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184 Evolutie uitgaven Evolution dépenses appendices <strong>KCE</strong> reports vol. 15 Voorbeeld 1 125 120 115 110 105 100 95 90 Voorbeeld 2 125 120 115 110 105 100 95 90 V FP FQ INDICES (1) 200t 200t+1 200t+2 200t+3 200t+4 V FP FQ INDICES (2) 200t 200t+1 200t+2 200t+3 200t+4
<strong>KCE</strong> reports vol. 15 Evolutie uitgaven Evolution dépenses appendices 185 5.2. BIJLAGE 2: INSTITUTIONELE EFFECTEN EN ELASTICITEIT (1)Stel : De monetaire waarde V voor een uitgavenpost blijft ongewijzigd tussen jaar 1 en 2. Enkel de definitie van geval Q wijzigt, wat ook een impact heeft op de afgeleide prijswaarde P met P = V/Q. V1 = P1 * Q1 V2 = P2 * Q2 V1 = V2 (2) Stel : De groeivoeten van ÿ P en ÿ Q zijn respectievelijk x en y tussen jaar 1 en 2. P2 = P1*(1+x) Q2 = Q1*(1+y) (3) Uit en (1) en (2) volgt P1*Q1= P1*(1+x)*Q1*(1+y) 1+x = 1/(1+y) x = -y/(1+y) en y = -x/(1+x) (4) Uit (2) en (3) volgt P2/P1 = 1 y/(1+y) (5) Stel : p q = (Q/Q) / (P/P) p q = (Q2 Q1)/Q1 / (P2 P1) / P1 (6) Uit (5) en (2) volgt p q = (Q1*(1+y) Q1)/Q1 / (P1*(1+x) P1) / P1 p q = y/x (7) Uit (6) en (3) volgt p q = -x/(1+x) p q = -(1+y)
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