The Determinants of Price Volatility in China’s Commodity Futures Markets 1 Yu Xin, Gongmeng Chen, and Michael Firth 2 ABSTRACT This paper systematically investigates the main determinants of price volatility in China’s commodity futures markets, including past price volatility, past unexpected returns, day effects, seasonality effects, year effects, time to maturity, trading volume, open interest, expected and unexpected trading activities, and asymmetrical effects of unexpected trading activities, especially for trading volume and open interest and their components. Based on the empirical results, we find that (1) the copper futures market was more mature and effective during 1999-2002 than during 1996-1998; (2) generally, there was a significant positive effect on price volatility for trading volume and unexpected trading volume in all four commodity futures markets, and during 1999-2002, the effect of unexpected trading volume was higher than that of expected trading volume in the copper, aluminum, and soybean markets; (3) the significant negative effect of open interest and expected open interest on price volatility are observed mainly in copper, soybean, and wheat markets during 1999-2002, and we can not find any consistent and significant effect of unexpected open interest on price volatility in all markets; (4) the asymmetry effect of unexpected volume on price volatility mainly existed in copper and soybean markets, and the asymmetry effect of unexpected open interest on price volatility mainly existed in the aluminum futures market. Finally, we discuss the policy implications based on the empirical results. Key Words: commodity futures, price volatility, determinants, trading volume and its decomposition, open interest and its decomposition I. INTRODUCTION Due to the rapid economic growth after 1979, China has become one of the largest countries in the production and consumption of many important commodities, such as soybean, copper, petroleum, and so on. In this context, it is very important to have correct pricing for these products. However, the 1 The authors appreciate the constructive suggestions and/or comments given by Dr. Yu Weifeng (the executive editor of China Accounting and Finance Review), the anonymous reviewer, and Dr. Fan Xinting. 2 Xin Yu, assistant professor, Department of Finance and Investment, School of Business, Zhongshan University, No. 135, Xingang West Road, Guangzhou City, Guangdong Province, China (510275); Chen Gongmeng, associate professor, School of Accounting and Finance, The Hong Kong Polytechnic University, Kowloon, Hong Kong; Firth Michael, chair professor, School of Accounting and Finance, The Hong Kong Polytechnic University, Kowloon, Hong Kong. 1 current status is unsatisfactory due to there being no developed commodity futures markets to play the role of pricing center, price discovery, and risk hedging. Thus, the development of commodity futures markets is very important in China. Therefore, empirical research for China’s commodity futures markets and a detailed comparison to Western mature futures markets is very helpful for us to understand the current status and further consider the future direction. This study contributes to the current literature, since the price behaviors of China’s commodity futures markets have not been systematically investigated before. Specifically, we empirically examine the determinants of futures price volatility, including past price volatility, past unexpected return, seasonality effect, day effect (calendar anomalies), year effect, time-to-maturity, trading volume and its components, open interest and its components, and the asymmetrical effect of unexpected components of trading volume and open interest. The paper proceeds as follows. Section 2 gives a brief discussion of China’s commodity futures markets and their historical background. Section 3 describes our research design and the data. The results are reported and discussed in section 4. The last section concludes the study and gives a policy implication. II. THE DEVELOPMENT OF CHINA’S COMMODITY FUTURES MARKETS When China operated under a planned economy, there was no need for a commodity futures market to discover prices or hedge against price fluctuations because the government controlled the prices of almost all commodities. However, in the 1980s China began the transformation from a planned economy to a market economy. Following the implementation of price system reform, the scope of market-adjusted prices has increased continuously. Thus, commodity futures markets are necessary in China. In October 1990, the China Zhengzhou Grain Wholesale Market was founded. This market, which was based on spot transactions, introduced the mechanism of futures transactions, and was the first commodity futures market in China. In 1991, the Shenzhen Metal Exchange was established, and this exchange introduced the earliest standardized aluminum futures contract. Not surprisingly, China’s futures markets expanded rapidly and irrationally in the initial stage of development. By the end of 1993, over 50 futures exchanges had been founded in China, providing over 50 kinds of futures products. In the meantime, there were over 1,000 futures brokerage corporations in China. The uncontrolled growth led to a set of serious problems, including inefficient duplication of products, market manipulation and outright fraud, and dramatic ups and downs of futures markets. To solve these problems, the Chinese government enacted regulations at the end of 1993 and the beginning of 1994, and the oversight and monitoring responsibilities were more clearly delineated to the China Securities Regulatory Commision (CSRC). After the regulations came into effect, the 2 number of futures exchanges was reduced to 15 3 , the number of commodities traded was reduced to 35, the number of futures brokerage corporations was reduced to 330 due to the introduction of a licensing system, and the exchanges became not-for-profit organizations. These measures were aimed at improving the credibility of the markets and reducing the most rampant cases of fraud. Nevertheless, some inefficiencies and market manipulation persisted and so the authorities introduced further reforms at the end of 1998. The second round of reforms were introduced in late 1998. The number of futures exchanges was reduced to three, namely the Shanghai Futures Exchange (SHFE), the Zhengzhou Commodity Exchange (ZCE), and the Dalian Commodity Exchange (DCE). Just twelve commodity futures products were allowed to be traded, and only six to seven products had real transactions. In the meantime, the number of futures brokerage corporations fell to 213 due to minimum capital requirements and the need to pass licensing examinations. In June 1999, the State Council promulgated the Temporary Decree on Futures Transactions (Decree) and four implementing rules, which took effect from September 1, 1999. The enforcement of this Decree means that the legal framework for futures markets was constructed and the legal regulation was strengthened. Although this second powerful adjustment led to continuous decrease 4 in transactions, the reforms also led to improvements in information disclosure, settlement procedures, and contract enforcement, and the further standardization of contracts, which provided a better base for further development. A recovery in activity can be observed from 2001, and the transactions increased dramatically. In 2003, the turnover reached 10838.9 billion yuan RMB, which was higher than the previous highest turnover in 1995 (9240.8 billion yuan RMB). Consistent with above analysis, table 1 reports the basic information of China’s commodity futures markets. We also list the yearly turnover of four products that will be examined in this study. Generally, the transactions of copper and soybean futures are more active than those of aluminum and wheat futures, although the transactions of aluminum and wheat futures still are relatively active. All four products experienced a stable growth in transactions during recent years. In 2003, all products experienced a dramatic growth in transactions except aluminum. Table 1 The Basic Information of China’s Commodity Futures Markets 1995 1996 1997 1998 1999 2000 No. of 15 14 14 14 3 3 Exchanges No. of Products 35 35 35 35 12 12 213 175 No. of Brokers 330 326 293 279 Turnover 9240.8 8411.9 6117.1 3298.6 2234.7 1607.3 3 2001 3 2002 3 2003 3 12 163 3015.4 12 170 3948.1 12 189 10838. In 1996, the Changchun United Exchange was closed due to irregular operation, and the number of exchanges decreased to 14. 4 In 2000, the trading volume dropped to bottom with a turnover of RMB 1607.3 billion, or just seventeen per cent of the turnover in 1995. 3 (billion RMB) Copper yuan Alumin 9 683.3 135.1 402.1 19.2 398.2 217.2 464.8 8.3 424.9 38.5 503.6 73.1 651.1 199.5 918.8 319.2 2162.2 321.3 um Soybean 223.4 742.0 1049.8 675.5 642.2 760.6 1912.1 1925.5 3332.2 Wheat 11.0 2.3 13.3 78.6 8.7 156.1 183.5 225.2 795.3 Sources: Adapted from data in China Securities and Futures Statistical Yearbook (1998-2002), and www.cfachina.org. After about ten years of development, China’s soybean (listed in DCE) and copper (listed in SHFE) futures have become the second largest in the world, being just smaller than the CBOT and LME, respectively. III. RESEARCH DESIGN Understanding price volatility is important for commodity traders, market participants, exchanges and market regulators. First, because futures prices are often used to set contract prices in a spot commodity market, then to some extent the volatility of futures prices implies the extent of the risk of holding the related commodity. Second, knowledge of price volatility is very helpful for exchanges in setting margins and for regulators in monitoring futures markets. Third, to a great extent the perceptions and transactions of market participants are affected by price volatility. Therefore, the determinants of price volatility in futures markets has received a great deal of attention in recent years, including time-to-maturity effect, calendar anomalies, seasonality/month effect, year effect, ratio of speculators to hedgers, market concentration, trading volume, open interest, market conditions, and natural conditions. 1. Sample and Data Based on previous analysis and the availability of data 5 , four relatively active commodity futures, copper, aluminum, soybean, and wheat are the subjects of our study. Copper futures are further investigated by dividing them into two sub-samples to evaluate the policy effect of the second policy adjustment by the government. The sample periods are from January 4, 1999 to December 31, 2002 for aluminum and soybean futures, from January 4, 2000 to December 31, 2002 for wheat futures, from January 2, 1996 to December 31, 2002 for copper futures, from January 2, 1996 to December 31, 1998 for the first sub-sample of copper futures, and from January 4, 1999 to December 31, 2002 for the second sub-sample of copper futures. All raw data are downloaded from the websites of three 5 The related websites do not provide the data before 1999 for soybean futures, before 2000 for wheat futures; the data before 1996 for copper futures are not complete, which means that our time series procedure can not be conducted; the yearly turnovers of aluminum futures before 1999 changed dramatically (please see table 1) and are not consistent among different years, thus the sample of aluminum futures exclude the data before 1999. 4 futures exchanges, the Shanghai Futures Exchange, the Dalian Commodity Exchange, and the Zhengzhou Commodity Exchange. Following previous studies, a nearby price 6 is selected to construct a rollover time series. In common with previous research, the returns ( Rt ) are computed as the first difference in the logarithms of the daily closing prices. In the meantime, to obtain an aggregate measure of trading activity in each market, volume ( ALLVOLUMEt ) and open interest ( ALLOPIN t ) are summed up across all outstanding contracts for each trading day, respectively. 2. Detrended Adjustment for Raw Trading Volume and Open Interest Series Since previous studies have found strong evidence of both linear and nonlinear time trends in raw trading volume and/or open interest series (Gallant, Rossi, and Tauchen, 1992; Lee and Rui, 2001), the raw trading volume and/or open interest series needs to be detrended to achieve stationarity. The following regressions are conducted to detrend the raw volume and/or open interest series. ln( ALLVOLUME )t = c + α1TRENDt + α 2TRENDt * TRENDt + ε t (1) ln( ALLOPIN )t = c + α1TRENDt + α 2TRENDt * TRENDt + ηt (2) where ln( ALLVOLUME)t is the natural log of the daily total trading volume (1000 lots) for all contracts; ln( ALLOPIN )t is the natural log of the daily total open interest (1000 lots) for all contracts; TRENDt is the number of observations; and the residuals of equation (1) and (2) are the detrended trading volume series DEVOLUMEt and detrended open interest series DEOPIN t , respectively, which will be used in following empirical tests. Here TRENDt is used to model the linear time trend, and TRENDt * TRENDt is used to model the nonlinear time trend. In this study, if we find that the coefficients of TRENDt and/or TRENDt * TRENDt are not significant, the related terms will be excluded to obtain a new OLS regression, which will be used to filter the raw volume series. The detailed results of detrended regressions for raw trading volume and open interest are listed in table 2. Generally, we find that linear and nonlinear time trends both exist in the copper futures market, and that there is no linear and nonlinear time trend in the wheat futures market. In the aluminum and soybean futures markets, a linear time trend exists for raw trading volume, and both linear and nonlinear time trends exist for raw open interest. 6 A switch from the nearby contracts to the contracts next nearest to delivery is made during the delivery month of the nearby contracts. By constructing data in this way, all price data within the delivery month are excluded to avoid the possibility of noise during the delivery month. 5 3. The Measures of Price Volatility Based on the previous literature (Schwert, 1990; Jones, Kaul, and Lipson, 1994; Fung and Patterson, 2001), we employ a two-pass procedure to obtain a residual-based volatility estimator. To obtain this estimator, the following regression model is conducted: 5 15 k =1 j =1 Rt = ∑α k Dkt + ∑ β j Rt − j + ε t (3) where Rt is the close-to-close return (the first difference of the natural log of the nearby futures closing price) on day t; and the Dkt variables are the five day-of-the-week dummy variables, which are used to capture the differences in mean returns. The 15 lagged returns are employed as regressors to estimate the short-run movement in conditional expected returns. Then, the absolute value of the residuals ( ε t ) 7 from equation (4) is used to measure the residual-based daily price volatility (PVt). In the meantime, due to robustness reason, we also consider the following two measures of price volatility (GK price volatility and HL price volatility) based on the Garman and Klass (1980) and Serletis (1991): ⎧1 2 2⎫ PVGK t = ⎨ [ln( Pht ) − ln( Plt )] − (2 ln 2 − 1)[ln( Pot ) − ln( Pct )] ⎬ ⎩2 ⎭ PVHLt = 0.5 [ln( Pht ) − ln( Plt )]2 4 ln 2 (4) (5) where Pht , Plt , Pot , Pct are the nearby high, low, opening and closing futures prices on day t , respectively. Table 2 Detrended Procedure for Raw Trading Volume and Open Interest Series Copper Copper 1 Copper 2 Aluminum Soybean (96~02) (96~98) (99~02) (99~02) (99~02) Dependent Variable: Trading Volume [ln(ALLVOLUME)t] Independ Coefficients Coefficients Coefficients Coefficients Coefficients ent (T Statistics) (T Statistics) (T Statistics) (T Statistics) (T Statistics) Variable s C 1.6507 1.3077 2.6706 -0.1344 4.4710 (36.009***) (16.990***) (51.673***) (-1.890*) (73.426***) TREND 0.0018 0.0036 0.0008 0.0035 0.0013 (14.164***) (7.511***) (3.268***) (10.290***) (4.630***) TREND* -3.20E-07 -1.75E-06 5.36E-07 1.43E-07 3.71E-07 TREND (-4.555***) (-2.767***) (2.185**) (0.416) (1.268) 0.4756 0.3427 0.3268 0.6570 0.3647 R2 7 Wheat (00~02) Coefficients (T Statistics) 3.4942 (52.254***) 0.0005 (1.042) 7.81E-07 (1.261) 0.1080 The lags in residuals ( ε t ) will be considered as past unexpected returns (UNEXRt), which are used in the determinants regressions. 6 Dependent Variable: Open Interest [ln(ALLOPIN)t] Independ Coefficients Coefficients Coefficients Coefficients Coefficients Coefficients (T Statistics) (T Statistics) (T Statistics) (T Statistics) (T Statistics) (T Statistics) ent Variable s C 3.8032 3.8107 4.3758 2.6338 5.1332 4.9286 (290.300*** (156.288*** (363.535*** (99.799***) (241.516*** (104.709*** ) ) ) ) ) TREND 0.0010 0.0007 0.0015 0.0003 0.0030 0.0002 (27.147***) (4.436***) (25.338***) (7.123***) (29.138***) (0.773) TREND* 2.75E-09 6.85E-07 -3.72E-07 8.06E-07 -9.39E-07 6.16E-07 TREND (0.137) (3.412***) (-6.520***) (6.306***) (-9.195***) (1.413) 0.8750 0.5703 0.8580 0.7483 0.8737 0.0986 R2 ***, **, and * means significant at the one percent, five percent, and ten percent level, respectively. In addition, as one part of robustness test, we also calculate the trend-adjusted price volatility (similarly for trading volume and open interest) for the three kinds of price volatility measures to conduct the related regressions. The empirical results (not report here) do not change significantly. 4. The Decomposition of Detrended Trading Volume and Open Interest Following the procedures of Bessembinder and Seguin (1993), we decompose the trading activities (trading volume and open interest) into expected and unexpected components. By observing the correlograms associated with the autocorrelation function (ACF) and the partial autocorrelation function (PACF), we partition the detrended trading volume (DEVOLUME) using an AR(10), and partition the detrended open interest (DEOPIN) using an AR(2). This step yields the one-step-ahead forecast errors ( μ t ) for trading volume and open interest series respectively, which is calculated as DEVOLUME (DEOPIN) minus the fitted value of the AR process for DEVOLUME (DEOPIN). The two one-step-ahead forecast errors ( μ t ) for DEVOLUME and DEOPIN are then regressed against lags in residual-based volatility (PV), lags in trading volume (DEVOLUME), lags in open interest (DEOPIN) and days until the expiration of the next contract (TTM), to capture the predictive power of these variables, respectively. That is, 5 5 5 j =1 k =1 m =1 μt = α + ∑ β j PVt − j + ∑ γ k DEVOLUMEt − k + ∑ϕ m DEOPINt − m + φTTM t + ν t (6) Finally, the unexpected component (UNEXVOL, unexpected trading volume, and UNEXOPIN, unexpected open interest) 8 of each series is defined as 8 ν t , the residuals of the Equation (6-5); while When we consider the unexpected trading volume (and/or open interest) as the determinants of price volatility, it is mainly based on a logical and theoretical analysis. We do not specially emphasize the direction of causality, since we can not employ the current unexpected trading volume (and/or open interest) to predict current price volatility. We thank the anonymous reviewer for this point. 7 the expected component is defined as the difference between the detrended trading activities and the unexpected components as follows: EXVOLt = DEVOLUMEt − UNEXVOLt (7) EXOPIN t = DEOPIN t − UNEXOPIN t (8) 5. The Regression Models The following four OLS regressions are conducted in this study: 5 5 3 4 i =1 j =1 m =1 k =1 PVt = c + ∑ α i PVt − i + ∑ β jUNEXRt − j + ∑ηm S m + ∑ γ k DAYk + ∑ λnYEARn + n ρTTM t + ε t (9) 5 5 3 4 i =1 j =1 m =1 k =1 PVt = c + ∑ α i PVt − i + ∑ β jUNEXRt − j + ∑ηm S m + ∑ γ k DAYk + ∑ λnYEARn + n ρTTM t + φ1DEVOLUMEt + ϕ1DEOPINt + ε t (10) 5 5 3 4 i =1 j =1 m =1 k =1 PVt = c + ∑α i PVt − i + ∑ β jUNEXRt − j + ∑ηm S m + ∑ γ k DAYk + ∑ λnYEARn + n ρTTM t + φ1EXVOLt + φ2UNEXVOLt + ϕ1EXOPINt + ϕ 2UNEXOPINt + ε t 5 5 3 4 i =1 j =1 m =1 k =1 (11) PVt = c + ∑ α i PVt − i + ∑ β jUNEXRt − j + ∑ηm S m + ∑ γ k DAYk + ∑ λnYEARn + n ρTTM t + φ1EXVOLt + φ2UNEXVOLt + φ3VOLDUMMYt * UNEXVOLt + ϕ1 EXOPIN t + ϕ 2UNEXOPIN t + ϕ 3OPINDUMMY t *UNEXOPIN t + ε t (12) where PVt is the residual-based price volatility series (GK price volatility and HL price volatility in robustness tests); UNEXRt is the unexpected return series; S1-S3 variables are the seasonality (Spring: March, April, and May; Summer: June, July, and August; and Autumn: September, October, and November) dummy variables; DAY1-DAY4 variables are the day dummy variables (Monday, Tuesday, Wednesday, and Thursday);. YEAR96-YEAR01 variables are the year (1996-2001) dummy variables; TTMt is the number of days until the expiration of the next contract to measure the time to maturity; DEVOLUMEt is the detrended trading volume series; DEOPINt is the detrended open interest series; UNEXVOLt is the unexpected trading volume; UNEXOPINt is the unexpected open interest; EXVOLt is the expected trading volume; EXOPINt is the expected open interest; VOLDUMMYt is a dummy variable, if UNEXVOLt>0, then VOLDUMMYt=1, otherwise VOLDUMMYt =0; OPINDUMMYt is a dummy variable, if UNEXOPINt>0, then OPINDUMMYt=1, otherwise OPINDUMMYt=0. Past price volatility, past unexpected return, seasonality dummy variables, day dummy variables, year dummy variables and the time-to-maturity variable are included in all four equations as control 8 variables. In addition, equation (10) includes the trading activities variables of trading volume and open interest; equation (11) includes expected and unexpected trading activities; equation (12) includes expected and unexpected trading activities and the interactions between unexpected trading activities and dummy variables, which are used to examine the asymmetrical effect of unexpected components. The analysis for equations (10), (11) and (12) is based on the trading activities (that is, trading volume and open interest) and their components. To control for the autocorrelation and/or heteroskedasticity in the error terms, we employ the Newey-West T-test to measure statistical significance in models (9)~(12). IV. EMPIRICAL RESULTS Table 3 reports the descriptive statistics for the raw trading volume, raw open interest, return, and the residual-based price volatility; table 4 reports the empirical results of model (9); table 5 presents the empirical results of models (10), (11) and (12); and table 6 provides the results of the robustness tests for models (10), (11) and (12). Based on the descriptive statistics in table 3, we find that not all the four variables are normally distributed. It should be noted that the return and price volatility for wheat futures are characterized by especially high kurtosis and skewness, which indicates that the empirical distributions of these two variables of wheat futures have very significant left skewness and fat tails. 9 This reminds us that we should pay more attention to wheat futures market when we conduct our analyses. 10 Table 3 Descriptive Statistics for the Raw Residual-based Price Volatility Copper Copper 1 (96~02) (96~98) Raw Trading Volume: ln(ALLVOLUME)t Mean 9.746786 9.233036 Median 9.846970 9.328745 Skewness -0.744105 -0.711223 Kurtosis 4.055427 3.826696 Observations 1706 736 Raw Open Interest: ln(ALLOPIN)t Mean 11.53493 11.09216 Median 11.51004 11.13854 Skewness -0.201178 -0.169547 Kurtosis 2.127802 1.686283 Observations 1706 736 Return: Rt Mean -0.000289 -0.000755 Trading Volume, Raw Open Interest, Return, and the Copper 2 (99~02) Aluminum (99~02) Soybean (99~02) Wheat (00~02) 10.13660 10.17214 -0.447733 3.866615 970 8.506592 8.484255 -0.424454 2.442881 960 12.14479 12.19407 -0.206824 2.639685 964 10.68839 10.74948 -0.411815 3.044584 694 11.87089 11.88377 -0.305950 2.159766 970 10.22369 10.09963 -0.190398 3.366237 960 13.17991 13.22439 -0.324223 1.883263 964 12.01947 12.06117 -0.658355 2.722679 694 5.67E-05 -1.13E-05 0.000254 0.000217 9 In addition, the return and price volatility for soybean futures are characterized by especially high kurtosis. As to the measures of price volatility, the skewness and kurtosis of PVGKt and PVHLt for wheat futures have been significantly improved (not reported here and can be provided on request) relative to the residual-based price volatility. Thus, when we analyze the empirical results for the determinants of price volatility in the wheat futures market, the results of the robustness tests for PVGKt and PVHLt maybe more relevant and more meaningful. 10 9 Median 0.000000 -0.000619 Skewness -0.091497 -0.207091 Kurtosis 5.152027 4.844702 Observations 1705 735 Residual-based Price Volatility: PVt Mean 0.005967 0.006267 Median 0.004131 0.004258 Skewness 1.772188 1.674400 Kurtosis 6.635651 5.813588 Observations 1690 720 0.000000 0.064257 5.341264 969 0.000000 -0.447846 5.734238 959 0.000000 0.326912 22.31398 963 0.000000 10.66680 204.2419 693 0.005745 0.004080 1.833050 7.247704 954 0.003794 0.002553 1.917170 7.648505 944 0.006604 0.003994 4.540317 37.01051 948 0.007418 0.003692 13.51471 244.1428 678 1. Past Price Volatility and Past Unexpected Return By observing the significance of past price volatility in table 4, we find that the effects of past price volatility on current price volatility are significant in all futures markets except for the copper (sub-sample 2) futures market. Generally, the empirical results provide consistent support for the argument that in the documenting of contemporaneous determinants of volatility past volatility shocks must be accommodated. By comparing the empirical results between copper (sub-sample 2) and copper (sub-sample 1), we find that past price volatility does not predict current price volatility in the sub-sample 2 period (1999-2002); this indicates that the market is more mature and effective in the sub-sample 2 period for copper futures 11 . By observing the significance of past price volatility in table 4, we find that the effects of past unexpected returns on current price volatility are significant only for copper sub-sample 1 futures (1996-1998) 12 , but not for copper (sub-sample 2), aluminum, soybean, and wheat futures. The estimated coefficients on lagged unexpected return shocks are significantly negative for the copper sub-sample 1 futures market, which indicates negative return shocks (price decrease) have a larger effect on subsequent price volatility. Since this effect does not exist for the copper sub-sample 2 futures, we claim that the effectiveness of copper futures improved during the period 1999-2002. Table 4 The Determinants of Price Volatility (Dependent Variable: PVt) Copper (1996~2002) Copper 1 (1996~1998) Determinants Coefficients Prob. Coefficients Prob. C 0.001110 0.2071 0.001675 0.2226 PVt-1 0.026557 0.2778 0.040525 0.2911 PVt-2 0.061442 0.0346** 0.150373 0.0002*** 0.058275 0.0282** 0.080603 0.0961* PVt-3 0.072388 0.0200** 0.073486 0.1314 PVt-4 0.074369 0.0106** 0.071407 0.0791* PVt-5 UNEXR t-1 -0.009662 0.6045 -0.031156 0.3191 UNEXR t-2 -0.055344 0.0027*** -0.069021 0.0102** Copper 2 (1999~2002) Coefficients Prob. 0.002046 0.0625* -0.020346 0.5498 -0.038331 0.3345 0.011103 0.7166 0.039637 0.2479 0.049941 0.2172 0.013795 0.5383 -0.036616 0.1351 11 We have a relatively broad definition for effectiveness/efficiency. It is mainly related to (1) China’s commodity futures markets have played the role to appropriately respond to information; (2) China’s commodity futures markets have similar market responses as Western mature futures markets; or (3) the market response of China’s commodity futures markets is consistent with the related futures theories. 12 For the copper futures market, we analyze the empirical results for the two sub-samples separately. 10 -0.031384 0.0843* -0.081553 0.0012*** -0.000125 0.9946 0.010786 0.7088 0.001217 0.9470 -0.016801 0.5251 -0.000596 0.1400 -0.001128 0.0782* 0.000175 0.6873 -4.21E-05 0.9526 -0.000233 0.5896 -0.000891 0.1992 0.000659 0.1378 0.001162 0.1240 0.000172 0.6889 9.75E-05 0.8804 0.000436 0.2975 0.000326 0.6414 0.000164 0.6830 -0.000407 0.5078 0.001105 0.0671* 0.000180 0.7509 0.000303 0.5488 -0.000476 0.3354 0.000904 0.0626* 0.000923 0.0507* -0.000154 0.7003 0.000962 0.0405** 5.51E-05 0.0029*** 5.46E-05 0.0602* 0.063135 0.123727 1685 715 Aluminum (1999~2002) Soybean (1999~2002) Determinants Coefficients Prob. Coefficients Prob. C 0.000951 0.1975 0.003868 0.0022*** PVt-1 0.057208 0.1151 0.087064 0.0456** PVt-2 0.095426 0.0040*** 0.002979 0.9094 0.057867 0.0650* -0.003117 0.9102 PVt-3 0.067863 0.0860* 0.049994 0.0548* PVt-4 0.057697 0.1148 -0.014231 0.6547 PVt-5 UNEXR t-1 -0.007964 0.7752 0.000516 0.9887 UNEXR t-2 0.025463 0.2562 -0.002918 0.8887 0.035760 0.1251 -0.028165 0.2490 UNEXR t-3 -0.010000 0.7115 -0.030469 0.2910 UNEXR t-4 0.022147 0.4001 0.032335 0.1647 UNEXR t-5 S1 -0.000741 0.0785* -0.001708 0.0841* S2 -0.001005 0.0100** -0.001495 0.0966* -0.000236 0.5395 -0.001476 0.1594 S3 DAY1 0.000730 0.0858* 0.001517 0.1606 DAY2 -0.000161 0.6707 5.66E-05 0.9497 -0.000155 0.6559 -0.001249 0.1334 DAY3 -0.000212 0.5536 -0.001035 0.2195 DAY4 YEAR99 0.000638 0.1258 -0.000145 0.8581 YEAR00 0.000112 0.7309 -0.000181 0.8287 0.000455 0.1982 0.000845 0.3029 YEAR01 TTM 4.01E-05 0.0133** 5.42E-05 0.0243** R2 0.090677 0.047906 Observations 939 943 ***, **, and * means significant at the one percent, five percent, and ten The Newey-West T-test is employed to test for statistical significance. UNEXR t-3 UNEXR t-4 UNEXR t-5 S1 S2 S3 DAY1 DAY2 DAY3 DAY4 YEAR96 YEAR97 YEAR98 YEAR99 YEAR00 YEAR01 TTM R2 Observations 0.016954 -0.005482 0.024575 -0.000612 -0.000189 -1.45E-05 0.000375 0.000167 0.000488 0.000459 0.4768 0.8127 0.3570 0.2707 0.7384 0.9790 0.4736 0.7693 0.3603 0.3830 0.001408 0.0128** -0.000119 0.7989 0.001526 0.0054*** 6.14E-05 0.0106** 0.045924 949 Wheat (2000~2002) Coefficients Prob. -0.005749 0.0657* 0.254438 0.1242 0.017667 0.7296 -0.053572 0.0093*** 0.007117 0.7354 0.006596 0.8020 -0.176971 0.2980 -0.042915 0.3334 0.021290 0.1944 -0.025255 0.1377 -0.029825 0.3959 -0.000895 0.5429 -0.000680 0.6150 0.000974 0.6482 0.004120 0.0103** 0.001059 0.3461 0.003864 0.1636 0.000313 0.7600 0.004426 0.000892 0.000140 0.089280 673 percent level, 0.0317** 0.5559 0.0045*** respectively. 2. Seasonality, Calendar Anomalies, Year Effect, and Time-to-Maturity Effect Based on table 4 and at the five percent significant level, a significant seasonality effect can be observed in the aluminum futures market. In the aluminum futures market, we find that the price 11 volatility in summer is significantly lower than in other seasons. In addition, we can not find significant seasonality effects in copper, copper sub-sample 1, copper sub-sample 2, soybean, and wheat futures markets. At five percent level, a significantly positive Monday effect can be observed in the wheat futures market, which implies that the effect of the trading gap leads to higher price volatility on Monday, since Monday follows a two-day exchange-and-business holiday, and thus more information needs to be absorbed on Monday. However, this significant Monday effect can not be observed in copper, aluminum, and soybean futures markets. At five percent level, the year effects are significant for the copper (sub-sample 2) and wheat futures markets, but not for the copper (sub-sample 1), aluminum and soybean futures. To some extent, the year effect reflects the impact of macroeconomic conditions on the supply and demand situation of commodities, which leads to an inconsistent trend of price volatility in the different years. The positively significant time-to-maturity effect can be found in all futures markets (marginally significant for the copper sub-sample 1 futures market). That is, when a futures contract approaches maturity, the related price volatility will decline accordingly. This empirical evidence provides support for the argument of Rutledge (1976). 3. Trading Volume and Open Interest The above analysis for the determinants of futures price volatility is based on the control variables (in table 4); next, we will analyze tables 5 and 6, which focus on trading volume and open interest and their components. Consistent with previous empirical evidence, a significantly positive relationship between trading volume and price volatility can be found in all futures markets 13 . When trading volume increases, it increases the probability that prices will move into higher or lower regions, and that their volatility will be greater than before. On the other hand, trading volume can be considered as a proxy for information. A greater amount of information, embedded in volume, will then yield greater volatility. Consistent with previous empirical evidence (Bessembinder and Seguin, 1993; Ragunathan and Peker, 1997), a significantly negative relationship between open interest and price volatility can be found in copper (sub-sample 2), soybean and wheat futures markets 14 . Open interest is a good proxy for market depth because open interest reflects the current willingness of futures traders to risk their capital in the futures position, which indicates the level of market depth (Bessembinder and Seguin, 1993). A high level of open interest could help to create market conditions that would reduce pressure from prices when trading provides new information. The relationship between price volatility and 13 However, the positive relationship is not significant for wheat futures when we use residual-based price volatility, but it is significant for wheat futures when we use PVGKt and PVHLt. Please see footnote 10 and table 6. 14 It is not significant for wheat futures when we employ the residual-based price volatility, but it is significant for wheat futures when we employ PVGKt and PVHLt. Please see footnote 10 and table 6. 12 open interest would then be negative. That is, deeper markets (a high level of open interest) have relatively less price volatility. Low depth may make it more difficult for large trades to occur smoothly and may lessen the speed at which information is transmitted to the market. However, we cannot find a significant negative effect of open interest for copper (sub-sample 1) and aluminum futures. This fact means that the effectiveness of copper futures market improved during the second sub-sample period (1999-2002) and this is due to a regulatory adjustment to the futures market. The effectiveness of copper futures during 1996-1998 and of aluminum is not satisfactory. 4. Expected and Unexpected Trading Volume A significantly positive effect on price volatility for unexpected trading volume can be observed in all futures markets 15 , while the significant positive effect on price volatility for expected trading volume only exists for copper (sub-sample 1), soybean and wheat futures16 . As with Bessembinder and Seguin (1993), and Ragunathan and Peker (1997), the estimated coefficients associated with volume shocks are uniformly higher than those associated with expected volume in copper (sub-sample 2), aluminum, and soybean futures. This empirical evidence means that to some extent the effects of the different components of trading volume can be distinguished in China’s commodity futures (except for wheat futures) markets as they are in the mature futures markets of the West. Comparing the ratios of the unexpected volume coefficient to the expected volume coefficient between the two sub-samples of copper futures, we find that the ratio uniformly increases from 1.36 (0.83, 0.80) to 1.86 (2.00, 4.15) 17 . This fact provides support for the argument that the market effectiveness of copper futures improved during the second sub-sample period (1999-2002) due to the regulatory adjustment, since the importance of unexpected volume significantly increased in the copper (sub-sample 2) futures market. 5. Expected and Unexpected Open Interest A significantly negative effect on current price volatility for expected open interest can be observed in the copper (sub-sample 2) 18 , soybean 19 , and wheat 20 futures markets, while we can not find a 15 It is not significant for wheat futures when we employ the residual-based price volatility, but it is significant for wheat futures when we employ PVGKt and PVHLt. Please see footnote 10 and table 6. 16 It is not significant for soybean and wheat futures when we use residual-based price volatility, but it is significant for soybean and wheat futures when we use PVGKt and PVHLt. Please see footnote 10 and table 6. 17 The numbers in brackets are computed based on the results of robustness tests. 18 It is marginally significant at the ten percent level for copper (sub-sample 2) futures market when we use the residual-based price volatility. It is not significant for copper (sub-sample 2) futures market when we use PVHLt. 19 It is marginally significant at the ten percent level for soybean futures market when we use PVGKt. It is not significant for soybean futures market when we use PVHLt. 20 It is not significant for wheat futures when we use the residual-based price volatility, but it is significant for wheat futures when we use the PVGKt and PVHLt. Please see footnote 10 and table 6. 13 consistent 21 effect on price volatility for expected open interest in copper (sub-sample 1) and aluminum futures markets. Similarly, this fact means that the effectiveness of the copper futures market improved during the second sub-sample period (1999-2002), and the effectiveness of aluminum is not satisfactory. The consistent 22 significant effect on price volatility for unexpected open interest can not be observed for all samples. Table 5 The Determinants of Price Volatility based on Trading Volume and Open Interest (Dependent Variable: PVt) Copper (1996~2002) Copper 1 (1996~1998) Copper 2 (1999~2002) Determinants Coefficient Prob. Coefficient Prob. Coefficient Prob. s s s DEVOLUME 0.004824 0.0000*** 0.004795 0.0000*** 0.004571 0.0000*** DEOPIN -0.003907 0.0004*** -0.001330 0.2895 -0.006573 0.0006*** R2 0.264478 0.326087 0.225589 Observations 1685 715 949 EXVOL 0.003955 0.0000*** 0.003644 0.0001*** 0.002514 0.0842* UNEXVOL 0.004939 0.0000*** 0.004962 0.0000*** 0.004668 0.0000*** EXOPIN -0.002721 0.0382** -0.000477 0.7463 -0.003857 0.0654* UNEXOPIN -0.021476 0.0017*** -0.002950 0.7448 -0.047960 0.0000*** 0.271472 0.327862 0.257987 R2 Observations 1685 715 949 EXVOL 0.005797 0.0000*** 0.004766 0.0000*** 0.005336 0.0008*** UNEXVOL -0.000416 0.6098 0.000882 0.0532* -0.001581 0.2563 VOLDUMMY* UNEXVOL 0.010793 0.0000*** 0.008294 0.0000*** 0.012684 0.0000*** EXOPIN -0.002790 0.0219** -0.000567 0.6814 -0.003553 0.0363** UNEXOPIN -0.031907 0.0007*** -0.009372 0.3514 -0.063846 0.0002*** OPINDUMMY * UNEXOPIN 0.036242 0.0419** 0.020574 0.3708 0.056686 0.0316** 0.364094 0.379010 0.390625 R2 Observations 1685 715 949 Aluminum (1999~2002) Soybean (1999~2002) Wheat (2000~2002) Determinants Coefficient Prob. Coefficient Prob. Coefficient Prob. s s s DEVOLUME 0.000992 0.0000*** 0.002175 0.0035*** 0.000413 0.6780 DEOPIN -0.000376 0.6026 -0.004979 0.0020*** 0.002075 0.4168 R2 0.121330 0.072733 0.091157 Observations 939 943 673 EXVOL -0.000293 0.3323 0.001773 0.1573 0.001563 0.3550 UNEXVOL 0.001997 0.0000*** 0.002282 0.0355** 3.51E-05 0.9851 EXOPIN 0.001432 0.0773* -0.004347 0.0127** 0.001905 0.3748 UNEXOPIN -0.000355 0.9421 -0.019065 0.1061 -0.042817 0.0081*** 0.158202 0.075038 0.096722 R2 Observations 939 943 673 EXVOL -0.000285 0.3339 0.002454 0.0949* 0.002137 0.3055 21 Here “consistent” means that we find the variable has a significant (at the ten percent level) effect on at least two measures of price volatility. 22 Here “consistent” means that we find the variable has a significant (at the ten percent level) effect on at least two measures of price volatility. 14 UNEXVOL 0.000677 0.0356** -0.002585 0.3321 -0.006065 0.2185 VOLDUMMY* UNEXVOL 0.001896 0.0420** 0.009693 0.0065*** 0.011157 0.1034 EXOPIN 0.001677 0.0342** -0.005202 0.0070*** 0.001486 0.4045 UNEXOPIN -0.017657 0.0037*** -0.021433 0.3408 -0.053176 0.1085 OPINDUMMY * UNEXOPIN 0.056683 0.0007*** 0.019711 0.6197 0.024994 0.5946 0.205889 0.102672 0.103722 R2 Observations 939 943 673 The coefficients and significance of past price volatility (PVt-1 ~PVt-5), past unexpected return (UNEXR t-1~UNEXR t-5), seasonality (S1 ~S3), day effect (DAY1 ~DAY4), year effect (YEAR96 ~YEAR01), and time-to-maturity are not reported in this table, since they are control variables. These empirical results can be provided on request. ***, **, and * means significant at the one percent, five percent, and ten percent level, respectively. The Newey-West T-test is employed to test for statistical significance. 15 Table 6 Robustness Test (Dependent Variable: PVGKt and PVHLt) Copper (1996~2002) Copper 1 (1996~1998) Determinants PVGKt PVHLt PVGKt PVHLt Coefficient Coefficient Coefficient Coefficient s s s s DEVOLUME 0.001640* 1.89E-05* 0.001798* 2.34E-05* ** ** ** ** DEOPIN -0.000783 -7.87E-06 -0.000421 -9.48E-06 ** EXVOL 0.001583* 1.87E-05* 0.002098* 2.79E-05* ** ** ** ** UNEXVOL 0.001650* 1.89E-05* 0.001739* 2.24E-05* ** ** ** ** EXOPIN -0.000728 -7.05E-06 -0.000621 -1.21E-05 * UNEXOPIN -0.001307 -3.10E-05 -0.001591 -7.02E-05 EXVOL 0.001884* 2.36E-05* 0.002350* 3.28E-05* ** ** ** ** UNEXVOL 0.000610* 0.000771* 1.86E-06 6.06E-06* ** ** VOLDUMMY* 0.002192* 3.60E-05* 0.002083* 3.57E-05* UNEXVOL ** ** ** ** EXOPIN -0.000707 -6.87E-06 -0.000690 -1.37E-05 * UNEXOPIN 0.000208 -4.09E-06 0.001063 -1.11E-05 OPINDUMMY * UNEXOPIN -0.001063 -2.24E-05 -0.005049 -0.000120 Aluminum (1999~2002) Soybean (1999~2002) PVHLt PVGKt PVHLt Determinants PVGKt Coefficient Coefficient Coefficient Coefficient s s s s DEVOLUME 0.000549* 4.67E-06* 0.003187* 5.87E-05* ** * ** ** DEOPIN -0.00288* -6.0E-05** 0.000136 5.64E-06 ** * EXVOL 0.001699* 3.70E-05* ** * 4.46E-05 -7.21E-07 UNEXVOL 0.000931* 8.83E-06* 0.003621* 6.49E-05* ** * ** ** EXOPIN -0.001672 0.000713 1.22E-05 -3.66E-05 * UNEXOPIN -0.000387 0.003159 3.59E-05 -0.008536 * EXVOL 0.001978* 4.11E-05* ** ** 5.06E-05 -4.89E-07 UNEXVOL 0.002010* 2.41E-05* 0.000364* 1.80E-06 ** * VOLDUMMY* 0.003326* 7.96E-05* UNEXVOL 0.000815 1.18E-05 ** ** EXOPIN -0.002034 0.000812 1.32E-05 -4.23E-05* ** UNEXOPIN -0.004364 -3.06E-05 -0.005084 -0.000449 * 16 Copper 2 (1999~2002) PVGKt PVHLt Coefficient Coefficient s s 0.001436* 1.37E-05* ** ** -0.00191* -1.62E-05* ** 0.000755* * 3.59E-06 0.001512* 1.49E-05* ** ** -0.00172* -1.42E-05 ** -0.001763 -9.48E-06 0.001099* ** 8.62E-06 0.000387* -2.12E-06 * 0.002366* 3.57E-05* ** ** -0.001606 -1.23E-05 ** -0.001385 -1.16E-05 0.002910 6.28E-05 Wheat (2000~2002) PVGKt PVHLt Coefficient Coefficient s s 0.001757* 3.48E-05* ** ** -0.001588 -4.62E-05* ** * 0.001486* 3.60E-05* * * 0.001909* 3.53E-05* ** ** -0.001506 -4.58E-05* ** * -0.001691 0.001442* * -0.000239 3.49E-05* * -0.000106 0.003165* * -0.001297 * -0.028331 ** -6.15E-06 6.47E-05* -4.15E-05* -0.000794 ** OPINDUMMY * 0.024561* 0.000218* 0.048223* UNEXOPIN -0.003090 0.000269 0.001002* ** ** * The coefficients and significance of past price volatility (PVt-1 ~PVt-5), past unexpected return (UNEXR t-1~UNEXR t-5), seasonality (S1 ~S3), day effect (DAY1 ~DAY4), year effect (YEAR96 ~YEAR01), and time-to-maturity are not reported in this table, since they are control variables. These empirical results can be provided on request. ***, **, and * means significant at the one percent, five percent, and ten percent level, respectively. The Newey-West T-test is employed to test for statistical significance. 6. Asymmetrical Effects of Unexpected Trading Volume and Unexpected Open Interest The asymmetrical effect of unexpected trading volume on current price volatility is represented in the estimated coefficient of VOLDUMMYt* UNEXVOLt in model (12). We find consistent, very significant, and positive asymmetrical effect of unexpected trading volume on price volatility in copper (sub-sample 1), copper (sub-sample 2), and soybean futures markets. That is, the relationship between unexpected volume shocks and contemporaneous volatility is asymmetric, and positive volume shocks (actual volume > expected volume) are associated with higher levels of volatility than negative shocks (actual volume <expected volume). This empirical evidence is consistent with Bessembinder and Seguin (1993), and Ragunathan and Peker (1997). The asymmetrical effect of unexpected open interest on current price volatility is represented in the estimated coefficient of OPINDUMMYt* UNEXOPINt in model (12). We can find consistent, very significant, and positive asymmetrical effect of unexpected open interest on price volatility in aluminum futures market, but this effect can not be observed in other futures markets. 7. The Explanatory Ability of Trading Volume and Open Interest and Their Components to Price Volatility Table 7 summarizes the R2 of model (9)~(12) 23 . In general, we find that for the two most active products, that is, copper and soybean futures, the introduction of trading volume and open interest and their components can make the explanatory power of the model improve significantly. This fact implies that market depth is quite important as a determinant of price volatility. For the two relatively inactive products, that is, aluminum and wheat futures, the introduction of trading volume and open interest and their components are generally not significant. Table 7 The Explanatory Ability of Trading Volume and Open Interest and Their Price Volatility Model (9) Model (10) Model (11) Copper Residual-based price 0.063135 0.264478 0.271472 volatility PVGKt 0.178816 0.325934 0.326003 23 We reach the same conclusions for adjusted R2. 17 Components to Model (12) 0.364094 0.347238 PVHLt 0.086813 0.170739 0.171012 0.195197 Copper 1 Residual-based price 0.123727 0.326087 0.327862 0.379010 volatility PVGKt 0.206528 0.395223 0.396517 0.412919 0.115086 0.219194 0.221981 0.239185 PVHLt Copper 2 Residual-based price 0.045924 0.225589 0.257987 0.390625 volatility PVGKt 0.102865 0.226020 0.229233 0.258408 0.040229 0.097845 0.101823 0.136447 PVHLt Aluminum Residual-based price 0.090677 0.121330 0.158202 0.205889 volatility PVGKt 0.275251 0.297458 0.312253 0.331563 0.209652 0.221691 0.231053 0.242196 PVHLt Soybean Residual-based price 0.047906 0.072733 0.075038 0.102672 volatility PVGKt 0.106534 0.254640 0.265633 0.276893 0.113821 0.206206 0.217132 0.229865 PVHLt Wheat Residual-based price 0.089280 0.091157 0.096722 0.103722 volatility PVGKt 0.130783 0.171213 0.171715 0.187749 0.141277 0.165691 0.167068 0.175728 PVHLt Model (9) is based on control variables; model (10) is based on control variables + trading volume + open interest; Model (11) is based on control variables + expected trading volume + unexpected trading volume + expected open interest + unexpected open interest; model (11) is based on control variables + expected trading volume + unexpected trading volume + asymmetrical effect of unexpected trading volume + expected open interest + unexpected open interest + asymmetrical effect of unexpected open interest. The table shows the R-squares of the specific model. 8. An International Comparison of Empirical Results Table 8 lists the empirical results of several typical studies about the effect of trading volume and open interest and their components on price volatility. We then compare these Western results to the Chinese results of this study. From table 8 we find that as to the effect of trading volume and open interest and their components on price volatility, the response of China’s commodity futures markets is basically consistent with that of Western mature futures markets 24 , especially for the two active products, copper and soybean. The reason can be attributed to the internationalization of these two markets, and the high correlation for copper futures price changes between SHFE and LME, and for soybean futures price changes between DCE and CBOT. In addition, consistent with Watanabe (2001), we find that an effective change in regulation mechanism improves the price behaviors (this is shown by comparing the empirical results between copper (sub-sample 1) and copper (sub-sample 2) futures markets). 24 Please see the words with bold and italic version in table 8. 18 V. CONCLUSIONS AND POLICY IMPLICATIONS This paper systematically investigates the main determinants of price volatility in China’s commodity futures markets. Based on the empirical results, we find that: (1) There is a significant effect of past price volatility on current price volatility except for copper (sub-sample 2) futures; a significant effect of past unexpected return on current price volatility exists for copper (sub-sample 1) futures; a significant seasonality effect exists in aluminum futures market; a positive Monday effect exists in wheat futures; a year effect can be observed in copper (sub-sample 2) and wheat futures; a significantly positive time to maturity effect can be observed in all futures markets, which implies that when a futures contract approaches maturity, the related price volatility will decline accordingly. (2) There is a significant positive effect on price volatility for trading volume and unexpected trading volume in all four commodity futures markets. During 1999-2002, the effect of unexpected trading volume was higher than that of expected volume in the copper, aluminum, and soybean futures markets. (3) The significant negative effect of open interest and expected open interest on price volatility is observed in the copper, soybean, and wheat futures markets during 1999-2002, and we do not find any consistent and significant effect of unexpected open interest on price volatility in all futures markets. (4) The asymmetry effect of unexpected volume on price volatility mainly exists in copper and soybean futures markets, and the asymmetry effect of unexpected open interest on price volatility mainly exists in aluminum futures market. Based on the empirical results and the analysis of explanatory power and international comparison, we conclude that the copper futures market was more mature and effective during 1999-2002 than during 1996-1998, which implies that the measures taken by CSRC from the fourth quarter of 1998 played a very important and positive role in improving market maturity and effectiveness. During 1999-2002 two active trading futures, copper and soybean, were more mature and effective than the two relatively inactive trading futures, aluminum and wheat. We conclude that the basic status of China’s commodity futures markets was satisfactory during the recent years, since active transactions did not lead to over-speculation and market manipulation. On the other hand, the inactive traded futures products may face several problems. Thus, the regulatory authority needs to seriously consider ways to increase the transactions of China’s commodity futures markets. Initiatives could include the introduction of new futures products and the elimination of restrictions on investment. Table 8 An International Comparison of Empirical Results Bessembinder and Ragunathan and 19 Watanabe This Study Countries and Futures Products Sample Period (year, month) Seguin (1993) U.S. Mark, Yen, Gold, Silver, Cotton, Wheat, Treasury Bond, Treasury Bill 198205-199003 Peker (1997) Australia Treasury Bill, Treasury Bond, Stock Index (2001) Japan Nikkei 225 Stock Index 199201-199412 199008-199712 Two Sub-samples: China Copper, Aluminum, Soybean, Wheat Copper: 199008-199402 199601-200212 Two Sub-samples: 199402-199712 199601-199812 199901-200212 Aluminum: 199901-200212 Soybean: 199901-200212 Wheat: Trading Volume Expected Trading Volume + For All Samples except Treasury Bond and Cotton + For Treasury Bill No Significant Effect for Two Sub-samples Unexpected Trading Volume + For All Samples + For Second Sub-sample Comparison between the Coefficients of Expected and Unexpected Trading Volume Asymmetrical Effect of Unexpected Trading Volume Open Interest Unexpected Coef. > Expected Coef. for All Samples + For Stock Index, Treasury Bill, and Treasury Bond Unexpected Coef. > Expected Coef. for All Samples + For All Samples except Treasury Bill and Wheat No Significant Effect + For Second Sub-sample Expected Open Interest − For All Samples No Significant Effect − For Second Sub-sample 20 Unexpected Coef. > Expected Coef. for the Second Sub-sample 200001-200212 + For All Samples + For Copper (Sub-sample 1), Soybean and Wheat + For All Samples Unexpected Coef. > Expected Coef. for Copper (Sub-sample 2), Aluminum, and Soybean + For Copper (Two Sub-samples), and Soybean − For Copper (Sub-sample 2), Soybean and Wheat − For Copper (Sub-sample 2), Soybean and Wheat Unexpected Open Interest Asymmetrical Effect of Unexpected Open Interest − For All Samples except Treasury Bill, Gold, and Silver + For Yen, Cotton, Gold, and Silver − For Stock Index, Treasury Bonds No Significant Effect No Significant Effect No Significant Effect No Significant Effect + For Aluminum 21 REFERENCES Bessembinder, H. and Seguin, P. 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