Empirical Analysis on the Impact Factors of Currency Substitution in China Ping Yi 1, Chuang Zhao 2, Xiao-ling Luo3 1 Department of Economics and Management, Tongji University, Shanghai, China 2 Department of Business, Jilin University, Jilin, China 3 Department of Business, Hunan International Economics University, Hunan, China (Yiping1022@126.com) Abstract - Since American financial crisis erupted in 2008, international monetary system is under the pressure of reforming, while the superiority of RMB is recognized increasingly. After exchange rate reformed, RMB circulates in neighboring countries or regions widely. As for the crossborder circulation, the paper attempts to construct an econometric model based on western currency substitution theory, and makes an empirical analysis on the impact factors of currency substitution in China through OLS and principal component method. Results show that interest rate differential is the greatest influencing factor, followed by exchange rate while economic growth rate is indistinctive. Finally, constructive political suggestions are given. Keywords - Currency substitution, OLS, principal component method, empirical analysis I. ON THE CONNOTATIONS AND MEASUREMENT INDEX As for researches on currency substitution, it was first proposed by the U.S. economist V.K.Chetty in the American Economic Review in 1996. In the past forty years, the academic of definition of currency substitution was still controversial. But in brief, currency substitution means that there are many possibly convertible currencies in circulation in an open economy. When serious inflation or exchange rate expectation happens, it will weaken the residents’ confidence of domestic currency. It is also because of the relatively low rate of the local-currency assets return that the residents hold more foreign currency and less local currency, and then instead by capital flight or the circulation of foreign currency in the domestic. There are absolute index and relative index on currency substitution. Absolute index can be divided into three categories: total amount of foreign currency deposits, foreign currency deposits overseas, foreign currency deposits domestic and overseas added cash of residents in one country. And relative index can be divided into SR1 Fd / D SR2 Fd / M 2 , SR 3 Ff Fd / M 2 , SR1, SR 2, SR 3 mean currency substitution rate, Fd is foreign currency deposits in domestic financial system while Ff is that in overseas financial system. M 2 is broad money supply, D is local currency deposit of domestic financial system. As relative index is more accurate than the other and degree of currency substitution is fully reflected by applying of broad concept of money, nearly scholars at home and abroad use SR2 during study. II. REASEARCH STATUS AT HOME AND ABOROAD Western main theories can be attributed to four representative types: the production function theory of monetary service is first proposed by Marc A. Miles[1][2] ,followed by the marginal utility theory of monetary demand proposed by Micheal D.Bordo & Ehsan U.chondhri[3],and the portfolio theory of monetary demand proposed by David T.King[4]. Finally, theory proposed by Canada scholar Stephen S.Poloz is the precautionary theory of monetary demand [5]. Research of Boyer, R & G.Kingston shows that foreign inflation rate has significant influence on real monetary demand and circulation velocity of local currency in the case of currency substitution [6]. Bergstrand & Bundt conclude currency substitution is an important impact factor of monetary independence in the United States [7]. Chinese scholars also analyze currency substitution of RMB on the basis of foreign researches. Li Xin-dan researches RMB substitution by using Ramirez-Rojas model and proposes to form exchange rate zone, strengthen capital control and take interests rate instruments with caution for anti-substitution[8].Yang Jun holds that the elasticity of substitution between RMB and U.S. dollar is low by using Johansen's co-integration method of Miles model [9].Yue Yi-ding holds that the main influencing factors on RMB substitution are shortterm rate and macroeconomic level by using Ortiz model[10].Li Fu-guo holds that the nominal rate differential at home and abroad as well as inflation rate is the main influencing factor [11].Results got by Bian Zhicun,Yu Wan-lin and Li Shi-xin show that actual exchange rate, domestic and foreign rate differentials, exchange rate and CPI are larger factors[12-14]. It can be seen that development of western currency substitution theory is a process of continuous improvement. But the assumption of these theories is very strict or even idealistic and the variable selection don’t accord with Chinese actual situation, which need further modify combining local country’s fact to make more valuable. In addition, national scholars mainly study currency substitution by using series analysis. However, which factors is significant in a number of factors? Only rare literature uses principal component analysis, and it provides study space for this paper. III. THE INFLUENCING FACTOR Aiming at our national condition, the influencing factors on currency substitution can be refined and quantitative as follows: 1) Institutional factor includes the exchange rate regime or monetary convertibility system. China adopts a managed floating exchange rate system and multicurrency holders prefer to choose optimal monetary portfolio to reduce asset loss, which strengthen the precautionary or exchange motives. 2) Scale factor, mainly refers to national income level or the wealth number of residents in one country. The higher the level of national income gets, the greater the demand of foreign currency becomes. 3) Return differential between local and foreign currency. When foreign currency rate of return is higher, the residents will increase holding foreign currency for getting higher interest .While loans rate differentials of local currency increase, currency substitution emerges as cost of local currency increases but return decreases 4) Political and economic risks. The peaceful political environment and steady economic growth have positive effects on the intrinsic value of domestic currency. Conversely, if the domestic situation fluctuates dramatically, it is likely to lead large-scale currency substitution and capital flight in one country. IV. THE EMPIRICAL ANALYSIS A. The variable selection and data interpretation According to the theoretical analysis of the impact factors of China’s currency substitution, this paper sets lg( Fd / M 2) as dependent variable Y, independent variable Xi (i 1, 2,3, 4) are loan rate differential of RMB and foreign currency i fd , growth rate of GDP gdp ,inflation rate ,the official exchange rate e respectively, the dummy variable u equals political and economic risks. In order to improve model’s estimation accuracy and convince, this paper sets the annual inflation rate measured by consumer price index as , direct price of RMB exchange rate to U.S dollar as e, and gdp represents national income level, Fd / M 2 represents degree of currency substitution interest, rate differentials represents premium. Relative index can optimize model and also reduce serial correlation. Since China reformed the exchange rate in 1994, it opened the market-oriented exchange rate. China has changed from single and managed floating exchange rate system in 1994 to the managed floating exchange rate adjusted on a basket of currencies and market in 2005. Starting from strict examination or approval of exchange rate or compulsory settlement to the gradual relaxation of controls, the formation mechanism becomes more market- oriented. This paper aims at exploring the change of currency substitution in China since the exchange rate reforms by using annual data from 1994 to 2011.Data is from the Word Bank database, the official website of the People’s Bank of China and China Statistical Yearbook. B. Model setup and regression results Basic model of China’s currency substitution can be: lg( Fd / M 2) 0 1ifd 2 gdp 3 4e u (1) It can be further simplified as: Y 0 1x1 2 x2 3 x3 4 x4 u (2) 1) By using Eviews5.0, preliminary regressions results of the model are shown in table 1: Expression can be written as follows: Y=-5.6584+14.3614X1+0.1086X2+0.0429X3+0.0940X4 (3) It is can be known that adjusted R-squared value is 0.9848, indicating that explanatory power is strong. Pvalue is 0.0000, which shows equation is significant, that is, all kinds of independent variables together do have an obvious impact on the dependent variable. And D-W value is 1.5716. According to k is 4 and n is 15, dl can be checked to be 0.71, du is1.61.As 1.5716 is between them, it doesn’t fall in the deciding localization of the first-order autocorrelogram so the model’s autocorrelation need further verification. Given a significant level 0.05, the corresponding p value of X2 & X3 is 0.1563 and 0.6185, which indicate that both are instinctive. In summary, it is likely to have multicollinearity for the second model. 2) Reduce multicollinearity and select the best combinations of independent variables by using principal component analysis. a)The adjusted R-squared values are 0.9535、0.2152 、0.0350、0.5354 though OLS method for simple linear regression of X1,X2,X3,X4. So the first step is to retain the best explanatory variable X1. TABLE I Preliminary OLS results of China’s currency substitution Variable C X1 X2 X3 X4 R-squared D-W Coefficient t-Statistic -5.6584 -4.2337 14.3614 15.0448 0.1086 1.5330 0.0429 0.5139 0.0940 2.9061 0.9891 Adjusted R-squared 1.5716 Prob (F-statistic) Prob. 0.0017 0.0000 0.1563 0.6185 0.0157 0.9848 0.0000 b) The adjusted R-squared values for binary linear regression are 0.9605, 0.9765, 0.9838, and t-values are 0.0944, 0.003, 0.0003 by adding the rest variables X2, X3, X4 for stepwise regression, which can be decisive to retain X 4. c) Continue stepwise regression on the basis of the retained variables x1 and X4. Adding X2, adjusted Rsquared value is 0.9858, more than 0.9838 before. P value of equation is 0.0000 and t values are 0.0000, 0.0006, 0.1268.In addition, all the correlation coefficient has economic significance. However, adding X3, adjusted Rsquared value is 0.9829, less than 0.9838 before and p value is 0.53, much more than 0.05, so X3 is indistinctive. It is can be seen that X2 and X3, that is, economic growth and inflation rate have certain multicollinearity. 3) Final regression results of adjusting model lg( Fd / M 2) 0 1ifd 2 gdp 4e u Simplify as Y 0 1x1 2 x2 4 x4 u (4) (5) By using Eviews5.0, the regressions results are shown in table 2. With the same analysis, Y=-5.0326+14.0475X1+0.1124X2+0.1056X4 (6) Adding specific economic explanatory variables, final regression results are as follows: lg( Fd / M 2) 5.0326 14.0475ifd 0.1124gdp 0.1056e (7) Comparing sixth and seventh expression, both adjusted R-squared and p value are better than before. Especially, p value of X4 is decline to 0.0006 from 0.0157, which shows that there is multi-collinearity in the model before. And it is necessary to adjust to make more convincing. C. Analysis on results By principal component analysis, the economic growth rate and inflation rate have a certain degree of multi-collinearity. In order to make results more accurate, this paper excludes multicollinearity and gets the final regression results. Table 2 above shows that loan rate differentials between domestic and overseas currency, growth rate of GDP and exchange rate are effective TABLE II Final OLS results of China’s currency substitution Variable C X1 X4 X2 R-squared D-W Coefficient t-Statistic -5.0326 -9.4582 14.0475 19.8240 0.1056 4.7447 0.1124 1.6518 0.9888 Adjusted R-squared 1.4327 Prob (F-statistic) Prob. 0.0000 0.0000 0.0006 0.1268 0.9858 0.0000 explanatory variables. As to parameters symbols, they are all positive, which in accords with theoretical assumptions. It seems from regression coefficients of explanatory that the greatest impact factor is rate differentials at home and abroad, indicating that rate differentials increases by every one point and currency substitution increases by fourteen points, according with residents’ sensitivity to interest rate. Similarly, the influencing coefficients of growth rate of GDP and exchange rate are 0.1124 and 0.1056, showing that both are insensitive to currency substitution. But seeing from ttest, exchange rate passes significant test so it has obviously positive effects, and GDP not. It may result from the high speed of China’s economic development since reform and open-up along with strict financial controls, which improve residents’ expectation of RMB as well as limit flowing of capital. In summary, loan rate differential is the greatest influencing factor, exchange rate is a weak one, and both have passed significant test. Growth rate of GDP has indirect effect on currency substitution in China. Why there is so big difference for the results? Combining China’s real situation, RMB has become hard currency in Southeast Asia and enjoy title of the second U.S. dollars in recent years. With the establishment of China-ASEAN Free Trade Area, the economic integration degree with Asian countries is higher and higher, and the scope of RMB circulation in neighboring regions or East Asia expands continually. The passive situation of RMB by alternative dollars is changing with China’s powerful economic forces. So growth rate of GDP is instinctive to China’s currency substitution, even has a passive effect to some extent. Fully market-oriented exchange rate has a certain impact, but it is nearly zero to China. The reason is that the foreign exchange market mechanism is not perfect and capital projects are not fully convertible as well as the financial capital control is strict in China, which prevents the residents’ true demand of foreign exchange convertibility. All leads the weak substitution. For rate differential of domestic and overseas currency is a significant factor, the reason is that Chinese often need exchange RMB to U.S. dollars on the purpose of traveling, studying abroad or trading .Chinese are quite sensitive to interest rate. When domestic loan rate gets higher, residents prefer to relatively low-cost foreign currency, so currency substitution comes into being. In addition, American financial crisis, along with the EURO debt crisis and Japan’s strong earthquake, shakes their dominant position and brings opportunities and challenges for China. Currently, China’s economic structure is in transition, which will be beneficial to solve the inevitable dilemma during internationalization. The natural geographical advantages and others push RMB to open up all over the world. V. CONCLUSIONS AND SUGGESTIONS On the basis of theoretical and empirical analysis above, this paper holds that the degree of currency substitution is still low at present and the main influencing factor is loan rate differential of domestic and overseas currency, followed by official exchange rate. GDP growth is indirect impact factor. Taking China’s actual situation into account, it needs to pay much more attention to the following aspects. 1)Firstly, to improve the social security system and strengthen the role of domestic demand as well as reduce trade dependence gradually to boost economy. On one hand, it can decrease the upward pressure of currency substitution in the short or long term effectively; On the other hand, it will avoid over-reliance on external economies during domestic economic development, which is key to solve frequent trade friction in China. 2) Secondly, to reduce loan rate of RMB and improve the actual currency revenue, and to establish the wonderful environment of interest rate for attracting foreign investment; To open financial and monetary market gradually and strengthen international investment in the great trend of globalization to improve RMB liquidity and the functions of trading, storage in the international markets. 3) Thirdly, to make exchange rate stable. Our national foreign currency reserves and total assets have shrunk dramatically by the decreasing U.S. dollars, which is not conductive to economy and thus reduce the residents’ confidence in investment. The favorable exchange rate environment is strong guarantee to reduce the currency substitution. Only by establishing a good exchange rate formation mechanism can exchange cost be reduced and efficiency be improved. 4) Fourthly, continue to persist in taking economic construction as center and build a harmonious society. Although our country’s financial system control is strict and capital project has not yet opened fully. But with the continued growth of economic strength and international status, it is very likely that RMB replace the currencies of other countries until realize regionalization. 5) Finally, to encourage RMB going out, continue enhancing cooperation with ASEN, to start settlement business and expand circulation of RMB in other Asian regions, to speed up constructing offshore financial centers of RMB in China, and based on CEPA and ECFA, to form Greater China Currency areas led by Chinese mainland and cooperating with Honking, Macao and Taiwan for signing Swap Agreements. By using these approaches and methods, RMB internationalization will speed up. In the upward expectation of RMB appreciation, RMB will be held more by other foreign countries, which will decrease the degree of currency substitution and increase anti-substitution in China. If economy of China continues growing steadily, the speaking right of RMB will enhance and improve in the international monetary systems. This paper firmly holds that RMB can well stand side by side with U.S. dollar and euro to become the world’s three major currencies in the near internationalization ultimately. future and toward REFERENCES [1] Miles. M. A, Currency substitution, flexible exchange rates, and monetary independence, vol. 68.American Economic Review, 1978, pp.429-436. [2] Mark A. Miles, Currency substitution: Some further results and conclusions, Southern Economic Journal, 1981, pp.23-25. [3]Micheal D.Bordo & Ehsan U. Choudhri, Currency substitution and demand for money, Journal of money, credit and Banking, 1982, pp.45-47. [4] Lee R.Thomas, Portfolio theory and currency substitution, Journal of Money, credit and Banking,1985,pp.19-20 [5]Steepen S.Poloz, Currency substitution and precautionary Demand for money, Journal of International Money and Finance, 1986. [6]Codington J T. Currency substitution, capital mobility and money demand, Journal of International Money and Finance, 1983, pp. 111 - 123. [7] Guidotti P E, Currency substitution and financial innovation, Journal of Money, Credit and Banking,1993, pp.109-124. [8] Li Xin-dan and Zhong Wei, Empirical analysis of currency substitution in China, International Economics and Trade Research, 1998, pp.38-42. [9] Yang Jun. An empirical study of elasticity of currency Substitution in China, Journal of Finance,2002, pp.20-45. [10] Yue Yi-ding and Zhang Qi, The empirical analysis on main factors of currency substitution under the open economy, Quantitative & Technical Economics,2004, pp.5-9. [11] Li Fu-guo and Ren Xing, An empirical study of currency substitution model, Journal of Finance, 2005, pp.46-55. [12] Bian Zhi-cun, On the extent of currency substitution & influential factor, Journal of Henan College of Financial Management Cadres, 2003, pp.17-20 [13]Yu Wan-lin and Zhu Yan, Analysis on currency substitution in the monetary competition, Finance and Economy,2005, pp.66-67. [14] Li Shi-xin and Wang Hao, The empirical analysis on impact factors of currency substitution in China, Financial forum,2010,pp.8-9.