Understanding the Backus–Smith puzzle: It's the (nominal) exchange rate,stupid

Backus, Kehoe and Kydland (BKK 1992) demonstrated that if international capital markets are complete, consumption growth correlations across countries should be higher than their corresponding output growth correlations. In stark contrast to the theory, however, in actual data the consumption growth correlation is lower than the output growth correlation. By assuming trade imperfections due to non-traded goods, Backus, D.K., Smith, G.W. [1993 Consumption and real exchange rates in dynamic economies with non-traded goods. Journal of International Economics 35(3–4), 297–316] showed that there is an additional impediment at work that can lower the consumption growth correlation. While their argument was successful in partially explaining the puzzlingly low cross country correlation of consumption growth rates, it contributed to generating another puzzle because the data forcefully show that consumption growth is negatively correlated with the real exchange rate, which is also a violation of the theory. Using data for OECD countries, we decompose real exchange rate growth into its nominal exchange rate growth and inflation differential components, and find that nominal exchange rate movements are the main source for the Backus-Smith puzzle. We demonstrate the robustness of this finding by examining sub-samples of the data, by allowing for imperfect risk sharing due to ‘rule of thumb’ consumers, and by examining intranational data across the U.S. states where the nominal exchange rate is fixed.     

The consumption-real exchange rate anomaly with extensive margins

This paper investigates a consumption-real exchange rate anomaly from the open macroeconomics literature known as the Backus-Smith puzzle. We both analytically and quantitatively examine how an expansion of trade along extensive margins can contribute to the puzzle's resolution. Our argument is based on 1) a wealth effect due to changes in the number of product varieties, 2) statistical inefficiency in measuring the number of product varieties, and 3) market incompleteness. Contrary to complete asset markets which, in general, feature overly strong risk sharing properties, changes in the number of product varieties under incomplete markets may produce a wealth effect under high trade elasticity. Since statistical agencies systematically fail to capture the welfare impact arising from that changes, data-consistent terms of trade and real exchange rates tend to appreciate due to this positive wealth effect. This provides a realistic correlation between data-consistent real exchange rates and consumption.     

Exchange rate mean reversion from real shocks within an intertemporal equilibrium model

The post Bretton Woods era has been characterized by real exchange rates that exhibit mean reversion, with mixed evidence as to whether this reversion is partial (PPP never holds) or essentially complete. This paper generates these stylized facts theoretically by synthesizing a simple intertemporal open economy model with the elasticities approach to the current account. A central feature of the model is the existence of non-traded goods. The model can generate partial or approximately complete mean reversion for the real exchange rate (depending on parameter values) if innovations in output are made up of permanent and temporary components. In addition, temporary output shocks generate a type of hysteresis wherein the short-run path for the exchange rate permanently alters its long-run equilibrium value.     

Accounting for real exchange rates using micro-data

The classical dichotomy predicts that all of the time-series variance in the aggregate real exchange rate is accounted for by non-traded goods in the consumer price index (CPI) basket because traded goods obey the Law of One Price. In stark contrast, Engel (1999) claimed the opposite: that traded goods accounted for all of the variance. Using micro-data and recognizing that final good prices include both the cost of the goods themselves and local, non-traded inputs into retail such as labor and retail space, our work re-establishes the conceptual value of the classical dichotomy. We also carefully show the role of aggregation, consumption expenditure weighting and assignment of covariance terms in the differences between our findings and those of Engel.     

Burgernomics: the economics of the Big Mac standard

In the course of PPP research, much of the debate over the validity has been over the choice of an appropriate ‘basket’ for making purchasing power comparisons. The different compositions of goods and services in these baskets across countries have resulted in arguments against their usefulness for PPP purposes. This problem is augmented by the existence of productivity differentials in traded and non-traded goods across countries. Therefore we consider the use of the Big Mac as the international monetary standard as being a more palatable alternative: It is produced locally in over 80 countries around the world, with only minor changes in recipe and thus has the flavour of ‘the perfect universal commodity’. Our results indicate that the Big Mac Index is surprisingly accurate in tracking exchange rates over the long-term, which is consistent with previous PPP research findings. We subsequently enhance our PPP comparisons by taking into account the productivity differentials between countries and excluding non-traded goods from the Big Mac Index to derive the No-Frills Index.     

Central bank intervention and the intraday process of price formation in the currency markets

We propose a novel theory of the impact of sterilized spot interventions on the microstructure of currency markets that focuses on their liquidity. We analyze the effectiveness of intervention operations in a model of sequential trading in which i) a rational Central Bank faces a trade-off between policy motives and wealth maximization; ii) currency dealers' sole objective is to provide immediacy at a cost while maintaining a driftless expected foreign currency position; and iii) adverse selection, inventory, signaling, and portfolio balance considerations are absent by assumption. In this setting, and consistent with available empirical evidence, we find that i) the mere likelihood of a future intervention—even if expected, non-secret, and uninformative—is sufficient to generate endogenous effects on exchange rate levels, to increase exchange rate volatility, and to impact bid-ask spreads; and ii) these effects are exacerbated by the intensity of dealership competition, the extent of the Central Bank's policy trade-off, and the credibility of its threat of future actions.     

Endogenous tradability and some macroeconomic implications

While nontraded goods play an important role in many open economy macroeconomic models, these models have difficulty explaining the low volatility in the relative price of nontraded goods. In contrast to macroeconomic convention, this paper argues that the share of nontraded goods is endogenous, a time-varying product of macroeconomic shocks and trade costs that are heterogeneous across goods. A simple open economy model demonstrates that trade cost heterogeneity and a time-varying margin of tradedness dramatically reduces the volatility of nontraded prices. This also reduces the ability of real exchange rate adjustments to dampen current account imbalances.     

Price,output, and exchange rate movements in the open economy

Since the advent of managed floating it has come to be accepted as a stylized fact that short-run deviations from purchasing power parity are both substantial and persistent. Two explanations of these deviations have been advanced in the literature. One emphasizes the role of changes in non-traded goods prices while the other views deviations from purchasing power parity as being due to sticky goods prices and slow adjustment of goods markets. This paper presents yet a third possible explanation of deviations from purchasing power parity — they may be necessary in order to facilitate the relative price changes that are required to maintain equilibrium in the face of unanticipated shocks. In addition, the issue of exchange rate overshooting is addressed. Whereas the sticky price models view exchange rate overshooting and exchange rate volatility as symptoms of some fundamental disequilibrium, the perspective taken here is that these events are, in principle, compatible with a world in which all markets clear continuously.     

Optimal exchange rate flexibility with large labor unions

We study the optimal volatility of the exchange rate in a two-country model with sectoral non-atomistic wage setters, non-traded goods, nominal rigidities and alternative pricing assumptions – producer or local currency pricing. Labor unions internalize the sectoral impact of their wage settlements through firms' labor demand. With local currency pricing, exchange rate depreciation raises sales revenue, which in turn boosts domestic consumption and labor demand. Unions anticipate this effect and set higher wages accordingly. With small unions and low wage markup, optimal monetary policy enhances exchange rate movements to improve its terms of trade. With large unions and high wage markup, optimal monetary policy curbs exchange rate movements to restrain inflationary wage demands and to stabilize employment.     

Volatile and persistent real exchange rates with or without sticky prices

The flexible-price two-country monetary model is extended to include a consumption externality with habit persistence. Two methodologies are employed to explore this model's ability to generate volatile and persistent exchange rates. In the first, actual data is used for the exogenous driving processes. In the second, the model is simulated using estimated forcing processes. The theory, in both cases, is capable of explaining the high volatility and persistence of real and nominal exchange rates as well as the high correlation between real and nominal rates.     

The Composition of Government Spending and the Real Exchange Rate

We show that the composition of government spending influences the long-run behavior of the real exchange rate. We develop a two-sector small open-economy model in which an increase in government consumption is associated with real appreciation, while an increase in government investment may generate real depreciation. Our empirical work confirms that government consumption and government investment have differential effects on the real exchange rate and the relative price of nontradables.     

Can a real business cycle model without price and wage stickiness explain UK real exchange rate behaviour?

This paper establishes the ability of a Real Business Cycle model to account for UK real exchange rate behaviour. The model is tested by the method of indirect inference, bootstrapping the errors to generate 95% confidence limits for a time-series representation of the real exchange rate, as well as for various key data moments. The results suggest RBC models can explain real exchange rate movements.     

Real exchange rate fluctuations, endogenous tradability and exchange rate regimes

The real exchange rate is driven by fluctuations of the relative price of traded goods and the relative price of nontraded to traded goods. This study explains the variance decomposition of the real exchange rate using a stochastic dynamic general equilibrium model of comparative advantage with money. Given interest rate shocks, exchange rate stability reduces the covariance between the two relative prices and raises the contribution of the relative price of nontraded to traded goods. Productivity shocks do not alter the covariance across exchange rate regimes and let the relative price of traded goods drive the real exchange rate.     

Expenditure switching versus real exchange rate stabilization: Competing objectives for exchange rate policy

This paper develops a view of exchange rate policy as a trade-off between the desire to smooth fluctuations in real exchange rates so as to reduce distortions in consumption allocations, and the need to allow flexibility in the nominal exchange rate so as to facilitate terms of trade adjustment. We show that optimal nominal exchange rate volatility will reflect these competing objectives. The key determinants of how much the exchange rate should respond to shocks will depend on the extent and source of price stickiness, the elasticity of substitution between home and foreign goods, and the amount of home bias in production. Quantitatively, we find the optimal exchange rate volatility should be significantly less than would be inferred based solely on terms of trade considerations. Moreover, we find that the relationship between price stickiness and optimal exchange rate volatility may be non-monotonic.     

Consumption correlatedness and risk measurement in economies with non-traded assets and heterogeneous information

A technique is presented for deriving equilibrium models of asset risk premia in continuous time models which does not require the complete solution of a consumer's continuous time stochastic control problem. The technique is used to show that even if traders have heterogeneous information about asset returns and/or there are non-traded assets, then the risk premium of a traded asset is determined by the covariance between the asset's return and the rate of change in per capita consumption. We only require the assumption that traders' consumptions and traded asset values form an Ito process.     

解析人民币实际汇率的决定机制——基于巴拉萨-萨缪尔森效应的理论分析

中国经济高速增长的背景同人民币实际汇率持续贬值的现实构成了实际汇率理论中的一对尖锐矛盾,明显违背基于供给角度的巴拉萨-萨缪尔森效应。本文所设定的实际汇率传导模型表明,该效应仅在人民币实际汇率的内部传导环节成立,无法在外部环节得以显现。通过对模型约束条件的修正,本文分析了形成这一现象的原因。     

Exchange rate pass-through into import prices revisited: What drives it?

A large sample of developed and emerging economies is utilized to investigate import exchange rate pass-through. Panel models reveal that various economic aspects of the destination country can explain about one third of the total variation in pass-through elasticities and the remaining variation comes largely in the form of unobserved country-specific effects. Inflation, exchange rate volatility, openness and relative wealth play a clear role as drivers of emerging markets’ pass-through whereas the output gap and protectionism appear influential more generally. Nonlinearity regarding large-versus-small changes in the exchange rate is quite pervasive. Our evidence challenges the widely-held view that pass-through has been universally falling in developed markets and that it is higher for emerging markets. The economic drivers are shown to play a role as out-of-sample predictors of pass-through. The findings confirm pricing-to-market theories and have implications for the optimal conduct of monetary policy.     

Accounting for real exchange rate changes in East Asia

This study measures the proportion of real exchange rate movements that can be accounted for by movements in the relative price of non-traded goods using the framework employed by Engel [1999. Accounting for U.S. real exchange rate changes. Journal of Political Economy 107, 507–538]. Among the 21 bilateral Asian-Pacific real exchange rates considered here, that proportion is found to be trivially small for all possible horizons that the data allow – from one month up to 25 years. This pattern appears unaffected by the cross-sectional variation in either income level, or the degree of openness present among these Pacific-Rim economies. The only qualifications occur when considering fixed (or semi-fixed) exchange rate regimes.     

An Analysis of Trade Patterns and the Effects of the Real Exchange Rate Movements in East Asia

This article investigates the patterns of vertical specialization in trade among China, Japan and Korea, and the effects of real exchange rate fluctuations under a multistage production process. By extending the models of Yi (2003, 2010), we derive two distinct features of vertical specialization and test them using Time-Varying Parameter (TVP) VAR. We find that a positive shock to China’s final good consumption increases the intermediate goods trade between Korea and China, with expanding magnitude over time. In addition, the positive effect of a real exchange rate depreciation on intermediate goods trade is strengthened through the competitiveness-enhancing channel, with this effect being more pronouncing in Korea-China trade than in Korea-Japan trade.     

Housing Wealth,Financial Wealth and Consumption Expenditure: The Role of Consumer Confidence

The objective of this paper is to examine the role of consumer confidence on the relationship between two forms of wealth—housing and financial—and four categories of consumption expenditure, which include total consumption, service, durable goods and nondurable goods consumption. This paper uses U.S. quarterly data from 1978 to 2012 for its analysis. Applying the FMOLS estimation method, the results show that consumer confidence has a positive effect on the association between housing wealth and consumption expenditure, whereas its effect on the association between financial wealth and consumption expenditure is negative. The implications of these results are discussed.