Table 1.
Variables used in models
| Variable | Description | Source |
|---|---|---|
| wheat_pln | Purchase price of wheat (PLN/t) | CSO in Poland |
| corn_pln | Purchase price of corn (PLN/t) | CSO in Poland |
| rapeseed_pln | Purchase price of rapeseed (PLN/t) | Ministry of Agriculture |
| wheat_crop | Wheat harvest volume in Poland (annual data) | Eurostat |
| corn_crop | Corn harvest volume in Poland (annual data) | Eurostat |
| rapeseed_crop | Rapeseed harvest volume in Poland (annual data) | Eurostat |
| wheat_eur_f | Wheat futures price at the end of the month (EUR/t) | Euronext |
| corn_eur_f | Corn futures price at the end of the month (EUR/t) | Euronext |
| rapeseed_eur_f | Rapeseed futures price at the end of the month (EUR/t) | Euronext |
| eurpln | EUR/PLN exchange rate at the end of the month | NBP |
| eurpln_sd | Standard deviation of the EUR/PLN exchange rate in each month calculated from daily quotations | Own calculations, NBP |
| freight | Sea freight price index on the European grain market at the end of the month (2013 = 100) | Own calculations, IGC* |
Table 2.
Error correction models
| Wheat | Corn | Rapeseed | |
|---|---|---|---|
| eurpln | 0.665*** (0.237) | 0.948* (0.529) | 0.898*** (0.260) |
| wheat_eur_f | 1.05*** (0.040) | ||
| corn_eur_f | 0.922*** (0.091) | ||
| rapeseed_eur_f | 0.946*** (0.43) | ||
| cons | 0.157 (0.226) | 0.347 (0.474) | 0.487* (0.250 |
| EC term (t – 1) | –0.245** (0.079) | –0.530*** (0.0876) | –0.511*** (0.0723) |
| Δ eurpln (t – 1) | 0.488 (0.248) | –1.510** (0.568) | –0.265 (0.213) |
| Δ wheat_pl (t – 1) | 0.217* (0.098) | ||
| Δ wheat_eur_f (t – 1) | 0.211* (0.101) | ||
| Δ corn_pl (t – 1) | 0.417*** (0.093) | ||
| Δ corn_eur_f (t – 1) | 0.085 (0.186) | ||
| Δ rapeseed_pl (t – 1) | 0.218** (0.071) | ||
| Δ rapeseed_eur_f (t – 1) | 0.008 (0.10) | ||
| Cons | 0.001 (0.004) | 0.002 (0.009) | 0.002 (0.003) |
| R2 | 0.401 104 | 0.380 104 | 0.604 104 |
| N | 104 | 104 | 104 |
Table 3.
The reaction function of wheat prices in Poland (PLN) to changes in the price of futures contracts for wheat (in EUR)
| Month | ||||||||
|---|---|---|---|---|---|---|---|---|
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | ||
| Wheat | Δ wheat_pl (t – 1) | 0.262*** (0.080) | 0.437*** (0.122) | 0.500*** (0.155) | 0.415** (0.188) | 0.324 (0.201) | 0.431* (0.218) | 0.426* (0.238) |
| Δ wheat_eur_f | 0.494*** (0.053) | 0.869*** (0.081) | 0.999*** (0.102) | 1.090*** (0.125) | 1.142*** (0.131) | 1.195*** (0.139) | 1.101*** (0.144) | |
| Δ wheat_eur_f (t – 1) | 0.253*** (0.067) | 0.322*** (0.101) | 0.402*** (0.133) | 0.545*** (0.158) | 0.637*** (0.167) | 0.503*** (0.177) | 0.583*** (0.189) | |
| Δ eurpln | –0.020 (0.171) | 0.375 (0.273) | 0.569 (0.362) | 0.845* (0.431) | 0.748 (0.464) | 1.035** (0.504) | 1.000* (0.529) | |
| Δ eurpln (t – 1) | 0.333* (0.179) | 0.580** (0.277) | 0.868** (0.353) | 0.697 (0.426) | 0.858* (0.458) | 0.903* (0.481) | 0.792 (0.502) | |
| Corn | Δ corn_pl (t – 1) | –0.018 (0.112) | –0.215 (0.149) | –0.181 (0.168) | –0.156 (0.188) | –0.163 (0.208) | –0.318 (0.226) | –0.293 (0.233) |
| Δ corn_eur_f | 0.228 (0.153) | 0.331 (0.210) | 0.742*** (0.239) | 0.837*** (0.269) | 1.014*** (0.292) | 1.061*** (0.320) | 0.988*** (0.338) | |
| Δ corn_eur_f (t – 1) | 0.157 (0.154) | 0.618*** (0.207) | 0.695*** (0.239) | 0.885*** (0.263) | 0.946*** (0.300) | 0.886*** (0.324) | 0.931*** (0.333) | |
| Δ eurpln | 0.839* (0.458) | 0.431 (0.650) | 0.789 (0.771) | 0.508 (0.864) | 0.754 (0.973) | 1.883* (1.045) | 2.641** (1.074) | |
| Δ eurpln (t – 1) | –0.169 (0.479) | 0.358 (0.665) | 0.286 (0.754) | 0.232 (0.862) | 0.950 (0.954) | 2.165** (0.998) | 1.011 (1.062) | |
| Rapeseed | Δ rapeseed_pl (t – 1) | 0.172** (0.082) | –0.017 (0.111) | –0.033 (0.115) | 0.152 (0.131) | 0.248* (0.143) | 0.347** (0.158) | 0.343* (0.181) |
| Δ rapeseed_eur_f | 0.318*** (0.070) | 0.706*** (0.101) | 1.037*** (0.104) | 1.070*** (0.117) | 0.864*** (0.126) | 0.979*** (0.136) | 1.041*** (0.144) | |
| Δ rapeseed_eur_f (t – 1) | 0.412*** (0.081) | 0.826*** (0.108) | 0.846*** (0.116) | 0.677*** (0.127) | 0.704*** (0.135) | 0.744*** (0.149) | 0.831*** (0.156) | |
| Δ eurpln | 0.263 (0.213) | 0.377 (0.296) | 0.538* (0.317) | 0.881** (0.341) | 1.304*** (0.367) | 1.484*** (0.414) | 1.396*** (0.442) | |
| Δ eurpln (t – 1) | –0.078 (0.223) | 0.164 (0.304) | 0.458 (0.315) | 0.578 (0.350) | 0.910** (0.375) | 0.788* (0.406) | 0.812* (0.428) | |
Table 4.
Wheat: the reaction function to changes in the price of futures contracts for wheat, corn, and rapeseed (EUR) depending on the level and volatility of the EUR/PLN exchange rate
| Month | ||||||||
|---|---|---|---|---|---|---|---|---|
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | ||
| Wheat | Appreciation | 0.630*** (0.187) | 0.922*** (0.326) | 1.078** (0.528) | 1.340* (0.720) | 1.278 (0.879) | 1.267 (1.042) | 1.386 (1.212) |
| Depreciation | 0.823*** (0.114) | 1.379*** (0.200) | 1.467*** (0.324) | 1.485*** (0.444) | 1.652*** (0.561) | 1.601** (0.672) | 1.816** (0.786) | |
| Difference | 0.455 | 0.309 | 0.594 | 0.884 | 0.760 | 0.819 | 0.801 | |
| Low Vol. | 0.570*** (0.154) | 1.134*** (0.264) | 1.405*** (0.421) | 1.716*** (0.580) | 1.886*** (0.710) | 1.824** (0.841) | 1.612* (0.963) | |
| High Vol. | 0.968*** (0.154) | 1.442*** (0.264) | 1.512*** (0.424) | 1.467** (0.581) | 1.565** (0.709) | 1.622* (0.833) | 2.375** (0.961) | |
| Diff (t-test) | 0.139 | 0.502 | 0.885 | 0.806 | 0.794 | 0.889 | 0.647 | |
| Corn | Appreciation | –0.192 (0.528) | –0.474 (0.703) | 0.746 (0.836) | 1.768* (0.999) | 1.618 (1.135) | 0.910 (1.289) | 1.500 (1.394) |
| Depreciation | 0.675** (0.318) | 1.847*** (0.427) | 1.934*** (0.520) | 1.877** (0.622) | 2.571*** (0.720) | 3.100*** (0.816) | 3.126*** (0.905) | |
| Difference | 0.234 | 0.018 | 0.310 | 0.938 | 0.550 | 0.228 | 0.408 | |
| Low Vol | –0.370 (0.466) | –0.247 (0.627) | 1.245* (0.747) | 1.800** (0.877) | 2.379** (1.008) | 3.551*** (1.142) | 3.542*** (1.232) | |
| High Vol. | 1.008*** (0.376) | 2.073*** (0.516) | 1.983*** (0.639) | 2.244*** (0.746) | 2.552*** (0.849) | 1.894* (0.968) | 2.390** (1.058) | |
| Diff (t-test) | 0.060* | 0.021** | 0.541 | 0.753 | 0.914 | 0.367 | 0.560 | |
| Rapeseed | Appreciation | 0.498 (0.311) | 0.720 (0.441) | 0.804 (0.625) | 0.526 (0.920) | 0.342 (1.206) | 0.067 (1.391) | –0.122 (1.563) |
| Depreciation | 0.782*** (0.124) | 1.789*** (0.175) | 2.340*** (0.249) | 2.403*** (0.366) | 2.449*** (0.491) | 2.710*** (0.568) | 3.078*** (0.642) | |
| Difference | 0.456 | 0.050 | 0.047 | 0.097 | 0.152 | 0.119 | 0.094 | |
| Low Vol. | 0.810*** (0.203) | 1.621*** (0.286) | 1.735*** (0.403) | 1.727*** (0.573) | 1.563** (0.755) | 1.471* (0.865) | 1.103 (0.942) | |
| High Vol. | 0.701*** (0.170) | 1.594*** (0.246) | 2.343*** (0.348) | 2.422*** (0.493) | 2.570*** (0.638) | 2.974*** (0.729) | 3.794*** (0.802) | |
| Diff (t-test) | 0.738 | 0.954 | 0.357 | 0.457 | 0.405 | 0.277 | 0.077 | |
