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1 A Recursive Dynamic Computable General Equilibrium Model For ...

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COMPLEMENTARITY<br />

(Variable = STOCKS, Lower_Bound = LOWER, Upper_Bound = CEILING) (17)<br />

E_c_STOCKS (all,c,EXPSET)(ALL,s,DOMES) P0COM(c) - PINT(c,s) ;<br />

where the intervention price is an (exogenous) policy controlled variable, PINT. Thus,<br />

given knowledge of the ratio between the intervention price and the domestic Spanish<br />

price, one knows how far P0COM has to fall in order to trigger stock purchases. <strong>For</strong><br />

example, if P0COM has a normalised value of 1, and we know that the ratio P0COM /<br />

PINT is 1.002, PINT is therefore calculated as 0.998. In the equation, if P0COM – PINT is<br />

greater than zero (i.e., P0COM > PINT), then STOCKS are zero. If P0COM – PINT<br />

equals zero, then stocks are triggered (i.e., STOCKS > zero). If stocks reach their upper<br />

bound (denoted by CEILING which equals 2% of total commodity supply), then P0COM<br />

– PINT is less than zero. The intuition in the final state is that stock purchases are not<br />

indefinite and will ultimately cease, thereby allowing the market price to fall below the<br />

intervention price.<br />

To model intervention price reductions, the variable PINT is exogenously reduced by<br />

the relevant percentage to lower the stock triggering point. Moreover, to capture the<br />

reduction in effective protection afforded to Spainish producers from intervention price<br />

reductions, in the non-EU (lower Armington) import demand function, (exogenous)<br />

import prices are reduced. In addition, with reference to the export demand function<br />

below:<br />

X<br />

= F<br />

⎡ P ⎤ c,<br />

s<br />

⎢ ⎥<br />

⎢⎣<br />

WPc<br />

, s.<br />

ER⎥⎦<br />

−σ<br />

c,<br />

s c,<br />

s<br />

(18)<br />

Xc,s is export demand by destination ‘s’ for commodity ‘c’, Pc,s is the corresponding price in<br />

local currency units, WP is the world price (modelled as an exogenous price shifter), ER is<br />

the exogenous exchange rate, Fc,s is an exogenous quantity shifter variable and σ is the<br />

export demand elasticity. Thus, on the export side, intervention price reductions are<br />

imposed by a negative shock on F (the magnitude of this shock is calculated by knowledge<br />

of the intervention price fall and the export demand elasticity). Similarly, world price<br />

changes can be exogenously imposed on the variable WP. Thus, a reduction in world prices<br />

for commodity ‘c’ to destination ‘s=non-EU’ will, ceteris paribus, reduce demand for<br />

Spanish extra-EU exports of commodity ‘c’.<br />

5.7 The farm household<br />

As a useful summary statistic to policy makers, further equations are inserted into the<br />

ORANI-DYN model code to calculate farming income changes. More specifically, farm<br />

32

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