Title: SHORT-RUN DENSITY FORECAST FOR ETHANOL AND MTBE PRICES
1SHORT-RUN DENSITY FORECAST FORETHANOL AND MTBE
PRICES
- Michael H. Lau
- Joe L. Outlaw
- James W. Richardson
- Brian K. Herbst
- Texas AM University
- Department of Agricultural Economics
- Agriculture as a Producer and Consumer Energy
Conference - Arlington, VA, June 24-25, 2004
2Introduction
- Rapidly increasing ethanol production.
- The National Energy Act exemption and the Clean
Air Act of 1990 aided ethanol growth. - Gallagher, et. al. (2003) and Lidderdale (2000)
looked at long run effects of renewable fuel
standards. - Ethanol price determined by wholesale gasoline
price and the excise tax exemption on blended
gasoline (Coltrain, 2001 CFDC, 2004 NDLC,
2001).
3Objectives and Methods
- Create short-run probabilistic (density)
forecasts for ethanol and MTBE prices for a
24-month period from October 2003 to September
2005. - Why probabilistic (density) forecasts?
- The results from this study will provide
interested parties an unbiased analysis and
forecast of ethanol and MTBE prices as production
and demand for ethanol continues to grow.
4Historical Ethanol and MTBE Price Nov. 1994 to
Sept. 2003
- Ethanol and MTBE prices are available from Harts
Oxy-Fuel News. Wholesale gasoline price is
available from the Energy Information Agency
(EIA) of the U.S. Department of Energy (DOE).
5Summary Statistics for Ethanol and MTBE Prices
Nov. 1993 to Sept. 2003
Ethanol Price MTBE Price Wholesale Gasoline Price
Mean 1.22 0.90 0.76
Standard Deviation 0.18 0.22 0.18
95 LCI 1.19 0.86 0.72
95 UCI 1.26 0.94 0.79
CV 14.88 24.20 23.27
Min 0.94 0.47 0.43
Median 1.20 0.87 0.73
Max 1.71 1.56 1.15
Autocorrelation Coefficient 0.92 0.86 0.93
Source Energy Information Agency, U.S. Department of Energy. Source Energy Information Agency, U.S. Department of Energy. Source Energy Information Agency, U.S. Department of Energy. Source Energy Information Agency, U.S. Department of Energy.
6Other Exogenous Variables Considered for
Forecasting
- Retail gasoline price, ethanol fuel demand,
gasoline production, diesel price, diesel
production, gasoline stock, diesel stock, oil
production, oil imports, oxygenated gasoline
production, reformulated gasoline production,
oxygenate stock, corn prices, and corn
production. - None were statistically significant and did not
improve the forecasting abilities of the VEC
model based on the mean absolute percent error
(MAPE)
7Augmented Dickey Fuller and Johansen
Co-integration Tests
Augmented Dickey Fuller Test for Stationarity. Augmented Dickey Fuller Test for Stationarity. Augmented Dickey Fuller Test for Stationarity.
Variable Levels First Difference
Ethanol Price -2.48 -4.98
MTBE Price -1.95 -10.12
Wholesale Gasoline Price -1.55 -9.93
Fail to reject "Ho Data series is non-stationary" at 1 significance level. Fail to reject "Ho Data series is non-stationary" at 1 significance level. Fail to reject "Ho Data series is non-stationary" at 1 significance level.
Reject "Ho Data is non-stationary at 1 significance level. Reject "Ho Data is non-stationary at 1 significance level. Reject "Ho Data is non-stationary at 1 significance level.
Johansen Unrestricted Co-integration Rank Test Johansen Unrestricted Co-integration Rank Test Johansen Unrestricted Co-integration Rank Test Johansen Unrestricted Co-integration Rank Test
Hypothesized Trace 5 Percent 1 Percent
No. of CE(s) Eigenvalue Statistic Critical Value Critical Value
None 0.16 22.37 15.41 20.04
At most 1 0.04 4.10 3.76 6.65
() denotes rejection of the hypothesis at the 5(1) level () denotes rejection of the hypothesis at the 5(1) level () denotes rejection of the hypothesis at the 5(1) level () denotes rejection of the hypothesis at the 5(1) level
Trace test indicates 2 co-integrating equation(s) at the 5 level Trace test indicates 2 co-integrating equation(s) at the 5 level Trace test indicates 2 co-integrating equation(s) at the 5 level Trace test indicates 2 co-integrating equation(s) at the 5 level Trace test indicates 2 co-integrating equation(s) at the 5 level
Trace test indicates 1 co-integrating equation(s) at the 1 level Trace test indicates 1 co-integrating equation(s) at the 1 level Trace test indicates 1 co-integrating equation(s) at the 1 level Trace test indicates 1 co-integrating equation(s) at the 1 level Trace test indicates 1 co-integrating equation(s) at the 1 level
8Ethanol and MTBE Price VEC Equations
Out of Sample MTBE Price MAPE 6
MTBE Price Coefficient Std. Error T-Statistic Prob.
MTBE Pricet-2 -0.3055 0.0714 -4.2808 0.0000
MTBE Pricet-4 -0.2914 0.0764 -3.8146 0.0002
Ethanol Pricet-3 0.3147 0.1046 3.0069 0.0030
Wholesale Gasoline Pricet 1.2086 0.1202 10.0575 0.0000
R-squared 0.5822 Durbin-Watson Statistic Durbin-Watson Statistic 1.9232
Out of Sample Ethanol Price MAPE 8.6
Ethanol Price Coefficient Std. Error T-Statistic Prob.
Co-Integrating Eq.t-1 0.1953 0.0353 5.5356 0.0000
MTBE Pricet-2 -0.1799 0.0566 -3.1809 0.0017
MTBE Pricet-3 -0.2191 0.0519 -4.2185 0.0000
Ethanol Pricet-1 0.3489 0.0775 4.5018 0.0000
Ethanol Pricet-2 -0.1925 0.0839 -2.2950 0.0228
Ethanol Pricet-3 0.3242 0.0802 4.0449 0.0001
Ethanol Pricet-4 -0.2181 0.0744 -2.9321 0.0038
Constant -1.1591 0.4367 -2.6540 0.0086
Wholesale Gasoline Pricet 0.4011 0.0808 4.9664 0.0000
Subsidyt 2.1642 0.8150 2.6555 0.0086
R-squared 0.5786 Durbin-Watson Statistic Durbin-Watson Statistic 1.8606
9Ethanol and MTBE Price Forecasts Oct. 2003 to
Sept. 2005
Out of Sample Forecast Period
Historical Prices
Forecasted Prices
10Simulation Summary Statistics Ethanol and MTBE
Prices Oct. 2003 to Sept. 2005
Ethanol Price Mean St. Dev. C.V. Minimum Maximum MTBE Price Mean St. Dev. C.V. Minimum Maximum
Oct-03 1.37 0.05 3.60 1.19 1.52 Oct-03 1.15 0.09 7.41 0.90 1.38
Nov-03 1.26 0.05 3.90 1.10 1.40 Nov-03 1.09 0.08 7.36 0.84 1.30
Dec-03 1.25 0.05 3.91 1.11 1.42 Dec-03 1.10 0.08 7.44 0.86 1.32
Jan-04 1.33 0.05 3.70 1.18 1.47 Jan-04 1.22 0.09 7.42 0.94 1.45
Feb-04 1.37 0.05 3.61 1.22 1.53 Feb-04 1.28 0.09 7.43 0.99 1.53
Mar-04 1.42 0.05 3.45 1.28 1.56 Mar-04 1.37 0.10 7.40 1.06 1.63
Apr-04 1.48 0.05 3.32 1.33 1.62 Apr-04 1.47 0.11 7.43 1.15 1.76
May-04 1.48 0.05 3.34 1.32 1.66 May-04 1.37 0.10 7.40 1.06 1.64
Jun-04 1.42 0.05 3.44 1.27 1.58 Jun-04 1.25 0.09 7.41 0.97 1.50
Jul-04 1.39 0.05 3.52 1.24 1.54 Jul-04 1.20 0.09 7.36 0.93 1.43
Aug-04 1.43 0.05 3.42 1.29 1.58 Aug-04 1.26 0.09 7.43 0.98 1.50
Sep-04 1.47 0.05 3.34 1.33 1.64 Sep-04 1.27 0.09 7.40 0.98 1.51
Oct-04 1.43 0.05 3.43 1.28 1.61 Oct-04 1.15 0.09 7.42 0.89 1.37
Nov-04 1.39 0.05 3.56 1.18 1.55 Nov-04 1.15 0.09 7.41 0.89 1.38
Dec-04 1.38 0.05 3.53 1.24 1.54 Dec-04 1.13 0.08 7.43 0.88 1.35
Jan-05 1.36 0.05 3.62 1.17 1.52 Jan-05 1.15 0.09 7.41 0.89 1.37
Feb-05 1.34 0.05 3.66 1.20 1.49 Feb-05 1.21 0.09 7.40 0.94 1.44
Mar-05 1.34 0.05 3.62 1.21 1.49 Mar-05 1.25 0.09 7.42 0.97 1.49
Apr-05 1.35 0.05 3.65 1.19 1.50 Apr-05 1.31 0.10 7.42 1.02 1.56
May-05 1.32 0.05 3.71 1.18 1.46 May-05 1.26 0.09 7.43 0.98 1.50
Jun-05 1.28 0.05 3.83 1.14 1.44 Jun-05 1.18 0.09 7.36 0.92 1.41
Jul-05 1.23 0.05 3.99 1.08 1.38 Jul-05 1.08 0.08 7.39 0.84 1.29
Aug-05 1.23 0.05 4.02 1.04 1.39 Aug-05 1.12 0.08 7.39 0.87 1.34
Sep-05 1.26 0.05 3.87 1.11 1.41 Sep-05 1.18 0.09 7.38 0.92 1.41
11PDF Graphs for Ethanol and MTBE Prices Jan. 2004
and July 2005
12Fan Graph for Ethanol Price Oct. 2003 to Sept.
2005
13Fan Graph for MTBE Price Oct. 2003 to Sept. 2005
14Conclusions and Questions
- VEC is successfully for forecasting Ethanol and
MTBE Prices from Oct. 2003 to Sept. 2005. - Simulation is beneficial for predicting density
forecasts of ethanol and MTBE prices. - Limitations of Study
- Dependent on forecasted values of wholesale
gasoline price. - Perpetual forecast should be used where the
coefficients are updated as realized prices occur
for ethanol, MTBE, and wholesale gasoline.