Skip to main content
Erschienen in: Journal of Economics and Finance 3/2012

01.07.2012

An empirical analysis of mean reversion of the S&P 500’s P/E ratios

verfasst von: Ralf Becker, Junsoo Lee, Benton E. Gup

Erschienen in: Journal of Economics and Finance | Ausgabe 3/2012

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

Numerous authors have suggested that the price-earnings (P/E) ratio can be used to predict the future movement of stock prices. Such arguments are based on the belief that P/E ratios are mean-reverting. However, are the S&P P/E ratios really mean reverting? A review of the literature finds arguments on both sides, but the issue of mean reversion has not been tested adequately. Using unit roots and multiple structural breaks, we explicitly show that the P/E ratio is stationary around multiple breaks, which means that it will eventually revert to some long-run means. This result supports evidence that high P/E ratios relative to the current long-run mean will be followed by slow growth in stock prices and/or high earnings growth.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Anhänge
Nur mit Berechtigung zugänglich
Fußnoten
1
Although not discussed here, the P/E ratio can be derived from the Gordon (1962) basic stock valuation model where the price of a stock reflects present value of expected dividends.
 
2
Our results are consistent with the finding of Carlson et al. (2002) who examined the pattern of structural changes in price earning ratios. However, our analysis differs from their analysis. The mean reverting property is assumed in their analysis, while we examine the basic underlying question of whether price earning ratios are mean-reverting or not.
 
3
GAAP Net Income excluding discontinued operations and extraordinary items.
 
4
See the Appendix.
 
5
Carlson et al. (2002) provide strong evidence of structural change by using the tests that assume stationarity of the series.
 
6
More complex regime-switching models have been proposed in the literature. However, it is not the purpose of this paper to find the best fitting nonlinear model for the P/E ratio, but rather to reconcile the statistical evidence with our theoretical prior of mean reversion. As it turns out, this rather simple regime-switching model is sufficient for this purpose.
 
8
We used p = 2 for all regime switching models estimated in this paper. It also appeared reasonable to restrict the analysis to two regimes. As it is not the purpose of this paper to find the best regime switching models no further discussion on these choices is provided.
 
9
As the sampling frequency decreases, the same transition probability indicates a longer time for which the process is expected to stay in Regime 1.
 
10
Note that the probability of being in Regime 1 is 1 minus the probability of being in Regime 2, with the latter being displayed in Fig. 5.
 
Literatur
Zurück zum Zitat Amsler C, Lee J (1995) An LM test for a unit root in the presence of a structural change. Econom Theory 11:359–368CrossRef Amsler C, Lee J (1995) An LM test for a unit root in the presence of a structural change. Econom Theory 11:359–368CrossRef
Zurück zum Zitat Becker R, Enders W, Lee J (2006) A stationarity test in the presence of an unknown number of smooth breaks. J Time Ser Anal 27(3):381–409CrossRef Becker R, Enders W, Lee J (2006) A stationarity test in the presence of an unknown number of smooth breaks. J Time Ser Anal 27(3):381–409CrossRef
Zurück zum Zitat Campbell JY, Shiller RJ (1988) Stock prices, earnings, and expected dividends. Journal of Finance 43:661–676 Campbell JY, Shiller RJ (1988) Stock prices, earnings, and expected dividends. Journal of Finance 43:661–676
Zurück zum Zitat Campbell JY, Shiller RJ (2001) Valuation ratios and the long-run stock market outlook: an update. NBER Working Paper No. 8221, April 2001 Campbell JY, Shiller RJ (2001) Valuation ratios and the long-run stock market outlook: an update. NBER Working Paper No. 8221, April 2001
Zurück zum Zitat Carlson JB, Pelz EA, Wohar ME (2002) Will valuation ratios revert to their historical means? J Portf Manage 28:23–35 Carlson JB, Pelz EA, Wohar ME (2002) Will valuation ratios revert to their historical means? J Portf Manage 28:23–35
Zurück zum Zitat Elias D (1999) Dow 40, 000: strategies for profiting from the greatest bull market in history. McGraw-Hill, New York Elias D (1999) Dow 40, 000: strategies for profiting from the greatest bull market in history. McGraw-Hill, New York
Zurück zum Zitat Enders W, Granger C (1998) Unit-root tests and asymmetric adjustment with an example using the term structure of interest rates. J Bus Econ Stat 16:304–311CrossRef Enders W, Granger C (1998) Unit-root tests and asymmetric adjustment with an example using the term structure of interest rates. J Bus Econ Stat 16:304–311CrossRef
Zurück zum Zitat Enders W, Lee J (2009) Testing for a unit root with a nonlinear fourier function. Working paper. University of Alabama Enders W, Lee J (2009) Testing for a unit root with a nonlinear fourier function. Working paper. University of Alabama
Zurück zum Zitat Ferson W, Sarkissian S, Simin TT (2003) Spurious regressions in financial economics? J Finance 58(4):1393–1413CrossRef Ferson W, Sarkissian S, Simin TT (2003) Spurious regressions in financial economics? J Finance 58(4):1393–1413CrossRef
Zurück zum Zitat Glassman J, Hassett K (1999) Dow 36, 000: the new strategy for profiting from the coming rise in the stock market. Times Business, New York Glassman J, Hassett K (1999) Dow 36, 000: the new strategy for profiting from the coming rise in the stock market. Times Business, New York
Zurück zum Zitat Gordon J (1962) The investment financing and valuation of the corporation. Irwin, Homewood Gordon J (1962) The investment financing and valuation of the corporation. Irwin, Homewood
Zurück zum Zitat Goyal A, Welch I (2003) Predicting the equity premium with dividend ratios. Manage Sci 49:639–654 Goyal A, Welch I (2003) Predicting the equity premium with dividend ratios. Manage Sci 49:639–654
Zurück zum Zitat Hamilton JD (1994) Time Series Analysis, Princeton University Press, Princeton, New Jersey Hamilton JD (1994) Time Series Analysis, Princeton University Press, Princeton, New Jersey
Zurück zum Zitat Kadlec CW (1999) Dow 100,000: fact or fiction. Prentice-Hall, Old Tappan Kadlec CW (1999) Dow 100,000: fact or fiction. Prentice-Hall, Old Tappan
Zurück zum Zitat Lee C, Myers J, Swaminathan B (1999) What is the intrinsic value of the Dow? J Finance 54:1693–1742CrossRef Lee C, Myers J, Swaminathan B (1999) What is the intrinsic value of the Dow? J Finance 54:1693–1742CrossRef
Zurück zum Zitat Lee J, List J, Strazicich M (2006) Nonrenewable resource prices: deterministic or stochastic trends? J Environ Econ Manage 51:354–370CrossRef Lee J, List J, Strazicich M (2006) Nonrenewable resource prices: deterministic or stochastic trends? J Environ Econ Manage 51:354–370CrossRef
Zurück zum Zitat Lee J, Strazicich M (2003) Minimum LM unit root tests with two structural breaks. Rev Econ Statist 85:1082–1089 Lee J, Strazicich M (2003) Minimum LM unit root tests with two structural breaks. Rev Econ Statist 85:1082–1089
Zurück zum Zitat Perron P (1989) The great crash, the oil price shock, and the unit root hypothesis. Econometrica 57:1361–1401CrossRef Perron P (1989) The great crash, the oil price shock, and the unit root hypothesis. Econometrica 57:1361–1401CrossRef
Zurück zum Zitat Pontiff J, Schall LD (1998) Book-to-market ratios as predictors of market returns. J Finan Econ 49:141–160 Pontiff J, Schall LD (1998) Book-to-market ratios as predictors of market returns. J Finan Econ 49:141–160
Zurück zum Zitat Rapach D, Wohar M (2005) Valuation ratios and long-horizon stock price predictability. J Appl Econ 20:327–344CrossRef Rapach D, Wohar M (2005) Valuation ratios and long-horizon stock price predictability. J Appl Econ 20:327–344CrossRef
Zurück zum Zitat Shen P (2000) The P/E ratio and stock market performance. Econ Rev, Federal Reserve Bank of Kansas City, Fourth Quarter, 24–36 Shen P (2000) The P/E ratio and stock market performance. Econ Rev, Federal Reserve Bank of Kansas City, Fourth Quarter, 24–36
Zurück zum Zitat Siegel JJ (2000) Big-cap stocks are a sucker bet. Wall Street J, March 13, A30 Siegel JJ (2000) Big-cap stocks are a sucker bet. Wall Street J, March 13, A30
Zurück zum Zitat Siegel JJ (2004) The long-run equity risk premium. CFA Institute Conference Proceedings; Points of Inflection: New Directions for Portfolio Management, 53–59 Siegel JJ (2004) The long-run equity risk premium. CFA Institute Conference Proceedings; Points of Inflection: New Directions for Portfolio Management, 53–59
Zurück zum Zitat White CB (2000) What P/E will the U.S. stock market support? Financ Anal J, November/December, 56:30–38 White CB (2000) What P/E will the U.S. stock market support? Financ Anal J, November/December, 56:30–38
Metadaten
Titel
An empirical analysis of mean reversion of the S&P 500’s P/E ratios
verfasst von
Ralf Becker
Junsoo Lee
Benton E. Gup
Publikationsdatum
01.07.2012
Verlag
Springer US
Erschienen in
Journal of Economics and Finance / Ausgabe 3/2012
Print ISSN: 1055-0925
Elektronische ISSN: 1938-9744
DOI
https://doi.org/10.1007/s12197-010-9145-8

Weitere Artikel der Ausgabe 3/2012

Journal of Economics and Finance 3/2012 Zur Ausgabe