Fractionally Integrated Models With ARCH Errors: With an Application to the Swiss 1-Month Euromarket Interest Rate

We introduce ARFIMA-ARCH models, which simultaneously incorporate fractional differencing and conditional heteroskedasticity. We develop the likelihood function and we use it to construct the bias-corrected maximum (modified profile) likelihood estimator. Finite-sample properties of the estimation procedure are explored by Monte Carlo simulation. Backus and Zin (1993) have motivated the existence of fractional integration in interest rates by the persistence of the short rate and the variability of the long end of the yield curve. An empirical investigation of a daily one-month Swiss Euromarket interest rate finds a difference parameter of 0.72. This indicates non-stationary behavior. In contrast to first-order integrated models, the long-run cumulative response of shocks to the series is zero.     

Time-varying risk premium yield spread effect in term structure and global financial crisis: Evidence from Europe

The global financial crisis had a significant effect on the interest rates and the term structure of interest rates around the globe. In this paper we apply the GARCH-in-mean (GARCH-M) to study the effect of the global financial crisis on the term structure volatility, persistence of volatility, risk premium, and effects of the yield spread in five European markets; Portugal, Ireland, Italy, Greece and Spain (PIIGS). To the best of our knowledge this is the first such study in the field, and thus represents the main contribution of the paper to the literature. We investigate both the longer end and the shorter end of the term structure. We study two versions of the longer end based on the 10-year bond (long-term rate) and the two short-term rates, (three- and six-month rates). The shorter end of the term structure is based on the two short-term rates. Results indicate a substantial change in the term structure volatility, persistence of volatility, risk premium, and the effects of the yield spread due to the financial crisis. These results are found for both the longer end and the shorter end versions of the term structure.     

Three aspects of the Swiss term structure: an empirical survey

The term structure is an important transmitter of, and indicator for, monetary policy. This paper studies the Swiss term structure using monthly data from 1989 to 2005. We study the impact of the new monetary policy strategy that the Swiss National Bank (SNB) adopted at the beginning of 2000 on three aspects of the term structure. First, we test the expectations hypothesis and find it confirmed at the short end of the yield curve. At the long end, time-varying term premia seem present. Second, we ask whether the yield curve contains information regarding future inflation and economic activity. We find that a steepening of the yield curve predicted an increase in economic activity in the short term before the change in policy strategy, but not thereafter. Third, we study the contemporaneous reaction of the term structure to macroeconomic conditions and conclude that the SNB’s commitment to stabilizing inflation may have become more credible after the change in the monetary policy strategy.      

Monetary policy signaling and movements in the term structure of interest rates

This paper examines how various monetary policy signals such as repo rate changes, inflation reports, speeches, and minutes from monetary policy meetings affect the term structure of interest rates. We find that unexpected movements in the short end of the yield curve are mainly driven by unexpected changes in the repo rate. However, published inflation reports and speeches also have some impact on short rates. Speeches are found to be a more important determinant for the longer end of the term structure. Our conclusion is that central bank communication is an essential part of the conduct of monetary policy.     

2014年7月银行间市场运行报告

7月,银行间市场的主要运行特点是：人民币市场资金面整体较为宽松,市场利率以下跌为主;债券市场交投活跃,收益率曲线整体上移;人民币中间价先升后贬,交易价小幅升值;人民币利率互换曲线走升,利率互换交易量同比显著增长;汇率衍生品曲线长端上移,汇率衍生品交投活跃。     

A no-arbitrage vector autoregression of term structure dynamics with macroeconomic and latent variables

We describe the joint dynamics of bond yields and macroeconomic variables in a Vector Autoregression, where identifying restrictions are based on the absence of arbitrage. Using a term structure model with inflation and economic growth factors, together with latent variables, we investigate how macro variables affect bond prices and the dynamics of the yield curve. We find that the forecasting performance of a VAR improves when no-arbitrage restrictions are imposed and that models with macro factors forecast better than models with only unobservable factors. Variance decompositions show that macro factors explain up to 85% of the variation in bond yields. Macro factors primarily explain movements at the short end and middle of the yield curve while unobservable factors still account for most of the movement at the long end of the yield curve.     

What does a term structure model imply about very long-term interest rates?

We address two empirical issues related to the long end of the yield curve based on euro swap rates. First, for maturities longer than 20 years we find evidence for an ‘excess’ downward slope that cannot be explained by convexity. Second, volatility at the very long end of the yield curve is larger than predicted by no-arbitrage models. We construct a model-based arbitrage-free extrapolation of the yield-curve and compare it to the regulatory discount curve. Because of near-zero mean reversion, there is no convergence towards an ‘ultimate forward rate’ and convexity effects cause the arbitrage-free extrapolations to have slightly downward sloping curves. The low level of mean-reversion also implies that the volatility of long-term rates does not decline relative to the 20-year volatility. Therefore, we conclude that the mean-reversion and resulting smoothing adopted by the regulatory curve is much too strong.     

New Hope for the Expectations Hypothesis of the Term Structure of Interest Rates

Survey data on interest rate expectations permit separate testing of the two alternative hypotheses in traditional term structure tests: that the expectations hypothesis fails, and that expected future interest rates are ex post inefficient forecasts. We find that the source of the spread's poor predictions of future interest rates varies with maturity. At short maturities the expectations hypothesis fails. At long maturities, however, changes in the yield curve reflect changes in expected future rates one-for-one, an implication of the expectations hypothesis. This result confirms earlier findings that long rates underreact to short rates, but now it cannot be attributed to term premia.     

Banks’ equity performance and the term structure of interest rates

Using an extensive global sample, this paper investigates the impact of the term structure of interest rates on bank equity returns. Decomposing the yield curve to its three constituents (level, slope and curvature), the paper evaluates the time‐varying sensitivity of the bank's equity returns to these constituents by using a diagonal dynamic conditional correlation multivariate GARCH framework. Evidence reveals that the empirical proxies for the three factors explain the variations in equity returns above and beyond the market‐wide effect. More specifically, shocks to the long‐term (level) and short‐term (slope) factors have a statistically significant impact on equity returns, while those on the medium‐term (curvature) factor are less clear‐cut. Bank size plays an important role in the sense that exposures are higher for SIFIs and large banks compared to medium and small banks. Moreover, banks exhibit greater sensitivities to all risk factors during the crisis and post‐crisis periods compared to the pre‐crisis period; though these sensitivities do not differ for market‐oriented and bank‐oriented financial systems.     

The realized forward term premium in the repo market

Repurchase agreements for general-collateral government debt measure the short-term cost of riskless borrowing, thus avoiding issues relating to specialness of Treasury offerings or irregular term-to-maturity in the Treasury bill market. The spread between reverse and repo rates has previously been ignored by researchers who find that the pure expectation hypothesis either holds at this extremely short end of the term structure or that observed deviations from the expectations hypothesis are not economically significant. This paper shows that the time-varying realized forward premium at the short-end of the yield curve is consistently positive when accounting for the spread between repurchase and reverse repurchase agreement rates.     

Decreasing Yield Curves in a Model with an Unknown Constant Growth Rate

The effect of incomplete information on the term structure ofinterest rates is examined in the framework of a pure exchangeeconomy under uncertainty where aggregate output grows at aconstant rate. If the growth rate is known, the term structure isflat. In contrast, the term structure is a decreasing curve whenagents do not know the growth rate. Long term yields are less thanthe short rate and the yield of long term bonds is determined bythe worst possible realizations of future short rates.     

中国的利率体系与利率市场化改革

利率对宏观经济均衡和资源配置有重要导向意义。央行确定政策利率要符合经济规律、宏观调控和跨周期设计需要。目前,中国的真实利率略低于经济增速,处于较为合理水平。中国已形成较为完整的市场化利率体系,主要通过货币政策工具调节银行体系流动性,释放政策利率调控信号,在利率走廊的辅助下,引导市场基准利率以政策利率为中枢运行,并通过银行体系传导至贷款利率,调节和优化资源配置,实现货币政策目标。中国具备继续实施正常货币政策的条件,将尽可能地延长正常货币政策的时间,目前不需要实施资产购买操作。在市场化利率体系中,收益率曲线非常重要,它反映利率由短及长的期限结构,可为各类金融产品和市场主体提供定价参考。收益率曲线的短端为货币市场基准利率,直接受央行货币政策操作的影响;长端则为国债收益率,主要反映市场对未来宏观经济走势的预期。经过多年发展,我国的国债收益率曲线应用日益广泛,整体趋于成熟,而在市场基础方面还有进一步提升的空间。     

The Empirical Implications of the Cox,Ingersoll, Ross Theory of the Term Structure of Interest Rates

The one-factor version of the Cox, Ingersoll, and Ross model of the term structure is estimated using monthly quotes on U.S. Treasury issues trading from 1952 through 1983. Using data from a single yield curve, it is possible to estimate implied short and long term zero coupon rates and the implied variance of changes in short rates. Analysis of residuals points to a probable neglected tax effect.     

The Narrow Channel of Quantitative Easing: Evidence from YCC Down Under

We study the recent Australian experience with yield curve control (YCC) as perhaps the best evidence of how this policy might work in other developed economies. YCC seemingly worked well in 2020, when the market expected short rates to stay at zero for a long period of time. As the global recovery and inflation gained momentum in 2021, liftoff expectations moved up, the Reserve Bank of Australia purchased most of the targeted government bond outstanding, and the target bond's yield dislocated from other financial market instruments. The evidence suggests that central bank bond purchase programs can operate more narrowly than previously considered.     

Integration and interdependence of stock and foreign exchange markets: an Australian perspective

This paper examines the integration of the Australian stock market with its two leading trading partners, the US and Japan. In investigating the extent of integration, this study takes into account the interdependence between foreign exchange rates and stock prices, since exchange rates influence international competitiveness of firms, and, via interest rates, the cost of capital. The results indicate that there was a stable long-run relationship among the Australian, US and Japanese markets prior to the Asian crisis but that this relationship disappeared in the post-Asian crisis period. An analysis of the short-run dynamic linkages among markets suggests that, following the Asian crisis, the US influence on the Australian market diminished while the influence of Japan remained at a modest level. Furthermore, the impulse response analysis indicates only a contemporaneous transmission of shocks from one market to other markets. Confidence intervals for impulse responses are estimated using the bootstrap-after-bootstrap method.     

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.     

The value of convexity: a theoretical and empirical investigation

We explore from a theoretical and an empirical perspective the value of convexity in the US Treasury market. We present a quasi-model-agnostic approach that is rooted in the existence of some affine model capable of recovering with good accuracy the market yield curve and covariance matrix. As we show, at least one such model exists, and this is all we require for our results to hold. We show that, as a consequence, the theoretical ‘value of convexity’ purely depends on observable features of the yield curve, and on statistically determinable yield volatilities. We then address the question of whether the theoretical convexity is indeed correctly reflected in the shape of the yield curve. We present empirical results about the predictive power of a strategy based on the discrepancies between the theoretical and the predicted value of convexity. By looking at 30 years of data, we find that neither the strategy of being systematically long or short convexity (and immunized against ‘level’ and ‘slope’ risk) would have been profitable. However, a conditional strategy that looks at the difference between the ‘implied’ and the statistically estimated value of convexity would have identified extended periods during which the proposed approach would have delivered attractive Sharpe Ratios.     

The intraday multivariate structure of the Eurofutures markets

We investigate the multivariate intraday structure in interest rates, focusing on implied forward rates from Eurofutures contracts. Since futures markets are the most liquid for interest rate instruments and they yield high-quality intraday data, it is somehow surprising that their intraday behavior has not been thoroughly studied in the literature.We find interesting similarities with the foreign exchange market: scaling law, intraday patterns, all of which point to the heterogeneity of market participants. Other properties like asymmetric causal information flow between fine and coarse volatilities for the same time series are present in our data. There are also lead–lag correlations across the term structure of implied forward rates, but they tend to disappear as markets mature.A principal component analysis of the short end of the yield curve allows us to determine the most important components and to reduce the number of time series needed to describe the term structure. We find the decomposition rather stable over time. The first component, which describes the curve level, shows an asymmetry in the information flow between volatilities of different time resolution, i.e., the coarse-grained volatility predicts the fine-grained volatility better than the other way around, as observed in the foreign exchange market. The remaining components do not show such an effect, having instead significant negative autocorrelations for the time series themselves. A heterogeneous autoregressive conditional heteroskedasticity (HARCH) model is estimated for the first component and the impact of different market agents is discussed.     

The Federal Reserve,the Emerging Markets,and Capital Controls: A High‐Frequency Empirical Investigation

In this paper, I use weekly data from seven emerging nations—four in Latin America and three in Asia—to investigate the extent to which changes in Fed policy interest rates have been transmitted into domestic short‐term interest rates during the 2000s. The results suggest that there is indeed an interest rates “pass‐through” from the Fed to emerging markets. However, the extent of transmission of interest rate shocks is different—in terms of impact, steady state effect, and dynamics—in Latin America and Asia. The results also indicate that capital controls are not an effective tool for isolating emerging countries from global interest rate disturbances. Changes in the slope of the U.S. yield curve, including changes generated by a “twist” policy, affect domestic interest rates in emerging countries. I also provide a detailed case study for Chile.     

The great moderation of the term structure of UK interest rates

The conduct of monetary policy, the term structure of interest rates and the structure of the economy in the UK have changed over the post-WWII period. We model the interaction between the macroeconomy and financial markets using a time-varying VAR augmented with the factors from the yield curve. There is evidence of a great moderation in the dynamics of the yield curve, with the factors being persistent and volatile before the introduction of inflation targeting in 1992 but becoming stable afterwards. The introduction of time-variation in the Factor Augmented VAR improves the fit of the model and results in expectation hypothesis consistent yields that are close to actual yields, even at long maturities. Monetary policy shocks had a significant impact on the volatility of inflation, output and the policy rate over the pre-inflation targeting era, but their contribution has been negligible under the current regime. Shocks to the level of the yield curve accounted for a large fraction of inflation variability only before 1992.