Equality of Real Returns on Canadian and US Treasury Bills: A Fractional Cointegration Analysis

This paper empirically analyzes the long memory relationship between the real returns on Canadian and US Treasury bills. A fractional cointegration approach, instead of conventional integer integration (unit root) and cointegration approaches, is used in analyzing the relationship. The advantage of fractionally integrated models is that they allow a smooth transition from a stationary process to a unit-root process. Furthermore, such models embody unit-root models as a special case. The models are therefore more general and appropriate for empirical analysis. By using fractionally integrated models, one also resolves the problems of an inconsistency in test results associated with using unit root and cointegration approaches. Briefly, it is found that the real returns on Canadian and US Treasury bills are fractionally integrated and the order of integration is significantly less than unity. Furthermore, the difference between the real returns follows a stationary process. This indicates that the Canadian and the US capital markets as well as product markets are well integrated. Furthermore, the domestic monetary authorities will not be able to influence the domestic real interest rate independent of the other market in the long-run.     

Cointegration, Efficiency and Forecasting in the Currency Market

Existing literature on using the cointegration approach to examine the efficiency of the foreign exchange market gives mixed results. Arguments typically focus on econometric testing techniques, with fractional cointegration being the most current one. This paper tries to look at the issue from an economic perspective. It shows that the cointegrating relationship, whether cointegrated or fractionally cointegrated, is found mainly among the currencies of the European Monetary System which are set to fluctuate within a given range. Hence, there is no inconsistency with the notion of market efficiency. Yet, exploiting such a cointegrating relationship is helpful in currency forecasting. There is some evidence that restricting the forecasting model to consist of only cointegrated currencies improves forecasting efficiency.     

Testing for capital mobility: New evidence from a panel of G7 countries

In this paper, we test the savings-investment relationship for the G7 countries. Upon applying the Gregory and Hansen [Gregory, A.W., Hansen, B.E., 1996. Residual-based tests for cointegration in models with regime shifts, J. Econ. 70, 99-126] residual-based structural break test for cointegration for each of the G7 countries, we did not find any evidence of a cointegrating relationship between savings and investment. Extending the analysis to a panel framework, we could not establish any evidence of panel cointegration. Taken together, our findings suggest that capital in these G7 countries is highly mobile since no long-term relationship exists between savings and investment.     

Relationship between Treasury bills and Eurodollars: Theoretical and Empirical Analyses

In this paper, we derive an equilibrium relationship between the yields on Eurodollar and Treasury bills based on equivalent martingale results derived by Harrison and Kreps (1979) and Harrison and Pliska (1981, 1983) as well as the corporate debt pricing model developed by Merton (1974). The derived equilibrium relationship incorporates the models used by Booth and Tse (1995) and Shrestha and Welch (2001) as special cases. The equilibrium relationship indicates that the conditional volatility of the yield on Eurodollars explains the variation in the TED spread. We empirically test the equilibrium relationship using a GARCH-M model and the concept of fractional cointegration. We use both the ex ante data implied by the respective futures contracts as well as the ex post spot data with daily, weekly and monthly frequencies. We find empirical support for the Equilibrium relationship.

A Test of Integration and Cointegration of Commercial Mortgage Rates

Little empirical work examines the extent to which commercial mortgage markets are integrated into broader capital markets. We use time series data on commercial mortgage yields and yields on comparable-maturity Treasury securities to identify a long-run cointegrating relationship between the two yield series. Our empirical evidence suggest that, while the yield on commercial mortgage is cointegrated with that on comparable-maturity Treasury securities, the cointegrating relationship is far less than that found between the yield on residential mortgage rates and that on comparable-maturity Treasury securities during 1980–1990 time period. However, our results also show that the spate of commercial mortgage securitization that began in early 1991 may have been a market-integrating force and caused the commercial mortgage market to become more integrated into broader capital markets. Indeed, our results suggest that changes in capital market rates are now much more rapidly reflected in commercial mortgage rates than in the 1980–1990 time period, although there is a lag.     

Cross-Hedging: Basis Risk and Choice of the Optimal Hedging Vehicle

The basis between a futures contract and its underlying instrument is an important measure of the cost of using the futures contract to hedge. In a cross-hedge, the relative size of the basis of alternative hedging vehicles often plays a decisive role in the selection of the optimal hedging vehicle. After adjusting hedge ratios for basis risk, a genuine risk-cost trade-off is seen in hedging 90-day certificates of deposit with either the Treasury bill contract or the Eurodollar contract. The Eurodollar contract was not uniformly superior as generally believed.     

Do the stock and CDS markets price credit risk equally in the long-run?

In this paper, we examine the existence and stability of the long-run equilibrium relation between the price of credit risk in the stock and CDS markets for a sample of non-financial iTraxx Europe companies during the 2004–2017 period. We show that standard cointegration tests with no breaks frequently fail to detect cointegration. Once we formally account for the breaks in the cointegrating vector, we are able to detect cointegration over the entire sample period for the vast majority of the companies considered. An application of these results to CDS-equity trading shows that the profitability of traditional trading strategies crucially depends on the presence of cointegration and on the stability of the cointegrating vector. Finally, we find that CDS illiquidity factors decrease the likelihood of the stock and CDS market cointegration.     

Foreign exchange,fractional cointegration and the implied–realized volatility relation

Almost all relevant literature has characterized implied volatility as a biased predictor of realized volatility. In this paper we provide new time series techniques to investigate the validity of this finding in several foreign exchange options markets, including the Euro market. First, we develop a new fractional cointegration test that is shown to be robust to both stationary and non-stationary regions. Second, we employ both intra-day and daily data to measure realized volatility in order to assess the relevance of data frequency in resolving the bias. Third, we use data on implied volatility traded on the market. In contrast to previous studies, we show that the frequency of data used for measuring realized volatility within a fractionally cointegrating framework is important for the results of unbiasedness tests. Significantly, for many popular exchange rates, the use of intra-day rather than daily data affects the emergence of a different bias, as the possibility of a fractionally integrated risk premium admits itself!     

How Large Are Housing and Financial Wealth Effects? A New Approach

This paper presents a simple new method for measuring “wealth effects” on aggregate consumption. The method exploits the stickiness of consumption growth (sometimes interpreted as reflecting consumption “habits”) to distinguish between immediate and eventual wealth effects. In U.S. data, we estimate that the immediate (next quarter) marginal propensity to consume from a $1 change in housing wealth is about 2 cents, with a final eventual effect around 9 cents, substantially larger than the effect of shocks to financial wealth. We argue that our method is preferable to cointegration‐based approaches, because neither theory nor evidence supports faith in the existence of a stable cointegrating vector.     

Fisher Hypothesis Revisited: A Fractional Cointegration Analysis

This paper investigates the validity of the Fisher hypothesis using data from thirtythree developed and developing countries. Conventional cointegration tests do not provide strong evidence for a relation between nominal interest rates and inflation. Therefore, we use fractional cointegration analysis to test the long-run relationship between the two variables. The results indicate that a long-run relation between nominal interest rates and inflation does not appear for most countries in the sample when the conventional cointegration test is employed. However, fractional cointegration between the two variables is found for a large majority of countries, implying the validity of the Fisher hypothesis. The results also indicate that the equilibrium errors display long memory.     

Fractional Cointegration Analysis of Securitized Real Estate

This paper uses fractional cointegration analysis to examine whether long-run relations exist between securitized real estate returns and three sets of variables frequently used in the literature as the factors driving securitized real estate returns. That is, we examine whether such relationships are characterized by long memory (long-range dependence), short memory (short-range dependence), mean reversion (no long-run effects) or no mean reversion (no long-run equilibrium). The forecasting implications are also considered. Empirical analyses are conducted using data for the U.S., the U.K., and Australia. We find strong evidence of fractional cointegration between securitized real estate and the three sets of variables. Such relationships are mainly characterized by short memory although long memory is sometimes present. The use of fractional cointegration for forecasting purposes proves particularly useful since the start of the financial crisis.     

Fractional cointegration and real exchange rates

This paper uses fractional integration and cointegration to model the DM-US dollar and the yen-US dollar real exchange rates in terms of both monetary and real factors, more specifically real interest rate and labour productivity differentials. We find that whilst the individual series may be integrated of order 1, their long-run relationship might have a fractionally cointegrated structure. This means that mean reversion occurs, consistently with the findings of other studies. However, it also indicates, in contrast to such studies, that the cointegrating relationship possesses long memory. In other words, the error correction term responds slowly to shocks, implying that deviations from equilibrium are long-lived. It appears that only a combination of real and monetary variables can accurately track down the movements of real exchange rates.     

Comovements of earnings, dividends, and stock prices

We investigate the comovements of the log of earnings, dividends, and stock prices by testing for the number of common stochastic trends among these series. We find that the three series are cointegrated with a single cointegrating vector. Our findings collectively imply that (i) there is an equilibrium force that tends to keep these series together over time, (ii) changes in dividends are primarily influenced by changes in some measure of permanent earnings, and (iii) a substantial fraction of stock price movement is driven by neither earnings changes nor dividend changes. When we take into account the cointegration relationship, we find that the dynamic relationship between these variables is significantly affected. We present a common stochastic trends model of earnings, dividends, and stock prices, whose implications are broadly consistent with these findings.     

Testing the expectations hypothesis when interest rates are near integrated

Nominal interest rates are unlikely to be generated by unit-root processes. Using data on short and long interest rates from eight developed and six emerging economies, we test the expectations hypothesis using cointegration methods under the assumption that interest rates are near integrated. If the null hypothesis of no cointegration is rejected, we then test whether the estimated cointegrating vector is consistent with that suggested by the expectations hypothesis. The results show support for cointegration in 10 of the 14 countries we consider, and the cointegrating vector is similar across countries. However, the parameters differ from those suggested by theory. We relate our findings to existing literature on the failure of the expectations hypothesis and to the role of term premia.     

Purchasing power parity in ASEAN-5 countries: revisit with cross-sectional dependence and structural breaks

This paper re-examines the purchasing power parity (PPP) hypothesis for a panel of ASEAN-5 countries. The panel unit root and cointegration tests, which incorporate cross-sectional dependence and multiple structural breaks, are innovatively used for testing the PPP hypothesis. We could not find evidence that supports the existence of a long-run equilibrium between the relative price ratio and the nominal exchange rate for the whole period. Nevertheless, there is evidence of a cointegrating relationship for the post-crisis period. Our finding implies that a flexible exchange rate regime is suitable for the individual ASEAN countries.     

US Fiscal Sustainability and the Causality Relationship between Government Expenditures and Revenues: A New Approach Based on Quantile Cointegration

This paper first aims to reinvestigate the issue of US fiscal sustainability by using the quantile cointegration approach proposed by Xiao (2009 and 2012). Our empirical evidence indicates a quantile‐dependent cointegrating relationship between government expenditures and revenues. In addition, this paper examines the long‐run causality relationship between expenditures and revenues by using the vector error‐correction (VEC) model with coefficients based on the different quantiles. Findings from the long‐run Granger‐causality analyses support the spend‐and‐tax hypothesis. Our investigation suggests that the government should show more discretion in increasing expenditures in the long run. Moreover, budget deficit reduction can only be achieved through reductions in government expenditures.     

Inequality and the US import demand function

In this paper we investigate the empirical importance of changes in inequality on the demand for imports by examining US data from 1948 to 2007. We find evidence of a long-run relationship of a standard imports equation including income inequality. The existence of a cointegrating equation in imports, income, relative prices and inequality exists not only for aggregate real imports but also for more disaggregated categories as well. The evolution of inequality seems to have a large and positive influence on the demand for imports in the US with the exception of imports of services whereas the impact of inequality on imports of durables is more ambiguous. Our results are robust to alternative methods of estimating cointegration equations.     

The dynamic relationship among the money market mutual funds,the commercial paper market,and the repo market

In this paper, we present the short-run and the long-run relationships among the financial assets of the money market funds, the commercial paper market, and the repurchase agreement market by undertaking a cointegration analysis of quarterly data over the 1985–2017 period. This was based on the empirical observation that the commercial paper and repo markets account for 50 percent of the assets of money market funds. The evidence suggests that there exists a common long-term cointegrating trend among these three components of the shadow banking system. Any disequilibrium in this long-run relationship among these variables is corrected by movement in the financial assets of money market funds. The Beveridge-Nelson decomposition from the estimated cointegrating relationship shows that the cyclical component of money market funds is large and captures huge swings in these markets during the financial crisis. We also find evidence of change in these dynamic relationships in the post-crisis period, where in addition to the money market funds, the commercial paper market also exhibits a tendency to correct for the disequilbrium.     

On the Long Run Effects of Public Capital and Disaggregated Public Capital on Aggregate Output

We study the cointegration properties of data on aggregate output, five proxies for labor, two proxies for private capital, public capital, and disaggregated public capital for the United States for 1948–1993. We find evidence of multiple cointegrating vectors; we typically find three or four cointegrating vectors depending on which combination of proxies is evaluated. When public capital is disaggregated by type there is less evidence for cointegration. Finally, innovations in public capital have long lasting effects on output, labor, and private capital, and innovations to output, labor, and private capital also have long lasting effects on public capital.     

Pairs trading with partial cointegration

Partial cointegration is a weakening of cointegration that allows for the ‘cointegrating’ residual to contain a random walk and a mean-reverting component. We derive its representation in state space, provide a maximum likelihood-based estimation routine, and a suitable likelihood ratio test. Then, we explore the use of partial cointegration as a means for identifying promising pairs and for generating buy and sell signals. Specifically, we benchmark partial cointegration against several classical pairs trading variants from 1990 until 2015, on a survivor bias free data-set of the S&P 500 constituents. We find annualized returns of more than 12% after transaction costs. These results can only partially be explained by common sources of systematic risk and are well superior to classical distance-based or cointegration-based pairs trading variants on our data-set.