Zhangyan Fu, Johns Hopkins University

Introduction

Consumption-Real Exchange Rate Anomaly is one of the well known puzzles in international finance. Most international business cycle models predict that, under the assumption of perfect financial markets along with supply disturbances, consumption should be higher in the country where its price, converted into a common currency, is lower. But empirical studies show that the consumption differentials across countries do not correspond in any systematic pattern with its relative price (i.e. the real exchange rate)[1]. Furthermore, consumption in countries with lower real exchange rate does not go up. Quite often than not it goes down[2]. With regard to the current situation in China, on the one hand, there is the criticism from western countries that RMB[3] exchange rate is undervalued[4] ; on the other, the final consumption rate has been very low with a continued downward trend. It has dropped to 52.1% in 2005 from 66.36% in 1985. Especially, there has been a drastic decrease in resident consumption rate, from 48.8% in 1991 to 38.2% in 2005[5]. However, according to statistics of the World Bank, the average consumption of the world stays between 77% and 79%. For example, the average consumption rate of the world in 2002 was 81%, and the figure for low income countries was 80.7%, middle income countries, 73.2%, high income countries, 81%. But the rate in China was only 58.2%.

Is there a significant relationship between resident consumption rate and RMB real exchange rate? Does the persistent decreasing resident consumption affect the real exchange rate in China? These are undoubtedly subjects worth studying thoroughly.

Related Literature

Backus and Smith are the first to document the lack of correlation between relative consumption levels and the real exchange rate. By introducing the non-traded goods, their research demonstrates that the correlation between the growth rate of relative consumption and the growth rate of the real exchange rate, averaged across eight OECD countries, is only 0.045, with the biggest value of 0.17[6]. Calculations done by Corsetti, Dedola and Leduc show that the cross-correlations obtained from Hodrick-Prescott filtered as well as first-difference filtered data for a selection of OECD countries appear to be small and often negative. The median is between -0.30 and -0.2. The data for consumption and real exchange rates are annual series from the OECD Main Economic Indicators dataset from 1973 to 2001[7]. Most recent studies question the premise of complete financial market and take the incomplete financial market as the necessary premise, but the empirical conclusions about the cross correlation between relative consumption and the real exchange rate for the incomplete market case is the same as in the complete market case. So, Chari et al come to the conclusion that ‘The most widely used forms of asset market incompleteness does not eliminate — or even shrink- the anomaly'[8] . Further studies find that, by introducing other frictions along with asset market incompleteness, the research conclusions are able to get closer to the empirical facts, but the anomaly still holds. Corsetti et al highlight the role of distributive trade along with market incompleteness[9]. Their VAR analysis suggests that a positive productivity shock will improve the terms of trade, appreciate the real exchange rate and increase domestic consumption relative to the rest of the world. Another related contribution is a recent work by Ghironi and Melitz. In their work a non-traded sector arises endogenously because less productive firms decide not to export their products. They find that the Balassa-Samuelson effect and the real exchange rate appreciation are generated by aggregate productivity shocks rather than sector specific ones to the traded sector[10]. Benigno and Thoenissen explores the extent to which the introduction of non-traded goods, along with a limited international financial market structure, might account for the aforementioned anomaly. Their results suggest that the combination of these two factors is a promising avenue for understanding the behavior of consumption across countries as well as the real exchange rate, even though they find that the correlation between real consumption and real exchange rate is -0.09, and the so called anomaly still holds[11]. In particular, following a positive shock to the traded goods sector in the home economy, home consumption increases in relation to consumption abroad. On the other hand, the real exchange rate appreciates if the effect coming from the relative price of non-traded to traded goods (the so-called Balassa-Samuelson effect) outweighs the terms of trade effect that would imply a depreciation of the real exchange rate[12]. More generally, the structure of the disturbance and the specification of consumption preferences determine the overall cross-correlation between real exchange rate and relative consumption. The recent research about consumption and real exchange rate is finished by Hoffmann and Nitschka[13]. Basing their data on 13 industrialized countries and resorting to an international version of the consumption capital asset pricing model (CCAPM), they find that idiosyncratic consumption risk measured by the cross-sectional variance of real consumption growth explains more than 60 percent of the cross-sectional variation in exchange rates in a standard consumption CAPM adjusted for heterogeneous consumers, which bears out the holding of the consumption-real exchange rates anomaly to some degree.

Empirical Analysis

This paper will testify whether the Consumption-Real Exchange Anomaly holds in China by constructing an equilibrium exchange rate model, and at the same time, figure out how much is the strength of the Balassa-Samuelson effect and the terms of trade effect in the test. It must be mentioned that this paper does not estimate the cross-correlation between relative consumption and real exchange rate across countries, but the correlation of these two variables in China.

Constructing Equilibrium Exchange Rate Model

Since the equilibrium exchange rate is a kind of medium and long term real exchange rate, which is consistent with the external and internal macroeconomic balance, and is determined by the macroeconomic fundamentals and not influenced by short term factors[14]. most researches of the effective exchange rate of RMB are accomplished by the method of estimating equilibrium exchange rate in recent years. There are mainly two methods to estimate equilibrium exchange rate: Purchasing Power Parity(PPP) and equilibrium exchange rate model. The latter is more often used in estimating equilibrium exchange rate of RMB in recent years. The essential of the theories of equilibrium exchange rate is to analyze the effects of macroeconomic fundamentals on the equilibrium exchange rate and to calculate the equilibrium exchange rate by using correlations among these factors. In general, there are mainly four kinds of equilibrium exchange rate models: Fundamental Equilibrium Exchange Rate model (FEER), Behavioral Equilibrium Exchange Rate model (BEER), Natural Equilibrium Exchange Rate model (NATREX) and Real Equilibrium Exchange Rate model (REER), with the last one developed specially for developing countries. Due to the lack of data in developing countries, application of FEER and NATREX in such countries often runs into many difficulties, so most studies of RMB exchange rate use BEER, ERER or other small general equilibrium models.

Certain premises are necessary to estimate the equilibrium exchange rate. This paper, following the practice of Benigno & Thoenissen[15] and others, also takes the incomplete financial market as the necessary assumption and introduces non-traded goods into the model.

Given the current situation of China, one cannot simply take simultaneous realization of external balance and internal balance as the premise for estimating the equilibrium exchange rate. Still at the primary stage of the socialist market economy, China should take the continued economy growth as its long term strategy. The writer, therefore, agrees with Jiang[16] that the realization of sustainable economic growth should be taken as the first consideration in defining the equilibrium exchange rate. This does not mean that the external balance is not important. It only means that the realization of internal balance (full employment, persistent economic growth and so on) is of paramount importance and external balance should be focused on sustainable balance of the current account rather than the capital account which, in this case, should be put in a second place.

The influence of resident consumption on RMB equilibrium exchange rate, which is very important undoubtedly, is based on the intertemporal substitution effect. Generally speaking, the increase of resident consumption is in favor of the economic growth and the economic growth of one country often leads to the appreciation of its currency. But the reality is that the resident consumption in China, which is evoked by many factors, is decreasing ceaselessly during the last two decades. The most important reason behind it is that due to the low income compared to developed countries and the unsound social security system, the residents of China still have a strong inclination to save for a rainy day. Another important factor is that there is a great change in the age structure of the people and the ageing of the population stands out step by step. All of these factors lead to the persistent decrease of domestic demand, which in turn makes foreign demand a necessity for domestic economic growth and brings a large and long term surplus to the current account. The decreasing domestic demand pulls down domestic commodity prices. With other factors fixed, domestic currency depreciates, and export and national income increases. As a result, the decrease of resident consumption is often accompanied by the depreciation of the real exchange rate.

The mechanism that economic growth can result in the appreciation of domestic currency can be interpreted by the Balassa-Samuelson(BS) effect. BS effect can be stated as: Differences between countries in relative productivity in their traded versus non-traded products sectors give rise to distortions in Purchasing Power Parity. These differences in relative productivity may arise as countries develop, open itself to international trade, and catch up with advanced countries technologically. As a result, productivity in the traded sector tends to rise faster than in the non-traded sector. Accordingly, wages in the traded sector tend to rise in line with the increase in productivity, which in turn drives up wages in the non-traded sector. Non-traded wages rise faster than productivity in that sector, resulting in an increase in non-traded relative to traded product prices. Consequently, domestic prices tend to rise faster than prices in the rest of the world, leading to an appreciation of the real exchange rate. This paper also intends to figure out the relative strength of the BS effect and the effect of terms of trade.

Based on the current situation of China, the equilibrium exchange rate model of RMB is constructed as follows:

The domestic aggregate output consists of tradable and non-tradable

(1)

Where y is the aggregate domestic output, y_T is traded goods and y_N . non-traded goods, all of which are mainly affected by real exchange rate (the ratio of home tradable divided by home non-tradable) e and productivity.

The domestic demand, which is from two departments: resident and government, is composed of the demand for domestic traded goods, non-trade goods and imported goods.

(2)

(3)

Where c is resident consumption and g is government consumption. C_T. C_N and C_M stand for the consumption of domestic tradable, non-tradable and import respectively. The composition of government consumption is the same as resident consumption.

(4)

，

Formula (4) shows that domestic output is totally consumed by domestic residents and government. The internal balance can be defined as the equilibrium of non-traded goods market under the conditions of full employment, low inflation rate and persistent economic growth. If the price of export goes up, more resources will flow to traded goods department and the output of non-traded will go down, so ; the improvement of productivity in the department of traded goods also attracts more resources to this department, therefore . If the economy is of internal balance at the beginning, the increase of domestic expenditure will boost the demand for non-traded products, hence the need to raise the price of non-traded goods to appreciate real exchange rate and keep internal balance.

Defining the external balance as the balance of the current account which can bring the persisting economic growth, we get the following equation:

(5)

Where is the stock of foreign net asset, . the balance of the current account, . the return of foreign asset and stands for the transfer income of current account;

Because trade balance equals to export minus import, namely because, ,

Thus,

(6)

，

Where real exchange rate depreciates( goes up), output of traded goods increases, so ；The improvement of the productivity of traded goods sector also contributes to the output growth, so .

Substituting formula (6) into (5), together with all formulas above, we can solve the equilibrium exchange rate by the following equation,

(7)

If productivity rises, will increase and surplus in balance of payments go up too. So, in order to keep the external balance in the long run, it is necessary to let the currency appreciate.

According to the analysis above, decreasing resident and government consumption will build up a surplus in balance of payments, making it necessary to appreciate domestic currency to restore balance in the economy. According to the definition given by the National Bureau of Statistics of China, final consumption refers to the expenditure of the resident units of a country on goods and services from home and abroad and does not include the expenditure of non-resident units in the economic territory of the country. Because government consumption only amounts to one fifth of the total final consumption, this paper abandons the variable of government consumption and only focuses on the effect of resident consumption on equilibrium exchange rate.

Because of the relatively rigorous capital control in China (although China has made a great effort to open its capital account,) the interest rate spread between home and abroad is not the main reason of capital flow, so we overlook the effect of foreign interest rate on the equilibrium exchange rate. However, the net foreign asset should be taken as the very important factor, which is not only based on the model of balance of payments[17]. but also supported by the intertemporal equilibrium exchange rate model[18]. The increase of net foreign asset will appreciate the currency in the medium and long term.

The researchers can not come to consensus with regard to the effect of terms of trade on equilibrium exchange rate. Many argue that such effect is positive and the betterment of terms of trade will necessitate the appreciation of equilibrium exchange rate[19]. In fact, the effect of the betterment or deterioration of terms of trade on the equilibrium exchange rate is not yet certain. There are two effects[20]. namely income effect and substitution effect, for the betterment or deterioration of terms of trade. Under the income effect, the increase of the price of export means the improvement of real income, so the household consumption will rise and the greater demand for non-traded goods will boost its price and further push up the domestic price. On the contrary, the substitution effect will pull down the domestic price. So the effect of term of trade depends on the relative strength of these two effects.

In addition, Trade Openness (OPEN), which is expressed by the ratio of the total amount of trade to GDP in this paper as well as other similar documents, is also indispensable to estimate equilibrium exchange rate usually. Based on the consideration of objectivity, this paper takes REER Index publicized by IMF as the data resource of the variable of equilibrium exchange rate. So we have the theoretical model of equilibrium exchange rate:

Taking the form of linear logarithm, we can get the econometric model for empirical analyzing:

(8)

where is error

The sample uses quarterly data, from 1994Q1 to 2005Q2[21]. The data of Real Effective Exchange Rate (REER), Growth Rate of Real GDP, Net Foreign Asset (NFA) and OPEN are directly or indirectly from IFS. TOT is from the World Bank and Ratio of Resident Consumption (RC), is acquired from Statistic Yearbook of China of every year and the Statistics Bureau of China. REER is based on the indirect pricing and the increase means the appreciation of domestic currency.

3.2 Empirical analysis by VAR model and Johansen Cointegration Test

To seek the long tern relationship between the equilibrium exchange rate and macroeconomic fundamentals, we use the Vector Autoregression (VAR) model[22] to make empirical analysis and try to find a long term cointegration equation by the Johansen Cointegration Test[23]. Before cointegration analysis, it is necessary to test for presence of unit roots in the time series to avoid spurious regression. We use the Augmented Dickey-Fuller (ADF) test[24] to determine whether the variables of the model are stationary in first difference. The result of the stationarity test (shown by table 1) indicates that all of then are non-stationary integrated, I(1), variables, where stationarity is obtained by taking first differences.

Given all variables are I(1) series, we next test whether they have cointegration relationship. First, considering sensitivity of VAR model to the number of lags of the variables, the optimal lags of the variables of the model must be determined. In this work, we use Akaike Information Criterion (AIC) and Schwarz Information (SC) [25]. Based on these statistics, we choose lag 3 in the VAR model. Additionally, we believe that there is linear deterministic trend in cointegration vectors and intercept in cointegration equation should be reasonable.

Table 1 ： Results of ADF unit root test