revisiting structural change and market integration in late 19th century american capital markets this article draws on a variety of time series tools to more deeply explore issues surrounding the emergence of a national capital market in the late 19th century our focus is on the timing of the emergence of a national capital market rather than relying on the absolute narrowing of regional interest rate differentials which is a common approach in this literature we use gregory and hansen cointegration tests which allow us not only to test for cointegrating relations in the interest rate series but to identify unknown structural change dates as a byproduct we also use dynamic conditional correlations to determine the dates at which regional interest rate correlations began increasing our results suggest that structural changes are centred around the year 1900 which is consistent with sylla s argument that the lowering of capital requirements by the gold standard act of 1900 increased bank entry and competition and facilitated regional capital market convergence

entrepreneurship versus joblessness explaining the rise in self employment a large share of the workforce throughout the developing world is self employed and this proportion has increased in recent decades assessments of this development vary with pull factors such as high returns to capital contrasted with push factors such as barriers to more desirable salaried jobs using a long panel dataset from ghana we empirically investigate the changing structure of earnings in self employment relative to salaried work our analysis allows workers to sort into self employment for different reasons including expected earnings differentials and endogenous capital accumulation whilst highlighting constraints that workers may face we estimate a correlated random coefficient model using iv gmm taking into account the endogeneity of sector choice and capital accumulation we find that returns to productive characteristics in self employment have increased significantly between 2004 and 2011 whilst self employment has attracted increasingly skilled workers this points against the negative view of self employment as an occupation of last resort

the growth potential of startups over the business cycle this paper shows that employment in cohorts of us firms is strongly influenced by aggregate conditions at the time of their entry employment fluctuations of startups are procyclical they persist into later years and cohort level employment variations are largely driven by differences in firm size rather than the number of firms an estimated general equilibrium firm dynamics model reveals that aggregate conditions at birth rather than post entry choices drive the majority of cohort level employment variation by affecting the share of startups with high growth potential in the aggregate changes in startup conditions result in large slow moving fluctuations in employment

purchasing power parity in the long run a cointegration approach this paper utilizes cointegration analysis to examine purchasing power parity relationships over a long time horizon the results indicate that the exchange rate is cointegrated strongly with the wholesale price index ratio and somewhat weakly with the consumer price index ratio the cointegrating coefficient between the exchange rate and the price ratio is close to one when cointegration is confirmed the hypothesis that the real exchange rate follows a random walk is rejected in most cases finally a new test for common trends finds no such common trends in exchange rates or price ratios copyright 1990 by ohio state university press

deviations from purchasing power parity in the long run this paper demonstrates that deviations from purchasing power parity reveal a remarkable and possibly startling consistency with martingale behavior during both fixed and flexible rate periods for a wide variety of countries and in both monthly and annual data since this pattern appears to be much more general than one would expect on the basis of models founded on international commodity arbitrage the paper proposes an alternative explanation which instead relies on financial arbitrage in bonds as the underlying mechanism this paper will demonstrate that deviations from purchasing power parity ppp reveal a remarkable and possibly startling consistency with martingale behavior during both fixed and flexible exchange rate periods for a wide variety of countries and in both monthly and annual data this pattern appears to be much more general than one would expect on the basis of models founded on international commodity arbitrage the paper therefore proposes an alternative explanation which does not presuppose free trade in goods but which instead relies on financial arbitrage in bonds as the underlying mechanism the major implication of the theory and the results is that ppp is as likely to be violated in the long as in the short run as an empirical matter deviations from ppp can be observed for most currencies at any instant see kravis et al 21 stockman 37 and genberg 15 among others these deviations are typically both cumulative and persistent the real exchange rate can remain on either side of parity for lengthy but variable time intervals of a year or more as a consequence the current consensus shared

this time is the same using bank performance in 1998 to explain bank performance during the recent financial crisis are some banks prone to perform poorly during crises if yes why in this paper we show that a bank s stock return performance during the 1998 crisis predicts its stock return performance and probability of failure during the recent financial crisis this effect is economically large our findings are consistent with persistence in a bank s risk culture and or aspects of its business model that make its performance sensitive to crises banks that relied more on short term funding had more leverage and grew more are more likely to be banks that performed poorly in both crises

backtesting marginal expected shortfall and related systemic risk measures this paper proposes an original approach for backtesting systemic risk measures this backtesting approach makes it possible to assess the systemic risk measure forecasts used to identify the finan

business cycles and bank regulations what happens to bank provisioning a more comprehensive look at 49 countries numerous researchers provide evidence that many banks intend to increase their loan loss provisioning llp when the economy is in a downward trend however the answer whether banks provide sufficient provisions when the economy is in an upturn trend remains unsolved furthermore provisioning must be influenced not only by business cycles and bank earnings but also by the regulatory system nevertheless empirical research on this issue has been scarce thus this study intends to answer two questions shown above the evidence shows that with steady growth in both the economy and bank earnings the bank management will tend to increase llp whereas with a buoyant economy but negative growth in bank earnings the management will exhibit an inclination to reduce llp as regards the influence of bank regulation on provisions the evidence shows that under certain circumstances banks make more provision based on regulatory considerations this explains why bank regulations regarding llp across countries

purchasing power parity and unit root tests using panel data abstract this paper reports the results of unit root tests for real exchange rates using a panel framework this panel approach provides greatly improved power compared to conventional univariate time series unit root tests we obtain evidence supporting ppp over the recent flexible exchange rate period for g 6 and oecd countries we show explicitly that failure to find such evidence in previous research was due to the low power of the tests

where has all the skewness gone the decline in high growth young firms in the u s abstract the pace of business dynamism and entrepreneurship in the u s has declined over recent decades we show that the character of that decline changed around 2000 since 2000 the decline in dynamism and entrepreneurship has been accompanied by a decline in high growth young firms prior research has shown that the sustained contribution of business startups to job creation stems from a relatively small fraction of high growth young firms the presence of these high growth young firms contributes to a highly positively skewed firm growth rate distribution in 1999 a firm at the 90th percentile of the employment growth rate distribution grew about 31 percent faster than the median firm moreover the 90 50 differential was 16 percent larger than the 50 10 differential reflecting the positive skewness of the employment growth rate distribution we show that the shape of the firm employment growth distribution changes substantially in the post 2000 period by 2007 the 90 50 differential was only 4 percent larger than the 50 10 and it continued to exhibit a trend decline through 2011 the overall decline reflects a sharp drop in the 90th percentile of the growth rate distribution accounted for by the declining share of young firms and the declining propensity for young firms to be high growth firms

real exchange rate behavior abstract using random simulations with artificial data with identical sample characteristics to the long sample exchange rate data employed by lothian and taylor lothian j r and taylor m p 1996 the recent float from the perspective of the past two centuries journal of political economy 104 488 509 we show that standard unit root tests have extremely low power over sample sizes corresponding to the recent float the probability of rejecting the null hypothesis when it is false is extremely low with 20 years or even 50 years of data and only reaches an acceptable level over much longer spans

srisk a conditional capital shortfall measure of systemic risk we introduce srisk to measure the systemic risk contribution of a financial firm srisk measures the capital shortfall of a firm conditional on a severe market decline and is a function of its size leverage and risk we use the measure to study top financial institutions in the recent financial crisis srisk delivers useful rankings of systemic institutions at various stages of the crisis and identifies fannie mae freddie mac morgan stanley bear stearns and lehman brothers as top contributors as early as 2005 q1 moreover aggregate srisk provides early warning signals of distress in indicators of real activity received june 7 2011 accepted april 18 2016 by editor geert bekaert

employment effects of financial constraints during the great recession abstract employment declined substantially during the 2007 2009 recession especially in small and young firms using confidential firm level data of the universe of firms and a difference in differences methodology this paper estimates that financial constraints reduced employment growth by 4 to 8 percentage points in small firms relative to large firms and by 7 to 9 percentage points in young relative to old firms i find that the effect of financial constraints on small firms is driven to a large extent by young firms i then document that financial constraints affected employment growth in small and young firms strongly through the entry and exit of firms

hysteresis in east asian unemployment high performing asian economies are quite distinctive with efficient flexible and responsive labour markets comparing the persistence of unemployment in east asian economies to that in western countries is difficult due to the data s short time spans and possible structural breaks this article employs advanced unit root tests to deal with these problems and fails to reject hysteresis in the unemployment rates of the high performing asian countries even after taking into account structural change an alternative explanation of different productivity growth for the hysteresis phenomenon of the asian countries is proposed herein

free bank failures risky bonds versus undiversified portfolios almost 30 of the 872 banks established under the free banking system 1837 62 are considered failures unable to reimburse noteholders for the full value of their bank notes upon closure lacking sufficient data economists have focused on one of two general failure explanations poor regulation design or undiversified bank portfolios i test both explanations within hazard functions using warren weber s annual balance sheet data for almost every antebellum bank my results suggest that free banking s bond secured note issue was the underlying problem but individual banks could have avoided failure by diversifying their assets with loans and controlling their circulation

real and nominal exchange rates in the long run an empirical investigation abstract this paper reports on econometric tests of the hypothesis that purchasing power parity holds as a long run relationship using data on eight industrialized countries during the flexible exchange rate period the empirical work proceeds by i testing whether nominal exchange rates and relative price levels are co integrated and ii conducting impulse response analysis of long run exchange rate and relative price level changes to explain the data keynesian models suggest that shocks during the estimation period were due principally to exogenous shifts in aggregate demand while equilibrium models suggest that monetary factors have been relatively more important

cointegration and market integration an application to the indonesian rice market this article suggests improvements in the use of regression analysis to measure spatial market integration the procedure pioneered by ravallion is still widespread but is valid only under certain conditions of exogeneity the alternative offered here is an error correction mechanism which makes it possible to test for exogeneity as well as indicating the direction and strength of causality in price formation between markets the method is illustrated with data on rice prices in different parts of the indonesian market the results confirm among other things that supply sources are more important than demand sources in driving prices

real exchange rate behavior the recent float from the perspective of the past two centuries using annual data spanning two centuries for dollar sterling and franc sterling real exchange rates we find strong evidence of mean reverting real exchange rate behavior using simple stationary autoregressive models estimated on prefloat data we easily outperform nonstationary real exchange rate models in dynamic forecasting exercises over the recent float such stationary univariate equations explain 60 80 percent of the in sample variation in real exchange rates although the degree of short run persistence may be high the econometric estimates imply a half life of shocks to the real exchange rate of about 6 years for dollar sterling and a little under 3 years for franc sterling

post bretton woods deviations from purchasing power parity in g7 exchange rates an empirical exploration abstract exchange rates have deviated substantially and idiosyncratically from purchasing power parity ppp since the breakdown of bretton woods in this paper a model incorporating both traditional ppp and financial market variables is constructed and tested on the us dollar s six g7 exchange rates during the floating rate era empirical tests show that the model s common set of variables with consistent signs can explain the divergent behavior of g7 exchange rates during 1973 2 90 2 idiosyncracies are reflected in different subsets of the model s variables entering significantly into each exchange rate s regression the existence of stable relationships is demonstrated by the equations co integration

further results on long run purchasing power parity in the 1920s abstract we reexamine long run purchasing power parity ppp for the dollar sterling exchange rate in the 1920s using a three variable cointegration regression and the new statistics tabulated by engle and yoo 1987 consistent with taylor and mcmahon s 1988 results we reject cointegration for the dollar sterling exchange rate the u k and the u s a price levels for the sample period february 1921 to may 1925 contrary to taylor and mcmahon however we find only weak evidence of cointegration for the shorter sample period february 1921 to may 1924

policy convergence the exchange rate mechanism and the misalignment of exchange rates some tests of purchasing power parity and generalized purchasing power parity the paper focuses on the convergence issues and the long run credibility of the european monetary system ems and more specifically on the evaluation of the effectiveness of the exchange rate mechanism erm in generating a stabilizing effect on real exchange rates across member countries for this purpose we execute some tests of long run purchasing power parity ppp for an erm group and a non erm group of countries using both the engle and granger procedure and the more powerful johansen cointegration technique we also execute a test of generalized ppp exploiting an idea developed by enders and hurn testing for ppp in a multicountry setting may be a useful methodology to identify the optimal currency area suggested by the data generation process on the basis of the reported homogeneity of real exchange rate behaviour of the countries considered

measuring global money market interrelationships an investigation of five major world currencies abstract this paper extends the study of global money market integration in two primary directions first a technique which combines stationarity and cointegration tests as a basis for constructing an error correction model is applied to assess the existence of long run equilibrium relationships between money market series second analysis for the increasingly significant asian offshore markets of singapore and hong kong is added to traditional european and national markets analysis major findings are 1 the error correction model is an appropriate technique for identifying causality relationships and 2 major domestic markets and included offshore markets are partially segmented

real interest rate equalization and the integration of international financial markets abstract this paper argues that conventional regression tests of real interest rate equality may be misleading because they neglect to consider transactions costs a transactions cost band may inhibit the one to one correspondence between changes in real rates in alternative countries that is presumed by conventional tests statistical problems which may lead to incorrect inferences in conventional tests are also discussed alternative tests which overcome these limitations are developed and applied to real interest rates for ten different countries the alternative tests generate much stronger support for interest parity than is found in the existing literature

the causes of free bank failures a detailed examination abstract in this paper we propose and test a new explanation of bank behavior during the free banking era 1837 1863 arguing against the conventional view that free bank failures were due to wildcat banking we claim they were caused by falling asset prices confronting both explanations with our new and detailed data set developed from state auditor reports we find that the falling asset price explanation of free bank failures explains far more failures than does the wildcatting hypothesis

long run purchasing power parity in the 1920s abstract this paper presents an empirical analysis of long run purchasing power parity ppp during the 1920s float using recently developed methodology on the cointegration of economic time series our results are generally supportive of ppp as a long run equilibrium condition on which exchange rates tended to converge over the period for dollar sterling however there is some evidence of a non stationary drift away from fundamentals during the last year or so before britain s return to the gold standard perhaps due to speculation our results also appear to reconcile some apparently conflicting evidence in the literature

bank runs in the free banking period free banks in the united states issued private banknotes without discretionary restriction of entry previous research suggests explanations for noteholders relatively large losses and the substantial number of banks that closed the authors examine these hypotheses and the hypothesis that contagious runs were important the evidence provides no support for the importance of wildcat banking due to par versus market valuation of bond reserves episodic but not general support for the importance of declining bond prices and support for contagion effects and contemporaries knowledge of them with little or no impact on the number of banks that closed copyright 1994 by ohio state university press

back to the future backtesting systemic risk measures during historical bank runs and the great depression abstract we evaluate the performance of two popular systemic risk measures covar and srisk during eight financial panics in the era before fdic insurance bank stock price and balance sheet data were not readily available for this period we rectify this shortcoming by constructing a novel dataset for the new york banking system before 1933 our evaluation exercise focuses on two challenges ranking systemically important financial institutions sifis and financial crisis prediction we find that covar and srisk meet the sifi ranking challenge that is they help identify systemic institutions in periods of distress beyond what is explained by standard risk measures up to six months before panics in contrast aggregate covar and srisk are only somewhat effective at predicting financial crises

explaining international variations in self employment evidence from a panel of oecd countries organisation for economic cooperation and development oecd data from 1972 to 1996 reveals substantial differences in the levels and trends of self employment rates across countries this article uses recently developed panel integration and cointegration techniques to explore the determinants of aggregate self employment rates we find that within the panel self employment rates are positively and significantly related to personal income tax rates and negatively and significantly related to the unemployment benefit replacement rate this accords a central role to government tax and transfer policies in contrast to nonrobust influences from macroeconomic variables which have been widely used in previous studies

employers discriminatory behavior and the estimation of wage discrimination this paper considers the linkage of empirical estimates of wage discrimination between two groups introduced by oaxaca 1973 to a theoretical model of employers discriminatory behavior it is shown that conditional on different assumptions about employers discriminatory tastes oaxaca s estimators of wage discrimination can be derived that the approach is more generally useful is demonstrated by deriving an alternative estimator of wage discrimination based on the assumption that within each type of labor e g unskilled skilled the utility function capturing employers discriminatory tastes is homogeneous of degree zero with respect to labor inputs from each of the two groups the estimators are compared empirically in an application to male female wage differentials

entry and exit of manufacturing plants over the business cycle abstract this paper analyzes the plant level entry and exit over the business cycle we document basic patterns of entry and exit of u s manufacturing plants between 1972 and 1997 we find that the entry rate is more cyclical than the exit rate we also find that the differences in productivity and employment between booms and recessions are particularly larger for entering plants than for exiting plants our new finding suggests that the selection at the entry margin may be more important than the selection at the exit margin in understanding the plant level dynamics over the business cycle

arima and cointegration tests of ppp under fixed and flexible exchange rate regimes real exchange rates between the united states and its major trading partners were calculated for the bretton woods and flexible exchange rate periods unit root tests indicate that purchasing power parity performed poorly in both periods tests for cointegration reveal limited instances in which it is possible to estimate the deviations from ppp as an error correcting model the estimated error correcting models indicate that foreign but not u s prices responded to deviations from ppp frenkel s 1981b finding that purchasing power parity ppp worked better during the 1920s than the 1970s caused considerable controversy for example davutyan and pippenger 1985 contend that the socalled collapse of ppp is a result of an increase in the relative importance of real versus monetary shocks they argue that the 1970s as opposed to the 1920s was characterized by real supply shocks and the international coordination of monetary policies the argument is that ppp did not fail rather there was an increase in the volatility of those factors giving rise to deviations from ppp hakkio 1984 reestimated ppp over the 1920s and 1970s using cross country tests i e sure estimates to improve the efficiency of his estimates he was able to support the hypothesis that ppp worked better in the 1970s than in the 1920s on the other hand papers by adler and lehman 1983 dornbusch 1980 frenkel 1981a junge 1985 and krugman 1978 report findings contrary to the ppp hypothesis moreover kenen and rodrik 1986 find that the volatility of real exchange rates has increased throughout the flexible rate period this paper tries to shed some light on the importance and persistence of the observed deviations from purchasing power parity under alternative exchange rate systems while it is interesting to compare ppp in the 1920s versus the 1970s it is equally useful to compare the 1960s versus the 1970s and 1980s if real supply shocks and lack of monetary coordination are characteristic of the latter period ppp should perform better in the 1960s to illustrate the issues involved consider the following econometric model of relative purchasing power

beyond the purchasing power parity testing for cointegration and causality between exchange rates prices and interest rates abstract this paper reexamines the causality between the dollar and the yen in a multivariate framework with the aid of cointegration and error correcting modeling for the 1951 94 period the phillips perron tests and johansen s tests are performed while causality from interest rates to exchange rates is found in the short run no causality between prices and exchange rates is found in the short run however causality is found running from relative prices to exchange rates along with interest rates between the u s and japan in the long run which supports the long run ppp hypothesis

self employment over the business cycle in the usa a decomposition entry rates into self employment increase during recessions and decrease during economic upswings i show that this is mostly explained by the higher unemployment rate during a recession together with the fact that at all times unemployed persons have a relatively high propensity to become self employed out of necessity i use econometric decomposition techniques to quantify these effects based on the monthly matched us current population survey before during and after the great recession i also document that the entry rate into self employment with unincorporated businesses strongly increased during the recession but not into self employment with incorporated businesses this highlights the association of unincorporated and incorporated self employment with necessity and opportunity entrepreneurship respectively the results are useful for policymakers and practitioners to understand forecast and act on the different types of self employment that can be expected over the business cycle there are also important implications for theories of the cyclicality of unemployment and entrepreneurship plain english summary self employment will increase during recessions when unemployment is high but it may not boost innovation during recessions increased unemployment underlies the higher entry rate into self employment our evidence is from representative survey data from the usa covering the great recession the upside is that self employment enables workers who lose their jobs to continue to work which can speed up the subsequent economic recovery thus public policy should enable people to start businesses however as during recessions the unemployed mostly start unincorporated businesses one cannot expect them to boost innovation as much as start ups during better economic times these insights also speak to the 2020 recession triggered by covid 19 if unemployment remains high after the relaxation of the lockdowns a rise can be expected especially in non innovative self employment thus the principal policy implication of this study is that policymakers should ensure that their expectations for new businesses started during deep recessions are realistic for the circumstances

how useful is the marginal expected shortfall for the measurement of systemic exposure a practical assessment abstract we explore the practical relevance from a supervisor s perspective of a popular market based indicator of the exposure of a financial institution to systemic risk the marginal expected shortfall mes the mes of an institution can be defined as its expected equity loss when the market itself is in its left tail we estimate the dynamic mes recently proposed by brownlees and engle 2012 for a panel of 68 large us banks over the last decade and a half running panel regressions of the mes on bank characteristics we first find that the mes can be roughly rationalized in terms of standard balance sheet indicators of bank financial soundness and systemic importance we then ask whether the cross section of the mes can help to identify ex ante i e before a crisis unfolds which institutions are more likely to suffer the most severe losses ex post i e once it has unfolded unfortunately using the 2007 2009 crisis as a natural experiment we find that some standard balance sheet ratios are better able than the mes to predict large equity losses conditionally to a true crisis

cointegration and tests of purchasing power parity nonstationarity in the levels of spot exchange rates and domestic and foreign price indices makes the use of conventional tests of the absolute version of purchasing power parity ppp inappropriate if ppp is true inter country commodity arbitrage ensures that deviations from a linear combination of spot exchange rates and domestic and foreign price levels should be stationary under these conditions exchange rates and price levels should form a cointegrated system we find the null hypothesis of no cointegration cannot be rejected for all five countries thus violating the long run absolute version of ppp

the banking panics in the united states in the 1930s some lessons for today in this paper we discuss the lessons learned from the us banking panics in the 1930s for the response by the federal reserve to the crisis of 2008 we revisit the debate over illiquidity versus insolvency in the banking crises of the 1930s and provide empirical evidence that the banking crises largely reflected illiquidity shocks in the recent crisis the fed under bernanke had well learned the lesson from the banking panics of the 1930s of conducting expansionary monetary policy to meet demands for liquidity however unlike in the 1930s the deeper problem of the recent crisis was not illiquidity but insolvency and especially the fear of insolvency of counterparties a number of virtually insolvent us banks deemed too big and too interconnected to fail were rescued by fiscal bail outs

entrepreneurial talent occupational choice and trickle up policies we study market inefficiencies and policy remedies when agents choose their occupations and entrepreneurial talent is subject to private information untalented entrepreneurs depress the returns to entrepreneurship because of adverse selection the severity of this problem depends on the outside option of entrepreneurs which is working for wages this links credit product and labor markets a rise in wages reduces the adverse selection problem these multimarket interactions amplify productivity shocks and may generate multiple equilibria if it is impossible to screen entrepreneurs then all agents unanimously support a tax on entrepreneurs that drives out the less talented ones however if screening is possible e g if wealthy entrepreneurs can provide collateral for their loans then wealthy entrepreneurs do not support surplus enhancing taxes

bank panics government guarantees and the long run size of the financial sector evidence from free banking america governments attempt to increase the confidence of financial market participants by making implicit or explicit guarantees of uncertain credibility confidence in these guarantees presumably alters the size of the financial sector but observing the long run consequences of failed guarantees is difficult we look to america s free banking era and compare the consequences of a broken guarantee during the indiana centered panic of 1854 to the panic of 1857 in which guarantees were honored our estimates of a model of endogenous market structure indicate substantial negative long run consequences to financial depth when panics cast doubt upon a government s ability to honor its guarantees

understanding the empirical literature on purchasing power parity the post bretton woods era abstract this paper argues that the empirical failure of statistical tests of ppp in post bretton woods data is largely due to the low power of the tests employed this result is demonstrated using monte carlo experiments on the size and power of different testing procedures a new procedure based on horvath and watson econometric theory 11 pp 984 1014 1995 has greater power than previous approaches using the horvath watson procedure we find moderate evidence in favor of ppp in the post bretton woods era

testing market integration a model of spatial price differentials for a tradable good is proposed which avoids the inferential dangers of received methods using static price correlations the proposed method also extracts more information on the causes of price differentials from the same data the method is illustrated using monthly rice price data for postindependence bangladesh including the very substantial regional price shocks during the 1974 famine impediments to market integration are indicated

two illustrations of the quantity theory of money of two central implications of the quantity theory of money that a given change in the rate of change in the quantity of money induces i an equal change in the rate of price inflation and ii an equal change in nominal rates of interest the illustrations were obtained by comparing moving averages of the three variables in question using quarterly u s time series for the period 1953 77 readers may find the results of interest as additional confirmation of the quantity theory as an example of one way in which the quantity theoretic relationships can be uncovered via atheoretical methods from time series which are subject to a variety of other forces or as a measure of the extent to which the inflation and interest rate experience of the postwar period can be understood in terms of purely classical monetary forces the theoretical background of the study is reviewed very briefly as it is familiar material in the next section the data processing methods are described and rationalized in section ii the illustrations

common stochastic trends in a system of exchange rates univariate tests reveal strong evidence for the presence of a unit root in the univariate time series representation for seven daily spot and forward exchange rate series furthermore all seven spot and forward rates appear to be cointegrated that is the forward premiums are stationary and one common unit root or stochastic trend is detectable in the multivariate time series models for the seven spot and forward rates respectively this is consistent with the hypothesis that the seven exchange rates possess one longrun relationship and that the disequilibrium error around that relationship partly accounts for subsequent movements in the exchange rates a general consensus has emerged in recent years that many macroeconomic time series such as gnp consumption expenditures disposable income etc can be characterized by a stochastic trend model in particular nelson and plosser 22 described this property as one of being difference stationary so that the first difference of a time series is stationary an alternative trend stationary model where a stationary component is added to a deterministic trend term has generally been found to be less appropriate 1 similarly it has long been recognized that many financial time series such as foreign exchange rates are nonstationary e g in meese and singleton 21 the issue of nonstationary is not merely a statistical curiosity but has several important implications for the modeling of exchange rates for instance many models of exchange rate determination under rational expectations require stationarity assumptions when solving out the expected future values of the fundamentals further there has been some controversy over the appropriate transformations to use when conducting tests of whether the forward rate is an unbiased and efficient predictor of the future spot exchange rate 2 some authors e g frenkel 11 12 have conducted tests in levels while geweke and feige 14