A VARMA Analysis of the Causal Relations Among Stock Returns,Real Output,and Nominal Interest Rates

Previous research has documented a negative relation between common stock returns and inflation. Recently, Fama 3 and Geske and Roll 6 have argued that this relation results from a more fundamental one between real activity and expected inflation. Stock returns, they argue, signal changes in real activity, which in turn affect expected inflation. However, unlike Fama, Geske and Roll argue that changes in real activity result in changes in money supply growth, which in turn affect expected inflation. Empirical tests have analyzed separately each link in the proposed causal chain. In this article, we investigate simultaneously the relations among stock returns, real activity, inflation, and money supply changes using a vector autoregressive moving average (VARMA) model. Our empirical results strongly support Geske and Roll's reversed causality model.     

Expected Inflation, Interest Rates, and Stock Returns

This paper documents a long-lived asymmetrical relationship between interest rate changes and subsequent stock returns. Drops in interest rates are followed by twelve months of excess stock returns, while increases in interest rates have little effect. The results are robust to the choices of short-term interest rate and stock index. These findings cannot be explained by Geske and Roll's [10] reversed causality argument; nor do they appear to result from periods of unusual interest rates or stock returns. Since interest rate changes are generally used as proxies for changes in expected inflation, the results provide new insights into previous research on inflation and stock returns, and there are important implications for the literature on time-varying risk premia.     

A Reexamination of Real Stock Returns,Real Interest Rates,Real Activity,and Inflation: Evidence from a Large Data Set

Using the informational sufficiency procedure from Forni and Gambetti (2014) along with data from McCracken and Ng (2014), we update the results of Lee (1992) and find that his vector autoregression (VAR) is informationally deficient. To correct this problem, we estimate a factor augmented VAR (FAVAR) and analyze the differences once informational deficiency is corrected with an emphasis on the relationship between real stock returns and inflation. In particular, we examine Modigliani and Cohn's (1979) inflation illusion hypothesis, Fama's (1983) proxy hypothesis, and the “anticipated policy hypothesis.”     

Real Activity, Inflation, Stock Returns, and Monetary Policy

We find that contractionary monetary policy shocks generate statistically significant movements in inflation and expected real stock returns, and that these movements go in opposite directions. Since positive shocks to output precipitate monetary tightening, we argue that the countercyclical monetary policy process is important in explaining the negative correlation between inflation and stock returns. Examining the 1979–1982 period, we find that monetary policy tightens significantly in response to positive shocks to inflation, and that the impact of monetary policy shocks on stock returns is negative and volatile. Therefore, we see evidence that an “anticipated policy” hypothesis is at work.     

实际股票收益率与通货膨胀率关系的实证研究

股票收益率与通货膨胀率之间的关系至今仍无定论.采用1991年1月到2011年8月的月度数据,运用VAR模型对我国的股票收益率与通货膨胀率之间的关系进行实证分析,结果发现不论是预期的通货膨胀还是非预期的通货膨胀与股票实际收益率都是负相关关系.表明费雪效应在我国不成立,股票并不是对冲通货膨胀风险的理想工具.     

Real Stock Returns and Inflation

This paper develops the relation between the real rate of return on the stock market and changes in the price level using a multiperiod economy with production. The observed relation between real ex post stock returns and inflation is shown to be consistent with equilibrium in an economy with rational investors. The relation between expected real returns and expected inflation is shown to depend on the form of the economy's production function and on the form of investor preferences. When the production function exhibits stochastic constant returns to scale, the model explains the negative relation between expected real returns and expected inflation which has frequently been observed in empirical studies.     

Stock Returns,Expected Returns,and Real Activity

Measuring the total return variation explained by shocks to expected cash flows, time-varying expected returns, and shocks to expected returns is one way to judge the rationality of stock prices. Variables that proxy for expected returns and expected-return shocks capture 30% of the variance of annual NYSE value-weighted returns. Growth rates of production, used to proxy for shocks to expected cash flows, explain 43% of the return variance. Whether the combined explanatory power of the variables—about 58% of the variance of annual returns—is good or bad news about market efficiency is left for the reader to judge.     

Stock Returns Under High Inflation and Interest Rates: Evidence from the Brazilian Market

We analyze the relationship of high inflation and interest rates with stock returns in Brazil from May 1986 to May 2011, during which Brazil experienced subperiods of both high inflation (May 1986-June 1994) and relative monetary stability (July 1994-May 2011). The result in the total period is dominated by high inflation volatility, and the findings suggest a bidirectional relationship between stock returns and inflation. During the high-inflation subperiod, interest rates are relevant to explain future changes in inflation and stock returns. Under low inflation, movements in interest rates are better anticipated by equity investors, suggesting higher market efficiency than in high-inflation circumstances.     

Stock Returns,Real Activity,and the Trust Question

Periodic antitrust attacks on corporations may have influenced stock prices. For the period 1904 to 1944, each antitrust case filed is associated with a 0.5 to 1.9 percent drop of the Dow, and each unexpected case with even larger drops. Other aspects of antitrust besides actual filings may help account for other movements, in particular the 1929 Crash. Historical evidence bears on the question of whether antitrust is exogenous and also links antitrust and the “corporation problem.” These results illustrate the sorts of real factors aside from changes in concurrent output that may account for stock price volatility.     

Stock Returns,Inflation, and Economic Activity: The Survey Evidence

The primary purpose of this paper is the use of survey expectations data to study the empirical relationships between stock returns, inflation, and economic activity. In the course of this analysis and as a secondary purpose, the paper discusses general considerations involving the use of expectations proxies and makes recommendations for econometric techniques. The main empirical findings are: (1) Hypothesized relationships between expected economic activity and expected inflation do not in practice appear to be important in explaining the negative relationship between expected inflation and stock returns. (2) Nevertheless, the survey data do lend some support to the hypothesis of a quantity theory relationship between expected inflation and expected economic activity, holding constant monetary growth. (3) The cross-forecaster dispersion of economic activity forecasts, a proxy for real uncertainty, appears to be a significant determinant of stock returns. Inclusion of this variable eliminates the negative impact of expected inflation.     

Real Interest Rates and Inflation: An Ex-Ante Empirical Analysis

We develop a method of measuring ex-ante real interest rates using prices of index and nominal bonds. Employing this method and newly available data, we directly test the Fisher hypothesis that the real rate of interest is independent of inflation expectations. We find a negative correlation between ex-ante real interest rates and expected inflation. This contradicts the Fisher hypothesis but is consistent with the theories of Mundell and Tobin, Darby and Feldstein, and Stulz. We also find that nominal interest rates include an inflation risk premium that is positively related to a proxy for inflation uncertainty.     

Inflation,Taxation, and Interest Rates

This paper demonstrates that the response of nominal interest rates to changes in inflationary expectations should lie between that predicted by the “Fisher” and “Darby” effects. The exact nature of the response will depend on the relative size of the income and capital gains tax rates, and the relative size of the derivatives of investment and savings to their respective after-tax real rates. The other major conclusion of this paper is that capital gains taxation offsets the negative effect on investment produced by treating depreciation on a historic rather than a replacement cost basis.     

Stock Market Returns and Inflation Forecasts

This study uses data from the Livingston survey of expectations to examine the Fisher hypothesis as a model relating expected stock returns and expected inflation. We show that the Fisher hypothesis holds much better for ex ante expectations than ex post realizations.     

Real Rates, Expected Inflation, and Inflation Risk Premia

This paper studies the term structure of real rates, expected inflation, and inflation risk premia. The analysis is based on new estimates of the real term structure derived from the prices of index-linked and nominal debt in the U.K. I find strong evidence to reject both the Fisher Hypothesis and versions of the Expectations Hypothesis for real rates. The estimates also imply the presence of time-varying inflation risk premia throughout the term structure.     

Firm Characteristics,Unanticipated Inflation,and Stock Returns

This paper re-examines the effects of nominal contracts on the relationship between unanticipated inflation and an individual stock's rate of return. This study differs in three main ways from previous research. First, announced inflation data are used to examine the effects of unanticipated inflation. Second, a different specification is used to obtain more efficient estimates. Third, additional nominal contracts are considered. The empirical results indicate that time-varying firm characteristics related to inflation predominately determine the effect of unanticipated inflation on a stock's rate of return. A firm's debt-equity ratio appears to be particularly important in determining the response.     

Stock Returns and Real Activity: A Century of Evidence

This paper analyzes the relation between real stock returns and real activity from 1889–1988. It replicates Fama's (1990) results for the 1953–1987 period using an additional 65 years of data. It also compares two measures of industrial production in the tests: (1) the series produced by Babson for 1889–1918, spliced with the Federal Reserve Board index of industrial production for 1919–1988, and (2) the new Miron and Romer (1989) index spliced with the Federal Reserve Board index in 1941. Fama's findings are robust for a much longer period—future production growth rates explain a large fraction of the variation in stock returns. The new Miron-Romer measure of industrial production is less closely related to stock price movements than the older Babson and Federal Reserve Board measures.     

Real Options,Volatility, and Stock Returns

We provide evidence that the positive relation between firm‐level stock returns and firm‐level return volatility is due to firms’ real options. Consistent with real option theory, we find that the positive volatility‐return relation is much stronger for firms with more real options and that the sensitivity of firm value to changes in volatility declines significantly after firms exercise their real options. We reconcile the evidence at the aggregate and firm levels by showing that the negative relation at the aggregate level may be due to aggregate market conditions that simultaneously affect both market returns and return volatility.