How to Explain the High Pries in Switzerland? Christoph Sax and Rolf Weder∗ May 2009 preliminary version Abstrat This paper establishes and empirially analyzes a simple model that explains hanges in the relative prie level of ountries, and thus in the real exhange rate, based on the interation between a tradable and a nontradable setor. We test the model in a panel of 22 ountries from 1970 to 2004 and nd that hanges in the terms of trade and openness, and to a minor extent in government expenditures and the urrent aount, explain the movements in the Swiss real exhange rate well over the last 35 years. Changes in regulations and relative produtivities perform poorly. This hallenges the ommon view that a lak of ompetition and a high level of regulations are the main auses of Switzerland's high pries. J.E.L. Classiation: F14, N74 Key Words: Terms of Trade, Prie Level, Non-Traded Goods, Balassa-Samuelson 1 Introdution Switzerland is one of the most expensive ountries in the world. By the end of 2007, the prie of a Big Ma was CHF 6.30 in Switzerland, while the same produt in Germany was EUR 3.10 (CHF 5.10), 23.3 % less than in Switzerland. Aording to the Big Ma Index of July 2008, a global survey of Big Ma pries by The Eonomist, Switzerland has shown the third highest prie (USD 6.36), beaten only by Norway (USD 7.88) and Sweden (USD 6.37). In the Euro Area, a Big Ma was 16 % heaper (USD 5.34) and in the US 44 % heaper (USD 3.57) than in Switzerland. Not only Big Mas are expensive; Prümmer (2002), for example, has ompared pries for dierent goods in Switzerland and Germany and found even more extreme examples: or an AEG-washing mahine (+109 %). Nivea (+86 %), Toblerone (+53 %) However, not all produts are more expensive in Switzerland. In the beginning of September 2008, Apple's heapest iMa has been sold for CHF 1499.00 in Switzerland, 7 % heaper than the same produt in Germany (EUR 999.00 or approximately CHF 1605). This last example seems to be an illustration of the law of one prie. Idential goods, the law states, should be sold at the same prie at dierent plaes, provided that transport osts are negligible and that there are no loation-spei additional osts. In the ase of an online-sold omputer, both onditions are ∗ Faulty of Business and Eonomis, University of Basel, Switzerland. Corresponding Author: Rolf Weder, Faulty of Business and Eonomis, University of Basel, Peter MerianWeg 6, CH-4002 Basel, Tel: +41 (0)61 267 33 55, Email: rolf.wederunibas.h. 1 INTRODUCTION 2 nearly fullled, so that the remaining prie dierential an mainly be explained by the dierenes in the value-added tax. For other goods, suh as Big Mas, this law of one prie does not and annot be expeted to hold. Contrary to the iMa, there are signiant loation-spei osts for the Big Ma. Labor and rent may be important parts of a Big Ma's total osts. Additionally, the very low tradeability of a warm Big Ma aross borders does not require a loal MDonald's to harge the same prie as demanded abroad and, in addition, may provide the rm with some monopoly power that an be used to harge pries above marginal osts. This, in turn, depends on the degree of loal ompetition between suppliers of lose substitutes to a hamburger. The iMa versus Big Ma lesson is a general one: the less tradable a good is, the bigger one would expet prie dierentials to be. There is an inreasing debate and omplaint regarding high pries in Switzerland sine the 1990s. This has led the State Seretariat for Foreign Aairs (Seo) 1 to publish a study on the Swiss Prie Island. First, the study olleted on- sumer pries of 50 omparable produts oered in a omparable store in Switzerland and the neighbouring ountries Germany, Italy and Frane. Pries were olleted in Otober 2005 and again in February 2008. As one third of the produts turned out to be heaper in Switzerland, the study onludes that this analysis qualies the piture of the prie island Switzerland, but does 2 not overturn it. In gure 9 and 10 in the appendix we have alulated, for a number of produts, the unweighted average prie index in the neighbouring ountries in omparison with that in Switzerland in 2005 and 2008, respetively. The analysis implies that there are onsiderable prie dierenes and also prie hanges for individual produts. Note that, in 2005, a Salami (Tipo Milano) was 40 % heaper in the neighbouring ountries whereas, on the other side of the spetrum, a CD was 40 % more expensive in these ountries. Also note that, in 2008, the prie dierenes for these extreme ases, and also in general, were less pronouned. However, for some produts they, in fat, inreased. Take a TV set for whih pries in Switzerland were around 10 % higher in 2005 and, for a newer type of TV, around 20 % lower in 2008. Seond, on a more aggregated level the study presents omparative prie level indies, i.e. relative pries of aggregates of the Gross Domesti Produt (GDP). Table 4 in the appendix reprodues the prie level of Switzerland relative to the average of the EU15 for 14 aggregates and the years 1995 and 2006. The table shows that, on this more aggregated level, pries were higher in Switzerland in all ateogries in 1995, though at dierent degrees. Pries were relatively highest in the area of housing, water, eletriity, gas and other fuels, eduation, health and onstrution, whih all inlude a onsiderable share of servies. Table 4 also shows that pries onsiderably dereased between 1995 and 2006 relative to the EU15 average. Note that the relative prie derease was strongest in the areas of eduation, housing et al., aloholi beverages, tabao and nartois as well as restaurants and hotels. 3 1 SECO (2008), the study is published in German language with the title Preisinsel Shweiz. 2 Authors' translation of SECO (2008, p. 53). 3 It is interesting to note that a reent study by Borhert (2008) omparing pries of on- sumer eletronis and household applianes for the EU27 and 3 additional ountries inluding Switzerland found that, in 2007, Swiss pries for onsumer eletronis were 10 % below the EU27 average and the third lowest among the 30 ountries, and only 4 % above the EU27 average for applianes. 1 INTRODUCTION 3 Third, on a highly aggregated level Eurostat also alulates omparative prie level indies for nal household onsumption. Figure 11 in the appendix shows that, overall, Switzerland is an expensive ountry with pries of goods and servies onsumed by households being approximately 25 % higher than in the EU27 average in 2007. 4 Even in omparison with Germany and Frane, pries were approximately 20 % higher. Figure 11 onrms that, overall, pries did fall in Switzerland relative to those in the European ountries during the last ve years. This is largely due to the appreiation of the Euro by approximately 13 % from 2002 to 2007. The report by SECO (2008) onludes that the need for eonomi poliy ation remains on a broad front, partiularly in the area of servies (p. 46). What are the proposed poliy onlusions? SECO (2008, pp. 9) alludes to (i) strenghtening the ompetition poliy, (ii) reduing non-tari barriers to trade (e.g. with the unilateral introdution of the Cassis de Dijon priniple), (iii) opening up trade in agriultural produts (e.g. based on a bilateral free trade agreement with the European Union) and (iv) liberalizing and deregulating the market for servies. This line of reasoning promotes the popular pereption that there is a lak of ompetition and an abundane of protetionisti regulations in Switzerland that are responsible for the high pries. This view has a long tradition as an be seen from quotes e.g. from the OECD (1992): Widespread horizontal and vertial ollusive arrangements may have ontributed to higher and more rigid pries than in omparable European ountries (. . . ). (p. 68) and High domesti prie levels in Switzerland may point out the sope of nonompetitive priing behavior in eonomy.(p. 82). 5 Sometimes the argumenta- tion is not free of irular logi, as in the following quote by OECD (2000, p. 76), where evidene of the lak of ompetition is drawn from the existene of high pries: Although it is inherently diult to gauge the degree of ompetition in an eonomy, international omparisons of prie levels (. . . ) arrive at pries in Switzerland that are substantially higher than most other OECD ountries. Eonomi poliy onlusions are made: open up the eonomy, deregulate, implement a tougher ompetition poliy andif all of this annot be done 6 possibly join the European Union in order to be fored to do it. If all of this is implemented, so the argument, pries in Switzerland should fall towards the European level. We (and e.g. Lutz 2005) remain septial for a number of reasons. First of all, we believe that a thorough analysis of the reasons for the relatively high pries is still laking. There is always a danger to postulate poliy remedies before the true auses of a deplorable state of aairs are known. Note that many of the above mentioned poliy proposals may well be reasonable (e.g. opening 4 In Comparison with the EU15, pries would be 20 % higher. 5 Another quote in this respet omes from SECO (2008): Zusammengefasst ist aus unserer Siht zu sagen, dass die Last der Wettbewerbsbedingungen und staatlihen Regelungen ein Teil der Erklärung dafür sind, dass die Shweiz in Bezug auf Preise eine wenig vorteilhafte Stellung einnimmt. (p. 34) or Brunetti (2003) Internationale Preisvergleihe zeigen, dass der Wettbewerb in der Shweiz in vielen Bereihen nah wie vor relativ shwah ist. Eine Verbesserung ersheint hier deshalb besonders wihtig, weil mehr Wettbewerb niht nur die Preise senkt, sondern auh Druk zu dauernden produktivitätssteigernden Innovationen aufbaut. (p. 29). 6 A study by Infras (2003, p. 21) emphasizes a loser integration of the Swiss market with the European market and an inrease in ompetition between the agents in the individual goods markets in Switzerland (Authors' translation). 2 STYLIZED FACTS 4 up markets); the open question is whether they an primarily be defended from the perspetive of reduing the prie level. Seond, the argumentation ignores, in our view, the timing of the problem. The disussion impliitly seems to assume that the high prie level of Switzerland is the result of a newer eonomi development during the last 10 to 15 years. As we will show below, there are good reasons for doubt regarding this point. Third, the extent of the relevant regulation dierential may be muh smaller than suggested by the literature ited above. Note that some European ountries may well have similar regulation levels as Switzerland. Fourth, we doubt whether being a member of the European Union with its more ative ompetion poliy would make a dierene. There are EU members suh as Norway, Denmark or Finland that show prie levels lose to that of Switzerland. Fifth, the prie dierential itself may be overestimated. Aording to this fundamental argument, some of the dierenes in pries may be due to dierenes in quality. Although some of the data we use laim to onsider suh dierenes in quality, they eventually may not aount for the full amount. In this paper, we therefore want to have a loser look at the determinants of the relatively high pries of Switzerland. We believe that a large part of the overall relative prie level of a ountry is determined by the domesti osts of using labor and land in the prodution of servies and goods that are not or only partially tradable internationally. So, we need an approah that expliitly takes into aount that not all goods are internationally tradable. Furthermore, we want to onsider hanges in the terms of trade as these already proved to be important in explaing the relatively low growth rate for Switzerland as shown by Kohli (2004). The reason is that an inrease in a ountry's export pries due to hanges in global demand and supply may have a similar eet on wages and thus the domesti prie level as an inrease in produtivity in the export setor, the latter of whih has been emphasized by Balassa (1964) and Samuelson (1964). The paper is strutured as follows. In Setion 2, we present some stylized fats that support our laim that we should move beyond the urrent popular view that the high pries in Switzerland are due to a lak of ompetition and a high level of regulation. In Setion 3, we present a small stati model suitable to apture the important ingredients to understand the Swiss ase. The model has been inuened by De Gregorio and Wolf (1994). Setion 4 empirially analyzes the main hypotheses derived from the model and disusses some additional fators that may be important in the explanation of the development of Swiss pries. Setion 5 onludes. 2 Stylized Fats When we determine relative pries or the relative prie level of ountries, we prinipally alulate a real exhange rate. In the following, we dene the real exhange rate Q as the relative prie level of a foreign ountry ompared to home's (e.g. Switzerland's) expressed in the same urreny. Formally Q= where P∗ EP ∗ , P is the prie level of the foreign ountry, ountry, and E (1) P is the prie level of the home is the nominal exhange rate (dened as the prie of the foreign 0 1 2 3 4 5 6 0.5 1.0 1.5 2.0 2.5 3.0 2 0.4 STYLIZED FACTS 5 1.8 Swiss Real Exhange Rate (PPP), 1950 - 2004 USA GER 1.6 AUT FRA 1995 1.4 0.8 ITA JPN 1.2 1985 DNK 1.0 Real Exhange Rate 1975 0.6 CHE 1950 1960 1970 Figure 1: 1980 1990 2000 Real exhange rate urreny in units of the domesti urreny). A derease in Q implies a real appreiation of the domesti urreny and thus a relative inrease of domesti pries. Figure 1 plots the Swiss real exhange rate from 1950 to 2004 towards several ountries. Thus, we go beyond the short-term view of relative prie hanges from 1996 to 2007 aptured by gure 11 and dene the real exhange rate as the inverse ratio of the omparative prie level indies in gure 11. Note that the real exhange rate dened in equation (1) an easily be omputed in pratie by dividing the market exhange rate of eah ountry (E ) through ∗ ountries' purhasing power parities equal to P/P . Figure 1 implies that in the late seventies, there is some real appreiation of the Swiss fran towards its neighbours and, between 1960 and 1980, towards the United States and Japan. Overall, the piture suggests that there is some real appreiation of the Swiss fran from 1960 to 2000, whih implies that, over the whole period, Swiss pries did inrease substantially relative to foreign pries. A seond fat to look at is the development of the nominal exhange rate depited in gure 2 for several ountries. If one ompares gure 2 with gure 1, one an make several striking observations. The nominal exhange rate volatility literally explodes after the ollapse of the xed exhange rate regime. Until 1973, nominal exhange rates towards other ountries moved only slightly due to the Breton Woods system. Sine prie level volatility is small, there is a strong orrelation between the short-term movements of the nominal and the real exhange rate after the ollapse. Therefore, note that the real appreiation mentioned above during the 1970s seems to be largely driven by the nominal appreiation, whih, in turn, is linked to the breakdown of the Bretton Woods system. There are several explanations for this sudden appreiation. 7 Aording to the safe haven 7 hypothesis, the Swiss fran was strengthened by the fat that investors wanted to park their investments in an apparently safe urreny. The diversiation portfolio- hypothesis, on the other hand, sees the Swiss fran strengthening beause investors had an additional urreny to diversify their portfolios after the fall of Bretton Woods. See Kugler and Weder (2004, 2005) and Sheller (2005). 0 1 2 3 4 5 6 1.0 2.0 2.5 3.0 2 0.4 STYLIZED FACTS 6 0.6 0.8 1.2 Index of Nominal Exhange Rate, 1950 - 2004, Base-Year: 1973 1.4 1.6 1.8 USA 1.5 index of nominal exhange rate GER AUT FRA DNK 1975 JPN 1985 1.0 1995 CHE 0.5 ITA 1950 1960 1970 Figure 2: 1980 1990 2000 Nominal Exhange Rates As mentioned in the introdution, there is onsiderable evidene that the pries of the non-tradable goods and servies are higher in Switzerland than in other ountries (e.g. apartment rents or restaurant servies). This may be largely due to a general phenomenon whih implies that relatively rih ountries tend to have relatively high pries. Explanations go bak to Balassa (1964) and Samuelson (1964) as well as to Kravis and Lipsey (1984) and Bhagwati (1984). For 36 mainly European ountries, gure 3 plots the omparative prie level indies (EU27=100) for 1997 to 2007 in relationship to the real GDP p.. index (EU27=100). Figure 3 onrms that there is strong positive relationship between these two variables. Interestingly, Switzerland is loated in the middle of the loud of dots and thus does not show any anomalies relative to the other ountries. Luxembourg, on the other hand, seems to be an outlier. 8 This strongly suggests to fous our analysis on a model that expliitly takes into aount non-tradables and allows for dierent produtivities in the exporting setor. Finally note that there is strong evidene emphasized by Kohli (2004) that the terms of trade of Switzerland improved over the last deades. Whereas Kohli uses this information to argue that growth rates based on hanges in GDP onsiderably underestimate the inrease in the standard of living in ountries like Switzerland, we take terms of trade eets into aount when exlaining hanges in prie levels and thus in real exhange rates. Figure 4 shows that Switzerland's terms of trade greatly improved sine the seventies. There is no other ountry in the OECD with a similar improvement of the terms of trade. In Setion 3, we now develop a model that allows us to apture the terms of trade and losely related eets on the relative prie level and thus the real exhange rate of a small ountry. Thereby, we partiularly fous on the relationship between tradable and non-tradable goods as this seems to be at the heart of the question we intend to analyse in this paper, given the stylized fats 8 We prefer this explanation rather than the one proposed by SECO (2008, p. 8):the example of Luxembourg shows that even with a high inome a prie level of that of neighbouring ountries is possible (authors' translation) 2 STYLIZED FACTS 7 PSfrag replaements Japan 1 140 2 3 Schweiz 4 Norwegen Island Dänemark 5 6 120 0.5 Comp. Price Level / EU27 = 100 1.0 2.5 3.0 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 1950 Irland Vereinigtes Königreich Frankreich Deutschland Belgien Niederlande Österreich Italien 100 2.0 Finnland Schweden Vereinigte Staaten Luxemburg Zypern Spanien Griechenland Portugal 80 1.5 Slowenien Malta 1960 1970 Kroatien 1975 60 PSfrag replaements 1980 Türkei Estland 1985 0 Polen Lettland Ungarn 1990 1 Litauen 1995 2 Tschechische Republik Slowakei 2000 3 Rumänien Mazedonien, ehemalige jugoslawische Republik 40 USA 4 GER 5 Bulgarien ITA 6 FRA 0.5 50 0 AUT 1.0 JPN 1.5 100 150 200 250 300 GDP per cap. / EU27 = 100 CHE 2.0 DNK 2.5 3.0 0.4 Figure 3: Comparative Prie Level and GDP (average values 1997 to 2007) (E27=100), Soure: Eurostat. 1.4 terms of trade 1.6 1.8 CHE GER 1960 ITA 1.2 JPN 1.0 USA 0.8 pries of exports / imports 1950 FRA 0.6 AUT DNK 1970 1975 1980 Figure 4: 1985 Terms of Trade 1990 1995 2000 3 8 A SIMPLE MODEL OF RELATIVE PRICE LEVEL DETERMINATION desribed above. 3 A Simple Model of Relative Prie Level Determination We use the denition of the real exhange rate, that the prie level, P, Q, from Setion 2 and assume of a ountry is equal to a (geometrially) weighted average of the prie of traded, PT , and nontraded, the weight of the traded (nontraded) goods. 9 PN , goods where 1 − s (s ) is To simplify, we assume that the weights are idential in both ountries. For the home ountry, the real exhange rate is thus equal to Q= A derease in Q EP ∗ EPT∗ 1−s PN∗ s . = P PT1−s PNs (2) implies a relative derease (inrease) in the foreign (home) prie level, i.e. a real appreiation of the home ountry's urreny. Note that a redution of Q also implies an inrease in the purhasing power of domesti goods over foreign goods. They beome more expensive and thus buy more foreign goods. We rewrite equation (2) to make use of purhasing power parity (PPP), 10 whih an only be expeted, if at all, to hold for traded goods. PT∗ /PT and olleting terms leads to: Q= EPT∗ PT PT PN∗ PN PT∗ s Fatoring out . (3) Note that the term in the rst braket is equal to one (does not hange) if absolute (relative) PPP holds. The seond braket term reveals that the real exhange rate is aeted by relative hanges in the prie of traded and non-traded goods in the home and the foreign ountry. If the relative prie of non-traded goods rises in the home ountry and if this inrease is larger than in the foreign ountry, the real exhange rate falls as expeted. Thus, equation (3) reveals that the real exhange rate is aeted by a relative prie hange of traded and non-traded goods in the long term and may hange in the short-term when the nominal exhange rate deviates from PPP. The question then arises what fores may aet relative pries of traded and non-traded goods. It is well known from studies by Balassa (1964) and Samuelson (1964) that absolute dierenes between ountries in the produtivity of the traded goods setor may be responsible for dierenes in the relative prie of traded and nontraded goods. The analyses by Kravis and Lipsey (1984) and Bhagwati (1984) point in a similar diretion using the fat that ountries with large per-apita inome tend to be relatively well endowed with apital. If fator-prie equalization does not hold, these ountries tend to experiene relatively high real wages, whih, in turn, inrease the relative prie of non-traded goods. By simplifying and extending De Gregorio and Wolf (1994), we develop a stati model 9 Note that non-traded goods inlude a wide variety of goods and servies typially produed in an eonomy. These inlude items suh as onstrution, repair, health servies, eduation, restaurants and publi servies. A rough estimate based on the national prodution aount implies that non-traded goods and servies reet a substantial share of total output. In ase of Switzerland, the share is likely to be in the order of 50% of GDP. Note that Krugman and Obstfeld (2006, p. 384) mention a number of 56% for the US referring to the share of servies and onstrution in gross national produt. 10 See also Chinn (2000, p. 21) 3 A SIMPLE MODEL OF RELATIVE PRICE LEVEL DETERMINATION 9 that shows the interation between relative pries and (i) setoral produtivity, (ii) the terms of trade, (iii) government spending and (iv) urrent aount imbalanes, whih will allow us to link the results losely to equation 3. It is important to note that in order to study how hanges in the terms of trade aet relative pries and thus the real exhange rate, it is neessary to distinguish between exports and imports and their orresponding pries. An extreme way of apturing the eets of a hange of the terms of trade is to assume that ountries produe the export good for the world market only (there is no domesti onsumption of this good) and that they do not produe the import good whih is only onsumed domestially. 11 The quantity of exports (YX ) will thus be traded for the quantity of imports (YM ). We x the prie of imports to unity (PM = 1), so that all other pries are reeted in units of imports. The terms of trade are thus equal to PX . In Subsetion 3.1 we establish the model that explains hanges in the relative prie of non-traded goods. Subsetion 3.2 derives and disusses the omparative statis results. Subsetion 3.3 relates the results to equation (3). 3.1 The Model Suppose there is a small eonomy that produes quantities of two homogeneous goods, exports (YX ) of good a non-traded good X and domestially onsumed quantities (YN ) of N. Exports are assumed to be produed with apital and 1−α α labor and desribed by a Cobb-Douglas funtion, YX = AX LX KX , where 0 < α ≤ 1 and AX aptures the level of tehnology. Assuming that the apital stok is spei to this industry and xed, the prodution funtion of exports simplies to 1−α YX = ϕX Lα X , where ϕX ≡ AX K̄X . Note that ϕX (4) is a produtivity parameter determined by the level of tehnol- ogy and the amount of available apital in the export industry. Dierentiating the prodution funtion with respet to prie of exports PX LX and multiplying the result by the (denoted in units of imports) leads to a diminishing value of the marginal produt of labor (VMPLX ) that, in equilibrium, has to be equal to the wage rate in the export setor wX = wX . Thus, αϕX PX . L1−α X (5) The prodution of non-tradables only requires labor as an input and is assumed to be linear in the quantity of labor used (LN ). YN = ϕN LN . 12 Thus, (6) The value of the marginal produt of labor in the N-setor (VMPLN ) is nondiminishing and equals the average produtivity, ϕN , multiplied by the prie of non-tradables (again in terms of units of imports). In equilibrium, it is equal to the wage rate: 11 This assumed struture of the model seems to be defendable based on the observation that ountries typially export a small number of goods that are only to small extent onsumed domestially and import a large number of goods that may hardly be produed domestially. 12 Assuming a diminishing marginal produt also in this setor would make the model more omplex to solve, but not hange the main results. 1 2 3 4 5 6 0.5 1.0 1.5 2.0 2.5 3.0 0.4 3 0.6 A SIMPLE MODEL OF RELATIVE PRICE LEVEL DETERMINATION 10 0.8 1.0 1.2 1.4 1.6 1.8 1950 1960 wX 1970 wN 1975 1980 1985 1990 VMPLX 1995 2000 USA GER VMPLN ITA ϕN PN FRA AUT JPN CHE ϕX 1−α X DNK L LX PX LN Figure 5: Equilibrium in the labor market wN = ϕN PN . (7) An equilibrium in the labor market requires that wN = wX . Setting equa- tions 5 and 7 equal, we get: LX ϕX PX = α ϕN PN The employment in the export setor 1 1−α LX . (8) is, therefore, determined by the relative prie of exports and non-tradables and the exogenous variables desribing the tehnologies. Sine we assume an inelasti labor supply (LX + LN = L̄), equation (8) determines employment and prodution in both setors for a given relative prie of the goods produed. Figure 5 desribes the labor market equilibrium for a given relative prie of exports and set of parameters. A tehnologial progress in the export setor and/or an inrease in the prie for exports raises the value of the marginal produt of labor in this setor and shifts VMPLX to the right. As wages beome higher in the export setor, labor is attrated. This raises onstant VMPLN LX and redues the VMPLX . Note that due to the the wage rate remains unaeted unless the prie of the non- tradable good also hanges. Employment in the non-tradables setor beomes LX VMPLX . residual in this model as is fully determined by the equilibrium wage rate and the diminishing If the labor endowment aordingly while LX (L̄) rises, LN inreases remains unaeted, eteris paribus. To understand how the relative prie of exports and non-tradables is determined and how hanges in the parameters of the model aet the equilibrium, we need to introdue the onsumption side of the eonomy. 3 11 A SIMPLE MODEL OF RELATIVE PRICE LEVEL DETERMINATION Consumers are assumed to spend their inome (I ) on quantities of the nontradable good (CN ) and the import good (CM ) to maximize the following Leontief-utility funtion: U = min(CN , CM ). (9) We hoose this speial ase of a CES-utility funtion beause it onsiderably simplies the algebra without reduing the insights. This assumption implies that we do not have to worry about substitution eets as the two goods are always onsumed in equal quantities (CN = CM ). Changes in relative pries aet onsumption of the two goods only through an inome eet. We also introdue the government who ollets taxes T from the onsumers (i.e. a lump sum tax) denoted in terms of imports. We assume that the government exlusively uses the tax revenue to purhase the non-tradable good of the quantity GN . This is an extreme assumption to apture the empirial evi- dene that relative to private spending, government spending tends to fall more heavily on non-traded goods (Rogo 1996, p. 663). Similarly, a urrent aount imbalane CA in terms of the imported good an be introdued by noting that a CA < 0, implies a net apital inow whih inreases urrent aount deit, i.e. the inome to be spent on non-tradables and imports. As argued by Krugman (1990) this transfer of wealth is likely to aet relative pries due to dierent onsumption patterns. Aggregate demand for non-tradables DN an now be determined; it is om- posed of the demand by households and the government. Given that the quantity of imports CM and non-tradables CN onsumed by households is equal, CN is simply determined by the eonomy's apability to produe imports through exports, i.e. PX YX . Government demand for non-tradables is equal to GN . The sum of these two omponents is nally redued by a possible urrent aount surplus CA or, in other words, a net apital outow that redues domesti demand for non-tradables. Thus, DN = PX YX + GN − CA. (10) Note that aggregate demand an expliitly be derived by utility maximization of the onsumers subjet to their budget onstraint (I = PX YX + PN YN − T − CA) and the onstraints that government expenditures are equal to taxes (GN PN = T ) and onsumption of imports is equal to exports minus the urrent 13 aount surplus (CM = PX YX − CA). An inrease in the government budget, the urrent aount deit (i.e. in the apital imports) or the value of prodution of exports raises aggregate demand for non-tradables. Note that we an replae YX by the prodution funtion of α exports, i.e. YX = ϕX LX . Aggregate demand an then be rewritten as: DN = PX ϕX Lα X + GN − CA. (12) Supply of N depends on the residual amount of labor to be used in the nontradable setor. Using the prodution funtion and the labor market onstraint, supply is therefore equal to 13 The aggregate demand funtion for non-tradables is equal to DN = YX PX + YN PN − T − CA + GN . PN + 1 (11) 3 12 A SIMPLE MODEL OF RELATIVE PRICE LEVEL DETERMINATION YN = ϕN L̄ − ϕN LX . (13) Note that the general equilibrium requires that, rst, the labor market is in equilibrium, i.e. VMPLX = VMPLN , and that, seond, the goods market DN = YN . We now disuss this equilibrium and the is in equilibrium, i.e. omparative statis of it. Thereby, the main interest is in how the prie of non-tradables is aeted by hanges in the eonomi environment. 3.2 Comparative Statis Figure 6 desribes the general equilibrium, whih ombines the labor market equilibrium (gure 5) with the goods market equilibrium desribed above. Let us start with the lower part of gure 6, whih illustrates demand (DN ) for and supply (YN ) of non-tradables, dependent on the amount of labor that is used in the export industry (LX ). Supply is linear and dereasing in for N is an inreasing funtion of diminishing MPLX ; LX , LX . Demand albeit at a diminishing rate, due to the It reets the implied demand urve for N due to inreased availability of imports through the prodution of exports. Equilibrium is assoiated with a ertain alloation of LN and LX to exports and non-tradables, respetively. The upper part of gure Y repliates the labor market equilibrium desribed in gure 5). Note that the prie of exports is exogenous, whereas PN is endogenously determined through demand and supply in the tradables setor. We now turn to the omparative statis of the model. Suppose that we are in a general equilibrium. We disuss the eets of (i) a hange in produtivity in the export industry, (ii) a hange in the terms of trade, (iii) a hange in government spending and (iv) a hange in the urrent aount balane. Produtivity in Export Setor Produtivity hanges work along the lines proposed by Balassa (1964) and Samuelson (1964). An improvement of the produtivity in the export setor leads to a downward shift of the demand urve and a shift to the right of the lines). VMPLX in gure 6 (dotted At the original alloation of labor to exports and non-tradables there is an exess demand for non-tradables due to the higher inome and thus availability of imports. This leads to an inrease in the prie of nontradables and thus raises LN and thus the supply of non-tradables along the supply urve in the lower part of gure 6). The new equilibrium is haraterized by a larger demand for and supply of non-tradables as shown by point A, a lower (larger) alloation of labor in the X setor (N setor) ′ and a higher prie of non-tradables (PN ) as shown by point B. Note that the non-tradables setor expands and the export setor shrinks due to the tehnologial progress in the export setor. Nominal wages inrease proportionally to PN . Most importantly for our analysis, the inrease in produtivity in the export setor is assoiated with higher wages and a higher relative prie for non-tradables, the so-alled Balassa-Samuelson eet. Terms of Trade An inrease in the terms of trade is aptured by an inrease in the relative prie of exports, i.e. an inrease in PX . This, again, shifts PSfrag replaements 0 1 2 3 4 5 3 A SIMPLE MODEL OF RELATIVE PRICE LEVEL DETERMINATION 6 0.5 1.0 1.5 2.0 2.5 3.0 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 1950 1960 1970 wX wN 1975 1980 VMPL′X 1985 B 1990 ′ ϕN P N 1995 2000 USA VMPLX GER C ITA ϕN P N FRA AUT JPN CHE DNK 0 LN LX S A ϕN L̄ D D′ DN , YN Figure 6: Equilibrium in the labor market and in the market for non-tradables 13 3 A SIMPLE MODEL OF RELATIVE PRICE LEVEL DETERMINATION demand downwards and the VMPLX 14 to the right. The new equilibrium is again haraterized by a higher prie for non-tradables, PN , and may be equal to the equilibrium desribed above (points A and B) depending on the size of the terms of trade improvement. Thus, an improvement of the terms of trade works similarly to the Balassa-Samuelson eet and an, in our model, be interpreted as a kind of tehnologial progress in the export setor as it allows to inrease imports per unit of labor used in exports. The inrease in imports raises demand for the non-tradable good and thus the prie of it. Government Expenditures An inrease in government spending inreases demand for non-tradables and thus shifts demand downward in gure 6). The VMPLX remains unaeted. The inrease in the government budget raises demand for non-tradables as the government buys relatively more of the non-tradable good than the households (in our model it only buys N). If this inrease in demand shifts the demand urve down to D', the new equilibrium in the labor market is aptured by point C. Note that the prie of non-tradables inreases though to a smaller extent than before. This is due to the fat that there is no inrease in the ompensated by a further inrease in VMPLX to be PN . Current Aount An inrease in the urrent aount deit allows the do- mesti ountry to spend more than what it earns (from the prodution of non-tradables and exports) on non-tradables and imports. An inrease in the urrent aount deit shifts the demand urve for non-tradables downwards. As more is obtained in terms of imports for a given quantity of exports, the eonomy wishes to onsume more non-tradables; this leads to an exess demand at the given prie of non-tradables. PN thus rises and with it the wage rate. This inreases the quantity of non-tradables produed. In the new equilibrium, the relative prie of nontradables, PN , wages as well as the output of non-tradables all have inreased, whereas the output of exports is lower than before. If the inrease in the urrent aount deit (or a redution in the surplus) shifts demand to D', the 14 new labor-market equilibrium would be in point C. 3.3 Relating the Results with the Real Exhange Rate The analysis in subsetion 3.2 showed that, in our model, the (relative) prie of nontradables PN rises with (i) an inrease in the produtivity in the export setor (ϕX ), (ii) an improvement of the terms of trade (PX ), (iii) an inrease in the government expenditures (GN ) and (iv) a derease in the urrent aount surplus (CA). This an be summarized by the following equation: PN = f ϕX , PX , GN , CA . + + + − (14) These results an be linked to equation (3). If we assume that PPP applies for traded goods (in the long term), the rst braket term in equation (3) is 14 It an be shown that, with perfet international mobility of apital, it is only hanges in produtivity and hanges in the terms of trade that aet the relative prie of non-tradables. 4 15 EMPIRICAL ANALYSIS equal to one. Taking into aount that the prie of tradables is equal to PX in our model as X is the only good produed, we an onlude that the model's preditions are as follows: the real exhange rate falls and thus relative pries in the home ountry rise if, eteris paribus, (i) the relative produtivity in the export setor rises more in the home ountry than abroad, (ii) the terms of trade rise (overall) more in the home ountry than abroad, (iii) there is a relative inrease of government expenditures in the home ountry or (iv) the urrent aount deit inreases more in the home than in the foreign ountry (or a surplus inreases less at home). As all these hanges aet the real exhange rate through a hange in the relative prie of non-traded goods, we assume that they are all weighted with the share of nontradables in the aggregate prie index. All of this, inluding the fat that the nominal exhange rate may not follow PPP in the short run, will have to be taken into aount in the empirial analyses. Thus, ϕX PX GN CA Q= ∗ , ∗, ∗ , . ϕX PX GN CA∗ − 4 − − (15) + Empirial Analysis In this setion we try empirially to asses our model, using panel data from 1970 to 2004 for 22 OECD ountries. We rst desribe the methodology in setion 4.1 and the data in setion 4.2. The results are given in setion 4.3. Setion 4.4 reexamines the ase of Switzerland based on these results. 4.1 Methodology We estimate a redued form of our model, linking the explanatory variables diretly to the real exhange rate. We start with the following baseline model: ∆ log(Qit ) = β1 ∆ ∆ log(Qit ) Git CAit + β2 ∆ + β3 ∆ log(Px it ) + αt + eit . Yit Yit denotes hanges in the eetive real exhange rate. (16) Our baseline model inludes the explanatory variables from the model, with the exeption of the produtivity dierentials: government share; ∆(CAit /Yit ) ∆(Git /Yit ) is the perent-point hange in the is the perent-point hange in the urrent a- ount (whih is, as before, dened as a surplus; a deit has a negative sign); ∆ log(Px it ) denotes the perent hange in the ratio of export and import pries; αt , in order to ontrol for time xed we also inlude a time spei onstant eets. Beside ontrolling for unobservable eets that aet all ountries at the same time (suh as an oil prie shok), suh a term also neutralizes the eet of the referene ountry. Finally, eit denotes the error term. As there is high auto-orrelation in the time series, we estimate our baseline speiation in rst dierenes by using ordinary least squares. We observe hanges over a yle of 3 years, thereby fousing on a medium-run relationship, while still preserving a large number of observations. As a robustness hek, we also inlude ountry dummies, in order to ontrol for time-invariant unobserved eets. Additionally, we inlude hanges in the 4 nominal exhange rate ∆ log(Eit ), EMPIRICAL ANALYSIS 16 thereby addressing the problem that PPP may not hold in the mid-term and that both ∆ log(Q)it and ∆ log(Px ) may be aeted by a nominal shok. Finally, we inlude data on produtivity dierentials ∆ log(ϕXit /ϕN it ), to test for the last explanatory variable of our model. Unfortunately, data on setor spei labor produtivity is poor, and the sample is onsiderable redued by this extension. Therefore, as an alternative measure, we use GDP per apita growth ∆ log(y) as a proxy for hanges in the produ- tivity dierentials. We also try to assess alternative explanatory variables that are not part of our model. The rst addition is population growth ∆ log(POPit ). Theoretially, its eet is ambigous: population growth diretly inreases density and may inrease the prie of land and rents, thereby dereasing Q. Also, it may lead to a younger demographi struture, thereby shifting demand towards non-tradables, and dereasing Q as well (Rose, Supaat, and Braude 2008). However, in a strit appliation of our model (the assumption of a onstant apital stok is ruial), population growth would inrease the labor fore, lowering wages in both setors and thereby inreasing Q. We use two variables as proxies for openness and ompetition. The variable ∆opencit measures perent-point hanges of the ratio of the sum of imports and exports of goods and servies to GDP. In a seond speiation, we use hanges in an index of ompetition regulation ∆compit , impat of regulation on real exhange rates. in order to diretly asses the Again, the seond variable will redue the sample size onsiderably. As an additional test of robustness, we vary the length of our estimations. In addition to the three-year averages of the baseline model, we estimate a model using one-, four- and ve-year averages. 4.2 Data Our estimations over the years from 1970 to 2004 and the 22 major OECD ountries. Ieland and Luxembourg have been exluded, as well as the East European ountries and Turkey and Mexio. A full list of the ountries is in the appendix. The OECD provides data on the eetive exhange rate in its Eonomi Outlook. The same data soure also provides terms of trade data, alulated as the ratio of export pries and import pries. From the OECD's National Aounts we take data on setoral prodution and employment. We dene the tradable setor as industry only, while the non-tradable onsists of all other ativities, inluding nanial servies (dening the latter as tradable has no major impat). The data range of this data is limited, however, and leads to a redued sample size. The Penn World Tables provides series on population and GDP-per-apita (Laspeyres), urrent aount, government share of GDP, and openness (the sum of imports and exports divided by GDP). Competition data has been taken from Nioletti and Sarpetta (2001) who alulate a produt market regulatory index for 21 OECD ountries. The index is based on seven industry sub-indies that reet a rating of the following dimensions: barriers to entry, publi ownership, market struture, vertial integration and prie ontrols. The detailed soures are reported in the appendix. 4 Table 1: VARIABLES ∆(Git /Yit ) ∆(CAit /Yit ) ∆ log(Px it ) EMPIRICAL ANALYSIS 17 Baseline model (1) (2) (3) (4) (5) ∆ log(Qit ) ∆ log(Qit ) ∆ log(Qit ) ∆ log(Qit ) ∆ log(Qit ) -2.168*** -2.118*** -2.446*** -3.233*** -2.064** (0.705) (0.571) (0.406) (1.144) (0.826) 0.839*** 0.898*** 0.402* 0.830* 0.858*** (0.222) (0.200) (0.199) (0.439) (0.235) -0.741*** -0.778*** -0.514*** -0.723*** -0.739*** (0.113) (0.124) (0.0661) (0.146) (0.115) ∆ log(Eit ) 0.466*** (0.0652) ∆ log(ϕXit /ϕNit ) 0.158 (0.136) ∆ log(yx ) 0.0371 (0.156) Observations R2 213 213 213 79 213 0.583 0.621 0.771 0.662 0.583 20 20 Number of id Robust standard errors in parentheses *** p<0.01, ** p<0.05, * p<0.1 4.3 Results Our baseline estimation is reported in the rst olumn of Table 1. All oeients are signiant at the highest level and have the expeted sign: an inrease in the GDP-share of government expenditure by one perent-point is assoiated by a real appreiation of 2.168 %, an inrease in the urrent aount surplus (a derease in the urrent aount deit) by one perent-point leads to a real depreiation of 0.839 %. Finally, an inrease in the terms of trade by one perent is assoiated by a real appreiation of 0.741 %. The inlusion of ountry xed eets in olumn 2 does not aet the results. The inlusion of the nominal exhange rate (olumn 3) redues the oeient on the terms of trade and the urrent aount, but leaves both eets signiant (the latter only at the 10 % level). We an not nd any empirial support for a produtivity eet: olumn 4 inludes hanges in produtivity dierentials as measured by the ratio of the labor produtivity in the tradable and non-tradable setor, olumn 5 the GDP-per-apita growth. Both eets have the wrong sign, but are not signiantly dierent from zero. The diulty to nd a produtivity eet is shared by others (e.g. Chinn and Johnston (1996), De Broek and Sløk (2006) or Kohli and Natal (2008) and Grioli, Meyer, Natal, and Zanetti (2008), for Switzerland). It ontrasts to the positive ndings of Hsieh (1982) or De Gregorio and Wolf (1994). Table 2 reports the results of alternative speiations, inluding variables that are not part of our model. Openness has a signiant and robust eet on Q: an inrease in of 0.692. openc by one perent point is assoiated by a real depreiation An inrease in population, on the other hand, has no signiant eet on the real exhange rate (olumn 2 and 3). The same is true for the regulatory index, whih is inluded in speiation 4. However, as the number of observations is small and the number of oeients is large, an insigniant 4 Table 2: EMPIRICAL ANALYSIS Extensions to the baseline model (1) (2) (3) (4) ∆ log(Qit ) ∆ log(Qit ) ∆ log(Qit ) ∆ log(Qit ) -1.441** -2.164*** -1.408** 1.714** (0.627) (0.698) (0.613) (0.747) 0.595*** 0.840*** 0.603*** 1.177** (0.209) (0.226) (0.210) (0.489) ∆ log(Px it ) -0.606*** -0.740*** -0.601*** -0.822*** (0.108) (0.113) (0.108) (0.211) ∆opencit 0.692*** VARIABLES ∆(Git /Yit ) ∆(CAit /Yit ) 18 0.699*** (0.114) ∆ log(POPit ) (0.118) 0.0526 0.314 (0.443) (0.390) ∆compit 0.0305 (0.0365) Observations R2 213 213 213 73 0.677 0.583 0.678 0.590 Robust standard errors in parentheses *** p<0.01, ** p<0.05, * p<0.1 result should not ome as a surprise. In order to further examine the robustness of these results, we repeat the estimations with dierent average-lengths. Table 3 shows the baseline speiation inluding the nominal exhange rate for one-, three-, four- and ve-year averages. The government share, the urrent aount and the terms of trade eet are similar for all lengths (the urrent aount eet is not signiant in the ve year estimation, probably due to a lak of observations.). However, if we estimate the model using one year dierenes (as e.g. De Gregorio and Wolf (1994), the oeients are smaller. On the other hand, the eet of the nominal exhange rate dereases over time, whih is onsistent with the idea of long run monetary neutrality. 4.4 Switzerland, again With the estimations at hand, we now reonsider the ase of Switzerland's real appreiation. Figure 7 plots the atual values of hanges in Switzerland's real eetive exhange rate and the predited values from estimation 1 of table 2, whih inludes hanges in openness as an explanatory variable. The atual values are adjusted by their orresponding time xed eets, so that the depited value an be interpreted as the deviations from the OECD average at any point in time. Overall, hanges in the government share, the urrent aount, the terms of trade and openness seem to explain the major hanges in Switzerland's real exhange rate relative to the OECD average pretty well. The strong real appreiation in the early seventies is underestimated by our model, and the model fails to explain the short depreiation around 1990. However, it explains the main movements of the real exhange rate over time and espeially the strong depreiation in the late nineties. 4 Table 3: VARIABLES EMPIRICAL ANALYSIS Dierent time periods (1) (2) (3) (4) ∆ log(Qit ) ∆ log(Qit ) ∆ log(Qit ) ∆ log(Qit ) 1-year 3-year 4-year 5-year ∆(Git /Yit ) -1.709*** -2.442*** -2.098*** -2.582*** (0.316) (0.597) (0.675) (0.740) ∆(CAit /Yit ) 0.298*** 0.504** 0.592*** 0.434 (0.0995) (0.208) (0.213) (0.294) -0.364*** -0.550*** -0.656*** -0.484*** (0.0495) (0.0868) (0.101) (0.145) 0.486*** 0.363*** 0.317*** 0.255*** (0.0268) (0.0450) (0.0586) (0.0515) ∆ log(Px it ) ∆ log(Eit ) Observations R2 659 213 154 115 0.718 0.718 0.731 0.724 Robust standard errors in parentheses *** p<0.01, ** p<0.05, * p<0.1 PSfrag replaements 0.10 0 1 2 1.5 2.0 2.5 3.0 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 1950 1960 1970 0.05 1.0 predicted 0.00 6 0.5 −0.05 5 −0.10 4 changes in eff. rer minus time fixed eff. / predicted values 3 actual USA GER ITA FRA 1975 AUT 1980 1985 1990 1995 2000 JPN CHE DNK Figure 7: Atual and predited hanges in Switzerland's real eetive exhange rate 19 4 EMPIRICAL ANALYSIS 20 PSfrag replaements 0.10 0 1 2 1.0 1.5 2.0 2.5 3.0 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 1950 1960 1970 openc 0.00 6 0.5 −0.05 5 tot −0.10 ch. in eff. rer − time f.e. / contributions of tot and openc 4 0.05 3 actual USA GER ITA FRA 1975 1980 1985 1990 1995 2000 AUT JPN CHE DNK Figure 8: Terms of trade and openness as explanatory variables We an further deompose the predited values into the ontribution of the individual explanatory variables. Figure 8 depits the ontributions of the terms of trade and of openness, both heavily ontributing to the utuations of the real exhange rate. While the terms of trade improved remarkably during the seventies and between 1985 and 1995, the real exhange rate appreiated during the same periods. Also, in the early eighties and late nineties, a relative inrease in openness led to a depreiation of the real exhange rate. Therefore, by using only openness and the terms of trade, we have a pretty good explanation for the major movements in Switzerland's real exhange rate over the last 35 years. On the other hand, hanges in the governmental share and the urrent aount are relatively unimportant, as it is revealed by gure 12 in the appendix. While these variables are generally important determinants of the real exhange rate, their deviations from the OECD average is small. Also, the remaining variables from our estimations, population growth, export setor produtivity growth and regulatory hanges, would hardly add value to the explanation of the hanges in the real exhange rate. Not only are the oeients of these variables insigniant, the hanges in these potential explanatory variables relative 5 CONCLUSION 21 to the OECD average are also minor. 5 Conlusion This paper establishes and empirially analyzes a simple model that explains hanges in the relative prie level of ountries, and thus in the real exhange rate, based on the interation between a tradable and a non-tradable setor. In our model, we derive the following often used preditions: urrenies are expeted to undergo a real appreiation, if there is (1) an improvement of the terms of trade, (2) an inrease in government spending, (3) a redution of urrent aount surplus (or an inrease in the deit) or (4) an inrease in the relative produtivity of the tradable to the non-tradable setor. The relevane of the rst three fators is strongly supported by our empirial analysis with data based on 22 ountries over a period from 1970 to 2004. No support ould, however, be found regarding the predited relationship between relative produtivity of the two setors and the real exhange rate. The em- pirial analysis also shows that an inrease in the degree of openness regarding international trade in goods and servies aets the real exhange rate in the expeted positive diretion, whereas hanges in the degree of ompetition measured by a regulatory index do not seem to have any explanatory power. With respet to the Swiss ase, hanges in the terms of trade, openness, the government expenditures and the urrent aount seem to explain the major hanges in Switzerland's real exhange rate pretty well. This result, ombined with the stylized fats shown in this paper, is helpful in assessing the disussion about the Swiss prie island. It is often assumed that high pries in Switzerland are mainly due to a lak of ompetition partiularly in the non-tradable setor or ineient regulations. In addition, high pries in Switzerland are believed to be a reent phenomenaone that arose ten to fteen years ago. Our analysis questions these beliefs. First, the relative inrease of pries in Switzerland seems to be a phenomenon that goes bak to the 1970s and is, in partiular, onneted to the introdution of exible exhange rates in the beginning of this deade. Seond, the long-term improvement of the terms of trade, whih should not be deplored as suh, seems to be an important fore behind the real appreiation. Terms of trade movements, however, are at least par- tially subjet to world demand and supply movements and behind the reah of a ountry's poliy. Third, there is little evidene of a stong impat of regulations on the real exhange rate. Neither are we able to nd a relationship between regulations and the real exhange rate, nor is the evolution of Switzerland's regulatory environment exeptional. We onsider our paper as a starting point for a more thorough analysis of the reasons for dierenes and hanges in the prie level of Switzerland and other ountries. Our empirial analysis explores a redued-form relationship between the real exhange rate and its determinants. In order to further assess our model, future work needs to address the relationship between the determinants and the intermediate variables, suh a employment and wages, more diretly. Future work also would inlude theoretial models that allow for international trade in intermediates or "`middle produts"' (Sanyal and Jones 1982). Finally, the empirial analyses would have to inlude ner measures of the degree of 5 CONCLUSION ompetition and regulation as well as the use of disaggregated data. 22 PSfrag replaements B 0 DATA SOURCES 23 1 2 3 4 5 6 0.5 1.0 1.5 2.0 2.5 3.0 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 1950 1960 1970 1975 1980 1985 1990 1995 2000 USA GER ITA FRA AUT JPN CHE DNK Figure 9: Relative Consumer Pries for Seleted Produts (2005). Switzerland Relative to an Unweighted Average in Italy, Germany and Frane (Switzerland (CH) = 100). Calulation based on a Case Study by SECO (2008), Preisinsel Shweiz, pp. 87. A Additional Graphs and Tables B Data Soures B.1 Country List for Regression Analysis Australia, Austria, Belgium, Canada, Denmark, Finland, Frane, Germany, Greee, Ireland, Italy, Japan, Korea, Netherlands, New Zealand, Norway, Portugal, Spain, Sweden, Switzerland, United Kingdom, United States. B.2 OECD Eonomi Outlook OECD Eonomi Outlook: Annual and quarterly data Vol 2008 release 02. http://soureoed.org B.3 OECD National Aounts OECD Annual National AountsMain aggregates Vol 2008 release 01; OECD Annual National AountsPopulation and Employment Vol 2008 release 01. http://soureoed.org B DATA SOURCES 24 PSfrag replaements 0 1 2 3 4 5 6 0.5 1.0 1.5 2.0 2.5 3.0 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 1950 1960 1970 1975 1980 1985 1990 1995 2000 USA PSfrag replaements GER 0 ITA 1 FRA 2 AUT 3 JPN 4 CHE 5 DNK 6 0.5 1.0 1.5 Figure 10: Relative Consumer Pries for Seleted Produts (2008). Switzerland Relative to an Unweighted Average in Italy, Germany and Frane (Switzerland (CH) = 100). Calulation 2.0 based on a Case Study by SECO (2008), Preisinsel Shweiz, pp. 87. 2.5 3.0 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 1950 1960 1970 1975 1980 1985 1990 1995 2000 USA GER ITA FRA AUT JPN CHE DNK Figure 11: Eurostat. Comparative Aggregate Prie Level Indies (1996 to 2007) (E27=100), Soure: B 25 DATA SOURCES PSfrag replaements 0.10 0 1 2 3 1.5 2.0 2.5 3.0 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 1950 1960 1970 0.05 ca 0.00 1.0 gov −0.05 6 0.5 −0.10 5 ch. in eff. rer − time f.e. / contributions of gov and ca 4 actual USA GER ITA FRA 1975 1980 1985 1990 1995 2000 AUT JPN CHE DNK Figure 12: Table 4: Governement share of GDP and urrent aount as explanatory variables Comparative Prie Level Indies (for the ESA95 Aggregates), EU15=100 Year 1995 2006 Food and non-aloholi beverages Aloholi beverages, tobao and narotis Clothing and footwear Housing, water, eletriity, gas and other fuels Household furnishings, equipment and maintenane Health Transport Communiation Rereation and ulture Eduation Restaurants and hotels Misellaneous goods and servies Mahinery and equipment Constrution 146.3 115.4 112.2 187.3 122.2 153.8 119.5 127.7 134.7 181.1 143.6 147.5 114.3 151.6 133.6 88.1 115.2 154.2 112.9 133.3 105.9 116.7 116.5 139.6 116.6 127.7 101.9 136.4 Soure: Eurostat ∆ 06-95 -12.7 -27.3 +3.0 -33.1 -9.3 -20.5 -13.6 -11.0 -18.2 -41.5 -27.0 -19.8 -12.4 -15.2 B B.4 DATA SOURCES 26 Penn World Tables Version 6.2, Alan Heston, Robert Summers and Bettina Aten, Penn World Table Version 6.2, Center for International Comparisons of Prodution, Inome and Pries at the University of Pennsylvania, September 2006. http://pwt.eon.upenn.edu/php_site/pwt_index.php 27 REFERENCES Referenes Balassa, B. 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