The long-run uncovered interest rate parity in view of a trading strategy

Uncovered Interest Rate Parity (UIP) states that bonds in different denomination should produce the same returns if the maturities of the bonds are the same. Given this, if a foreign bond produces a lower holding period return than a home bond of the same maturity, for their remaining lives the same foreign bond ought to produce a return higher than the home bond. A test is designed according to this relationship. With 1 to 6 year interest rate data of U.S., Britain and Germany from 1979 to 2005, our test shows that this relationship is more reliable for 6-year interest rates than the shorter rates in general. This result lends support to the long-run UIP. A trading strategy is developed by utilizing this idea. We show that positive returns can be achieved by the strategy for bonds of longer horizons. This result also serves as indirect evidence of the long-run UIP.     

A Theory of Exchange Rates and the Term Structure of Interest Rates

This paper defines the concepts of indirect and direct risk premium effects and analyzes their properties in an exchange rate model. In the model, these effects are endogenously determined in a rational expectations equilibrium. For the effect of an interest rate shock, they have the opposite signs and the indirect risk premium effect can dominate the direct risk premium effect under reasonable parameters. This means that domestic short‐term bonds and foreign bonds are complements in the model even though domestic long‐term bonds and foreign bonds are substitutes. This model, focusing on the indirect risk premium effect and on the term structure of interest rates, can be combined with a small sample bias approach to explain stylized facts about the forward premium anomaly, which is found for short‐term interest rates, but not for long‐term interest rates.     

Yield Curve and Financial Uncertainty: Evidence Based on US Data

How do short‐ and long‐term interest rates respond to a jump in financial uncertainty? We address this question by conducting a local projections analysis with US monthly data, period: 1962–2018. The state‐of‐the‐art financial uncertainty measure proposed by Ludvigson, Ma and Ng (2019) is found to predict movements in interest rates at different maturities. In particular, an increase in financial uncertainty is found to trigger a negative and significant response of both short‐ and long‐term interest rates. The response of the short end of the yield curve (i.e., of short‐term interest rates) is found to be stronger than that of the long end (i.e., of long‐term ones). In other words, a financial uncertainty shock causes a temporary steepening of the yield curve. This result is consistent, among other interpretations, with medium‐term expectations of a recovery in real activity after a financial uncertainty shock.     

Uncovered interest parity in Central and Eastern Europe: Expectations and structural breaks

This paper examines the empirical validity of the hypothesis of uncovered interest parity (UIP) using data from five Central and Eastern European countries with floating exchange rates for the period 2003 to 2014. The analysis includes forward‐looking as well as static expectations and allows for different types of structural break. The variable depicting the deviation from strict UIP is stationary when expectations are forward looking, suggesting that it is not possible to reject the UIP hypothesis with a constant risk premium. The deviation from strict UIP is however typically not stationary when expectations are static, even when structural breaks are incorporated, leading to the rejection of the UIP hypothesis with a constant risk premium. The results underscore the central role of expectations for the UIP hypothesis.     

利率期限结构与宏观经济因素的动态相依性——基于VAR模型的经验研究

利率期限结构的变化受到各种宏观经济冲击的影响,宏观经济冲击通过利率期限结构的变化影响到资产收益曲线。文章通过估计和检验结构VAR模型,发现货币冲击、供给冲击和价格冲击都对短期利率产生了持续显著的影响,而对长期利率则没有显著作用效果。宏观经济冲击只对收益曲线的截距参数具有显著影响,而对收益曲线的斜率参数和曲率参数的影响微弱。     

Uncovered Interest Parity at Long Horizons: Evidence on Emerging Economies*

This paper estimates uncovered interest parity (UIP) at long horizons using bilateral US dollar rates vis‐à‐vis mature economy and emerging market currencies. The paper finds support in favor of UIP for dollar rates vis‐à‐vis major mature economy currencies, but far less against emerging market currencies. There are also signs that political risk and the exchange risk premium help explain the empirical failure of UIP for these latter currencies. This suggests that whether UIP holds depends more on the currency than on the horizon.     

Uncovered Interest Parity: Cross‐Sectional Evidence

Uncovered interest parity (UIP) is estimated for short‐term horizons from one month to 12 months using a large number of cross‐sectional bilateral exchange rates. In contrast to conventional time‐series UIP, cross‐sectional UIP is examined with a single‐equation estimation and panel regression model estimation. The exchange rates analyzed here include a broad spectrum of countries: developed, developing, low‐inflation, and high‐inflation countries. Based on the empirical evidence, there does not appear to be a well‐publicized UIP puzzle for cross‐sectional UIP, and the slope estimates remain largely between zero and one throughout the sample periods, with a few exceptions. Evidence of UIP is more clear for low inflation countries than for high inflation countries. As interest rate maturity becomes longer from one month to 12 months, the UIP relationship becomes weaker.     

TESTING UNCOVERED INTEREST PARITY: A CONTINUOUS‐TIME APPROACH*

Nowadays researchers can choose the sampling frequency of exchange rates and interest rates. If the degree of overlap is large relative to the sample size, standard GMM asymptotic theory provides unreliable inferences in uncovered interest parity (UIP) regression tests. We specify a continuous‐time model for exchange rates and forward premia robust to temporal aggregation, unlike existing discrete‐time models. We test the UIP restrictions on the continuous‐time model parameters and propose a novel specification test that compares estimators at different frequencies. Our results based on correctly specified models provide little support for UIP at both short and long horizons.     

Uncovered Interest Parity Revisited

A standard empirical finding in international finance is that countries with high nominal interest rates experience appreciations of their currencies, in contrast to predictions based on uncovered interest parity (UIP). However, tests of UIP have almost exclusively relied on data on short-term interest rates. In this paper, UIP is tested on long-term government bond yields. Since the presence of coupon payments induces a measurement error between the observed data and true returns, several different proxies for the latter are constructed. Furthermore, instrumental variable techniques are used. In contrast to thetypical finding, the results are rather favorable to UIP.     

SHARECROPPING,LAND EXPLOITATION AND LAND‐IMPROVING INVESTMENTS*

This paper analyses the tenancy problem in a dynamic setup and addresses two long‐standing issues: inefficiency and lack of investment. It considers the problems that the tenant, with a shorter‐term interest in the farm than the landlord, might overexploit the land to maximize immediate returns even at the cost of future damages, and under‐supply long‐run productivity improving investments in land. I show that the efficient (first‐best) levels of input use and investment can be achieved (both in the steady state and in transition) by a suitable share contract which, by dampening incentives to maximize current returns, addresses the land exploitation problem, and by an appropriate cost allocation rule which can address the investment problem.     

Instability tests in cointegration relationships. An application to the term structure of interest rates

This paper tries to review, from a practitioner's point of view, the recent strand of literature on cointegration tests allowing for structural changes or parameter instability. Thus, we apply several tests using as an example the expectations model of the term structure of interest rates. The results are consistent with the existence of cointegration between the long and the short run Spanish interest rates, with a vector (1,−1), as predicted by the theory. However, there is also evidence of structural instability, mainly at the beginning of 1994, that can be attributed to the financial changes that occurred in Spain as a result of its external commitments in the process of the European Monetary Union.     

BANK OUTPUT MEASUREMENT IN THE EURO AREA: A MODIFIED APPROACH

Banks do not charge explicit fees for many of the services they provide, bundling the service payment with the offered interest rates. This output therefore has to be imputed using estimates of the opportunity cost of funds. We argue that rather than using the single short‐term, low‐risk interest rate as in current official statistics, reference rates should match the risk characteristics of loans and deposits. This would lower euro area imputed bank output by, on average, 28–54 percent compared with the current methodology, implying that euro area GDP (at current prices) is overstated by 0.11–0.18 percent. This adjustment also leads to more plausible shares in value added of income from fixed capital in the banking industry.     

Equality of interest rates revisited: the multi‐country evidence

One influential aspect of international integration of financial markets is the possibility of reducing divergences between domestic interest rates and foreign interest rates or increasing the degree to which yields in different financial markets move together over time. In this study, we investigate the convergence of the real interest rates using the Kalman filter. Applying the modified Hall et al. () approach, we model the risk premium and convergence of real interest rates using the time‐varying parameter estimation techniques. We present evidence of risk premium and convergence for two blocks of countries—The Asian‐Pacific countries including the US, Japan, Taiwan and South Korea and the US‐European group including France, the UK, Germany and the US.     

The precise form of uncovered interest parity: A heterogeneous panel application in ASEAN-5 countries

A notable feature of the empirical studies on uncovered interest parity (UIP) is that almost all published papers rely on the approximate form of UIP using substantially the same database of developed economies. It can, therefore, not be ruled out that the refusal of UIP condition is simply the outcome of a misspecification of a commonly used model and an elaborate data snooping process. In order to overcome this specification problem, this paper uses the precise form of UIP and examines its empirical validity based on a sample of ASEAN-5 member countries. Using the heterogeneous panel cointegration tests, our empirical results indicate that the gross domestic return and the uncovered gross foreign return are cointegrated in the long run. The long-run cointegrating coefficients are then estimated using the fully modified OLS (FMOLS) and the dynamic OLS (DOLS) proposed by Pedroni. The estimated long-run coefficients suggest that UIP only holds for Singapore. These results indicate that the Singapore financial market is highly integrated with the US market. As for the other four countries, the precise UIP hypothesis is strongly rejected suggesting that the financial markets in these emerging economies have not fully liberalized and, therefore, limited the international financial market integration. By examining international finance market linkages between ASEAN-5 and the US economy, we provide some policy implications that can be used as guiding tools for financing and investment decisions in ASEAN-5.     

Risk and Policy Shocks on the US Term Structure

We document two stylized facts of US short‐term and long‐term interest rate data seemingly incompatible with the expectations hypothesis: low contemporaneous cross‐correlation and relatively slow adjustment to long‐run relationships. We explain these features in a small structural model with three types of randomness: While a persistent monetary policy shock implies immediate identical reactions through the term structure, both a transitory policy shock and an autocorrelated risk premium allow for sustained deviations. Indeed, we find important impacts and persistence of risk premia and considerable contribution of transitory policy shocks to short rates. Results of standard expectations hypothesis tests can be rationalized.     

Interest linkages between the US,UK and German interest rates: should the UK join the European Monetary Union?

In light of continuing mixed results in the literature, this paper re‐examines the German Dominance Hypothesis (GDH) and considers whether the UK should join the Eurozone. For this purpose, short‐term interest rate relationships between the UK, Germany, the Eurozone and the USA, for the period January 1982 to June 2007, are studied. The policy implication of a loss of monetary autonomy for the UK in favour of Germany or the European Central Bank (ECB) would give support to the UK joining the EMU as an economic response. From the early 1980s the Bundesbank’s responsibility was to use money growth targets to keep average inflation rate down in the long run. This long run objective suggests that an appropriate methodology for testing the GDH is to test whether the German stochastic trend is a driving stochastic trend. In other words we determine whether a permanent shock to the German interest rate has a permanent effect on the UK interest rate. To this end the structural shocks in a VECM are identified by imposing long‐run restrictions of the type developed in King et al. (1991). We apply the same techniques to testing whether the UK has suffered a loss of monetary autonomy in favour of the ECB.     

Forward-premium puzzle: is it time to abandon the usual regression?

The forward premium puzzle is usually evidenced by the rejection of the null hypothesis in the uncovered interest parity (UIP) regression. Because this parity need only hold in a risk-neutral world, a risk adjustment term is missing from the equation if speculation in foreign exchange markets is risky. We deal with this issue following the literature which assumes that discounted returns on foreign government bonds are log-normal, so we can linearize the Euler pricing equations (in level) and obtain a modified UIP system for which the risk adjustment term is obtained by applying to the pricing kernel-based relations a generalized autoregressive conditional heteroscedasticity-in-mean model. However, here we innovate by adopting a methodology which differs from all these related works. We construct and use a stochastic discount factor that does not depend on a specific model, by residing in the space of returns which we extract from the data by simply imposing the orthogonality restrictions represented by the Euler equations. So, we devise a purely statistical pricing kernel that performs well in in-sample level equations. Somewhat disappointingly, the risk premium inclusion in the conventional regression changes neither the significance nor the magnitude of the forecasting power of the forward premium for most currencies we study. The contrasting performance of the tests in level and in logs suggests that linearization may be to blame.     

The existence of uncovered interest parity in the CIS countries

This paper examines uncovered interest parity (UIP) for six countries of the Commonwealth of Independent States (CIS) – Armenia, Azerbaijan, Georgia, Kazakhstan, Kyrgyzstan and Moldova – using quarterly data on spot exchange and three-month Treasury bill interest rates over the period 1995:01–2010:02. Three model specifications are used: the conventional ‘approximate’ interest differential model specified in first differences of exchange rates and the two unconventional ‘precise’ models specified in levels of exchange rates. Results obtained from the former model are consistent with UIP, since the coefficient on the interest differential is positive in all cases. These results imply that the CIS currencies offering a significant interest differential tend, on average, to depreciate over the sample period as UIP predicts. Results from the latter two models are strongly supportive of UIP in the long run in all cases, except for Armenia when a restricted specification is used, and Armenia, Moldova and Georgia when an unrestricted specification is used. Yet the deviations from UIP that are allowed in the short run may lead to the profitability of carry trade in the CIS currencies offering the significant interest differentials. The results confirm that carry trade is highly lucrative in all the CIS currencies, and outperforms the U.S. stock market.     

On the Joint Test of the Uncovered Interest Parity and the Ex‐ante Purchasing Power Parity

This study revisits the relation between the uncovered interest parity (UIP), the ex‐ante purchasing power parity (EXPPP) and the real interest parity (RIP) for the UK and Japanese vs US data. The original contribution is on developing some joint coefficient‐based tests, obtained by rewriting the UIP, the EXPPP and the RIP as a set of cross‐equation restrictions in a vector autoregression (VAR) framework. Test results point to a “forward premium” bias in both the UIP and the EXPPP. The latter result is novel in the literature and stems from testing the PPP in expectational terms. Moreover, the results suggest a currency‐dependent pattern for the UIP, contrarily to the EXPPP equation. Finally, it is shown that conditioning the VAR on M3 growth differential has important explanatory power in resolving the aforementioned biases in both the UIP and EXPPP equations for the UK vs US data. At the same time, variables having a strong forward‐looking component (i.e. share prices) help recover a unitary coefficient in the UIP equation.     

The conditional influence of term spread and pattern changes on future equity returns

We extend previous research examining the relation between interest rates and equity returns using a multivariate analysis of covariance model with a dynamic yield curve and conditioned term spread. We find yield pattern changes predict economic equity returns; that the long end-of-yield curve is a strong determinant factor; and, in contrast to previous research, we find no relation between a decrease in the short rate and equity returns. However, the conditional term spread captures a significant positive return indicating that the degree of decline in the short rate relative to the long rate is of more importance than the term spread alone.