Taxes and Tax Incidence
1. Understanding Who Really Pays Taxes (Tax Incidence)
Tax Incidence: This is about figuring out who actually ends up paying for a tax out of their own pocket, even if someone else is legally responsible for sending the money to the government.
Statutory Incidence (Who's Legally Responsible?):
This refers to the person or business legally required to send the tax payment to the government.
Think of it as who "writes the check" to the government. For example, a store collects sales tax and sends it to the state, or a gas station collects gasoline tax.
Economic Incidence (Who Bears the Cost?):
This is about who truly feels the burden of the tax financially.
For Consumers: They bear the tax burden if they end up paying a higher price for a good, which reduces their overall satisfaction or "consumer surplus."
For Producers: They bear the tax burden if they receive a lower price for their goods after the tax, which reduces their profits or "producer surplus."
It's important to remember that who is legally required to pay the tax (statutory incidence) doesn't necessarily mean they're the ones who economically pay for it. These are often different.
Outline: What We'll Cover About Taxes
To really understand taxes, especially excise taxes, we'll look at:
The Basic Tax Model: We'll start with how a simple tax (an excise tax) works.
Who Pays the Tax: We'll see how the burden is split between buyers (consumers) and sellers (producers), and how much this depends on how easily they can adjust to price changes (elasticity).
Tax Equivalence: The idea that it doesn't matter who is legally required to pay the tax; the final economic burden usually stays the same.
Tax Revenue: How the government collects money from taxes, and again, how much this depends on elasticity.
Deadweight Loss: The inefficiencies taxes create in the market, and how this loss is also linked to elasticity.
Taking a Closer Look at an Excise Tax
Excise Tax: This is a tax on a specific item, like cigarettes or gasoline, unlike a general sales tax that applies to many goods.
We use excise taxes in our analysis because they're the simplest to understand, and the lessons apply to more complex taxes.
How Excise Taxes are Applied:
Based on Quantity (Per-Unit Tax):
A set tax amount for each unit sold. For example, a certain amount per gallon of gas or per pack of cigarettes.
These are common and bring in significant money for governments, though they are smaller than income or payroll taxes.
Based on Price (Ad Valorem):
A percentage of the good's price, like a 6% sales tax. We usually focus on per-unit taxes in our initial analysis because they're simpler to model.
Analyzing a Per-Unit Excise Tax (Starting with Suppliers Paying):
For simplicity, we often assume the seller is legally responsible for paying the tax to the government. (In reality, this is common because it's easier for the government to collect from fewer businesses than millions of consumers).
The Tax as an "Extra Cost": A per-unit tax acts like an additional cost for producers. It's crucial to remember this isn't a real cost of making the product (like raw materials or labor), but an external amount the government imposes.
Impact on the Supply Curve: The tax shifts the supply curve upwards by exactly the amount of the tax. This new curve shows the original production cost plus the new tax.
Impact on Prices:
Consumers will pay a higher price () than before the tax (). So, consumers pay *some* of the tax through higher prices.
Producers will receive a lower price () for their goods than before the tax (). So, producers pay *some* of the tax through reduced earnings.
A "wedge" opens up between what consumers pay and what producers receive. This gap is exactly equal to the tax amount: .
Impact on Quantity & Market Efficiency:
Fewer goods will be bought and sold ( is less than ), meaning the market becomes less efficient.
Both consumer and producer benefits (surplus) are reduced.
Deadweight Loss: This is a new inefficiency created by the tax.
Taxes change incentives, preventing some mutually beneficial transactions from happening.
This leads to a quantity of goods traded that is less than what's optimal for society.
Deadweight loss happens because people and businesses change their buying and selling habits to avoid the tax, making the market less efficient.
Why Suppliers Can't Just Pass On the Entire Tax:
If sellers tried to raise the price by the full tax amount (), buyers would demand much less (), creating an excess supply (surplus) in the market.
This surplus would force sellers to lower their prices to attract buyers, meaning they can't avoid paying some of the tax burden themselves.
Real-World Impact of Sales Tax Increases:
Taxes change prices, which in turn changes how consumers behave.
Buying Ahead: People often buy more nonperishable goods (like clothes or cleaning supplies) before a sales tax increase to avoid the higher future price.
Shopping Across Borders: Consumers may cross state lines or shop online to avoid higher local sales taxes, especially if it's convenient.
Online Shopping Spike: When local sales taxes rise, online shopping often increases. This is partly because few consumers actually pay the "use tax" they technically owe on out-of-state online purchases (compliance for use tax is very low, around 1.6%).
Overall: These behaviors show that consumers react to taxes much like they react to any other price change.
2. Who Actually Pays the Tax is Decided by Elasticity (How Flexible Buyers and Sellers Are)
The actual split of the tax burden between buyers and sellers depends heavily on their price elasticity of demand (how much buyers react to price changes) and price elasticity of supply (how much sellers react to price changes).
General Rule:
The side of the market that is more flexible and can easily change their behavior (i.e., is more elastic) will manage to avoid paying more of the tax.
The side that is less flexible and has fewer alternatives (i.e., is more inelastic) will end up paying a larger share of the tax burden.
Understanding Relative Elasticities:
If Demand is More Inelastic (Buyers are Less Flexible): Consumers will pay more of the tax. They have fewer options and are less likely to stop buying the good even if the price goes up. Examples include essential goods like gasoline or addictive products like cigarettes.
If Demand is More Elastic (Buyers are More Flexible): Consumers will pay less of the tax. They have many alternatives and can easily switch to other goods if the price goes up. Examples include luxury items or goods with many substitutes like different types of fruit.
The same logic applies to supply: if producers are more inelastic, they pay more; if more elastic, they pay less (e.g., a farmer can easily grow different crops, making tobacco supply relatively elastic).
Visualizing Elasticity and Tax Burden
When Demand is Relatively Inelastic (Steep Demand Curve):
If a tax shifts the supply curve up, the price consumers pay () goes up a lot, but the price producers receive () drops only a little. This means consumers bear the much larger share of the tax.
When Demand is Relatively Elastic (Flat Demand Curve):
With the same tax, the price consumers pay () goes up only a little, while the price producers receive () drops significantly. In this case, producers bear the much larger share of the tax.
Real-World Example: Tobacco Tax Settlement
Background: Cigarettes have inelastic demand (due to their addictive nature) but elastic supply (farmers can easily switch from growing tobacco to other crops).
Legal Action: States sued tobacco companies for misleading the public about health risks. The settlement required these companies to pay $250 billion over 25 years, tied to the number of cigarettes sold (essentially a per-unit tax).
Who Really Paid? Tobacco companies preferred this payment method because their economists understood that, due to the inelastic demand for cigarettes, they could pass most of this "tax" directly onto consumers (smokers) through higher prices.
3. Tax Equivalence (Who Pays Legally Doesn't Change Who Pays Economically)
Tax Equivalence: This principle states that, in theory, it doesn't matter who is legally required to send the tax money to the government. The ultimate economic burden on consumers and producers remains the same, determined by their relative elasticities, not by the legal setup.
Simple Example: Imagine a $1 tax on a $10 item.
Scenario 1 (Consumer Pays): You (the consumer) pay $10 to the seller. Then, you directly send the $1 tax to the government. The seller received $10 and gets to keep $10. You spent $11 total ($10 to seller, $1 to government).
Scenario 2 (Seller Pays): You pay $11 to the seller. The seller then sends $1 to the government and keeps $10. You spent $11 total ($11 to seller).
In both scenarios, you ended up paying $11 and the seller ended up with $10. The outcomes for buyers and sellers are identical, regardless of who legally handled the tax payment.
Application: FICA Tax (Payroll Tax)
FICA Tax (Federal Insurance Contributions Act): This tax funds Social Security and Medicare.
Legal Setup (Statutory Incidence): Your paycheck shows about 7.65% deducted for FICA, and your employer also pays an additional 7.65% on your behalf. So the legal responsibility is split 50/50.
Economic Reality (Who Actually Pays?):
Labor Supply (Workers): For most working adults (say, 25-55), their ability to significantly change how much they work in response to wage changes is very inelastic (not very flexible). They need to work to pay bills, regardless of minor wage fluctuations.
Labor Demand (Firms): Businesses, however, have fairly elastic labor demand. They can often substitute human workers with technology (like kiosks, self-checkout, or machinery) if labor costs become too high.
The Outcome: Because workers are much less flexible (more inelastic) than employers, workers actually bear most of the FICA tax burden economically (estimates often range from 75-90%), even though employers legally pay half. This shows how crucial elasticity is for understanding who truly pays, not just the legal structure.
4. Tax Revenue (How Government Collects Money)
Tax Revenue Formula: Tax Revenue = Tax Rate Tax Base
Tax Rate: The amount of tax per unit (the vertical distance between the supply curves on a graph).
Tax Base: The number of units actually sold and taxed (the quantity after the tax is imposed).
Will Increasing Tax Rates Always Increase Tax Revenue? No.
While a higher tax rate means more money per unit, it also raises the price for consumers, which usually reduces the quantity demanded (the tax base).
The overall effect on tax revenue depends on elasticity. If demand is really inelastic, revenue might go up. If demand is elastic, revenue could actually go down because people stop buying the taxed good.
Will Doubling the Tax Rate Double Tax Revenue? No.
Doubling the tax rate would only double revenue if the quantity sold remained exactly the same. But the law of demand tells us that a higher price (due to a doubled tax) will always reduce the quantity demanded. So, revenue will increase, but less than double (or might even decrease if demand is highly elastic).
5. Deadweight Loss (The Cost of Inefficiency from Taxes)
Deadweight Loss: This term describes the lost benefits (from both consumers and producers) that occur when taxes prevent mutually beneficial transactions, pushing the market away from its most efficient outcome. It's essentially the missed opportunities for value creation.
Main Factor: The size of the deadweight loss depends directly on how much the quantity traded after the tax () differs from the efficient quantity (). And this deviation is all about elasticity.
Elasticity's Role in Deadweight Loss:
Elastic Demand (Flat Demand Curve): When demand is elastic, buyers are very sensitive to price changes. A tax here causes a large drop in the quantity traded, leading to a larger deadweight loss (a bigger triangle on the graph).
Inelastic Demand (Steep Demand Curve): When demand is inelastic, buyers are less sensitive to price changes. A tax here causes only a small drop in the quantity traded, resulting in a smaller deadweight loss (a narrower triangle on the graph).
Why Governments Prefer Taxing Inelastic Goods: If the goal is to raise tax revenue while causing the least amount of market inefficiency (deadweight loss), governments often choose to tax goods with inelastic demand (like cigarettes, gasoline, or even labor through payroll taxes). This strategy allows them to collect significant, stable revenue because people continue to buy these goods, and it creates less distortion in market behavior compared to taxing elastic goods.