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Detecting Periods of Exuberance: A Look at the Role of Aggregation with an Application to House Prices

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Abstract

The recently developed SADF and GSADF unit root tests of Phillips et al. (2011) and Phillips et al. (2015) have become popular in the literature for detecting exuberance in asset prices. In this paper, we examine through simulation experiments the effect of cross-sectional aggregation on the power properties of these tests. The simulation design considered is based on actual housing data for both U.S. metropolitan and international housing markets and thus allows us to draw conclusions for different levels of aggregation. Our findings suggest that aggregation lowers the power of both the SADF and GSADF tests. The effect, however, is much larger for the SADF test. We also provide evidence that tests based on panel data techniques, namely the panel GSADF test recently proposed by Pavlidis et al. (2015), can perform substantially better than univariate tests applied to aggregated series.

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  • Valerie Grossman & Enrique Martinez-Garcia & Efthymios Pavlidis, 2017. "Detecting Periods of Exuberance: A Look at the Role of Aggregation with an Application to House Prices," Globalization Institute Working Papers 325, Federal Reserve Bank of Dallas.
  • Handle: RePEc:fip:feddgw:325
    DOI: 10.24149/gwp325r1
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    1. John Y. Campbell & Pierre Perron, 1991. "Pitfalls and Opportunities: What Macroeconomists Should Know About Unit Roots," NBER Chapters, in: NBER Macroeconomics Annual 1991, Volume 6, pages 141-220, National Bureau of Economic Research, Inc.
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    3. Magdalinos, Tassos, 2012. "Mildly explosive autoregression under weak and strong dependence," Journal of Econometrics, Elsevier, vol. 169(2), pages 179-187.
    4. Peter C. B. Phillips & Jun Yu, 2011. "Dating the timeline of financial bubbles during the subprime crisis," Quantitative Economics, Econometric Society, vol. 2(3), pages 455-491, November.
    5. Perron, Pierre, 1991. "Test Consistency with Varying Sampling Frequency," Econometric Theory, Cambridge University Press, vol. 7(3), pages 341-368, September.
    6. Diba, Behzad T & Grossman, Herschel I, 1988. "Explosive Rational Bubbles in Stock Prices?," American Economic Review, American Economic Association, vol. 78(3), pages 520-530, June.
    7. Pierse, R. G. & Snell, A. J., 1995. "Temporal aggregation and the power of tests for a unit root," Journal of Econometrics, Elsevier, vol. 65(2), pages 333-345, February.
    8. Shiller, Robert J, 1981. "Do Stock Prices Move Too Much to be Justified by Subsequent Changes in Dividends?," American Economic Review, American Economic Association, vol. 71(3), pages 421-436, June.
    9. Im, Kyung So & Pesaran, M. Hashem & Shin, Yongcheol, 2003. "Testing for unit roots in heterogeneous panels," Journal of Econometrics, Elsevier, vol. 115(1), pages 53-74, July.
    10. Evans, George W, 1991. "Pitfalls in Testing for Explosive Bubbles in Asset Prices," American Economic Review, American Economic Association, vol. 81(4), pages 922-930, September.
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    15. Efthymios Pavlidis & Ivan Paya & David Alan Peel & Alisa Yevgenyevna Yusupova, 2017. "Exuberance in the U.K. Regional Housing Markets," Working Papers 168117137, Lancaster University Management School, Economics Department.
    16. repec:taf:jnlbes:v:30:y:2012:i:3:p:351-357 is not listed on IDEAS
    17. Efthymios Pavlidis & Alisa Yusupova & Ivan Paya & David Peel & Enrique Martínez-García & Adrienne Mack & Valerie Grossman, 2016. "Episodes of Exuberance in Housing Markets: In Search of the Smoking Gun," The Journal of Real Estate Finance and Economics, Springer, vol. 53(4), pages 419-449, November.
    18. Diba, Behzad T & Grossman, Herschel I, 1988. "The Theory of Rational Bubbles in Stock Prices," Economic Journal, Royal Economic Society, vol. 98(392), pages 746-754, September.
    19. Choi, In, 1992. "Effects of data aggregation on the power of tests for a unit root : A simulation study," Economics Letters, Elsevier, vol. 40(4), pages 397-401, December.
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    21. LeRoy, Stephen F & Porter, Richard D, 1981. "The Present-Value Relation: Tests Based on Implied Variance Bounds," Econometrica, Econometric Society, vol. 49(3), pages 555-574, May.
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    Cited by:

    1. Yao, Can-Zhong & Li, Hong-Yu, 2021. "A study on the bursting point of Bitcoin based on the BSADF and LPPLS methods," The North American Journal of Economics and Finance, Elsevier, vol. 55(C).
    2. Pavlidis, Efthymios G. & Vasilopoulos, Kostas, 2020. "Speculative bubbles in segmented markets: Evidence from Chinese cross-listed stocks," Journal of International Money and Finance, Elsevier, vol. 109(C).
    3. Holmes, Mark J. & Otero, Jesús & Panagiotidis, Theodore, 2019. "Property heterogeneity and convergence club formation among local house prices," Journal of Housing Economics, Elsevier, vol. 43(C), pages 1-13.
    4. Tom Hudepohl & Ryan van Lamoen & Nander de Vette, 2019. "Quantitative easing and exuberance in stock markets: Evidence from the euro area," DNB Working Papers 660, Netherlands Central Bank, Research Department.
    5. Martínez-García, Enrique & Grossman, Valerie, 2020. "Explosive dynamics in house prices? An exploration of financial market spillovers in housing markets around the world," Journal of International Money and Finance, Elsevier, vol. 101(C).
    6. Harvey, David I. & Leybourne, Stephen J. & Whitehouse, Emily J., 2020. "Date-stamping multiple bubble regimes," Journal of Empirical Finance, Elsevier, vol. 58(C), pages 226-246.
    7. Enrique Martinez-Garcia & Efthymios Pavlidis & Kostas Vasilopoulos, 2020. "exuber: Recursive Right-Tailed Unit Root Testing with R," Globalization Institute Working Papers 383, Federal Reserve Bank of Dallas.

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    More about this item

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • R30 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Real Estate Markets, Spatial Production Analysis, and Firm Location - - - General
    • R31 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Real Estate Markets, Spatial Production Analysis, and Firm Location - - - Housing Supply and Markets

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