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The Lucas hypothesis on monetary shocks: evidence from a GARCH-in-mean model

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Abstract

In this paper, we review the Lucas hypothesis that the impact on real output to unanticipated nominal shocks is inversely related across countries to the variability of such shocks. In doing so, we model money supply volatility explicitly to capture important volatility effects that previous work has ignored. Using postwar data from 39 countries, we find empirical evidence in favor of the hypothesis. Our results are robust to data mining, alternative data frequencies, alternative measures of nominal shocks and monetary policy instruments, and alternative measures of the level of economic activity.

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Notes

  1. See, for example, Mascaro and Meltzer (1983), Evans (1984), Belongia (1984), Tatom (1984, 1985), McMillin (1988), Grier and Tullock (1989), Ramey and Ramey (1995), Grier and Perry (2000), among others.

  2. See, for example, Engle (1982), Bollerslev (1986), Kroner and Lastrapes (1993), Grier et al. (2004), Elder (2004), Serletis and Shahmoradi (2006), and others.

  3. See, for example, Dickey et al. (1991), Friedman and Kuttner (1992), and Miller (1991).

  4. The test is available in RATS Econometrics Software.

  5. We conducted the same tests in log levels of the variables and find that the null hypothesis of a unit root cannot be rejected at conventional significance levels for most of the countries.

  6. For a given country, we also conducted an F-test of the null hypothesis that the coefficients in the money supply equation are all zero, and the hypothesis is rejected at a conventional level of significance.

References

  • Alberro J (1981) The Lucas hypothesis on the Philips Curve: further international evidence. J Monet Econ 7:239–250

    Article  Google Scholar 

  • Athans M (1974) The importance of Kalman filtering methods for economic systems. Annal Econ Social Meas 3:49–64

    Google Scholar 

  • Attfield CLF, Duck NW (1983) The influence of unanticipated money growth on real output: some cross-country estimates. J Money Credit Bank 15:442–454

    Article  Google Scholar 

  • Barnett WA (1980) Economic monetary aggregates: an application of aggregation and index number theory. J Econom 14:11–48

    Article  Google Scholar 

  • Barnett WA, Chauvet M (2009) International financial aggregation and index number theory: a chronological half-century empirical overview. Open Econ Rev 20:1–37

    Article  Google Scholar 

  • Barro RJ (1977) Unanticipated Money Growth and Unemployment in the United States. American Economic Review 67:101–115

    Google Scholar 

  • Barro RJ (1978) Unanticipated money, output, and the price level in the Unites States. J Polit Econ 86:549–580

    Article  Google Scholar 

  • Belongia M (1984) Money growth variability and GNP. Fed Reserve Bank St. Louis Rev 66:23–31

    Google Scholar 

  • Bernanke Ben S (1983) Irreversibility, uncertainty, and cyclical investment. Q J Econ 98:85–106

    Article  Google Scholar 

  • Bollerslev T (1986) Generalized autoregressive conditional heteroscedasticity. J Econom 31:307–327

    Article  Google Scholar 

  • Dickey DA, Fuller WA (1981) Likelihood ratio statistics for autoregressive time series with a unit root. Econometrica 49:1057–1072

    Article  Google Scholar 

  • Dickey DA, Jansen DW, Thornton DL (1991) A primer on cointegration with an application to money and income. Fed Reserve Bank St. Louis Rev 73:58–78

  • Elder J (2004) Another perspective on the effects of inflation uncertainty. J Money Credit Bank 36:912–928

    Article  Google Scholar 

  • Engle RF (1982) Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation. Econometrica 50:987–1007

    Article  Google Scholar 

  • Engle RF, Kroner KF (1995) Multivariate simultaneous generalized ARCH. Econom Theory 11:122–150

    Article  Google Scholar 

  • Engle RF, Granger CW (1987) Cointegration and error correction: representation, estimation and testing. Econometrica 55:251–276

    Article  Google Scholar 

  • Evans P (1984) The effects on output of money growth and interest rate volatility in the United States. J Polit Econ 92:204–222

    Article  Google Scholar 

  • Friedman BM, Kuttner KN (1992) Money, income, prices, and interest rates. Am Econ Rev 82:472–492

    Google Scholar 

  • Froyen RT, Roger WN (1980) Further international evidence on output-inflation tradeoffs. Am Econ Rev 70:409–421

    Google Scholar 

  • Grier KB, Tullock G (1989) An empirical analysis of cross-national economic growth, 1951–80. J Monet Econ 24:259–276

    Article  Google Scholar 

  • Grier KB, Perry MJ (2000) The effects of real and nominal uncertainty on inflation and output growth: some GARCH-M evidence. J Appl Econom 15:45–58

    Article  Google Scholar 

  • Grier KB, Ólan T, Henry N, Olekalns, Shields K (2004) The asymmetric effects of uncertainty on inflation and output growth. J Appl Econom 19:551–565

  • Jarque CM, Bera AK (1980) Efficient tests for normality, homoscedasticity, and serial independence of regression residuals. Econ Lett 6:255–259

    Article  Google Scholar 

  • Kilian L, Vega C (2011) Do energy prices respond to U.S. macroeconomic news? A test of the hypothesis of predetermined energy prices. Rev Econ Stat 93:660–671

    Article  Google Scholar 

  • Kim C-J, Nelson CR (1989) The time-varying-parameter model for modeling changing conditional variance: the case of the Lucas hypothesis. J Bus Econ Stat 7:433–440

    Google Scholar 

  • Kwiatkowski D, Phillips PCB, Schmidt P, Shin Y (1992) Testing the null hypothesis of stationarity against the alternative of a unit root. J Econom 54:159–178

    Article  Google Scholar 

  • Kormendi RC, Meguire PG (1984) Cross-regime evidence of macroeconomic rationality. J Polit Econ 92:875–908

    Article  Google Scholar 

  • Kroner KF, Lastrapes WD (1993) The impact of exchange rate volatility on international trade: reduced form estimates using the GARCH-in-mean model. J Int Money Finance 12:298–318

    Article  Google Scholar 

  • Ljung T, Box G (1979) On a measure of lack of fit in time series models. Biometrica 66:66–72

    Article  Google Scholar 

  • Lucas RE Jr (1973) Some international evidence on output-inflation tradeoffs. Am Econ Rev 63:326–334

  • Mascaro A, Meltzer AH (1983) Long and short-term interest rates in a risky world. J Monet Econ 12:485–518

    Article  Google Scholar 

  • McMillin WD (1988) Money growth volatility and the macroeconomy. J Money Credit Bank 20:319–335

    Article  Google Scholar 

  • Miller MS (1991) Monetary dynamics: an application of cointegration and error-correction modeling. J Money Credit Bank 23:139–154

    Article  Google Scholar 

  • Pagan A (1984) Econometric issues in the analysis of regressions with generated regressors. Int Econ Rev 25:221–247

    Article  Google Scholar 

  • Pindyck RS (1991) Irreversibility, uncertainty, and investment. J Econ Lit 29:1110–1148

    Google Scholar 

  • Ramey G, Ramey VA (1995) Cross-country evidence on the link between volatility and growth. Am Econ Rev 85:1138–1151

    Google Scholar 

  • Serletis A, Shahmoradi A (2006) Velocity and the variability of money growth: evidence from a VARMA, GARCH-M model. Macroecon Dyn 10:652–666

    Article  Google Scholar 

  • Tatom JA (1984) Interest rate variability: its link to the variability of monetary growth and economic performance. Fed Reserve Bank St. Louis Rev 66:31–47

    Google Scholar 

  • Tatom JA (1985) Interest rate variability and economic performance: further evidence. J Polit Econ 93:1008–1018

    Article  Google Scholar 

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Correspondence to Sajjadur Rahman.

Additional information

I would like to thank Apostolos Serletis, Robert Lucas at the University of Saskatchewan, Max Chaban, Andy Pollak, Pat Coe, Ana Maria Herrera, two anonymous referees, and seminar participants at the 88th WEAI annual conference in Seattle for helpful comments.

Appendix

Appendix

See Table 7.

Table 7 Estimates of variance equations

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Rahman, S. The Lucas hypothesis on monetary shocks: evidence from a GARCH-in-mean model. Empir Econ 54, 1411–1450 (2018). https://doi.org/10.1007/s00181-017-1270-1

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