Taxes & Subsidy

Learning Outcomes

  • Understand how government taxes and subsidies change market prices and quantities.

Keywords/Points

  • Taxes: Government takes money from individuals/firms.

  • Subsidies: Government gives money to individuals/firms.

  • Excise Tax: Tax on specific goods (e.g., cigarettes).

  • Supply Curve (SS): Shows how much sellers offer at different prices.

  • Demand Curve (DD): Shows how much buyers want at different prices.

  • Equilibrium: Where supply equals demand (stable price and quantity).

Taxes

  • What is a Tax?

    • A mandatory payment to the government from individuals or businesses.

    • Used to fund public services or influence behavior.

  • Type: Excise Tax

    • A specific tax on the production or sale of certain goods.

    • Purpose: Often used to discourage consumption (e.g., alcohol, tobacco) or generate revenue.

Excise Tax: How it Works

  • Effect on Sellers (Supply):

    • When an excise (unit) tax is placed on sellers, it's like an extra cost for each unit they sell.

    • Example: If a shirt costs 10 to make, and there's a 1 tax, the seller now effectively needs 11 to cover costs and maintain profit.

    • This increases their cost of production.

    • Key Impact: The Supply Curve (SS) shifts UPWARDS by the exact amount of the tax.

      • Why? Sellers now require a higher price for the same quantity to cover the tax cost. Or, they will sell less at the old price.

    • Calculation Example: If a 0.50 unit tax is imposed and 100 units are sold, the seller pays 100 \times 0.50 = 50 to the government.

  • Overall Market Impact:

    1. Supply Decreases: The SS curve shifts up/left.

    2. Equilibrium Changes:

      • Price for Buyers (P_C): Increases. Buyers pay more.

      • Quantity Traded (Q): Decreases. Less of the good is bought/sold.

      • Price for Sellers (P_S): The amount sellers keep after paying the tax decreases.

    • Resource Allocation: Less resources are used to produce the taxed good.

  • Example: Unit tax of $0.50 is imposed

  • To produce the same quantity as before, sellers must receive $3.50 to cover the extra cost

  • This applies at every output level

  • The supply curve shifts upward by the tax amount ($0.50)

  • The vertical distance between old and new supply curves = size of the excise tax

Effect of excise tax on market for alcohol
  • Original equilibrium: Price = $3, Quantity = 1000

  • Unit tax of $0.50 shifts supply curve upward by $0.50

  • New equilibrium: Price = $3.30, Quantity = 700

  • Fewer resources allocated to alcohol production

  • Both buyers and sellers are negatively affected

  • Buyers pay a higher price after tax

  • Sellers receive a lower price after paying tax to the government

Simplified Impact of Excise Tax

Feature

Before Tax

After Tax

Explanation

Supply Curve

Original SS

Shifts UP by tax amount

Higher production cost for sellers

Price (Consumers)

Lower

Higher

Sellers pass on some of the tax cost

Price (Sellers)*

Higher

Lower (after paying tax to gov)

Sellers receive less net income per unit

Quantity Traded

Higher

Lower

Higher price reduces demand, lower net profit reduces supply

Resources

More

Less allocated to this good

Decreased production means fewer resources used

Price sellers receive = Price consumers pay - Tax

Practice Question 1:
A government imposes a 1 tax on each pack of cigarettes, levied on sellers. Explain two ways this tax affects the cigarette market

Subsidy

  • Definition: A subsidy is a financial grant or support provided by the government to individuals or firms.

  • Purpose: To encourage specific behaviors, production, or consumption (e.g., farming, green energy).

Subsidy to Firms (Producers)

  • Effect on Sellers (Supply):

    • When a unit subsidy is given to firms, it's like a reduction in their cost for each unit sold, or an extra income per unit.

    • Example: If a farmer produces corn, and the government gives them 0.20 for each bushel, their effective cost is lower, or their revenue is higher.

    • This decreases their cost of production (or increases profitability).

    • Key Impact: The Supply Curve (SS) shifts DOWNWARDS by the exact amount of the subsidy.

      • Why? Sellers are now willing to sell the same quantity at a lower market price because they get additional income from the government, or they will sell more at the old price.

  • Overall Market Impact:

    1. Supply Increases: The SS curve shifts down/right.

    2. Equilibrium Changes:

      • Price for Buyers (P_C): Decreases. Consumers pay less.

      • Quantity Traded (Q): Increases. More of the good is bought/sold.

      • Price for Sellers (P_S): The amount sellers keep (market price + subsidy) increases.

    • Resource Allocation: More resources are used to produce the subsidized good.

Simplified Impact of Subsidy to Firms

Feature

Before Subsidy

After Subsidy (given to firm)

Explanation

Supply Curve

Original SS

Shifts DOWN by subsidy amount

Lower effective production cost / higher revenue for sellers

Price (Consumers)

Higher

Lower

Firms pass on some of the subsidy benefit

Price (Sellers)*

Lower

Higher (market price + subsidy from gov)

Firms receive more total income per unit

Quantity Traded

Lower

Higher

Lower price attracts more buyers, higher profit encourages more supply

Resources

Less

More allocated to this good

Increased production means more resources used

*Price sellers receive = Market price consumers pay + Subsidy

Practice Question 2:
The government offers a 50 per solar panel subsidy to manufacturers. Describe the effect on the equilibrium price and quantity of solar panels.


Subsidy to Consumers

  • Effect on Buyers (Demand):

    • When a unit subsidy is given directly to consumers, it makes the good effectively cheaper for them to buy.

    • Example: If a public transport ticket costs 3, and the government gives commuters 0.50 towards each ticket, the effective cost for the commuter is 2.50.

    • This increases the purchasing power of consumers for that specific good.

    • Key Impact: The Demand Curve (DD) shifts UPWARDS by the exact amount of the subsidy.

      • Why? Consumers are now willing to pay a higher market price for the same quantity because their effective personal cost is lower due to the government payment. Or, they will buy more at the old price.

  • Overall Market Impact:

    1. Demand Increases: The DD curve shifts up/right.

    2. Equilibrium Changes:

      • Price for Buyers (P_C): The market price increases, but the effective price buyers pay (market price - subsidy) decreases.

      • Quantity Traded (Q): Increases. More of the good is bought/sold.

      • Price for Sellers (P_S): The amount sellers receive increases.

    • Resource Allocation: More resources are used to produce the subsidized good.

Simplified Impact of Subsidy to Consumers

Feature

Before Subsidy

After Subsidy (given to consumer)

Explanation

Demand Curve

Original DD

Shifts UP by subsidy amount

Consumers' effective cost is lower, increasing their willingness to buy

Price (Consumers)*

Higher

Lower (market price - subsidy from gov)

Consumers pay less out of pocket due to government assistance

Price (Sellers)

Lower

Higher

Increased demand leads to a higher market price for sellers

Quantity Traded

Lower

Higher

Increased demand results in more goods being bought and sold

Resources

Less

More allocated to this good

Increased production means more resources used

*Price consumers pay = Market price sellers receive - Subsidy

Practice Question 3:
The government gives a 1000 voucher to individuals to buy electric bicycles. How does this affect the electric bicycle market's price and quantity?