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How stable is the predictive power of the yield curve? evidence from Germany and the United States
Empirical research over the last decade has uncovered predictive relationships between the slope of the yield curve and subsequent real activity and inflation. Some of these relationships are highly significant, but their theoretical motivations suggest that they may not be stable over time. We use recent econometric techniques for break testing to examine whether the empirical relationships are in fact stable. We consider continuous models, which predict either economic growth or inflation, and binary models, which predict either recessions or inflationary pressure. In each case, we draw on ...
Report
One-sided test for an unknown breakpoint: theory, computation, and application to monetary theory
The econometrics literature contains a variety of two-sided tests for unknown breakpoints in time-series models with one or more parameters. This paper derives an analogous one-sided test that takes into account the direction of the change for a single parameter. In particular, we propose a sup t statistic, which is distributed as a normalized Brownian bridge. The method is illustrated by testing whether the reaction of monetary policy to inflation has increased since 1959.
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Why do interest rates predict macro outcomes?: A unified theory of inflation, output, interest and policy
Several articles published in the 1990s have identified empirical relationships between the term structure of real and nominal interest rates, on one hand, and future real output and inflation, on the other. Among these are Mishkin (1990a), Estrella and Hardouvelis (1991), Bernanke and Blinder (1992) and Fuhrer and Moore (1995). These articles demonstrate the existence of empirical predictive relationships, but the underlying economic reasons for the empirical regularities remain at least partly as puzzles. This paper presents a theoretical rational expectations model that shows how monetary ...
Report
The term structure of interest rates and its role in monetary policy for the European Central Bank
This paper examines the relationship of the term structure of interest rates to monetary policy instruments and to subsequent real activity and inflation in both Europe and the United States. The results show that monetary policy is an important determinant of the term structure spread, but is unlikely to be the only determinant. In addition, there is significant predictive power for both real activity and inflation. The yield curve is thus a simple and accurate measure that should be viewed as one piece of useful information which, along with other information, can be used to help guide ...
Journal Article
A prolegomenon to future capital requirements
Bank supervisors have made significant strides since 1980 in the area of capital requirements, and they are currently pursuing further refinements. This article looks beyond such developments at longer term supervisory goals. Abstracting to some extent from the current regulatory framework, the author attempts to delineate a set of fundamental principles for future work on capital requirements. He distinguishes minimum capital--an objective standard imposed by regulators across firms--from optimum capital--a subjective standard adopted by individual firms to cover their own risks-- and shows ...
Report
Taylor, Black and Scholes: series approximations and risk management pitfalls
Risk managers make frequent use of finite Taylor approximations to option pricing formulas, particularly of first and second order (delta and gamma). This paper shows that for a plausible range of parameter values, the Taylor series for the Black-Scholes formula diverges. Using a numerical technique developed in the paper, it is also shown that even when the series converges, finite approximations of very large order are generally necessary to achieve acceptable levels of accuracy. Implications for risk management and stress testing are discussed.