Subsidy incidence calculator

This calculator estimates subsidy incidence from the relative price elasticities of demand and supply. Enter the subsidy per unit, the absolute magnitude of demand elasticity, and supply elasticity. The result reports the buyer and seller shares as decimals and percentages, then converts those shares into each side's gain per unit. It is a transparent comparative-statics estimate for competitive markets, not a forecast of every market adjustment.

Read subsidy incidence as an economic split

Statutory receipt and economic benefit are different ideas. A government may send a per-unit subsidy to sellers, yet competition can cause part of it to reach buyers through a lower price. The reverse is also possible when a subsidy is formally claimed by buyers: sellers may capture part through a higher price received. This calculator focuses on the economic split. It reports a buyer share and a seller share that add to one, along with the gain per unit for each side. A buyer gain means the price buyers effectively pay falls relative to the no-subsidy benchmark. A seller gain means the net price sellers receive rises. The two gains add to the subsidy per unit, subject only to displayed rounding. These results describe incidence at the margin in the standard competitive-market model. They do not depend on which side completes the paperwork, because the relative responsiveness of demand and supply determines who can avoid an unfavorable price adjustment more easily.

Use elasticity magnitudes consistently

Enter demand elasticity as an absolute, nonnegative magnitude. Demand elasticity is often printed with a negative sign because quantity demanded usually falls when price rises, but the incidence formula compares magnitudes. Therefore, if a source reports demand elasticity as minus 0.6, enter 0.6. Supply elasticity is normally reported as nonnegative and can be entered directly. The buyer share equals supply elasticity divided by the sum of supply elasticity and the demand-elasticity magnitude. The seller share equals the demand magnitude divided by that same sum. This apparently crossed relationship is important: the less elastic side receives more of the benefit. When supply is highly elastic relative to demand, sellers readily adjust quantity and buyers capture more through a lower purchase price. When demand is highly elastic relative to supply, buyers readily adjust quantity and sellers capture more. A zero elasticity is allowed for one side and represents a perfectly inelastic limiting case, but both elasticities cannot be zero because their relative shares would then be undefined.

Interpret the estimate within its assumptions

The calculation is most useful as a clear baseline for a competitive market and a relatively small policy change. It assumes the entered elasticities are relevant near the market's current equilibrium and that a per-unit subsidy creates a wedge between the price buyers pay and the net price sellers receive. Real programs can depart from that setting. Eligibility rules, price controls, market power, taxes, capacity constraints, delayed entry, informal transactions, and administrative costs can change the observed division. Elasticities may also vary across time, locations, products, or income groups. For a large subsidy, a constant-elasticity approximation may hide movements along nonlinear curves. Treat each reported gain as an incidence estimate per traded unit, not as total welfare, fiscal cost, or a prediction of total quantity. To estimate aggregate transfers, analysts still need an appropriate post-policy quantity. To evaluate welfare, they also need changes in consumer surplus, producer surplus, government expenditure, and any external benefits or costs. The API request costs $0.002; the same deterministic arithmetic supports repeatable scenario comparisons.