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Incidence of ad valorem taxes © Allen C. Goodman 2014
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Consider Demand and Supply Supply Ps = a + b Qs; b > 0 Demand Pd = c + d Qd; d < 0 If we set Ps = Pd, then Price Quantity c a Demand Supply Q*
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DW TAX Suppose there is an ad valorem tax Tax parameter is , so if there is a 10% tax, = (1+tax) = (1+0.10) = 1.1 Impose on Supplier Supply – Why? Ps´= a + b Qs Demand Pd = c + d Qd If we set Ps´ = Pd, then Price Quantity c a Demand Supply Q*Q** aαaα
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TAX DW Suppose there is an ad valorem tax Tax is , so if there is a 10% tax, = 1.1 Impose on Demander Supply Ps = a + b Qs Demand Pd´ = (c/ ) + (d / ) Qd If we set Ps = Pd´, then Price Quantity c a Demand Supply Q*Q*** c/α
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Does Q** always equal Q*** At least with linear supply and demand curves, yes! Example
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If Q** = Q*** Incidence (producers, consumers) is always the same. DW Loss is always the same!
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