2010

References

  • Aït-Sahalia , Y , Mykland , PA and Zhang , L . 2005 . How often to sample a continuous-time process in the presence of market microstructure noise . Rev. Financial Stud. , 18 : 351 – 416 .
  • Aït-Sahalia, Y., Mykland, P.A. and Zhang, L., Ultra high frequency volatility estimation with dependent microstructure noise. Manuscript, Princeton University, University of Chicago and University of Illinois, 2006.
  • Alizadeh , S , Brandt , MW and Diebold , FX . 2002 . Range-based estimation of stochastic volatility models . J. Finance , 57 ( 3 ) : 1047 – 1090 .
  • Andersen , TG , Bollerslev , T , Diebold , FX and Labys , P . 2001a . The distribution of exchange rate volatility . J. Am. Statist. Assoc. , 96 : 42 – 55 .
  • Andersen , TG , Bollerslev , T , Diebold , FX and Labys , P . 2001b . Great realizations . Risk , 13 : 105 – 108 .
  • Andersen , TG , Bollerslev , T , Diebold , FX and Vega , C . 2003 . Micro effects of macro announcements: Real-time price discovery in foreign exchange . Am. Econ. Rev. , 93 : 38 – 62 .
  • Andersen , TG , Bollerslev , T and Diebold , FX . 2005 . “ Parametric and nonparametric volatility measurement ” . In Handbook of Financial Econometrics , Edited by: Aït-Sahalia , Y and Hansen , LP . Amsterdam : North-Holland .
  • Andersen , TG , Bollerslev , T and Diebold , FX . 2007 . Roughing it up: Including jump components in the measurement, modeling, and forecasting of return volatility . Rev. Econ. Statist. , 89 ( 4 ) : 701 – 720 .
  • Ané , T and Geman , H . 2000 . Order flow, transaction clock, and normality of asset returns . J. Finance , 55 ( 5 ) : 2259 – 2284 .
  • Bandi, F. and Russell, J.R., Microstructure noise, realized volatility, and optimal sampling. Working Paper, Graduate School of Business, University of Chicago, 2005.
  • Bandi , F and Russell , JR . 2010 . Market microstructure noise, integrated variance estimators, and the accuracy of asymptotic approximations . J. Econometr. , forthcoming
  • Barndorff-Nielsen , OE , Hansen , PR , Lunde , A and Shephard , N . 2004 . Regular and modified kernel-based estimators of integrated variance: The case with independent noise. Working Paper Available online at: http://ssrn.com/abstract=620203
  • Barndorff-Nielsen , OE , Hansen , PR , Lunde , A and Shephard , N . 2008 . Designing realised kernels to measure the ex-post variation of equity prices in the presence of noise . Econometrica , 76 ( 6 ) : 1481 – 1536 .
  • Barndorff-Nielsen , OE and Shephard , N . 2001 . Non-Gaussian Ornstein–Uhlembech-based models and some of their uses in financial economics . J. R. Statist. Soc. B , 63 : 167 – 241 .
  • Barndorff-Nielsen , OE and Shephard , N . 2002a . Econometric analysis of realized volatility and its use in estimating stochastic volatility models . J. R. Statist. Soc. B , 64 : 253 – 280 .
  • Barndorff-Nielsen , OE and Shephard , N . 2002b . Estimating quadratic variation using realized variance . J. Appl. Econometr. , 17 ( 5 ) : 457 – 477 .
  • Barndorff-Nielsen , OE and Shephard , N . 2005 . “ How accurate is the asymptotic approximation to the distribution of realized volatility? ” . In Identification and Inference for Econometric Models. A Festschrift in Honour of T.J. Rothenberg , Edited by: Andrews , DWF and Stock , JH . 306 – 331 . Cambridge : Cambridge University Press .
  • Blume , M and Stambaugh , S . 1983 . Biases in computed returns . J. Financial Econ. , 12 : 387 – 404 .
  • Bollen , B and Inder , B . 2002 . Estimating daily volatility in financial markets utilizing intraday data . J. Empir. Finance , 186
  • Christensen , K and Podolskij , M . 2007 . Realized range-based estimation of integrated variance . J. Econometr. , 141 ( 2 ) : 323 – 349 .
  • Clark , PK . 1973 . A subordinated stochastic process model with finite variance for speculative prices . Econometrica , 41 ( 1 ) : 135 – 155 .
  • Cohen , KJ , Maier , SF , Schwartz , RA and Whitcomb , DK . 1981 . Transaction costs, order placement strategy, and existence of the bid–ask spread . J. Polit. Econ. , 89 : 287 – 305 .
  • Comte , F and Renault , E . 2001 . Long memory in continuous time stochastic volatility models . Math. Finance , 8 : 291 – 323 .
  • Corsi , F , Zumbach , G , Müller , UA and Dacorogna , M . 2001 . Consistent high-precision volatility from high-frequency data . Econ. Notes , 30 ( 2 ) : 183 – 204 .
  • Elliott , JF . 1953 . The characteristic roots of certain real symmetric matrices. Technical Report, University of Tennessee
  • French , KR and Roll , R . 1986 . Stock return variances: The arrival of information and the reaction of traders . J. Financial Econ. , 17 ( 1 ) : 5 – 26 .
  • Glosten , L . 1994 . Is the electronic open limit-order book inevitable? . J. Finance , 49 : 1127 – 1161 .
  • Glottlieb , G and Kalay , A . 1985 . Implication of the discreteness of observed stock prices . J. Finance , 40 : 135 – 153 .
  • Gregory , RT and Karney , D . 1969 . A Collection of Matrices for Testing Computational Algorithms , New York : Wiley–Interscience .
  • Hamilton , J . 1994 . Time Series Analysis , Princeton : Princeton University Press .
  • Hansen, P.R. and Lunde, A., An unbiased measure of realized variance. Working Paper, Department of Economics, Stanford University, 2004.
  • Hansen , PR and Lunde , A . 2006 . Realized variance and market microstructure noise . J. Business Econ. Statist. , 24 : 127 – 218 .
  • Harris , L . 1990 . Estimation of stock price variances and serial covariances from discrete observations . J. Financial Quant. Anal. , 25 ( 3 ) : 291 – 306 .
  • Hasbrouck , J . 1993 . Assessing the quality of a security market: A new approach to transaction-cost measurement . Rev. Financial Stud. , 6 ( 1 ) : 191 – 212 .
  • Hasbrouck, J., Modelling market microstructure time series. In Statistical Methods in Fianance, vol. 14 of Handbook of Statistics, edited by G.S. Maddala and C.R. Rao, pp. 647–692, 1996 (North-Holland: Amsterdam).
  • Hasbrouck , J . 1999 . The dynamichs of discrete bid and ask quotes . J. Finance , 54 : 2109 – 2142 .
  • Hasbrouck , J and Ho , T . 1987 . Order arrival, quote behavior, and the return-generating process . J. Finance , 42 : 1035 – 1048 .
  • Heston , S . 1993 . A closed-form solution for options with stochastic volatility with applications to bonds and currency options . Rev. Financial Stud. , 6 : 327 – 343 .
  • Lan , Z . 2006 . Efficient estimation of stochastic volatility using noisy observations: A multi-scale approach . Bernoulli , 12 : 1019 – 1043 .
  • Martens , M and van Dijk , D . 2007 . Measuring volatility with the realized range . J. Econometr. , 138 ( 1 ) : 181 – 207 .
  • Merton , RC . 1980 . On estimating the expected return on the market: An exploratory investigation . J. Financial Econ. , 8 : 323 – 361 .
  • Nolte, I. and Voev, V., Estimating high-frequency based (co-) variances: A unified approach. Working Paper, 2008.
  • Oomen , RC . 2005 . Properties of bias-corrected realized variance under alternative sampling schemes . J. Financial Econometr. , 3 ( 4 ) : 555 – 577 .
  • Oomen , RC . 2006 . Properties of realized variance under alternative sampling schemes . J. Business Econ. Statist. , 24 : 219 – 237 .
  • Parkinson , M . 1980 . The extreme value method for estimating the variance of the rate of return . J. Business , 53 : 61 – 65 .
  • Phillips , PCB and Yu , J . 2006 . Discussion of Hansen & Lunde (2006) . J. Business Econ. Statist. , 24 : 202 – 208 .
  • Roll , R . 1984 . A simple implicit measure of the effective bid–ask spread in an efficient market . J. Finance , 39 : 1127 – 1139 .
  • Zhang , L . 2006 . Efficient estimation of stochastic volatility using noisy observations: A multi-scale approach . Bernoulli , 12 ( 6 ) : 1019 – 1043 .
  • Zhang , L , Aït-Sahalia , Y and Mykland , PA . 2005 . A tale of two time scales: Determining integrated volatility with noisy high-frequency data . J. Am. Statist. Assoc. , 100 : 1394 – 1411 .
  • Zhou , B . 1996 . High-frequency data and volatility in foreign-exchange rates . J. Business Econ. Statist. , 14 ( 1 ) : 45 – 52 .
  • Zhou , B . 1998 . “ Parametric and nonparametric volatility measurement ” . In Nonlinear Modelling of High Frequency Financial Time Series , Edited by: Dunis , CL and Zhou , B . 109 – 123 . New York : Wiley .
  • Zumbach , GO , Corsi , F and Trapletti , A . 2002 . Efficient estimation of volatility using high frequency data. Working Paper, Olsen & Associates

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