The Term Structure Of Real Rates And Expected Inflation

Changes in nominal interest rates must be due to either movements in real interest rates or expected inflation, or both. We develop a term structure model with regime switches, time-varying prices of risk and inflation to identify these components of the nominal yield curve. We find that the unconditional real rate curve is fairly flat at 1.44%, but slightly humped. In one regime, the real term structure is steeply downward sloping. Real rates (nominal rates) are pro-cyclical (counter-cyclical) and inflation is negatively correlated with real rates. An inflation risk premium that increases with the horizon fully accounts for the generally upward sloping nominal term structure. We find that expected inflation drives about 80% of the variation of nominal yields at both short and long maturities, but during normal times, all of the variation of nominal term spreads is due to expected inflation and inflation risk.

Inflation is regarded by the many as a menace that damages business and can only make life worse for households. Keeping it low depends critically on ensuring that firms and workers expect it to be low. So expectations of inflation are a key influence on national economic welfare. This collection pulls together a galaxy of world experts (including Roy Batchelor, Richard Curtin and Staffan Linden) on inflation expectations to debate different aspects of the issues involved. The main focus of the volume is on likely inflation developments. A number of factors have led practitioners and academic observers of monetary policy to place increasing emphasis recently on inflation expectations. One is the spread of inflation targeting, invented in New Zealand over 15 years ago, but now encompassing many important economies including Brazil, Canada, Israel and Great Britain. Even more significantly, the European Central Bank, the Bank of Japan and the United States Federal Bank are the leading members of another group of monetary institutions all considering or implementing moves in the same direction. A second is the large reduction in actual inflation that has been observed in most countries over the past decade or so. These considerations underscore the critical – and largely underrecognized - importance of inflation expectations. They emphasize the importance of the issues, and the great need for a volume that offers a clear, systematic treatment of them. This book, under the steely editorship of Peter Sinclair, should prove very important for policy makers and monetary economists alike.

We study how differences in beliefs about expected inflation affect the nominal term structure when investors have “catching up with the Joneses” preferences. In the model, “catching up with the Joneses” preferences help to match the level and slope of yields as well as the level of yield volatilities. Disagreement about expected inflation helps to match the dynamics of yields and yield volatilities. Expected inflation disagreement induces a spillover effect to the real side of the economy with a strong impact on the real yield curve. When investors share common preferences over consumption relative to the habit with a coefficient of relative risk aversion greater than one, real average yields across all maturities rise as disagreement increases. Real yield volatilities also rise with disagreement. To develop intuition concerning the role of different beliefs between investors, we consider a case where the real and nominal term structures can be computed as weighted-averages of quadratic Gaussian term structure models. We numerically find increased disagreement about expected inflation between the investors increases nominal yields and nominal yield volatilities at all maturities. We find empirical support for these predictions.

This paper sheds light on a narrow but crucial question in finance: What should be the parameters of a model of the short-term real interest rate? Although models for the nominal interest rate are well studied and estimated, dynamics of the real interest rate are rarely explored. Simple ad hoc processes for the short-term real interest rate are usually assumed as building blocks for more sophisticated models. In this paper, parameters of the real interest rate model are estimated in the broad class of single-factor interest rate diffusion processes on U.S. monthly data. It is shown that the elasticity of interest rate volatility—the relationship between the volatility of changes in the interest rate and its level—plays a crucial role in explaining real interest rate dynamics. The empirical estimates of the elasticity of the real interest rate volatility are found to be about 0.5, much lower than that of the nominal interest rate. These estimates show that the square root process, as in the Cox-Ingersoll-Ross model, provides a good characterization of the short-term real interest rate process.

Frederick Mishkin's work has been dedicated to understanding the relationship between money, interest rates and inflation. The 15 essays in this collection - unabashedly empirical and rigorous - include much of Professor Mishkin's most highly regarded work. Money, Interst Rates and Inflation offers a coherent and informative assessment of how monetary policy affects the economy. In addition, the essays in this collection illustrate how rational expectations econometrics can be used to answer basic questions in the monetary-macroeconomics and finance areas.

This paper provides evidence on what the term structure (for maturities of twelve months or less) tells us about future inflation in ten OECD countries. The empirical results on the information in the term structure contrast with those that find that the level of interest rates help forecast the future level of inflation. Instead, they indicate that for the majority of the countries in the sample, the term structure does not contain a great deal of information about the future path of inflation. The results for France, the United Kingdom and Germany tell a different story, however. In these countries, the term structure contains a highly significant amount of information about future changes in inflation. The evidence in this paper suggests that central banks for most of the countries studied here should exercise some caution in using the term structure of interest rates as a guide for assessing inflationary pressures in the economy, as is currently under consideration in the U.S. central bank. Although there is significant information in the term structure about the future path of inflation for a few of the countries, this is not a result that is true in general. The empirical evidence does reveal, however, that for every country studied except the United Kingdom, there is a great deal of information in the term structure of nominal' interest rates about the term structure of real' interest rates. This finding is an extremely useful one because it suggests that for most countries researchers can examine observable data on the nominal term structure to provide them with information about the behavior of the real' term structure.