IDEAS home Printed from https://ideas.repec.org/a/bla/jecsur/v23y2009i3p503-527.html
   My bibliography  Save this article

Variance‐Ratio Tests Of Random Walk: An Overview

Author

Listed:
  • Amélie Charles
  • Olivier Darné

Abstract

This paper reviews the recent developments in the field of the variance‐ratio (VR) tests of the random walk and martingale hypothesis. In particular, we present the conventional individual and multiple VR tests as well as their improved modifications based on power‐transformed statistics, rank and sign tests, subsampling and bootstrap methods, among others. We also re‐examine the weak‐form efficiency for five emerging equity markets in Latin America.

Suggested Citation

  • Amélie Charles & Olivier Darné, 2009. "Variance‐Ratio Tests Of Random Walk: An Overview," Journal of Economic Surveys, Wiley Blackwell, vol. 23(3), pages 503-527, July.
  • Handle: RePEc:bla:jecsur:v:23:y:2009:i:3:p:503-527
    DOI: 10.1111/j.1467-6419.2008.00570.x
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/j.1467-6419.2008.00570.x
    Download Restriction: no

    File URL: https://libkey.io/10.1111/j.1467-6419.2008.00570.x?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Myung Jig Kim & Charles R. Nelson & Richard Startz, 1991. "Mean Reversion in Stock Prices? A Reappraisal of the Empirical Evidence," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(3), pages 515-528.
    2. Grieb, Terrance & Reyes, Mario G, 1999. "Random Walk Tests for Latin American Equity Indexes and Individual Firms," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 22(4), pages 371-383, Winter.
    3. Kim, Jae H. & Shamsuddin, Abul, 2008. "Are Asian stock markets efficient? Evidence from new multiple variance ratio tests," Journal of Empirical Finance, Elsevier, vol. 15(3), pages 518-532, June.
    4. Malliaropulos, Dimitrios & Priestley, Richard, 1999. "Mean reversion in Southeast Asian stock markets," Journal of Empirical Finance, Elsevier, vol. 6(4), pages 355-384, October.
    5. Chow, K. Victor & Denning, Karen C., 1993. "A simple multiple variance ratio test," Journal of Econometrics, Elsevier, vol. 58(3), pages 385-401, August.
    6. Chen, Willa W. & Deo, Rohit S., 2006. "The Variance Ratio Statistic At Large Horizons," Econometric Theory, Cambridge University Press, vol. 22(2), pages 206-234, April.
    7. Andrew W. Lo, A. Craig MacKinlay, 1988. "Stock Market Prices do not Follow Random Walks: Evidence from a Simple Specification Test," The Review of Financial Studies, Society for Financial Studies, vol. 1(1), pages 41-66.
    8. Davidson, Russell & Flachaire, Emmanuel, 2008. "The wild bootstrap, tamed at last," Journal of Econometrics, Elsevier, vol. 146(1), pages 162-169, September.
    9. Chang, Eui Jung & Lima, Eduardo Jose Araujo & Tabak, Benjamin Miranda, 2004. "Testing for predictability in emerging equity markets," Emerging Markets Review, Elsevier, vol. 5(3), pages 295-316, September.
    10. Gilbert Colletaz, 2005. "A simple multiple variance-ratio Test Based on ranks," Post-Print halshs-00286512, HAL.
    11. Psaradakis Zacharias, 2000. "p-Value Adjustments for Multiple Tests for Nonlinearity," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 4(3), pages 1-8, October.
    12. Whitney K. Newey & Kenneth D. West, 1994. "Automatic Lag Selection in Covariance Matrix Estimation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 61(4), pages 631-653.
    13. Chaudhuri, Kausik & Wu, Yangru, 2003. "Random walk versus breaking trend in stock prices: Evidence from emerging markets," Journal of Banking & Finance, Elsevier, vol. 27(4), pages 575-592, April.
    14. Graham Smith & Keith Jefferis & Hyun-Jung Ryoo, 2002. "African stock markets: multiple variance ratio tests of random walks," Applied Financial Economics, Taylor & Francis Journals, vol. 12(7), pages 475-484.
    15. Lo, Andrew W. & MacKinlay, A. Craig, 1989. "The size and power of the variance ratio test in finite samples : A Monte Carlo investigation," Journal of Econometrics, Elsevier, vol. 40(2), pages 203-238, February.
    16. Cogley, Timothy, 1990. "International Evidence on the Size of the Random Walk in Output," Journal of Political Economy, University of Chicago Press, vol. 98(3), pages 501-518, June.
    17. Campbell, Bryan & Dufour, Jean-Marie, 1997. "Exact Nonparametric Tests of Orthogonality and Random Walk in the Presence of a Drift Parameter," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(1), pages 151-173, February.
    18. Wright, Jonathan H, 2000. "Alternative Variance-Ratio Tests Using Ranks and Signs," Journal of Business & Economic Statistics, American Statistical Association, vol. 18(1), pages 1-9, January.
    19. Andrews, Donald W K, 1991. "Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation," Econometrica, Econometric Society, vol. 59(3), pages 817-858, May.
    20. Karemera, David & Ojah, Kalu & Cole, John A, 1999. "Random Walks and Market Efficiency Tests: Evidence from Emerging Equity Markets," Review of Quantitative Finance and Accounting, Springer, vol. 13(2), pages 171-188, September.
    21. James G. MacKinnon, 2002. "Bootstrap inference in econometrics," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 35(4), pages 615-645, November.
    22. Cochrane, John H, 1988. "How Big Is the Random Walk in GNP?," Journal of Political Economy, University of Chicago Press, vol. 96(5), pages 893-920, October.
    23. Kim, Jae H., 2006. "Wild bootstrapping variance ratio tests," Economics Letters, Elsevier, vol. 92(1), pages 38-43, July.
    24. Kim, Chang-Jin & Nelson, Charles R., 1998. "Testing for mean reversion in heteroskedastic data II: Autoregression tests based on Gibbs-sampling-augmented randomization1," Journal of Empirical Finance, Elsevier, vol. 5(4), pages 385-396, October.
    25. Fleming, Jeff & Kirby, Chris & Ostdiek, Barbara, 2006. "Bootstrap tests of multiple inequality restrictions on variance ratios," Economics Letters, Elsevier, vol. 91(3), pages 343-348, June.
    26. Belaire-Franch, Jorge & Opong, Kwaku K., 2005. "Some evidence of random walk behavior of Euro exchange rates using ranks and signs," Journal of Banking & Finance, Elsevier, vol. 29(7), pages 1631-1643, July.
    27. Hochberg, Yosef, 1974. "Some generalizations of the T-method in simultaneous inference," Journal of Multivariate Analysis, Elsevier, vol. 4(2), pages 224-234, June.
    28. Luger, Richard, 2003. "Exact non-parametric tests for a random walk with unknown drift under conditional heteroscedasticity," Journal of Econometrics, Elsevier, vol. 115(2), pages 259-276, August.
    29. Willa W. Chen & Rohit S. Deo, 2004. "Power transformations to induce normality and their applications," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 66(1), pages 117-130, February.
    30. Kim, Chang-Jin & Nelson, Charles R. & Startz, Richard, 1998. "Testing for mean reversion in heteroskedastic data based on Gibbs-sampling-augmented randomization1," Journal of Empirical Finance, Elsevier, vol. 5(2), pages 131-154, June.
    31. Politis, D. N. & Romano, Joseph P. & Wolf, Michael, 1997. "Subsampling for heteroskedastic time series," Journal of Econometrics, Elsevier, vol. 81(2), pages 281-317, December.
    32. Campbell, John Y & Mankiw, N Gregory, 1987. "Permanent and Transitory Components in Macroeconomic Fluctuations," American Economic Review, American Economic Association, vol. 77(2), pages 111-117, May.
    33. Terrance Grieb & Mario G. Reyes, 1999. "Random Walk Tests For Latin American Equity Indexes And Individual Firms," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 22(4), pages 371-383, December.
    34. Andrews, Donald W K & Monahan, J Christopher, 1992. "An Improved Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimator," Econometrica, Econometric Society, vol. 60(4), pages 953-966, July.
    35. Shively, Philip A., 2002. "An exact invariant variance ratio test," Economics Letters, Elsevier, vol. 75(3), pages 347-353, May.
    36. Fama, Eugene F, 1991. "Efficient Capital Markets: II," Journal of Finance, American Finance Association, vol. 46(5), pages 1575-1617, December.
    37. Cajueiro, Daniel O. & Tabak, Benjamin M., 2006. "Testing for predictability in equity returns for European transition markets," Economic Systems, Elsevier, vol. 30(1), pages 56-78, March.
    38. F. Cribari-Neto & S. G. Zarkos, 1999. "Bootstrap methods for heteroskedastic regression models: evidence on estimation and testing," Econometric Reviews, Taylor & Francis Journals, vol. 18(2), pages 211-228.
    39. Richardson, Matthew & Stock, James H., 1989. "Drawing inferences from statistics based on multiyear asset returns," Journal of Financial Economics, Elsevier, vol. 25(2), pages 323-348, December.
    40. Whang, Yoon-Jae & Kim, Jinho, 2003. "A multiple variance ratio test using subsampling," Economics Letters, Elsevier, vol. 79(2), pages 225-230, May.
    41. Richardson, Matthew & Smith, Tom, 1991. "Tests of Financial Models in the Presence of Overlapping Observations," The Review of Financial Studies, Society for Financial Studies, vol. 4(2), pages 227-254.
    42. Choi, In, 1999. "Testing the Random Walk Hypothesis for Real Exchange Rates," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 14(3), pages 293-308, May-June.
    43. Davidson, James & Monticini, Andrea & Peel, David, 2007. "Implementing the wild bootstrap using a two-point distribution," Economics Letters, Elsevier, vol. 96(3), pages 309-315, September.
    44. Y. K. Tse & K. W. Ng & Xibin Zhang, 2004. "A small‐sample overlapping variance‐ratio test," Journal of Time Series Analysis, Wiley Blackwell, vol. 25(1), pages 127-135, January.
    45. Daniel, Kent, 2001. "The power and size of mean reversion tests," Journal of Empirical Finance, Elsevier, vol. 8(5), pages 493-535, December.
    46. Hoque, Hafiz A.A.B. & Kim, Jae H. & Pyun, Chong Soo, 2007. "A comparison of variance ratio tests of random walk: A case of Asian emerging stock markets," International Review of Economics & Finance, Elsevier, vol. 16(4), pages 488-502.
    47. Osamah M. Al‐Khazali & David K. Ding & Chong Soo Pyun, 2007. "A New Variance Ratio Test of Random Walk in Emerging Markets: A Revisit," The Financial Review, Eastern Finance Association, vol. 42(2), pages 303-317, May.
    48. Fama, Eugene F, 1970. "Efficient Capital Markets: A Review of Theory and Empirical Work," Journal of Finance, American Finance Association, vol. 25(2), pages 383-417, May.
    49. Yilmaz, Kamil, 2003. "Martingale Property of Exchange Rates and Central Bank Interventions," Journal of Business & Economic Statistics, American Statistical Association, vol. 21(3), pages 383-395, July.
    50. Jorge L. Urrutia, 1995. "Tests Of Random Walk And Market Efficiency For Latin American Emerging Equity Markets," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 18(3), pages 299-309, September.
    51. Graham Smith & Hyun-Jung Ryoo, 2003. "Variance ratio tests of the random walk hypothesis for European emerging stock markets," The European Journal of Finance, Taylor & Francis Journals, vol. 9(3), pages 290-300.
    52. Lagoarde-Segot, Thomas & Lucey, Brian M., 2008. "Efficiency in emerging markets--Evidence from the MENA region," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 18(1), pages 94-105, February.
    53. Deo, Rohit S. & Richardson, Matthew, 2003. "On The Asymptotic Power Of The Variance Ratio Test," Econometric Theory, Cambridge University Press, vol. 19(2), pages 231-239, April.
    54. Faust, Jon, 1992. "When Are Variance Ratio Tests for Serial Dependence Optimal?," Econometrica, Econometric Society, vol. 60(5), pages 1215-1226, September.
    55. Fong, Wai Mun & Koh, Seng Kee & Ouliaris, Sam, 1997. "Joint Variance-Ratio Tests of the Martingale Hypothesis for Exchange Rates," Journal of Business & Economic Statistics, American Statistical Association, vol. 15(1), pages 51-59, January.
    56. Perron, Pierre & Vodounou, Cosme, 2005. "The Variance Ratio Test: An Analysis Of Size And Power Based On A Continuous-Time Asymptotic Framework," Econometric Theory, Cambridge University Press, vol. 21(3), pages 562-592, June.
    57. Poterba, James M. & Summers, Lawrence H., 1988. "Mean reversion in stock prices : Evidence and Implications," Journal of Financial Economics, Elsevier, vol. 22(1), pages 27-59, October.
    58. Cecchetti, Stephen G & Lam, Pok-sang, 1994. "Variance-Ratio Tests: Small-Sample Properties with an Application to International Output Data," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(2), pages 177-186, April.
    59. Ojah, Kalu & Karemera, David, 1999. "Random Walks and Market Efficiency Tests of Latin American Emerging Equity Markets: A Revisit," The Financial Review, Eastern Finance Association, vol. 34(2), pages 57-72, May.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Amelie Charles & Olivier Darne, 2009. "Testing for Random Walk Behavior in Euro Exchange Rates," Economie Internationale, CEPII research center, issue 119, pages 25-45.
    2. Charles, Amélie & Darné, Olivier & Kim, Jae H., 2012. "Exchange-rate return predictability and the adaptive markets hypothesis: Evidence from major foreign exchange rates," Journal of International Money and Finance, Elsevier, vol. 31(6), pages 1607-1626.
    3. Mamdouh Abdulaziz Saleh Al-Faryan & Everton Dockery, 2021. "Testing for efficiency in the Saudi stock market: does corporate governance change matter?," Review of Quantitative Finance and Accounting, Springer, vol. 57(1), pages 61-90, July.
    4. Charles, Amélie & Darné, Olivier, 2009. "The efficiency of the crude oil markets: Evidence from variance ratio tests," Energy Policy, Elsevier, vol. 37(11), pages 4267-4272, November.
    5. Charles, Amélie & Darné, Olivier & Fouilloux, Jessica, 2011. "Testing the martingale difference hypothesis in CO2 emission allowances," Economic Modelling, Elsevier, vol. 28(1), pages 27-35.
    6. Shyh-wei Chen, 2009. "Random walks in asian foreign exchange markets:evidence from new multiple variance ratio tests," Economics Bulletin, AccessEcon, vol. 29(2), pages 1296-1307.
    7. Felix Schindler, 2014. "Persistence and Predictability in UK House Price Movements," The Journal of Real Estate Finance and Economics, Springer, vol. 48(1), pages 132-163, January.
    8. Felix Schindler, 2013. "Predictability and Persistence of the Price Movements of the S&P/Case-Shiller House Price Indices," The Journal of Real Estate Finance and Economics, Springer, vol. 46(1), pages 44-90, January.
    9. Hoque, Hafiz A.A.B. & Kim, Jae H. & Pyun, Chong Soo, 2007. "A comparison of variance ratio tests of random walk: A case of Asian emerging stock markets," International Review of Economics & Finance, Elsevier, vol. 16(4), pages 488-502.
    10. Regis Augusto Ely, 2011. "Returns Predictability and Stock Market Efficiency in Brazil," Brazilian Review of Finance, Brazilian Society of Finance, vol. 9(4), pages 571-584.
    11. Fathia Elleuch Lahyani, 2014. "Are MENA and Pacific Basin Stock Equity Markets Predictable?," SAGE Open, , vol. 4(4), pages 21582440145, December.
    12. Siva Kiran & Prabhakar Rao.R, 2019. "Analysis of Stock Market Efficiency in Emerging Markets: Evidence from BRICS," Romanian Economic Journal, Department of International Business and Economics from the Academy of Economic Studies Bucharest, vol. 22(72), pages 60-77, June.
    13. Muneer Shaik & S. Maheswaran, 2017. "Market Efficiency of ASEAN Stock Markets," Asian Economic and Financial Review, Asian Economic and Social Society, vol. 7(2), pages 109-122, February.
    14. Aye, Goodness C. & Gil-Alana, Luis A. & Gupta, Rangan & Wohar, Mark E., 2017. "The efficiency of the art market: Evidence from variance ratio tests, linear and nonlinear fractional integration approaches," International Review of Economics & Finance, Elsevier, vol. 51(C), pages 283-294.
    15. Luger, Richard, 2003. "Exact non-parametric tests for a random walk with unknown drift under conditional heteroscedasticity," Journal of Econometrics, Elsevier, vol. 115(2), pages 259-276, August.
    16. Seok Young Hong & Oliver Linton & Hui Jun Zhang, 2015. "An investigation into Multivariate Variance Ratio Statistics and their application to Stock Market Predictability," Cambridge Working Papers in Economics 1552, Faculty of Economics, University of Cambridge.
    17. Charles, Amélie & Darné, Olivier, 2009. "The random walk hypothesis for Chinese stock markets: Evidence from variance ratio tests," Economic Systems, Elsevier, vol. 33(2), pages 117-126, June.
    18. Seok Young Hong & Oliver Linton & Hui Jun Zhang, 2015. "An investigation into multivariate variance ratio statistics and their application to stock market predictability," CeMMAP working papers 13/15, Institute for Fiscal Studies.
    19. Stéphane Goutte & David Guerreiro & Bilel Sanhaji & Sophie Saglio & Julien Chevallier, 2019. "International Financial Markets," Post-Print halshs-02183053, HAL.
    20. Mohanty, Sunil K. & Mishra, Sibanjan, 2020. "Regulatory reform and market efficiency: The case of Indian agricultural commodity futures markets," Research in International Business and Finance, Elsevier, vol. 52(C).

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:bla:jecsur:v:23:y:2009:i:3:p:503-527. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: http://www.blackwellpublishing.com/journal.asp?ref=0950-0804 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.