Testing the effectiveness of regulatory interest rate risk measurement

A depository institution's interest rate risk (IRR) exposure is the sensitivity of its earnings or market value of equity to changes in interest rates. Since the mid-1980's, bank regulators have developed broadly applied, centralized IRR models which are used to help assess individual institutions' capital adequacy. This paper tests the effectiveness of the earliest of these regulatory IRR models: the incomegap estimates calculated by the Federal Home Loan Bank Board (FHLBB) during the latter 1980's. Despite the many problems caused by the broad application of generic assumptions and the presence of embedded options, we find that the FHLBB gap estimates provided a significant measure of IRR exposure. We believe that these results bode well for the success of ongoing, more sophisticated regulatory modeling efforts.     

The natural rate of interest: An estimate for the United Kingdom

The natural rate of interest, also known as R*, is a central concept for many monetary economists. Although policymakers and commentators make judgements based on an implicit belief regarding its value, attempts to measure it are quite rare. This article uses productivity data to estimate the natural rate for the UK economy during 1998–2018. It finds that the median real natural rate up to and including 2008:2 was 2.11 per cent and has been 1.9 per cent since then. This supports the view that the natural rate can change over time and has fallen in recent years. Policymakers who use the natural rate as a benchmark should therefore monitor this more closely.     

Measuring the natural rate of interest: A note on transitory shocks

We present evidence that the natural rate of interest is buffeted by both permanent and transitory shocks. We establish this result by estimating a benchmark model with Bayesian methods and loose priors on the unobserved drivers of the natural rate. When subject to transitory shocks, the median estimate for the US economy is more procyclical, displays a less marked secular decline, and is therefore higher following the Great Recession than most estimates in the literature.     

Nominal interest rate policy rules and the feasibility of real interest rate control

In this paper the author builds a financial market model to demonstrate that policy aimed at reducing the variance in nominal interest rates reduces the information content of these variables. This has the undesirable effect of destabilizing real interest rates. The researcher demonstrates that nominal interest rate policy rules stabilize the component of the variance in the ex ante real interest rate attributable to the variance in the nominal rate. The variability of the expected inflation rate can, however, be increased by such policy rules, making the net effect of a nominal interest rate policy on the variance in the real interest rate ambiguous.     

我国利率市场化条件下商业银行利率风险管理

利率的市场化改革在推动金融深化,促进经济发展的同时,也使得商业银行所面临的利率风险加大。文章通过对利率市场化进程中商业银行的利率风险及其类型进行分析,提出了我国商业银行利率风险管理的措施。     

Bond immunization for additive interest rate shocks

This paper explores bond immunization for additive term structure models. This class of term structures contains many models that are commonly used in the duration and immunization literature. We establish the necessary and sufficient conditions for immunization and prove the existence of a bond portfolio that satisfies the immunization condition. Based upon the immunization condition, we develop a general definition of duration that applies to any additives term structure model.     

Estimating the natural rate of unemployment and testing the natural rate hypothesis

How should one measure the natural rate of unemployment? This paper proposes a systems procedure as an alternative to NAIRU. The natural rate is treated as an unobserved state variable in a system that includes measurement equations for the unemployment rate, the rate of wage growth and the rate of inflation. The model is derived from a version of the wage bargaining model of Blanchard and embodies a version of the natural rate hypothesis. The model is estimated by embedding the Kalman filter within the full-information maximum likelihood procedure. For US data, the estimated model implies substantial post-war variation in the natural rate and a negative, but weak, effect of inflation surprises on unemployment. Copyright © 1999 John Wiley & Sons, Ltd.     

Can money matter for interest rate policy?

In this paper it is shown that money can matter for macroeconomic stability under interest rate policy when transactions frictions are non-negligible. We develop a sticky price model with a shopping time function, which induces the marginal utility of consumption to depend on the (predetermined) stock of money held at the beginning of the period. Equilibrium stability and uniqueness are then ensured by a passive interest rate policy, whereas activeness is associated with an explosive equilibrium. By reacting to changes in beginning-of-period real balances, the central bank can restore stability. Interest rates further depend on lagged real balances even if the central bank acts in an entirely forward-looking way, as under discretionary optimization. If the model is revised such that end-of-period money provides transaction services, money can in principle be neglected for a stabilizing interest rate policy. Discretionary monetary policy is, however, likely to be associated with equilibrium indeterminacy, which can be avoided if interest rates are set contingent on beginning-of-period real balances.     

Bounded interest rate feedback rules in continuous-time

This paper analyzes the dynamic consequences of interest rate feedback rules in a flexible-price model where money enters the utility function. Two alternative rules are considered based on past or predicted inflation rates. The main feature is to consider inflation rates that are selected over a bounded time horizon. We prove that if the Central Bank's forecast horizon is not too long, an active and forward-looking monetary policy is not destabilizing: the equilibrium trajectory is unique and monotonic. This is an advantage with respect to active and backward-looking policies that are shown to lead to a unique but fluctuating dynamic.     

Money growth and interest rate volatility and the demand for money

In this paper the author empirically examines the effects of both money growth and interest rate volatility measures upon the demand for real balances. The findings of this study suggest that both money growth and interest rate volatility measures are statistically insignificant. However, evidence suggests a structural shift in the demand for money in the post-1979 period. Moreover, there is a noticeable change in the speed of adjustment moving from actual to desired real balances with the adjustment coefficient in the post-1979 period increasing roughly in magnitude nine and half, times the adjustment coefficient in the pre-1979 period.     

Impact study on the interest rate futures market

Any announcement from the Federal Reserve has a huge impact on the interest rate markets. The press releases from the Federal Open Market Committee (FOMC) are major inputs to the market and the random intervention model is applied to interest rate futures transaction data to measure FOMC announcement impact. Missing prices during non-trading time periods are imputed iteratively during the estimation of model parameters. The study shows that the market trading on the announcement day is different from the market trading on a non-announcement for both the Eurodollar and T-Note futures market.     

Negative interest rate policy and the yield curve

We evaluate the implications of the ECB's negative interest rate policy (NIRP) on the yield curve. To capture various shapes of the short end of the yield curve induced by the NIRP, we introduce two policy indicators, which summarize the immediate and longer horizon future monetary policy stances. We find that the four NIRP events lowered the short-term interest rate by the same amount. The impact is dampened at longer maturities for the first two event dates, due to lack of forward guidance. By contrast, for the last two dates, forward guidance drives the largest effects in two years.     

Valuation of callable accreting interest rate swaps: Least squares Monte-Carlo method under Hull-White interest rate model

Using the Hull-White interest rate model, this paper proposes a valuation method of callable accreting interest rate swap (CAIRS) and how it can be used for managing the risk of zero callable bonds (ZCBs). Firstly, CAIRS can be decomposed into accreting payer interest rate swaps and Bermudan options. Considering the financial valuation of both components, the former can be valued directly while the latter has no close-form due to its early exercise characteristics. Using the Least Squares Monte-Carlo method (LSM) proposed by Longstaff and Schwartz (2001), we find that the two options embedded in ZCB and CAIRS have the same exercise strategy since the terms of the swaps will include the bonds in practice. However, the cash flow of risk management in swaps and bonds can differ when considering the time value. Hence, CAIRS is not the best financial instrument for managing risks of ZCB under the current design.     

Interest rate dynamics and volatility transmission in the European short term interest rate market

This paper investigates the price and volatility relationship in European short-term interest rate markets. Cointegration analysis is used to analyse the long and short run relationship and a GARCH BEKK model is estimated to analyse the volatility transmission between the markets. The stability of the long run relationship is also examined using Bai and Perron (Econometrica 66(1),47–78, 1998, J Appl Econ 18(1):1–22, 2003) structural break methodology. The results show that the relationship between the EURIBOR spot deposit rate and the EURIBOR future contract has changed significantly since 2001 and several structural breaks are present in the 13 year sample period. During periods where there is a long run relationship present the spot deposit rate generally leads the future rate in price discovery. In the short run there is bi-directional causality present between the markets. There is also significant evidence of volatility transmission from the spot market to the futures market throughout the sample period.     

Nonlinear dynamics of interest rate and inflation

According to several empirical studies US inflation and nominal interest rates as well as the real interest rate can be described as unit root processes. These results imply that nominal interest rates and expected inflation do not move one‐for‐one in the long run, which is incongruent with theoretical models. In this paper we introduce a new nonlinear bivariate mixture autoregressive model that seems to fit quarterly US data (1953 : II–2004 : IV) reasonably well. It is found that the three‐month Treasury bill rate and inflation share a common nonlinear component that explains a large part of their persistence. The real interest rate is devoid of this component, indicating one‐for‐one movement of the nominal interest rate and inflation in the long run and, hence, stationarity of the real interest rate. Copyright © 2006 John Wiley & Sons, Ltd.     

Mean-variance hedging for interest rate models¶with stochastic volatility

The mean-variance hedging approach for pricing and hedging claims in incomplete markets was originally introduced for risky assets. The aim of this paper is to apply this approach to interest rate models in the presence of stochastic volatility, seen as a consequence of incomplete information. We fix a finite number of bonds such that the volatility matrix is invertible and provide an explicit formula for the density of the variance-optimal measure which is independent of the chosen times of maturity. Finally, we compute the mean-variance hedging strategy for a caplet and compare it with the optimal stategy according to the local risk minimizing approach. Received: 14 July 2000 / Accepted: 10 April 2001     

The role of demographic factors in interest rate forecasting

Slowly moving fundamental time series can be mistaken for time trends. Use of this series can increase credibility of medium-term and long-term forecasts. This paper introduces a new slowly moving fundamental time series—the age distribution of the US population—to explain trends in real US interest rates over the past 35 years. We argue that lifecycle consumption patterns at the individual level can influence aggregate saving and real interest rates. Empirical evidence is presented that supports the relationship between age distribution and expected real interest rates. Simulations of future interest rates are developed.     

Testing time series data compatibility for benchmarking

Compatibility testing determines whether two series, say a sub-annual and an annual series, both of which are subject to sampling errors, can be considered suitable for benchmarking. We derive statistical tests and discuss the issues with their implementation. The results are illustrated using the artificial series from Denton (1971) and two empirical examples. A practical way of implementing the tests is also presented.     

Optimal interest rate stabilization in a basic sticky-price model

This paper studies optimal monetary policy with the nominal interest rate as the single policy instrument. Firms set prices in a staggered way without indexation and real money balances contribute separately to households’ utility. The optimal deterministic steady state under commitment is the Friedman rule—even if the importance assigned to the utility of money is small relative to consumption and leisure. We approximate the model around the optimal steady state as the long-run policy target. Optimal monetary policy is characterized by stabilization of the nominal interest rate instead of inflation stabilization as the predominant principle.     

New Keynesian dynamics in a low interest rate environment

Recent research has found that the dynamic properties of the New Keynesian model are unorthodox when the nominal interest rate is zero. Improvements in technology and reductions in the labor tax rate lower economic activity and the size of the government purchase output multiplier is very large. This paper provides evidence that these results are not empirically relevant. We show that a prototypical New Keynesian model fit to Japanese data exhibits orthodox dynamics during Japan's episode with zero interest rates. We then demonstrate that this specification is more consistent with outcomes in Japan than alternative specifications that have unorthodox properties.