Correct cointegration tests of the long-run relationship between nominal interest and inflation

The Fisher (1930) hypothesis suggests that a long-run equilibrium relationship exists between the non-stationary series: nominal interest and expected inflation. Testing such a cointegrating relationship is complicated by the presence of the unobserved ex antereal rate of interest in residuals from the cointegrating regression. Assumptions concerning the stochastic properties of the expected real rate of interest are examined, and two proxies for the ex antereal rate are employed in multivariate cointegration tests of the Fisher hypothesis.     

Real interest rates,inflation and the open economy: A regime-switching perspective on Australia and New Zealand

We investigate the time-series properties of Australian and New Zealand real interest rates within a Markov-switching framework. This enables us to identify characteristics in real interest rate behavior hitherto unacknowledged. We find that rates switch between alternative stationary regimes characterized by differing means, speeds of mean-reversion and volatility. For New Zealand, high rates of inflation increase the probability of remaining in a regime characterized by a faster speed of adjustment. Further application of this methodology considers the real interest rate differential between Australia and New Zealand and points to differing regimes based on volatility rather than persistence.     

Real wages,real interest rates,and the Phillips curve

This article argues that any analysis of a Phillips curve should include the real interest rate in addition to inflation and real wages as any changes in the interest rate changes the labour–capital input mix in the production process leading to a change in the level of employment in the economy. To justify this argument a Phillips curve model is developed, which includes the real interest rate in addition to inflation and real wages. After the diagnosis of the time series properties of the data, an error correction model is developed and estimated using a set of US annual data from 1948 to 1996. The estimated parameters of the model do suggest that one should really take into consideration of the real interest rate while analysing the Phillips curve. A non-nested test (F-test) also suggests that the Phillips curve model with real interest rate as an additional variable performs better than the conventional method that does not include the real interest rate.     

Australian monetary growth and short-term nominal interest rates: an interest parity efficient markets approach

The relationship between monetary growth and nominal interest rates continues to attract considerable attention in the literature. Mishkin (1982) has found that, by explicitly imposing market efficiency in an interest rate model for the US, empirical analysis does not support the ‘Keynesian’ proposition that increases in monetary growth are associated with reductions in short-term rates. In this paper a similar theoretical structure is used but, unlike Mishkin, explicit account is taken of the fact that Australia's capital market is closely integrated with international money markets. Incorporating this into the interest rate model indicates there is some empirical support for the ‘Keynesian’ proposition in the Australian case. The analytical model also incorporates a measure of interest rate volatility to account for the risk premium present in the forward rate for 90 day bank bills.     

Real interest rates: nonlinearity and structural breaks

Real interest rate is a crucial variable that determines the consumption, investment and saving behavior of individuals and thereby acts as a key policy tool that the central banks use to control the economy. Although many important theoretical models require the real interest rates to be stationary, the empirical evidence accumulated so far has not been able to provide conclusive evidence on the mean reverting dynamics of this variable. To resolve this puzzle we re-investigate the stochastic nature of the real interest rates by developing unit root tests for nonlinear heterogeneous panels where the alternative hypothesis allows for a smooth transition between deterministic linear trends around which stationary asymmetric adjustment may occur. When the newly developed panel unit root tests are applied to the real interest rates of the 17 OECD countries, we were able to uncover overwhelming empirical support in favor of mean reversion in the short-run and long-run real interest rates. Therefore, these results show that the conclusions drawn from a miss-specified test that ignores the presence of either nonlinearity, structural breaks or cross sectional dependence can give quite misleading results about the stochastic behavior of the real interest rates.     

Output,inflation, and interest rates in an estimated optimizing model of monetary policy

This paper examines the impact of sticky price and limited participation frictions, both separately and combined, in a dynamic stochastic general equilibrium model. Using U.S. data on output, inflation, interest rates, money growth, consumption, and investment, likelihood ratio tests and Bayesian pseudo-odds measures reveal that the data prefers a model with both structural features. Our results also show that the combined model mimics many important features of the business cycle. In particular, the model generates plausible impulse responses, and monetary policy shocks are responsible for only a modest amount of output, inflation, and nominal interest rate movements.     

Real exchange rates and target interest rates in a simple VAR model

This paper proposes a simple vector autoregressions (VAR) model with (real) output and exchange rate shocks on interest rates. Rather than assuming non-recursive identification schemes, we test the identifying assumption of the error term decompositions. Applying the model to quarterly data on major currencies against the U.S. dollar (USD) from 1974 to 1997, interest rate shocks explain - after 3 years - 16% of Canadian dollar/USD (CAD) real exchange rate variations and less than 2% for the mark/USD and yen/USD. Positive innovations of interest rates bring about (transitory) CAD real appreciations in differences and (permanent) appreciations in levels. Canadian real output is more explained by domestic interest rate shocks (19%) than Germanys (5%) or Japans (0.2%). Canada is smaller than the other economies and CAD has been shown to suffer from fear of floating. Our findings support the proposition that domestic shocks dominate output variance under fixed exchange rates. They are also consistent with structural interpretations of the VAR.     

An assessment of mortgage interest inflation measurement bias in the UK

This article recognizes the highly differentiated nature of UK mortgages. Applying hedonic pricing models in the generation of interest quality adjusted indices this study would suggest the need for a 0.24 percentage point increase in the retail price index (RPI) (which, at an average RPI of 3%, represents a measurement error of 9%). Moreover, this study finds that lenders tend to restrain increases in observable initial interest rates, but more than recoup this restraint through quality adjustments. These findings question the practice of removing mortgage interest repayments from macroeconomic inflationary target measures. This indicates the need to recognize the indirect inflationary impact of base rate rises on the price of highly differentiated debt based products.     

The effects of inflation uncertainty and supply shocks on real interest rates

Increased inflation uncertainty and negative supply shocks have been suggested separately as causes of the 1970s decline in real interest rates. When both factors appear in empirical interest rate models, supply forces exert a statistically significant impact on real rates while the effect of inflation uncertainty is insignificant.     

The effects of inflation uncertainty on interest rates: a nonlinear approach

In this article, we investigate the effects of inflation variability on short-term interest rates within a nonlinear smooth transition regression framework. The test results suggest that only the conditional mean of the inflation is a nonlinear process whereas the conditional variance is time variant but linear. Using the square root of conditional variance as a proxy for inflation risk, we estimate Fisher equation augmented with inflation risk. Although the estimated Fisher equations suggest that inflation risk reduces short-term interest rates, we find that the effects of inflation risk on interest rates are regime-dependent. Particularly, we find that the negative effects of inflation variability on nominal rates are greater in low-inflationary regimes when compared to high-inflationary regimes. On the other hand, it is found that both inflation and inflation uncertainty raise the expected inflation effect.     

Real and nominal exchange rate variability

Keynote lecture presented to the annual convention of the Austrian Economic Association in Vienna, October 5 and 6, 1989. I would like to thank Paul De Grauwe, Helmut Frisch, and other participants at the convention for their comments and suggestions. I would also like to thank Jack Glen for providing the monthly exchange rate data used in Table 1.     

Budget deficits,short-term real interest rates and the specification of expected inflation: an empirical investigation

The purpose of this paper is to illustrate whether empirical estimates of the effects of budget deficits on short-term real interest rates are sensitive to the choice of the expected inflation variable. Survey data on expected inflation and the rational expectations method described by Mishkin (1981) are used to construct two measures of the short-term real interest rate. Results for two previous studies on this deficit-interest rate relationship are re-estimated using these measures of expected inflation and the interest rate variables. Additional results reported in this paper further indicate that empirical estimates of the interest rate effects of budget deficits are sensitive to the choice of the expected inflation variable. In addition to the choice of the inflation variable, a number of other robustness tests are included. We are able to conclude that (1) increases in budget deficits do not generally raise short-term real interest rates and (2) short-term real interest rates are not independent of the expected inflation variable.

The rate of interest is always based upon expectation, however little this may be justified by realization. Man makes his guess of the future and stakes his action upon it … Our present acts must be controlled by the future, not as it actually is, but as it appears to us through the veil of chance (Fisher, 1907, p. 213).     

Unit roots,interest rate spreads,and inflation forecasts

Recent research suggests that long-term interest rate spreads provide information that can be useful in forecasting inflation, but that the spread between the three-month and six-month Treasury bill rates appears to have little forecasting ability. This paper uses the concepts of unit roots and cointegration to examine the failure of the short-term T-bill spread to forecast inflation. The results suggest that the interest rate spread has little forecasting value because inflation and the interest rate spread exhibit distinctly different time-series properties.     

Inflation targeting and core inflation

Abstract.  This paper examines the interaction of core inflation and inflation targeting as a monetary policy regime. Interest in core inflation has grown because of inflation targeting. Core inflation is defined in numerous ways giving rise to many potential measures; this paper defines core inflation as the best forecaster of inflation. A cross‐country study finds before the start of inflation targeting, but not after, core inflation differs between non‐inflation targeters and inflation targeters. Through conditional regressions, inflation expectations as measured by core inflation have not changed with the advent of inflation targeting nor do they differ from non‐targeters. JEL classification: E52 and E31     

Keynes, uncertainty and interest rates

Uncertainty plays an important role in The General Theory, particularlyin the theory of interest rates. Keynes did not provide a theoryof uncertainty, but he did make some enlightening remarks aboutthe direction he thought such a theory should take. I arguethat some modern innovations in the theory of probability allowus to build a theory which captures these Keynesian insights.If this is the right theory, however, uncertainty cannot carryits weight in Keynes's arguments. This does not mean that theconclusions of these arguments are necessarily mistaken; intheir best formulation they may succeed with merely an appealto risk.     

The behaviour of expected short-term real interest rates in the UK

The existence of persistent technical inefficiency offers the opportunity for a ‘free lunch’ not typically implied by the neoclassical theory of the firm. When external effects are related to the use of particular inputs, reduction of persistent technically inefficient levels of input use represents a means of reducing external impacts. An important example is found in agriculture where substantial environmental impacts are generated by particular inputs. Within this context, this paper considers the usefulness of data envelopment analysis (DEA) for estimation of potential input reductions and assessment of potential reductions of environmental impacts of agricultural inputs. An application for French cereal production provides estimates that indicate that substantial potential exists for reduction of input use and environmental impacts.     

Linkages between property asset returns and interest rates: evidence for the UK

This paper considers the effect of short- and long-term interest rates, and interest rate spreads upon real estate index returns in the UK. Using Johansen's vector autoregressive framework, it is found that the real estate index cointegrates with the term spread, but not with the short or long rates themselves. Granger causality tests indicate that movements in short term interest rates and the spread cause movements in the returns series. However, decomposition of the forecast error variances from VAR models indicate that changes in these variables can only explain a small proportion of the overall variability of the returns, and that the effect has fully worked through after two months. The results suggest that these financial variables could potentially be used as leading indicators for real estate markets, with corresponding implications for return predictability.     

Announcements and credibility under inflation targeting

We inspect how inflation target announcements are instrumental in building central bank credibility and shaping inflation expectations. Investigating the role of announcements by using a time varying credibility measure, we find that both the accuracy and the frequency of inflation announcements have a positive impact on how much attention the public pays to target announcements.     

Real wages,inflation and labour productivity in Australia

This article presents an analysis of real wages, inflation and labour productivity interrelationships using cointegration, Granger causality and, most importantly, structural change tests. Applications of tests to Australian data over the 1965 to 2007 period corroborate the presence of a structural break in 1985 and show that a 1% increase in manufacturing sector real wages led to an increase in manufacturing sector productivity of between 0.5% and 0.8%. Comparable estimates for the effect of inflation on manufacturing sector productivity have limited statistical significance. Granger causality test results suggest that real wages and inflation both Granger cause productivity in the long run.