Error Correction Models The Price Transmission in Rice Market Chain in Indonesia

Note: PP = Producer price IDRkg MP = Rice miller price IDRkg WP = Wholesaler price IDRkg RP = Retailer price IDRkg α = the coefficient of Error Correction Model = the coefficient of dynamic short-run θ = the slope of long-run equilibrium c = the constanta V RESULTS AND DISCUSSION

5.1 Rice Price Volatilities

The price volatilities in each market institutions are shown by standard deviation of return in the Table 3. Producer price has the highest price volatility by 24,90. Whilst, rice miller price and wholesaler price have lower volatilities than producer price by 18,30 and 18,10, respectively. The retailer price has the lowest volatility by 8,7. This result shows that the magnitudes of the price volatility from producer to consumer are decreasing. Farmers in production market face very high volatility of producer price, meanwhile consumers receive stable price. This unbalance condition is not good for farmers and the market efficiency. Table 3 The price volatilities of producer, rice miller, wholesaler, and retailer Variable PP MP WP RP Period SD SD SD SD 2000-2012 0,249 - 0,183 - 0,181 - 0,087 - 2000-2006 0,279 - 0,165 - 0,188 - 0,089 - 2007-2012 0,207 25,96 0,205 24,19 0,173 -8,34 0,084 -5,43 Note: Asterisk sign indicates reject Ho: there is no difference between two variances H o : σ 2 1 ≤ σ 2 2 , at 95 level of significant The high volatility of producer price is reasonable due to the price gap of seasonal prices. The rice price at producer level in the harvest time is low because the abundant of rice supply in the market. On the contrary, the rice price is high in non-harvest time when the supply is shortage. The gap production is too big between main harvest in February-March which produces 60-65 of total production and the other two harvest time which produce 25-30 and 5-15 of total production. The capacity of Bulog, which only can purchase 7-8 of total production cannot balance rice price for along the year. The government instrument to purchase the excess of supply in harvest time cannot dampen the volatility of seasonal rice price completely. This is the source of rice price volatility problem. The volatilities of rice miller price and wholesaler price are lower than the volatility of producer price. Since rice miller and wholesaler have ability to hold the stock for short time and wait for the better price to release it. They also get the advantages from access to the market information. Whereas the retailer has the smallest price volatility at 8,70. It means that consumers face relatively stable rice price along the year. The rice price stabilization policy through market operation is successful to provide stable price for people along the year. This study also compares the rice price volatilities between before crisis period in 2000-2006 and during crisis period in 2007-2012. We test the significance of differences in variances using F-test. We want to confirm the expectation that the price volatility during crisis period is less than before due to the government intervention to control the price in this period H1: σ 1 2 σ 2 2 . The result shows only producer price which significantly has price volatility less than before crisis see Appendix 1. The decrease of producer price volatility is supported by the good production in this time and it is related to the enforcement of government purchasing price from 2007 until now. Meanwhile, the volatility changes of rice miller price, wholesaler price and the retailer price are not significantly different. This confirms that there are no shocks of rice prices in the crisis period in Indonesian market in 2007-2012. The rice prices are relatively stable like before crisis for rice miller, wholesaler, and retailer.

5.2 Rice Price Transmission and Market Integration

5.2.1 Unit Root Test

The first step to examine the market integration is that we have to confirm that the data series are stationary to avoid the spurious regression in the models. The Table 4 shows the result of Unit Root test to test the stationary of variables. On the level for all variables, there are insufficient evidences to reject the null hypothesis of non-stationary. Whereas at the first differenced series, there are strong evidences to reject the null hypothesis of non-stationary. This indicates that all price series are I1. Table 4 Unit Root test result Variables t-statistic Error of Model t-statistic Producer Producer-Rice miller Level 2 2.1271 u1 in level 0 -6.9459 Differences 1 -11.7015 Producer-Wholesaler Rice miller u2 in level 0 -4.2549 Level 10 5.8841 Producer-Retailer Differences 1 -12.2466 u3 in level 2 -2.9671 Wholesaler Rice miller-Wholesaler Level 0 1.7797 u4 in level 0 -3.8677 Differences 0 -10.1124 Rice miller-Retailer Retailer u5 in level 2 -2.4995 Level 2 4.6505 Wholesaler-Retailer Differences 1 -7.7232 u6 in level 0 -3.8611 Note: the number in parentheses indicates the lag length. One , two , and three asterisks indicate rejection of unit root at 10, 5, and 1 level of significance, respectively. Critical values for 10 = -1,62; 5 = -1,94; and 1 = -2,56. Reference: Davidson, R. and MacKinnon, J. 1993,Estimation and Inference in Econometrics p 708, table 20.1, Oxford University Press, London Beside the stationary test for series price data, we have to confirm the stationary of the errors in the pair wise models. They are the errors of Producer- Rice miller, Producer-Wholesaler, Producer-Retailer, Rice miller-Wholesaler, Rice miller-Retailer, and Wholesaler-Retailer. Table 4 shows there are strong evidences to reject the null hypothesis of non stationary for the errors on level for all models. It means all errors are I0. Therefore, we conclude that all variable are stationary and valid to use. This also means that each pair wise models are cointegrated.