The Federal Reserve Board eagle logo links to home page

Exchange Rate Pass-through to Export Prices: Assessing Some Cross-Country Evidence

Robert J. Vigfusson, Nathan Sheets, and Joseph Gagnon

NOTE: International Finance Discussion Papers are preliminary materials circulated to stimulate discussion and critical comment. References in publications to International Finance Discussion Papers (other than an acknowledgment that the writer has had access to unpublished material) should be cleared with the author or authors. Recent IFDPs are available on the Web at http://www.federalreserve.gov/pubs/ifdp/. This paper can be downloaded without charge from the Social Science Research Network electronic library at http://www.ssrn.com/.


Abstract:

A growing body of empirical work has found evidence of a decline in exchange rate pass-through to import prices in a number of industrial countries. Our paper complements this work by examining pass-through from the other side of the transaction; that is, we assess the exchange rate sensitivity of export prices (denominated in the exporter's currency). We first sketch out a streamlined analytical model that highlights some key factors that determine pass-through. Using this model as reference, we find that the prices charged on exports to the United States are more responsive to the exchange rate than is the case for export prices to other destinations, which is consistent with results in the literature suggesting that import price pass-through in the U.S. market is relatively low. We also find that moves in the exchange rate sensitivity of export prices over time have been significantly affected by country and region-specific factors, including the Asian financial crisis (for emerging Asia), deepening integration with the United States (for Canada), and the effects of the 1992 ERM crisis (for the United Kingdom).

JEL classification: E31, F30, F41.


1.   Introduction

Much has recently been written on exchange rate pass-through to import prices. Olivei (2002) and Marazzi, Sheets, Vigfusson, et al. (2005) have examined the exchange rate sensitivity of U.S. import prices; Otani, Shiratsuka, and Shirota (2003, 2005) have looked at exchange rate pass-through to Japanese import prices; and Campa and Goldberg (2002, 2005), Sekine (2006), Frankel, Parsley, and Wei (2005), and Ihrig, Marazzi, and Rothenberg (2006) estimate exchange rate pass-through to import prices for broad sets of countries.1Taken together, the available empirical evidence (although still not fully settled) suggests that exchange rate pass-through to import prices has declined both in the United States and in a number of other industrial countries. Nevertheless, exactly how widespread this decline has been and what has driven the decline has not been completely pinned down.

As an alternative perspective on these issues, our paper extends this recent work by examining pass-through from the other side of the transaction-that is, we assess the exchange rate sensitivity of export prices (denominated in the exporter's currency).2 We do this analysis with an eye toward the implications for import price pass-through in the destination markets, particularly the United States. If import prices in some countries have become less sensitive to the exchange rate, we should find evidence that export prices in some corresponding set of countries have become more sensitive to the exchange rate.

Our paper builds on the well-known pricing-to-market literature (see, for example, Knetter (1989, 1993) and Goldberg and Knetter (1997)), which studied the pricing behavior of exporting firms as a way of obtaining greater insight into exchange rate pass-through to import prices and, more generally, into the role of the exchange rate and trade prices in influencing cross-country trade flows and patterns of current account balances..

The major conclusions from our work are three-fold. First, we find evidence that the prices charged on exports to the U.S. market denominated in the exporting-country's currency are more sensitive to the exchange rate than is the case for multilateral export prices (i.e., the prices charged to all markets on average). A related result is that the dollar is found to play a unique role in the determination of the prices of internationally traded goods, apparently reflecting both the dollar's global prominence and the centrality of the U.S. marketplace.

Second, rolling regressions with fixed ten-year windows indicate that the exchange rate sensitivity of multilateral export prices (in terms of the exporter's local currency) has moved up sharply in recent years for the Asian NIEs and Canada. Estimates obtained when five-year windows are used, although somewhat volatile, shed useful light on these results. For the Asian NIEs, the increased export price sensitivity appears to be strongly related to the effects of the Asian financial crisis. For Canada, the sensitivity of export prices seems to depend on the direction of moves in the exchange rate. Given Canada's dependence on U.S. demand (85 percent of the country's exports go to the United States), Canadian exporters appear to cut their prices in the U.S. market when the U.S. dollar is strong but are hesitant to raise their prices when the greenback is weak. In contrast, the exchange rate sensitivity of export prices for Japan, Germany, and the United States has moved much less over the past couple of decades.

Third, for exports to the United States, profit margins-denominated in the exporter's local currency-have narrowed since the dollar peaked in early 2002. As such, the low level of pass-through in the U.S. market does seem to have taken a toll on profit margins. That said, it remains an open issue as to whether profit margins on exports to the United States are now "too narrow" or margins were unusually high several years ago.

The remainder of this paper is organized as follows. We first consider an analytical framework that highlights some of the factors that are likely to play a role in determining the sensitivity of export prices to the exchange rate. The following section then lays out our empirical strategy and considers some key data. The final two sections present the empirical results and offer some concluding thoughts.

2.   An Analytical Framework

This section briefly outlines an analytical framework that provides intuition regarding the key economic factors that determine the extent of exchange rate pass-through. We consider a foreign firm that produces a single differentiated product for sale in n segmented markets. The firm and all of its production are located in market 1. Sales in markets 2 through n are exports. The firm's profits are given by:3$ ^{ }$

$\displaystyle \sum\limits_{i\,=\,1}^{n} {p_{i} \,q_{i} \,} -\,C\left[ {\sum \limits_{i\,=\,1}^{n} {q_{i} ,\,pd_{1} ,\,pm_{1} \,} } \right]$ (1)

where p$ _{i}$ is the price (in the firm's local currency) charged for sales to market i; q$ _{i}$ is the quantity sold in market i; and C[ ] is total cost as a function of total output ($ \Sigma$q$ _{i})$, the price of domestic inputs (pd$ _{1})$, and the price of imported inputs in terms of the firm's local currency (pm $ _{1})$.4

Demand in each market (equation (2)) is a function of the price of the good relative to the average price of competing goods in the buyer's market. The exchange rate, e$ _{i}$, is defined as the number of units of country i currency for each unit of country 1 currency. The competitors' price in terms of country i currency is pc$ _{i}$. In principle, the competitors' price includes the prices of domestic producers in the destination market as well as the prices of third-country exporters to that market. This demand curve reflects not only consumer behavior in the destination market, but also market features such as the degree of concentration and the exporter's market share. Consumer demand, in turn, may depend on the state of the business cycle or other conditions in the destination market.

$\displaystyle q_{i} \,=\,Q_{i} \left[ {\frac{e_{i} \,p_{i} }{pc_{i} } ,\,\,other\,factors\,\,in\,\,country\,\,i} \right] \,\,\,\,\,i\,=\,1,....,\,n\,\, \quad\frac{\partial q_{i} }{\partial\left[ {\frac{e_{i} p_{i} }{pc_{i} }} \right] }<0$ (2)

Maximization of (1) subject to (2) and taking a first-order logarithmic approximation yields the following relationship for the price charged by the exporting firm (expressed in the firm's local currency):

$\displaystyle 1$n$\displaystyle \left( {p_{i} } \right) \,=\,\mu_{i} \,+\,\beta_{i} \,\ln (MC)\,+\,\left( {1\,-\,\beta_{i} } \right) \ln\,\left( {\frac{pc_{i} }{e_{i} }} \right) ,\,\,\,\,\,s.t.\,p_{i} \,\ge\,MC$ (3)

where $ \mu$$ _{i}$ and $ \beta$$ _{i}$ are destination-specific coefficients that are functions of the demand curve in each market, and MC is marginal cost expressed in the exporter's local currency. Differences in $ \mu$$ _{i}$ (for i=1,...,n) reflect differences in markups across markets that are not related to prices and costs, whereas differences in $ \beta$$ _{i}$ determine the responsiveness of markups to changes in marginal cost and competitors' prices in each market. A key feature of equation (3) is the restriction that the coefficients on marginal cost and competitors' prices sum to one. This homogeneity restriction is necessary for long-run monetary neutrality.

For most plausible demand curves, $ \beta$ is expected to lie between 0 and 1. As such, the constant markup model is a special case of equation (3) in which $ \beta$=1 and $ \mu$ is the markup over marginal cost.5 For $ \beta$$ <$1, the markup of price over marginal cost depends on both $ \mu$ and $ \beta$. In this case, producers find it optimal to adjust their markups in response to competitors' prices, and they do not fully pass-through changes in marginal cost because of the competitive disadvantage that implies. In general, as $ \beta$ declines, exporting firms find it more difficult to pass through shifts in their marginal costs and are increasingly faced with the choice of matching their competitors' price or exiting the market.

Note that the price of imports in terms of country i's currency is just the export price in terms of country 1's currency multiplied by the exchange rate. Thus, equation (3) can be translated into an equation for country i's import prices by adding the logarithm of the exchange rate to both sides:

$\displaystyle \ln\left( {e_{i} \,p_{i} } \right) \,=\,\mu_{i} \,+\,\beta_{i} \,\ln\left( {e_{i} \,MC} \right) \,+\,\left( {1\,-\,\beta_{i} } \right) \,1n\left( {pc_{i} } \right)$ (4)

where all three variables (the price of the good, the firm's marginal cost, and the competitor's price) are now expressed in terms of the currency of country i.

Differentiating equations (3) and (4) yields the following expressions for the "direct effect" of changes in the exchange rate on export prices (equation (3')) and import prices (equation (4')):6

$\displaystyle \partial ln(p_{i}\mathit{)/\partial ln(e}_{i})_{ }= \mathbf{\mathit{\beta}}_{i }-1$ (3')

$\displaystyle \partial ln(e_{i} p_{i})/\partial ln(e_{i}) = \mathbf{\mathit{\beta}}_{i}$ (4')

The exchange rate's direct effect on the price of exports (denominated in the exporter's local currency) is $ \beta$$ _{i}$ -1, whereas the direct effect of the same exchange rate move on the price of imports (in terms of the importing-country's currency) is $ \beta$$ _{i}$. We thus equate $ \beta$$ _{i}$ with pass-through to import prices and $ \beta$$ _{i}$ -1 with pass-through to export prices.

With these observations in hand, we can sketch out the implications of various values of $ \beta$$ _{i }$for pricing behavior:

Notably, equations (3) and (4) describe bilateral trade prices between country 1 and country i. It is a straight-forward exercise, however, to aggregate these equations across trading partners to find expressions for the multilateral export price of country 1 and the multilateral import price of country i. Indeed, aggregate versions of these equations are the basis for the empirical work that is reported in the following sections of this paper.

We finally observe that $ \beta$ $ \mathrm{g}$nd $ \mu$ $ \mathrm{g}$re not deep, constant parameters of the economic model but may vary over time in response to changes in the frequency and types of economic shocks and the broad features of the economic environment. Specifically, Feenstra, Gagnon, and Knetter (1996) derive a nonlinear relationship between $ \beta$ and the aggregate market share of exporters from a given source country. Gust, Leduc, and Vigfusson (2006) show that, in a world with strategic complementarity among goods, an improvement in the competitive position of foreign exporters relative to domestic firms (owing, for example, to reduced tariff barriers or lower transportation costs) may increase the willingness of foreign exporters to vary the home-currency price of their exports in response to moves in the exchange rate. Taylor (2000) suggests that the "perceived persistence" of economic shocks may affect the extent of pass-through as well.

3.   Empirical Strategy and Key Data

3.1   Empirical specification

The baseline model that we use to examine the responsiveness of export prices to changes in the exchange rate is an empirical analog of equation (3). We take export prices denominated in the exporter's currency as the dependent variable (PX$ _{t})$. The first explanatory variable, E$ _{t}$, is the exporting country's nominal effective exchange rate (a trade-weighted average against the currencies of 35 countries, with a rise indicating a depreciation of the exporter's currency).7 The second explanatory variable, PF$ _{t}$, is the PPI of the exporting-country, which serves as a proxy for the marginal costs borne by exporting firms.8 This yields the following empirical model:

$\displaystyle \Delta ln(PX_{t})=\mu+\delta(L)\Delta ln(E_{ t}) + \beta(L)\mathrm{g}\Delta ln(PF_{t}) + u_{t }$ (5)

where $ \delta$( ) and $ \beta$( ) are polynomials in L, the lag operator. Accordingly, the value of $ \delta$(1) is the total exchange rate sensitivity of export prices (denominated in the exporter's currency), and $ \beta$(1) is the total sensitivity of export prices to shifts in the exporting country's domestic price level. Both of these coefficients are expected to be positive.

Relative to equation (3) above, equation (5) does not include competitors' prices in export markets. We controlled for these prices in a variety of preliminary regressions, and the estimated coefficients were almost uniformly insignificant. For this reason, we have excluded this variable from our specification. The model is estimated using quarterly data. We find that exchange rate pass-through to export prices tends to occur quite rapidly, with the effects fully captured by the contemporaneous change in the exchange rate and a one-quarter lag. The lag structure for PF$ _{t}$ is identical.

Two other comments about equation (5) are useful. First, note that in the analytical framework outlined above, equation (3) implies that $ \delta \mathrm{o}\mathrm{x}\mathrm{p}\mathrm{g}$quals (1- $ \beta\mathrm{o} \mathrm{x}\mathrm{p})$.9 This, in turn, suggests that $ \delta\mathrm{o}\mathrm{x}\mathrm{p}\mathrm{g}$nd $ \beta\mathrm{o} \mathrm{x}\mathrm{p}$ should sum to unity-a relationship that arises as a result of the homogeneity restriction that is imposed on equation (3). We will explicitly test this implication of the homogeneity restriction in our empirical work below. Second, another feature of the analytical framework is that the parameter $ \beta_{i}$ governs the extent of exchange rate pass-through into country i's import prices (shown in equation (4)) as well as the extent to which shifts in marginal costs are reflected in country 1's export prices (shown in equation (3)). In other words, the pass-through of exchange rate changes into import prices (expressed in the importing country's currency) is posited to be equivalent to the pass-through of cost shocks into export prices (expressed in the exporting country's currency). To the extent that this is the case empirically, the estimated coefficient on PF$ _{t}$, our proxy for marginal cost, will provide an alternative metric for assessing exchange rate pass-through to import prices.

Finally, we note that the estimated coefficient $ \delta$(1) reports the average relationship between export prices and the exchange rate across the range of shocks that hit the exchange rate during the sample period. In this respect, our empirical work is distinctly reduced-form in flavor. As further indication of the reduced form nature of our work, we also note that shocks to export prices could at times feed back onto the exchange rate; this may particularly be an issue for a commodity-exporting country such as Canada. We would typically address this endogeneity issue by using instrumental variables, but the availability of plausible instruments for the exchange rate is limited and continuing the search for such instruments is beyond the scope of our paper.

3.2   Export price data and the profit margins of foreign exporters

In estimating this model, we use two complementary sources of data. First, with an eye toward examining the pricing behavior of firms exporting to the United States, we employ Bureau of Labor Statistics (BLS) data on bilateral U.S. import prices by region. These bilateral data are available in sufficiently long time series for the European Union, Japan, Canada, and the Asian NIEs.10 Second, we also study the multilateral export price data for goods exported from these countries-that is, the prices charged to all destinations; these data are drawn from country sources. Throughout this paper, we express the BLS data in terms of the exporting country's currency in order to be comparable with the multilateral export price data. Our examination focuses on the prices of exported goods, including raw materials.$ ^{ }$11 We do not consider the behavior of services prices.

The BLS data on prices charged in the U.S. market may behave differently than foreign multilateral export price data for several reasons. First, the quality or product composition of exports to the United States may differ from that to other destinations. Second, the pricing behavior of exporting firms may differ across export destinations, i.e., exporters may engage in price discrimination across their various export destinations. Third, differences in the methodology used to construct the price indexes may also contribute to deviations between them.12These possibilities are considered in more detail below.

Despite these potential sources of divergence, Figures 1 and 2 show that the foreign export price data (the dotted lines) and the BLS data (the dashed lines) generally trend together over time. In particular, following the dollar's peak in early 2002, both measures posted declines for the EU and Japan, although the prices charged in the United States fell by more in both cases. For Canada, the U.S. dollar did not decline in earnest against the Canadian dollar until early 2003, but Canadian export prices and the BLS measure both declined on balance thereafter. (As 85 percent of Canadian exports go to the United States, the two measures move very closely together.) For the Asian NIEs, multilateral export prices climbed in 2004, but the BLS measure of prices charged in the U.S. market continued to drift down. In general, the BLS data showed marked declines following the dollar's peak in early 2002, while multilateral export prices for these economies fell less or posted modest increases.

Figures 1and 2 also display measures of economy-wide unit labor costs for these countries. To the extent that such measures accurately reflect the costs borne by foreign exporters, movements in the profit margins of exporting firms may be proxied by changes in export prices relative to changes in unit labor costs.13 Given this proxy for profit margins, the BLS data suggest that foreign margins in the U.S. market recorded notable declines following the dollar's peak in early 2002 (see Table 1). However, similar calculations using multilateral export prices indicate that exporting firms in Japan, Canada, and East Asia eked out gains in their margins from 2002:Q1 through 2004:Q4, with a moderation in unit labor costs helping offset soft or declining multilateral export prices. The European Union is the one region for which multilateral profit margins registered a decline.

This configuration of results suggests that foreign exporters saw their margins compressed in the United States as the dollar depreciated, but they were able to offset this in other markets-likely in markets in which their currencies remained more competitive. (Of course, exporters from the euro area had little scope to pursue this strategy, as the euro moved up against essentially all currencies.)

While our proxy for profit margins on exports to the United States narrowed after early 2002, we do not have sufficient evidence to conclude that the profit margins that prevailed in late 2004 were "too narrow"-profits several years earlier might have been unusually high. As just one case in point, the first three columns of Table 1 compare movements in export prices and unit labor costs over the preceding period, 1995-2002. This exercise suggests that profit margins on exports to the United States posted a dramatic run-up between the dollar's trough in the spring of 1995 and the dollar's peak in early 2002. Indeed, despite the subsequent unwinding, profit margins for Japanese exporters to the United States in late 2004 remained well above those that prevailed in the second quarter of 1995, while profit margins for European Union, Canadian, and Asian NIE exporters were either up some or little changed on balance. On a multilateral basis, the profit margins of exporters from these economies were all up in late 2004 relative to the spring of 1995, albeit to varying degrees.

4.   Regression Results

4.1   Benchmark model

Table 2 reports the results obtained when we estimate equation (5). Foreign multilateral export prices denominated in the exporter's currency are regressed on the exporting country's nominal effective exchange rate (NEER) and PPI.$ ^{ }$ Our regressions begin in the early 1980s, except for the aggregate EU where data do not become available until 1989. As noted above, for Canada, PPI data are used explicitly in compiling the export price index, creating a high correlation between export prices and the PPI by construction (Statistics Canada, 2006). For this reason, we use the Canadian CPI as our proxy for the country's domestic prices.

As shown in Table 2, the response of foreign multilateral export prices to movements in the NEER is statistically significant, but the degree of sensitivity varies across countries and regions. Specifically, the estimated coefficients for the European Union as a whole, the United Kingdom, Canada, and the Asian NIEs are all in the neighborhood of 0.3, while the coefficient for Japan is near 0.5.$ ^{ }$ These results suggest that a 10 percent nominal effective depreciation of the EU currencies, the Canadian dollar, or the Asian NIE currencies would raise the price of exports from these regions about 3 percent (in terms of their own currencies), whereas a similar decline in the nominal effective yen would boost the yen price of Japanese exports 5 percent. (Equivalently, in terms of the currencies of importing countries, European, Canadian, and Asian NIE export prices would decline 7 percent, and Japanese export prices would decline 5 percent.)

In contrast, German domestic-currency export prices have shown surprisingly little responsiveness to the NEER, implying almost complete pass-through in terms of importing countries' currencies. The results for Germany indicate that the country's export prices move closely with the domestic price level. The responsiveness of U.S. export prices to the NEER, shown in the last line of Table 2, is somewhat higher than that for Germany but nevertheless is also quite low. These results, however, do not rule out the possibility that the exchange rate may influence U.S. or German export prices indirectly through effects on the PPI.

As mentioned above, the homogeneity restriction in equation (3) implies that the coefficients on the exchange rate and the price level in the exporting country should sum to one. Hypothesis tests-reported in column (8)-indicate that the homogeneity condition is rejected for Germany and the United Kingdom but is not rejected for the aggregate EU, Japan, Canada, the Asian NIEs and the United States.

To examine the robustness of these results, the upper panel of Table 3 shows estimates obtained when the NEER is replaced by the nominal bilateral exchange rate against the dollar. Two key results emerge from this specification. First, in most cases, foreign multilateral export prices actually appear to be about as sensitive to the dollar as they are to the NEER, and the regression coefficients are estimated with somewhat greater precision. Second, and even more striking, the R$ ^{2 }$statistics for this model are as high as-or higher than-those for the baseline model. The homogeneity condition, however, is rejected in every case except the aggregate EU.

The lower panel of Table 3 reports the results obtained when foreign multilateral export prices (denominated in the exporter's currency) are regressed on a streamlined model that includes the nominal bilateral dollar as the only explanatory variable. In this case, the exchange rate sensitivities remain near those shown in Table 2, and-with the notable exception of Germany-the R$ ^{2 }$statistics are also broadly similar. Taken together, the results in Table 3 underscore the importance of the dollar and, perhaps, the centrality of the U.S. market in influencing the evolution of the prices of traded goods internationally.$ ^{ }$

A question that emerges from our work is why the exchange rate sensitivity of export prices is lower in the United States and Germany than in the other countries. Certainly, both the United States and Germany export sophisticated capital goods, which may give them pricing power within certain market niches. This explanation should not be overstated, however, since Japan and the Asian NIEs (at least to some extent) also export these kinds of products. We conjecture that for the United States an additional factor is the very large home market, which may limit firms' incentives to deviate from the prevailing domestic price. German exporters might have experienced similar effects, given both the large domestic market and the deepening of European integration that occurred during the sample period. These hypotheses, however, are tentative and only suggest directions for future work. For example, a careful exploration of the dis-aggregated trade data may help uncover further evidence.

4.2   The exchange rate sensitivity of export prices charged in the U.S. market

The previous regressions have focused on multilateral export prices, i.e., the prices of exports to all markets. In the upper panel of Table 4, we turn to the related issue of whether the prices charged on exports to the United States manifest behavior that differs systematically from the prices charged to other destinations. Because foreign countries do not publish price indexes for their bilateral exports, we use as a proxy-and as the dependent variable in our regressions-the BLS indexes of bilateral U.S. import prices, which we translate into the exporter's currency. These BLS indexes are available in sufficient time series for the European Union, Japan, Canada, and the Asian NIEs. The explanatory variables in these regressions are the nominal bilateral dollar exchange rate and the exporting country's PPI. (The BLS data begin only in 1991; for purposes of comparison, the lower panel of Table 4 reports the results obtained when our benchmark model-equation (5)-is estimated with a sample that also begins in 1991.) As shown in Figure 3, in recent years, exports to the United States have accounted for about 10 percent of exports from Germany and from the EU as a whole, about 15 percent of exports from the United Kingdom, about 20 percent of exports from Japan and the Asian NIEs, and about 85 percent of Canada's exports.

Without exception, the estimated coefficients for the export prices charged in the U.S. market are more sensitive to the exchange rate than is the case for multilateral export prices. As displayed in the upper panel, estimates for all four regions suggest that over the last decade or so, a 10 percent appreciation of the exporter's currency against the dollar has been associated with a 7 to 8 percent decline in export prices charged in the U.S. market (denominated in the currency of the exporting country).14 In contrast, as shown in the lower panel, for these same four regions, a 10 percent appreciation of their currencies since 1991 would result in a decline in their multilateral export prices ranging from 3 percent to 5 $ \raise.5ex\hbox{$\scriptstyle 1$}\kern-.1em/ \kern-.15em\lower.25ex\hbox{$\scriptstyle 2$} $ percent.15

The greater exchange rate sensitivity of export prices charged in the U.S. market is equivalent to showing that import price pass-through is lower in the United States than in other economies on average, thus confirming results elsewhere in the literature.16Consistent with Dornbusch (1987), we would explain the greater willingness of foreign exporters to vary their margins when selling into the U.S. market as reflecting the large size of the U.S. marketplace and the resulting fact that there are competing U.S. producers-or producers from countries whose currencies are closely linked to the dollar-for most goods exported to the United States. In addition, as suggested by Campa and Goldberg (2005), the relative macroeconomic stability that has prevailed in the United States over the last couple of decades has likely played some role as well.17Finally, as shown in Figure 3, in every country except Japan, finished goods (i.e., autos, capital goods, and consumer goods) account for a somewhat larger share of exports to the United States than is the case for multilateral exports. Evidence suggests that exchange rate pass-through to the import prices of finished goods is lower than pass-through for more commodity-intensive products.18$ ^{,} $19

As noted above, an implication of our analytical framework is that the coefficient $ \beta$ reflects both the extent of exchange rate pass-through to country i's import prices and the extent to which shifts in marginal cost are reflected in export prices. As such, the estimated coefficient on foreign prices, which proxy for marginal cost, should provide an additional window into import price pass-through. For the bilateral export price results shown in the upper panel of Table 4, the estimated coefficients on the exporting country's prices are generally quite low. Notably, these coefficients are much lower than their multilateral counterparts in the lower panel, again suggesting that import price pass-through in the U.S. market is more muted than in other markets on average. Finally, it is worth noting that for every specification in the upper panel of Table 4, we fail to reject the homogeneity condition that requires the coefficients on the exchange rate and the exporting country's price level to sum to unity.

4.3   Rolling regressions

This section employs the baseline specification outlined in equation (5) to conduct rolling regressions for a number of countries/regions where sufficient data are available. The rolling regressions use a ten-year window and show how the domestic-currency price of multilateral exports responds to movements in the NEER. The goal is to assess whether any of these countries have seen their export prices (denominated in their local currencies) become more sensitive to exchange rate movements, which might be seen as a counterpart to the recent decline in import price pass-through observed in the United States and several other countries. As a robustness check, we also report results obtained when five-year rolling windows are used; although these estimates are somewhat volatile and should be interpreted with caution, they nevertheless provide a useful alternative look at the data.

The results for Germany, which are reported in the top panel of Figure 4, suggest that the exchange rate sensitivity of German export prices has been low and remarkably stable over time, with neither German re-unification in 1990 nor the introduction of the euro in 1999 leaving a perceptible imprint on the estimates.20 The exchange rate sensitivity of Japanese export prices is markedly higher than for Germany, with the estimates obtained using a ten-year window cycling around 0.5 through most of our sample period and drifting up only slightly of late. The five-year samples, however, show a more striking upward move in recent years.

For the United Kingdom, the estimates obtained using a ten-year window manifest an upward trend through much of the sample period, but this is rapidly reversed in early 2003. We conjecture that the sharp decline in the exchange rate sensitivity of UK export prices at that time reflects the fact that the late-1992 ERM crisis had finally rolled out of the sample. Consistent with this hypothesis, the estimates using a five-year window move down sharply in early 1998. In the most recent five-year and ten-year samples, however, the responsiveness of UK export prices to the exchange rate has again picked up.

For Canada, ten-year rolling windows show the exchange rate sensitivity of export prices (Figure 5) stepping up from near zero for windows ending in the first half of the 1990s to roughly 0.3 to 0.4 in most subsequent ten-year samples. We hypothesize that the timing of this upward move in the sensitivity of export prices is linked to NAFTA and the deepening economic integration with the United States.21$ ^{,} $22 The results using five-year windows amplify this observation. The exchange rate sensitivity of Canadian export prices seems to have moved inversely with the strength of the U.S. dollar-rising in the mid-1990s as the dollar weakened, falling through the late 1990s and early this decade as the dollar strengthened, and rising over the past couple of years as the dollar again depreciated. Canadian exporters, given their dependence on demand from the United States and the deepening integration between the two countries, have apparently aimed to protect (or bolster) their share of the U.S. market, cutting their prices in the United States when the U.S. dollar appreciates but not fully hiking their U.S. prices when the greenback falls.

For the Asian NIEs, the exchange rate sensitivity of export prices estimated using ten-year samples jumped from 0.1 to 0.5 in the late 1990s, about the time of the Asian financial crisis. In subsequent years, this sensitivity has increased further, to around 0.7. The results obtained using five-year samples shed important light on what is driving these estimates. Specifically, the exchange rate sensitivity of Asian NIE export prices rose sharply during the time of the Asian financial crisis, suggesting that exporting firms maintained their foreign- currency prices even as exchange rates in the region depreciated sharply. Notably, however, once the period of the financial crisis rolls out of the five-year window, the estimated sensitivity of export prices declines rapidly. As such, our results indicate that the elevated exchange rate sensitivity observed in the ten-year estimates owes more to the effects of the crisis and the immediate aftermath than to subsequent events in the region.

Finally, the bottom panel reports the sensitivity of U.S. export prices to moves in the nominal effective dollar. When a ten-year rolling window is used, we find that this sensitivity has cycled between zero and 0.2 over the past couple of decades and is now statistically significant and near the top of that range. This result indicates that a 10 percent decline in the dollar is associated with a 2 percent rise in U.S. export prices. The estimates obtained using five-year samples show a bit more of an increase, to just under 0.3, in the most recent samples.

4.4   Andrews tests of parameter stability

The results from our rolling regressions suggest that the coefficients in our benchmark specification have changed over the sample period. As a more formal test of this hypothesis, we follow the procedure outlined by Andrews (1993) and perform a recursive Chow test with an unknown break date. Taking the appropriate critical value from Stock and Watson (2003), we reject the null hypothesis that the coefficients in the regression model are constant over time for every country except the United States. As shown in Table 5, the identified break points tend to have intuitive explanations, reflecting the varying experiences of these countries. For example, the break points for the Asian NIEs and Japan come during the height of the Asian financial crisis, while the break point for Germany occurs at the dollar's peak in the mid-1980s.$ ^{ }$ (Given the stability of our estimates for Germany, the presence of a structural break may be somewhat surprising; but the key point is that at the identified break date there is a big move in the German data relative to the customary volatility of the German data.) The break point for the United Kingdom comes somewhat after the ERM crisis, and the one for Canada comes near the loon's all-time low against the U.S. dollar early this decade.

Table 5 also indicates which model parameters shifted significantly before and after the break dates. Confirming our earlier evidence, the responsiveness of export prices to exchange rate movements increased markedly in emerging Asia and Japan and, to a lesser extent, in Canada. We also find that the exchange rate sensitivity of U.S. export prices stepped down significantly near the time of the dollar's peak in the mid-1980s.

4.5   How well do these results explain the recent U.S. experience?

Figure 6 seeks to summarize the implications for U.S. import prices of the rolling regressions reported in Section 4.3. The solid line in the upper panel shows estimates of pass-through to U.S. non-oil import prices obtained from a rolling regression with ten-year windows, as in Marazzi, Sheets, and Vigfusson (2005).23 The results of this regression indicate that pass-through to U.S. import prices has fallen from about 0.6 for windows ending in the first half of the 1990s to between 0.3 and 0.4 in samples ending in the late 1990s and thereafter. The other line shows a counterfactual U.S. import price response-that is, the estimate of pass-through to U.S. import prices that is implied by weighting up our rolling multilateral export price sensitivities for Germany, Japan, the United Kingdom, Canada, and the Asian NIEs using shares of U.S. imports. (These trading partners account for nearly half of U.S. non-oil imports.)

The striking result is that this counterfactual response declines roughly in sync with the solid line, from 0.8 until the mid-1990s to below 0.6 in the latest ten-year samples. The fact that the dashed-dotted line is well above the solid line again confirms that pass-through to the United States is below that to other countries on average. Consistent with this observation, recall that the evidence reported in Table 4 indicates that the relevant issue is not where goods come from but rather their destination. Using the estimates in Table 4, an import-weighted average of multilateral export price sensitivities would imply pass-through to U.S. import prices of roughly 0.2 to 0.3, which is quite close to the estimate for all U.S. import prices. These results suggest that the decline in pass-through to U.S. import prices is not unique to the U.S. market, as this appears to be a feature of multilateral export prices sensitivities as well. What is unique to the United States is the low level of pass-through.

The lower panel of Figure 6 replicates this exercise using estimates from five-year rolling samples. As in the upper panel, the pass-through estimates obtained from U.S. import prices step down during the sample period to around 0.3. The counterfactual response of U.S. import prices (based on multilateral export price elasticities) declines steeply for samples ending until 1998, but then rises back up to between 0.6 and 0.7 for recent periods. While these results should be interpreted with caution (given the relatively short windows used in the estimation), the recent divergence between these two lines reinforces our view that foreign exporters have simply been more willing to vary their margins when selling into the U.S. market. Moreover, this difference in pricing behavior seems, if anything, to have become more pronounced in recent years.

5.   Conclusions

This paper complements the recent literature on exchange rate pass-through to import prices by studying the key issues from the opposite side of the transaction-that is, by examining the exchange rate sensitivity of export prices. In the process, we have identified several stylized facts that deepen our understanding of the contours of the pricing of globally traded goods. First, we find strong evidence-based on a range of empirical exercises and data sources-that the prices foreign exporters charge in the U.S. market are more responsive to the exchange rate than is the case for other markets on average. In this respect, the United States is special. Second, we also find evidence that the dollar plays a unique role in the determination of global traded goods prices, apparently reflecting both the prominent international role of the dollar and the centrality of the U.S. marketplace. Third, moves in the exchange rate sensitivity of export prices over time appear to have been significantly affected by country and region-specific factors, including the Asian financial crisis (for emerging Asia), deepening economic integration with the United States (for Canada), and the effects of the 1992 ERM crisis (for the United Kingdom). In our view, further exploration of these results and their attendant implications should provide fertile ground for future research.

References

Andrews, D., 1993, "Tests for Parameter Instability and Structural Change with Unknown Change Point," Econometrica, 61(4), 821-856.

Bureau of Labor Statistics, 1997, "International Price Indexes," Handbook of Methods, Washington, D.C.

Bussiere, M., 2004, "Non-linear Exchange Rate Pass-through?" mimeo, European Central Bank, December.

Campa, J. and L. Goldberg, 2005, "Exchange Rate Pass-through into Import Prices," Review of Economics and Statistics, 87, 679-690.

Campa, J. and L. Goldberg, 2002, "Exchange Rate Pass-through into Import Prices: A Macro or Micro Phenomenon?" NBER Working Paper 8934, May.

Dornbusch, R., 1987, "Exchange Rates and Prices," American Economic Review, 77, 93-106.

Feenstra, R., J. Gagnon, and M. Knetter, 1996, "Market Share and Exchange Rate Pass-Through in World Automobile Trade," Journal of International Economics, 40, 187-207.

Frankel, J., D. Parsley, and S. Wei, 2005, "Slow Pass-through around the World: A New Import for Developing Countries?" NBER Working Paper 11199, March.

Gagnon, J. and M. Knetter, 1995, "Markup Adjustment and Exchange Rate Fluctuations: Evidence from Panel Data on Automobile Exports," Journal of International Money and Finance, 14, 289-310.

Goldberg, L. and C. Tille, 2004, "Vehicle Currency Use in International Trade," mimeo, Federal Reserve Bank of New York, December.

Goldberg, P. and M. Knetter, 1997, "Goods Prices and Exchange Rates: What Have We Learned?" Journal of Economic Literature, 35, 1243-1272.

Gron, A. and D. Swenson, 2000, "Cost Pass-through in the U.S. Automobile Market," The Review of Economics and Statistics, 82, 316-324.

Gust, C., S. Leduc, and R. Vigfusson, 2006, "Trade Integration, Competition, and the Decline in Exchange Rate Pass-through," International Finance Discussion Paper 864, August.

Ihrig, J., M. Marazzi, and A. Rothenberg, 2006, "Exchange Rate Pass-through in the G-7 Economies," International Finance Discussion Paper 851, January$ .$

International Monetary Fund, 1993, Balance of Payments Manual, Fifth Edition, Washington, D.C.

International Monetary Fund, 1993, Direction of Trade Statistics Yearbook, Washington, D.C.

Knetter, M., 1989, "Price Discrimination by U.S. and German Exporters," The American Economic Review, 79, 198-210.

Knetter, M., 1993, "International Comparisons of Pricing-to-Market Behavior," The American Economic Review, 83, 473-486.

Knetter, M., 1995, "Pricing to Market in Response to Unobservable and Observable Shocks," International Economic Journal, 9, 1-25.

Marazzi, M., N. Sheets, and R. Vigfusson, et al., 2005, "Exchange Rate Pass-through to U.S. Import Prices: Some New Evidence," International Finance Discussion Paper 833, April$ .$

Olivei, G., 2002, "Exchange Rates and the Prices of Manufacturing Products Imported into the United States," New England Economic Review, First Quarter, 3-18.

Otani, A., S. Shiratsuka, and T. Shirota, 2003, "The Decline in Exchange Rate Pass-Through: Evidence from Japanese Import Prices," Monetary and Economic Studies, 21, 53-81.

Otani, A., S. Shiratsuka, and T. Shirota, 2005, "Revisiting the Decline in Exchange Rate Pass-Through: Further Evidence from Japan's Import Prices," IMES Discussion Paper Series No. 2005-E-6, July.

Sekine, T., 2006, "Time-Varying Exchange Rate Pass-through: Experiences of Some Industrial Countries," BIS Working Papers, No. 202, March.

Statistics Canada, 2006, "Detailed Information for December 2005," International Trade Price Indexes, Record Number 2203, February.

Stock, J. and M. Watson, 2003, Introduction to Econometrics, Boston: Addison Wesley.

Taylor, J., 2000, "Low inflation, pass-through, and the pricing power of firms," European Economic Review, 44, 1389-1408.

Figure 1

Figure 1 consists of two graphs presented in a 2-by-1 matrix. The top graph is for the European Union. The x-axis of each graph is labeled in years from 1989 to 2004.  The y-axis is labeled Index, 2000 equals 100.  The values on the y-axis run from 60 to 110.  There are four lines on this graph: the BLS Bilateral Total Import Price Index in European Currency, the Multilateral Export Price Index, Unit Labor Costs, and Exchange Rate (Foreign-to-U.S.-dollar). The line for the BLS Bilateral Total Import Price index in European Currency begins in 1991 with a value of 70.  It moves within the range of 70 and 85 until the beginning of 1999.  In the beginning of 1999, it trends steeply upwards reaching 105 by the middle of 2005.  It remains at around 100 until the end of 2001.  It then trends steeply downward and ends in 2004 at 80. The line for the Multilateral Export Price Index begins in 1989 with a value of 69.  It trends upwards slowly and reaches 100 by the middle of 2000.  It trends slightly downwards and ends in 2004 with a value of 95. The line for the Unit Labor Costs trends upwards for most of the graph.  From 1989 to the middle of 1993, it is slightly steeper than the 1993 to 2004 period.  In 1989, the line begins with a value of 82.  It reaches 100 by the middle of 1993.  It finishes with 105 in 2004. The line for the Exchange Rate (Foreign/US$) begins in 1989 with a value of 88.  It drops to 72 by the end of 1990.  It increases to 80 by the middle of 1991 and falls back down to 70 by the middle of 1992.   Again, it increases to about 82 in the beginning of 1994 and then falls to 70 in the middle of 1995.  From there, the line trends upward and reaches 105 by the middle of 2005.  It remains around 100 until the end of 2001.  It then trends steeply downward and ends in 2004 at about 73. The bottom graph is for Japan. The x-axis of each graph is labeled in years from 1989 to 2004.  The y-axis is labeled Index, 2000 equals 100.  The values on the y-axis run from 60 to 150.  There are four lines on this graph: the BLS Bilateral Total Import Price Index in European Currency, the Multilateral Export Price Index, Unit Labor Costs, and Exchange Rate (Yen-to-U.S.-dollar). The line for the BLS Bilateral Import Price Index in Yen begins in 1991 with a value of 115.  It trends downwards and reaches a value of 85 by the middle of 1995.  It then increases to about 125 in the middle of 1998.  It decreases to 95 by the end of 1999 before increasing again in the beginning of 2002.  It slowly trends downwards and ends in 2004 with a value of 95. The line for the Multilateral Export Price Index begins in 1989 with a value of 130.  It trends downwards and reaches a value of 100 by the middle of 1995.  It then increases to about 125 in the middle of 1998.  It decreases to 100 by the end of 1999.  It moves between 95 and 105 for the remaining years.  The line for the Unit Labor Costs begins at 90.  It increases to 110 in the beginning of 1993.  From here, it slowly trends downwards and ends in 2004 with a value of 90.  The line for the Exchange Rate (Yen/US$) begins in 1989 with a value of 120.  It then increases to 145 by the middle of 1990.  It trends downwards to 75 by the middle of 1995.  From there, it increases.  In 1998, the index is 130.   It decreases to 90 in the end of 1999 before increasing to 125 in the middle of 2001.  It slowly decreases and ends at 100 in 2004.

Figure 2

Figure 2 consists of two graphs presented in a 2-by-1 matrix. The top graph is for Canada. The x-axis of each graph is labeled in years from 1989 to 2004.  The y-axis is labeled Index, 2000 equals 100.  The values on the y-axis run from 60 to 120.  There are four lines on this graph: the BLS Bilateral Total Import Price Index in European Currency, the Multilateral Export Price Index, Unit Labor Costs, and Exchange Rate (Canadian-dollar-to-U.S.-dollar). The line for the BLS Bilateral Total Import Price Index in Canadian Dollars begins in 1991 with a value of 65.  It steadily increases and reaches 110 in the beginning of 2001.  It trends slowly downwards and ends at 95 in the end of 2004. The line for the Multilateral Export Price Index begins at 85.  It falls to 78 in the end of 1991.  From there, it trends upwards to 107 by the middle of 2000.  It moves between 92 and 107 for the remaining years.  In 2004, it ends at 98. The line for the Canadian Unit Labor Costs begins in 95 and increases to 110 in 1991.  It moves between 100 and 110 for the remaining years. The line for the Exchange Rate ($Cd/$US) begins in 1989 with a value of 80.  It trends upward and reaches 105 by the middle of 2001.  It then begins to decrease and ends in 2004 at 82. The bottom graph is for the Asian newly industrialized economies.  The Asian NIEs consist of Hong Kong, Korea, Singapore, and Taiwan. The x-axis of each graph is labeled in years from 1989 to 2004.  The y-axis is labeled Index, 2000 equals 100.  The values on the y-axis runs from 70 to 130.  There are four lines on this graph: the BLS Bilateral Total Import Price Index in European Currency, the Multilateral Export Price Index, Unit Labor Costs, and Exchange Rate (Foreign-to-U.S.-dollar). The line for the BLS Bilateral Import Price Index in Asian Currency begins in 1991 with a value of 102.  It stays within the range of 100 and 105 over the next few years until 1997. It then spikes upwards to 125 by the beginning of 1998.  It decreases sharply to 100 by the beginning of 2000.  It trends downwards and reaches 90 by the end of 2004. The line for the Multilateral Export Price Index begins in 1989 with a value of 95.  It moves within the range of 95 and 105 for several years until the middle of 1997.  It then spikes up to about 120 by the end of 1997.  From there, it decreases back down to 97 in the end of 1998.  It moves within the range of 92 and 98 for the remaining years. The line for the Unit Labor Costs contains only data from Korea. The line for the Unit Labor Costs begins in 1989 with a value of 70.  It steadily increases and reaches 120 by the middle of 1996.   From there, it decreases and reaches 97 in the middle of 1999.  It moves within the range of 95 and 105 for the remaining years. The line for the Exchange Rate (Foreign/US$) begins in 1989 with a value of 85.  It moves within the range of 80 and 90 for several years until the middle of 1997.  It then spikes up and reaches 115 in the end of 1997.  From there, it falls to 98 by the middle of 2000.  It increases again to 110 in the middle of 2001.  It then begins falling and eventually ends in 2004 at 100.

Figure 3 - Foreign Non-oil Export Shares

Figure 3 consists of 6 graphs presented in a 3-by-2 matrix. The title of Figure 3 is Foreign Non-oil Export Shares. The x-axis in each of the 6 graphs consists of years running from 1980 to 2007, though the lines end at 2004.  The y-axis is labeled Percent.  The values on the y-axis range from 0 to 100 in increments of 10. Each graph consists of two lines and one dot.  The first line—which is a solid line—shows the country’s share of exports to the United States.  The second line—which is a dashed line—shows the share of finished goods in exports to the United States.  The blue dot describes the share of finished goods in total exports at the end of 2004.  For this dot and for the second line, finished goods are defined to include autos, consumer goods, and capital goods. The first graph—located on the upper left panel—is for Canada. The solid line begins at about 60 increases to about 80 by 1984.  It then decreases to 70 by 1988.  Afterwards, it slowly increases to about 88 by 1996 and remains roughly there for the remaining 8 years.  The dashed line begins at 40 and increases to about 60 by 1985.  It remains at roughly this value for the remaining years. The blue dot for 2004 has the value 49.96. The second graph—located on the upper right panel—is for Japan. The solid line begins at 25.  It increases to about 40 by 1985 and then falls to 30 by 1990.  It remains at roughly this value until 2001 when it begins to fall.  By 2004, the line is at 22.  The dashed line begins at 80.  It steadily increases.  By 1985, it has reached 90 percent.  It stays around this value for the remaining years.  The blue dot for 2004 has the value 90.46. The third graph—located on the middle left panel—is for the Asian newly industrialized economies. The solid line begins at 20.  It increases to 30 by 1985 and then begins falling.  By 1996, it is back at 20 and remains at roughly this value for the remaining years.  The dashed line begins at about 90 and remains at this value for all the years.  The blue dot for 2004 has the value 79.68. The fourth graph—located on the middle right panel—is for the United Kingdom. The solid line has a value around 15 for all the years.  The dashed line begins at 70.  It moves between 60 and 70 until 1985.  It then steadily increases, finishing at 80 by 2004.  The blue dot for 2004 has the value 59. The fifth graph—located on the lower left panel—is for the European Union. The solid line has the value around 10 for all the years.  The dash line begins at 68.  It steadily increases to 80 by the end.  The blue dot for 2004 has the value 73.5. The sixth graph—located on the lower right panel—is for Germany. The solid line has a value around 10 for all the years.  Similarly, the dashed line oscillates around 80 for all the years.  The blue dot for 2004 has the value 67.36.

Figure 4 - Rolling Regressions: Response of Export Prices to NEER

Figure 4 consists of three graphs presented in a 3-by-1 matrix. The x-axis in each of the 3 graphs consists of years running from 1989 to 2004.  The label on the x-axis is Last observation of n-year sample. The gray bands represent 95% confidence interval for ten-year sample. Each of the three graphs has two lines.  The first line is a solid line and shows the results of the rolling regressions over a ten-year sample.  The second line is a dashed line and shows the results of the rolling regressions over a five-year sample. The top graph is for Germany.  The values on the y-axis range from -0.2 to 1. Both the solid line and dashed line move very little.  The two lines move between 0 and 0.1 for all the years.  The confidence bands around the solid line are 0.05 above and below the line. The middle graph is for Japan.  The values on the y-axis range from -0.2 to 1. The solid line begins at 0.48 and moves between 0.4 and 0.58.  The confidence bands around the solid line are about 0.1 above and below the line.  The dashed line oscillates around the solid line.  With the exception of one point, the dashed line appears within the confidence bands of the solid line. The bottom graph is for the United Kingdom.  The values on the y-axis range from -0.2 to 1. The solid line begins in 1990, not 1991.  It begins with a value of 0.2 and steadily increases to 0.5 in 2002. It then suddenly drops to 0.1 in the beginning of 2003. Afterwards, it steadily increases to 0.3 by 2004.  The confidence bands are about 0.1 above and below the solid line.  This confidence bands grows; by 2004, the bands about 0.2 above and below the line. The dashed line begins at 0.25 in 1989.  It remains close to the solid line and within its confidence bands until the middle of 1997.  It suddenly drops to 0.1.  It remains between 0.1 and 0.2.  In 2003, the dashed line jumps up to 0.7.  Over the next two years, it decreases and ends in 2004 at 0.48.

Figure 5 - Rolling Regressions: Response of Export Prices to NEER (continued)

Figure 5 consists of three graphs presented in a 3-by-1 matrix. The x-axis in each of the 3 graphs consists of years running from 1989 to 2004.  The label on the x-axis is  Last observation of n-year sample. Each of the three graphs has two lines.  The first line is a solid line and shows the results of the rolling regressions over a ten-year sample.  The second line is a dashed line and shows the results of the rolling regressions over a five-year sample. The top graph is for Canada.  The values on the y-axis range from -0.3 to 0.9. The solid line begins at the value of -0.1.  It moves between -0.1 and 0.05 until the middle of 1995.  The solid line then jumps to 0.35 by the beginning of 1996.    It moves between 0.3 and 0.45 until the beginning of 2001.  It begins to drop and reaches a low of 0.1 in 2003.  It suddenly jumps up again to 0.4 and remains here through 2003 and 2004.  The confidence band is about 0.3 above and below the solid line. The dashed line begins at -0.2 and trends upwards until reaching a value of 0.7 in the beginning of 1994.  It then moves begins 0.65 and 0.85 until the beginning of 1998.  It suddenly drops to 0.3 near the end of 1998.  From here, it trends downwards to almost 0 in the beginning of 2003.  It suddenly jumps up to 0.4 and remains at roughly this value for the rest of 2003 and 2004. The middle graph is for the Asian newly industrialized economies.  The values on the y-axis range from -0.1 to 1.1. The solid line begins in the middle of 1991.  It slowly increases to 0.1 by the middle of 1997.  It jumps up to 0.5 by the beginning of 1998.  From there, it slowly trends upwards and ends at 0.7 in 2004.  In 1991, the confidence bands are about 0.1 above and below the solid line.  The bands gradually increase.  By 2004, it is 0.3 above and below the solid line. The dashed line begins at -0.05.  It moves between -0.1 and 0.2 until the beginning of 1996.  It jumps to 0.4 by the middle of 1997.  It jumps sharply to 1.1 by the beginning of 1998.  From there it gradually trends down to 0.75 in the end of 2002.  It falls sharply to 0.3 in the beginning of 2003.  It trends down to 0 by the end of 2004. The bottom graph is for the United States.  The values on the y-axis range from -0.2 to 1. The solid line begins at 0.2.  It moves between 0.15 and 0.25.  The confidence bands are about 0.15 above and below the line.   The dashed line closely hovers around the solid line and remains within the confidence bands for all the years.

Figure 6 - Rolling Regressions: Response of U.S. Import Prices to NEER

Figure 6 consists of two graphs presented in a 2-by-1 matrix. The x-axis in both graphs consists of years running from 1989 to 2004.  The label on the x-axis for both graphs is Last observation of n-year sample. The top graph deals with the rolling regressions over a ten-year sample.  This graph has two lines.  The first line—a solid line—shows the results of the rolling regression of the “Response of U.S. non-oil import prices” using a ten-year sample.  Gray bands surround this line and represent the 95% confidence interval.  The second line—a dashed line—has the results of the rolling regression of the “Counterfactual response of U.S. import prices” using a ten-year sample.  According to the footnote, this second line is based on multilateral export price responses of Asian NIEs, Canada, Germany, Japan, and the United Kingdom; weights reflect the share of each country/region in U.S. non-oil imports and are normalized to one. The solid line begins at 0.7.  It falls to 0.6 by 1991 and remains roughly there.  In 1995 it drops to about 0.5.  It then increases to 0.6 in 1996 and then falls to 0.35 by 1998.  It moves between 0.3 and 0.4 for the remaining years.  The 95% confidence bands are about 0.15 on each side of this line.  The dashed line begins in 1991 and has a value of 0.8.  It remains at roughly this value until 1996 when it begins a steady decline.   By 1998, the dashed line is at roughly 0.6.  It moves around this value for the remaining years.   The bottom graph deals with the rolling regressions over a five-year sample.  This graph has two lines.  The first line—a solid line—shows the results of the rolling regression of the “Response of U.S. non-oil import prices” using a five-year sample.  Gray bands surround this line and represent the 95% confidence interval.  The second line—a dashed line—has the results of the rolling regression of the “Counterfactual response of U.S. import prices” using a five-year sample.  According to the footnote, this second line is based on multilateral export price responses of Asian NIEs, Canada, Germany, Japan, and the United Kingdom; weights reflect the share of each country/region in U.S. non-oil imports and are normalized to one. The solid line begins at about 0.65.  It drops to 0.55 by the beginning of 1991.  It suddenly increases to 0.8 and remains there until the middle of 1992.  It then decreases to 0.2 by the beginning of 1995.  From there, it increases to 0.4 by 1996 before falling again to 0.15 in 1998.  It increases to 0.35 by the beginning of 1999.  For the remaining years, it moves between 0.2 and 0.3.  In 1989, the confidence bands are 0.15 above and below the solid line.  The size of the bands gradually increases. By 2004, the bands are 0.3 above and below the line. The dashed line begins at 0.9.  It steadily decreases to 0.4 by 1997.  From there it trends upwards.  It finishes at 0.65 at the end of 2004.

Table 1:   Foreign Export Prices and Unit Labor Costs (percent change)

Country
1995:Q2 to 2002:Q1 Export Prices (1)
1995:Q2 to 2002:Q1 Unit Labor Costs (2)
1995:Q2 to 2002:Q1 Difference (3)=(1)-(2)
2002:Q1 to 2004:Q4 Export Prices (4)
2002:Q1 to 2004:Q4 Unit Labor Costs (5)
2002:Q1 to 2004:Q4 Difference (6)=(4)-(5)
European Union: Bilateral U.S. Total
45.9
7.8
38.2
-21.4
2.1
-23.5
European Union: Bilateral U.S. Manufacturing
45.7
7.8
37.9
-22.7
2.1
-24.8
European Union: Multilateral
19.4
7.8
11.6
-4.9
2.1
-7.0
Japan: Bilateral U.S.
34.3
-6.5
40.8
-20.4
-12.9
-7.5
Japan: Multilateral
4.8
-6.5
11.3
-8.9
-12.9
4.0
Canada: Bilateral U.S. Total
17.7
3.8
13.9
-5.8
-1.1
-4.7
Canada: Bilateral U.S. Manufacturing
15.6
3.8
11.8
-14.2
-1.1
-13.1
Canada: Multilateral
2.9
3.8
-0.9
0.6
-1.1
1.7
Asian NIEs: Bilateral U.S.*
7.3
-6.6
13.9
-13.0
-2.4
-10.6
Asian NIEs: Multilateral*
-5.3
-6.6
1.3
2.3
-2.4
4.7

* Includes Hong Kong, Korea, Singapore, and Taiwan; unit labor costs are for Korea.

Source:   Bilateral import prices are from the BLS (expressed in terms of exporter's currency); multilateral export prices are from country sources; unit labor costs are from OECD.

Table 2:  Response of Foreign Multilateral Export Prices to NEER

Country
Exchange Rate: Response (1)
Exchange Rate: 95% Confidence Band (2)
Exporting Country's Prices: Response (3)
Exporting Country's Prices: 95% Confidence Band (4)
R2 (5)
Start Date (6)
End Date (7)
Homogeneity Test: T Value* (8)
European Union
0.26
(0.08, 0.44)
0.75
(0.15, 1.35)
0.31
1989:Q2
2004:Q1
0.02
European Union: of which: Germany
0.04
(0.02, 0.07)
0.83
(0.72, 0.94)
0.81
1980:Q1
2004:Q4
-2.43
European Union: of which: United Kingdom
0.31
(0.19, 0.42)
0.22
(0.09, 0.35)
0.40
1980:Q2
2004:Q4
-7.03
Japan
0.47
(0.41, 0.53)
0.35
(0.11, 0.59)
0.87
1980:Q1
2004:Q4
-1.49
Canada
0.29
(0.09, 0.49)
0.31
(-0.09, 0.72)
0.21
1980:Q1
2004:Q4
-1.62
Asian NIEs
0.24
(0.08, 0.41)
1.01
(0.68, 1.33)
0.53
1981:Q3
2004:Q4
1.45
Memo: United States
0.16
(0.08, 0.24)
0.72
(0.53, 0.92)
0.43
1980:Q1
2004:Q4
-1.12

* Bold indicates significance at 95% level.

Table 3 - Panel 1: Response of Foreign Multilateral Export Prices to U.S. Dollar

Country
Exchange Rate: Response (1)
Exchange Rate: 95% Confidence Band (2)
Exporting Country's Prices: Response (3)
Exporting Country's Prices: 95% Confidence Band (4)
R2 (5)
Start Date (6)
End Date (7)
Homogeneity Test: T Value* (8)
European Union
0.23
(0.11, 0.35)
0.68
(0.13, 1.22)
0.42
1989:Q2
2004:Q1
-0.34
European Union: of which: Germany
0.03
(0.02, 0.05)
0.81
(0.70, 0.92)
0.81
1980:Q1
2004:Q4
-3.03
European Union: of which: United Kingdom
0.22
(0.14, 0.30)
0.17
(0.04, 0.30)
0.43
1980:Q2
2004:Q4
-10.43
Japan
0.45
(0.41, 0.49)
0.33
(0.13, 0.52)
0.92
1980:Q1
2004:Q4
-2.30
Canada
0.28
(0.09, 0.48)
0.18
(-0.22, 0.58)
0.21
1980:Q1
2004:Q4
-2.37
Asian NIEs
0.40
(0.30, 0.50)
0.87
(0.63, 1.11)
0.74
1981:Q3
2004:Q4
2.24

* Bold indicates significance at 95% level.

Table 3 - Panel 2: Response of Foreign Multilateral Export Prices to U.S. Dollar

Country
Exchange Rate: Response (1)
Exchange Rate: 95% Confidence Band (2)
R2 (3)
Start Date (4)
End Date (5)
European Union
0.23
(0.11, 0.35)
0.35
1989:Q2
2004:Q1
European Union: of which: Germany
0.09
(0.06, 0.12)
0.36
1980:Q1
2004:Q4
European Union: of which: United Kingdom
0.27
(0.20, 0.34)
0.37
1980:Q2
2004:Q4
Japan
0.47
(0.43, 0.51)
0.90
1980:Q1
2004:Q4
Canada
0.30
(0.10, 0.49)
0.17
1980:Q1
2004:Q4
Asian NIEs
0.47
(0.34, 0.60)
0.53
1981:Q3
2004:Q4

Table 4 - Panel 1: Response of Export Prices in U.S. Market to U.S. Dollar**

Country
Exchange Rate: Response (1)
Exchange Rate: 95% Confidence Band (2)
Exporting Country's Prices: Response (3)
Exporting Country's Prices: 95% Confidence Band (4)
R2 (5)
Start Date (6)
End Date (7)
Homogeneity Test: T Value* (8)
European Union: Total
0.70
(0.64, 0.77)
0.32
(0.04, 0.60)
0.95
1991:Q1
2004:Q3
0.16
European Union: Manufacturing
0.70
(0.64, 0.76)
0.15
(-0.10, 0.40)
0.96
1991:Q1
2004:Q3
-1.14
Japan
0.78
(0.72, 0.83)
-0.11
(-0.63, 0.40)
0.98
1991:Q1
2004:Q3
-1.28
Canada: Total
0.73
(0.42, 1.04)
0.09
(-1.11, 1.29)
0.53
1991:Q1
2004:Q3
-0.29
Canada: Manufacturing
0.79
(0.65, 0.94)
0.33
(-0.24, 0.89)
0.85
1991:Q1
2004:Q3
0.40
Asian NIEs
0.78
(0.71, 0.86)
0.26
(0.07, 0.44)
0.95
1991:Q1
2004:Q3
0.43

* Bold indicates significance at 95% level.

** BLS bilateral import price index expressed in terms of exporting-country's currency.

Table 4 - Panel 2: Response of Foreign Multilateral Export Prices to NEER

Country
Exchange Rate: Response (1)
Exchange Rate: 95% Confidence Band (2)
Exporting Country's Prices: Response (3)
Exporting Country's Prices: 95% Confidence Band (4)
R2 (5)
Start Date (6)
End Date (7)
Homogeneity Test: T Value* (8)
European Union
0.32
(0.11, 0.53)
0.69
(0.07, 1.31)
0.35
1991:Q2
2004:Q1
0.03
Japan
0.49
(0.40, 0.59)
0.29
(-0.61, 1.18)
0.85
1991:Q2
2004:Q4
-0.48
Canada
0.46
(0.21, 0.72)
1.18
(0.05, 2.30)
0.40
1991:Q2
2004:Q4
1.07
Asian NIEs
0.54
(0.25, 0.82)
1.04
(0.59, 1.49)
0.67
1991:Q2
2004:Q4
2.68

* Bold indicates significance at 95% level.

Table 5: Tests for Structural Breaks

CountryBefore Break: Constant* (1) Before Break: Exnom* (2) Before Break: PPI* (3) After Break: Constant* (4) After Break: Exnom* (5) After Break: PPI* (6) Break Date (7) F-stat** (8)
Asian NIEs
0.0019
0.0431
0.5296
-0.0081
0.7173
1.2920
1997:Q3
16.29
Canada
0.0041
0.2395
0.0595
-0.0103
0.3504
2.6067
2001:Q2
3.98
Germany
0.0034
-0.0088
0.6721
0.0007
0.0595
0.7009
1985:Q2
4.28
Japan
0.0055
0.4688
0.1486
-0.0004
0.6309
1.3025
1998:Q1
6.70
United Kingdom
0.0121
0.2975
0.1989
-0.0009
0.2953
0.1437
1994:Q2
8.51
United States
0.0187
0.5482
0.3938
0.0022
0.1067
0.6212
1985:Q2
2.98

* Italics indicates--conditioning on a break being present--a rejection of the null hypothesis that these coefficients are equal before and after the break.

Critical values are taken from a standard normal distribution, which is valid assuming that there is a break.

** Bold indicates rejection of the null hypothesis of no break using a 95% critical value, which is taken from Stock and Watson (2003, p.471).


Footnotes

1.  Frankel, Parsley, and Wei study exchange rate pass-through to the prices of eight narrowly defined imported goods, while the other papers focus on exchange rate pass-through to broader measures of import prices. Return to text

2.  Bussiere (2004) has also done work along these lines. He studies the exchange rate sensitivity of both import and export prices for the G-7 countries and probes for evidence of non-linearities. Return to text

3.  This model is used in Gagnon and Knetter (1995) and derived more formally in Knetter (1995). Return to text

4.  An appreciation of the exporter's currency may reduce the price of imported intermediates and, thus, reduce the costs borne by the exporting firm. Gron and Swenson (2000) show that this is one reason that pass-through may be less than one. (Our empirical work below does not control for imported intermediate inputs, given the limited availability of such data.) Return to text

5.  The familiar constant markup model is derived by setting $ \beta$=1 and using the approximation ln(1+ $ \mu$)= $ \mu$, yielding p = (1+ $ \mu$)MC. When marginal cost equals average cost, then $ \mu$ is the profit margin. Return to text

6.  These derivatives are obtained when other variables and the coefficients do not respond to moves in the exchange rate. Return to text

7.  The number of countries included in the exchange rate calculation is reduced to the extent that the number of countries in a regional aggregate exceeds one. For example, the regional aggregate for the Asian NIEs includes four countries, so the exchange rate in this case is a trade-weighted average against the currencies of 32 other countries. Return to text

8.  While the PPI is probably more closely related to firms' average costs than to firms' marginal costs, no clearly superior proxy for marginal costs is available. That said, we experimented with specifications that used economy-wide unit labor costs as an alternative proxy. We found that the estimated exchange rate sensitivities of export prices were similar to those we obtain with the PPI. Return to text

9.  In equation (3), the coefficient on the exchange rate is -(1-$ \beta)$. In equation (5), however, the definition of the exchange rate has been inverted so that an increase in the index is a depreciation of the exporter's currency, and this yields the relationship between $ \delta$ and $ \beta$ indicated in the text. Return to text

10.  The Asian NIEs include Hong Kong, Korea, Singapore, and Taiwan. Return to text

11.  The multilateral export price series that we use for the United Kingdom excludes oil. Canada-the other major oil-exporting country that we study-does not publish a measure of export prices that excludes oil, so we use the price index for total exports. For Germany, multilateral export prices prior to 1991 are for West Germany only. Finally, multilateral export price data for the aggregate European Union, Germany, and the United Kingdom include intra-EU trade. Return to text

12.  The IMF Balance of Payments Manual (1993), which outlines international standards for balance of payments statistics, indicates that "exports and imports of goods [should be] recorded at market values at points of uniform valuation, that is, the customs frontiers of exporting economies." Consistent with this statement, bilateral U.S. import prices have the objective of capturing the price of the good at the port of export (BLS, 1997), and foreign multilateral export prices presumably have a similar objective. As such, these measures should be comparable conceptually. Nevertheless, across the array of countries that we study, there are inevitable differences in the methodology used to collect and compile trade price data. For example, the Canadian export price index is constructed using data from the producer price index, rather than independently sampled export prices (Statistics Canada, 2006). In addition, for most of the countries that we study, the export price data are quality-adjusted price indexes, but two notable exceptions are the aggregate data for the European Union (from Eurostat) and the data for Hong Kong, which in both cases are unit values. Return to text

13.  This proxy for profit margins is subject to some caveats. First, we use economy-wide unit labor costs because data for the export sector alone are not available. As such, this proxy will be informative only if the unit labor costs of exporting firms move broadly in tandem with aggregate unit labor costs. Second, by relying on unit labor cost data, this proxy does not directly capture moves in the costs of capital or materials. Return to text

14.  Equivalently, the results suggest that a 10 percent appreciation of these currencies against the dollar would raise the price of U.S. imports from these trading partners about 2 to 3 percent. Return to text

15.  For several of these economies, the sensitivity of multilateral export prices to the exchange rate increased markedly in the 1991 to 2004 period, relative to the longer samples reported in Table 2. We examine this issue in more detail in the following section. Return to text

16.  See, for example, Campa and Goldberg (2002, 2005), Ihrig, Marazzi, and Rothenberg (2006), and Sekine (2006). Return to text

17.  In a careful study of the determinants of import price pass-through for a panel of OECD countries, Campa and Goldberg find that pass-through is positively related to inflation, money growth, and nominal exchange rate volatility. Return to text

18.  For example, we find that over the past decade, a 10 percent depreciation of the dollar has typically raised U.S. finished-goods import prices 3 percentage points less than has been the case for other U.S. non-oil import prices. (Footnote 24 provides details regarding the regression specification used to obtain these results.) Return to text

19.  Another explanation for the higher exchange rate sensitivity of export prices charged in the U.S. market-which cannot be completely ruled out-is that there are differences in the construction of U.S. bilateral import prices and foreign multilateral export prices that tend to be manifest in differing sensitivities to the exchange rate. Return to text

20.  Notably, at the time of re-unification, exports from East Germany were only a fraction of those from West Germany. (The IMF's Direction of Trade Statistics Yearbook (1993) reports that East German exports in 1989 were just $22.2 billion, compared with West German exports that year of $341.2 billion.) Return to text

21.  The fact that the Canadian export price index is constructed using trade-weighted producer prices bears on the interpretation of these results. In particular, due to this feature of the data, evidence of increased responsiveness of Canadian export prices may result from a change in the price-setting behavior of exporters, but it may also reflect an increasing convergence in the behavior of domestic prices and export prices or a rising share of exports in domestic production. That said, NAFTA and increased integration with the United States might reasonably be thought to have contributed to any or all of these developments. Return to text

22.  For example, vertical integration could heighten the sensitivity of Canadian export prices to exchange rate moves, as a decline in the U.S. dollar would lower the cost of U.S.-made inputs for Canadian exporters (in terms of their local currency) and, thus, provide increased scope for exporters to lower their Canadian-dollar price. Return to text

23.  We regress U.S. non-oil import prices on (1) the import-weighted exchange value of the dollar against the currencies of 35 countries and (2) a similarly weighted index of foreign consumer prices. As in our other regressions, we do not include commodity prices as a separate control variable; including commodity prices would yield lower estimates of pass-through. Return to text


This version is optimized for use by screen readers. Descriptions for all mathematical expressions are provided in LaTex format. A printable pdf version is available. Return to text

Home | Economic research and data | Publications and education resources
Accessibility | Contact us
Last update: September 19, 2007