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Ch 17 - V2 (Who Pays the Tax)

Apr 30, 2025

Tax Incidence and Economic Implications

Key Concepts

  • Tax Incidence

    • Refers to how the burden of a tax is divided between consumers and producers.
    • Economic incidence is independent of the legal incidence (who the law states must pay).
  • Economic vs. Legal Incidence

    • Economic incidence: Who actually ends up paying the tax.
    • Legal incidence: Who is legally obliged to pay the tax.

Effects of Taxation

  • When a tax is imposed:

    • Consumers may pay more for products.
    • Producers may receive less for their products.
    • Overall, the market adjusts to distribute the tax burden.
  • Example:

    • If consumers paid $20 pre-tax and $25 post-tax, they bear $5 of the tax.
    • If the tax was $10, the burden is split equally between consumers and producers.

Deadweight Loss

  • Excess Burden of Taxation
    • Deadweight loss arises from taxes because they prevent mutually beneficial trades.
    • Tax revenue = Tax Rate × Quantity with tax.
    • Deadweight loss = Consumer and producer surplus lost.

Elasticity and Tax Burden

  • Elasticity Impact

    • Elasticity affects how tax burdens are split between consumers and producers.
    • "Elasticity equals escape": More elastic = less tax burden.
  • Demand and Supply Elasticity

    • If demand is less elastic than supply, consumers bear more of the tax.
    • If supply is less elastic than demand, producers bear more of the tax.

Calculating Tax Shares

  • Formulas
    • Consumer share = Elasticity of Supply / (Elasticity of Supply - Elasticity of Demand)
    • Producer share = - Elasticity of Demand / (Elasticity of Supply - Elasticity of Demand)

Example Calculation

  • Given Values

    • Elasticity of Supply: 0.8 (inelastic)
    • Elasticity of Demand: -1.2 (elastic)
    • Tax: $10
  • Tax Share Results

    • Consumers pay 40% of the tax: $4 increase in price for consumers.
    • Producers pay 60% of the tax: $6 decrease in earnings for producers.
  • Calculation Steps

    • Consumer Share: 0.8 / (0.8 - (-1.2)) = 40%
    • Producer Share: (-(-1.2)) / (0.8 - (-1.2)) = 60%

These calculations demonstrate how different elasticities influence the distribution of tax burdens between consumers and producers.