Models of the yield curve and the curvature of the implied forward rate function

We examine several alternative models of the UK gilt yield curve using daily data for the period 12 July 1996-10 February 2010. We select the best models according to two criteria: low out of sample errors in pricing bonds and low curvature of the implied forward rate curve function. We suggest additions to some of the models that significantly improve their performance. Some of the new models out perform those typically used by the central banks. In particular this paper suggests that the model used by the Canadian Central Bank which both outperforms other models and is particularly easy to estimate, is well suited to the UK gilt market.     

Stochastic Volatility in a Macro-Finance Model of the U.S. Term Structure of Interest Rates 1961–2004

This paper generalizes the standard homoscedastic macro-finance model by allowing for stochastic volatility, using the square root specification of the mainstream finance literature. Empirically, this specification dominates the standard model because it is consistent with the square root volatility found in macroeconomic time series. Thus it establishes an important connection between the stochastic volatility of the mainstream finance model and macro-economic volatility of the Okun–Friedman type. This research opens the way to a richer specification of both macro-economic and term structure models, incorporating the best features of both macro-finance and mainstream finance models.     

Accounting for a Shift in Term Structure Behavior with No-Arbitrage and Macro-Finance Models

This paper examines a shift in the dynamics of the term structure of interest rates in the United States during the mid-1980s. We document this shift using standard interest rate regressions and using dynamic, affine, no-arbitrage models estimated for the pre- and post-shift subsamples. The term structure shift largely appears to be the result of changes in the pricing of risk associated with a "level" factor. Using a macro-finance model, we suggest a link between this shift in term structure behavior and changes in the dynamics and risk pricing of the Federal Reserve's inflation target as perceived by investors.     

Differences in Interest Rate Policy at the ECB and the Fed: An Investigation with a Medium-Scale DSGE Model

Using two estimated models for the euro area and the United States, this paper investigates whether the observed difference in the amplitude of the interest rate cycle since 1999 in both areas is due to differences in the estimated monetary policy reaction function, differences in the structure of the economy or differences in the size and nature of the shocks hitting both economies. The paper concludes that differences in the type, size and persistence of shocks in both areas can largely explain the different interest rate setting.     

Interest rates and bank risk-taking

A recent line of research views the low interest-rate environment of the early to mid 2000s as an element that triggered increased risk-taking appetite of banks in search for yield. This paper uses approximately 18000 annual observations on euro area banks over the period 2001-2008 and presents strong empirical evidence that low-interest rates indeed increase bank risk-taking substantially. This result is robust across a number of different specifications that account, inter alia, for the potential endogeneity of interest rates and/or the dynamics of bank risk. Notably, among the banks of the large euro area countries this effect is less pronounced for French institutions, which held on average a relatively low level of risk assets. Finally, the distributional effects of interest rates on bank risk-taking due to individual bank characteristics reveal that the impact of interest rates on risk assets is diminished for banks with higher equity capital and is amplified for banks with higher off-balance sheet items.     

Interest rate deregulation: Monetary policy efficacy and rate rigidity

This paper examines the effects of interest rate regulation, and subsequent deregulation, on the efficacy of monetary policy and rigidity of retail bank deposit rates in Hong Kong. Using an error-correction model, we find that interest rate deregulation increases the efficacy of monetary policy by improving the correlation between retail bank deposit rates and market interest rates and increasing the degree of long-term pass-through for retail bank deposit rates. Our study also shows that the adjustments in retail bank deposit rates are asymmetric and rigid upwards during the regulated period, but tend to be rigid downwards during the deregulated period. The spreads between retail bank deposit rates and market rates have also tightened sharply after the removal of interest rate controls.     

An Empirical Comparison of Alternative Models of the Short-Term Interest Rate

We estimate and compare a variety of continuous-time models of the short-term riskless rate using the Generalized Method of Moments. We find that the most successful models in capturing the dynamics of the short-term interest rate are those that allow the volatility of interest rate changes to be highly sensitive to the level of the riskless rate. A number of well-known models perform poorly in the comparisons because of their implicit restrictions on term structure volatility. We show that these results have important implications for the use of different term structure models in valuing interest rate contingent claims and in hedging interest rate risk.     

The Value of Interest Rate Stabilization Policies When Agents Are Learning

We examine the expectational stability (E-stability) of rational expectations equilibrium in the "New Keynesian" model where monetary policy is optimally derived and interest rate stabilization is added to the central bank's traditional objectives of inflation and output stabilization. We consider both the case where the central bank lacks a commitment technology and the case of full commitment. We show that for both cases, optimal policy rules yield rational expectations equilibria that are E-stable for a wide range of empirically plausible parameter values. These findings stand in contrast to Evans and Honkapohja's findings for optimal monetary policy rules in environments where interest rate stabilization is not a central bank objective.     

Communication by Central Bank Committee Members: Different Strategies, Same Effectiveness?

The paper assesses the communication strategies of the Federal Reserve, the Bank of England, and the European Central Bank and their effectiveness. We find that the effectiveness of communication is not independent from the decision-making process. The paper shows that the Federal Reserve has been pursuing a highly individualistic communication strategy amid a collegial approach to decision making, while the Bank of England is using a collegial communication strategy and highly individualistic decision making. The European Central Bank (ECB) has chosen a collegial approach both in its communication and in its decision making. Assessing these strategies, we find that predictability of policy decisions and the responsiveness of financial markets to communication are equally good for the Federal Reserve and the ECB. This suggests that there may not be a single best approach to designing a central bank communication strategy.     

Board Composition And Corporate Use Of Interest Rate Derivatives

We provide new evidence on the motives for corporate hedging by examining the relation between the quality of the firms' monitoring mechanisms and the quantity of interest rate derivatives employed. Because the capital structure decision and hedging decision are considered to be endogenous, the firm's capital structure and level of interest rate derivative use are modeled simultaneously. We show a positive relation between the relative influence of outside directors and the quantity of derivatives used. This evidence indicates that outside directors take an active role in derivatives usage and that firms employ hedging in the shareholders' best interests.     

An open-economy macro-finance model of international interdependence: The OECD,US and the UK

This paper develops a multi-country macro-finance model to study international economic and financial linkages. This approach models the economy and financial markets jointly using both types of data to throw light on such issues. The world economy is modelled using data for the US and aggregate OECD economies as well as the US Treasury bond market using latent variables to represent a common inflation trend and a US real interest rate factor. We find strong evidence of global effects on both the US and UK, calling into question the standard closed economy macro-finance specification. These economic linkages also help to explain the co-movement of yields in the US and UK Treasury bond markets.     

Monetary policy regimes: Implications for the yield curve and bond pricing

We develop a multivariate dynamic term structure model, which takes into account the nonlinear (time-varying) relation between interest rates and the state of the economy. In contrast to the classical term structure literature, in which nonlinearities are captured by increasing the number of latent state variables or by latent regime shifts, in our no-arbitrage framework the regimes are governed by thresholds and are directly linked to economic fundamentals. Specifically, starting from a simple monetary policy model for the short rate, we introduce a parsimonious and tractable model for the yield curve, which takes into account the possibility of regime shifts in the behavior of the Federal Reserve. In our empirical analysis, we show the merit of our approach three dimensions: interpretable bond dynamics, accurate short end yield curve pricing, and yield curve implications.     

Model Misspecification, the Equilibrium Natural Interest Rate, and the Equity Premium

This paper analyzes the natural rate of interest and the equity premium in a nonlinear model where agents are uncertain over both future technology growth and the future course of monetary policy. I show that model uncertainty, and notably uncertainty on the future course of monetary policy, can give rise to a sizable precautionary savings motive. This result is potentially problematic for both the estimation of the natural rate and its use as a policy indicator. Monetary uncertainty can also contribute to amplify the equity premium, and to account for its apparent, positive link with inflation.     

Corridor System and Interest Rates: Volatility and Asymmetry

The corridor system in its current form is believed to reduce the volatility of overnight interest rates and to eliminate any chance of persistent upward or downward bias. The model presented here serves to highlight two main findings: one is that a central bank can further reduce the volatility of overnight interest rates by allowing banks some flexibility to meet their reserve targets within a small range, as observed in the UK data. The second is that a seemingly symmetric corridor may be asymmetric in practice due to several distortions, as the UK and euro area data suggest.     

Empirical Comparisons in Short-Term Interest Rate Models Using Nonparametric Methods

This study applies the nonparametric estimation procedure tothe diffusion process modeling the dynamics of short-term interestrates. This approach allows us to operate in continuous time,estimating the continuous-time model, despite the use of discretedata. Three methods are proposed. We apply these methods totwo important financial data. After selecting an appropriatebandwidth for each dataset, empirical comparisons indicate thatthe specification of the drift has a considerable impact onthe pricing of derivatives through its effect on the diffusionfunction. In addition, a novel nonparametric test has been proposedfor specification of linearity in the drift. Our simulationdirects us to reject the null hypothesis of linearity at the5% significance level for the two financial datasets.     

Implied Volatility of Interest Rate Options: An Empirical Investigation of the Market Model

We analyze the empirical properties of the volatilityimplied in options on the 13-week US Treasury bill rate. These options havenot been studied previously. It is shown that a European style put optionon the interest rate is equivalent to a call option on a zero-coupon bond.We apply the LIBOR market model and conduct a battery of validity tests tocompare three different volatility specifications: contact, affine, and exponentialvolatility. It appears that the additional parameter in the affine and theexponential volatility function is not justified. Overall, the LIBOR marketmodel fares well in describing these options.     

Using Survey Data to Correct the Bias in Policy Expectations Extracted from Fed Funds Futures

Many studies estimate risk premiums on federal funds futures to extract monetary policy expectations by assuming that average forecast errors of the expectations are zero or that survey forecasts are good proxies for the expectations. These assumptions, however, may fail due to an unanticipated declining trend in the federal funds rate and to survey respondents' strategic behavior. Consequently, the premiums estimated under these assumptions may be biased. We propose a new method to estimate the premiums and find that the premiums have been often negative since 2000, which is generally consistent with the negative betas observed in the 2000s.     

The term structure of policy rules

A formula is derived that links the coefficients of the monetary policy rule for the short-term interest rate to the coefficients of the implied affine equations for long-term interest rates. The formula predicts that an increase in the coefficients in the monetary policy rule will lead to an increase in the coefficients in the affine equations. Empirical evidence for such a prediction is provided. The curve of the response coefficients by maturity is also predicted by the formula. The formula's predictive accuracy and its closed form make it a useful tool for studying the policy implications of embedding no-arbitrage affine theories into macro models.     

Stochastic skew in currency options

We analyze the behavior of over-the-counter currency option prices across moneyness, maturity, and calendar time on two of the most actively traded currency pairs over the past eight years. We find that, on any given date, the conditional risk-neutral distribution of currency returns can show strong asymmetry. This asymmetry varies greatly over time and often switches signs. We develop and estimate a class of models that captures this stochastic skew behavior. Model estimation shows that our stochastic skew models significantly outperform traditional jump-diffusion stochastic volatility models both in sample and out of sample.     

The Federal Reserve’s balance sheet and overnight interest rates: Empirical modeling of exit strategies

This paper provides a comprehensive study of the interplay between the Federal Reserve’s balance sheet and overnight interest rates. We model both the supply of and the demand for excess reserves. Treating outright securities holdings of the Federal Reserve as a policy tool, we estimate the effects of unconventional monetary policy on overnight funding rates. Further, we offer the first empirical assessment of the FOMC’s principles of the exit strategy. Assuming a path for removing monetary policy accommodation that is consistent with the FOMC’s exit principles, we project that the federal funds rate increases to 70 basis points by 2016, settling in a corridor bracketed by the discount rate and the interest rate on excess reserves, as excess reserves of depository institutions decline to near zero.