Rent Ceiling in Metroville
Metroville, a city of 3.4 million people, has a competitive rental market. The market-clearing rent is $1,800 per month, with 1.2 million units rented. The city council imposes a rent ceiling of $1,200. At that ceiling, landlords offer 1.0 million units while tenants demand 1.45 million. Estimated price elasticity of demand is -0.4 in the short run and -0.9 in the long run; price elasticity of supply is 0.6 in the short run and 1.6 in the long run. Before the ceiling, the vacancy rate was 2.0%; after six months it is 0.5%. Landlords cut maintenance spending by 18% and convert 40,000 units to short-term holiday lets, which are exempt. A black market emerges at about $1,600 per month. The council is considering replacing the ceiling with a means-tested housing subsidy of $400 per month for low-income tenants, costing the city $600 million a year.
1. Using supply and demand analysis, explain how the rent ceiling affects price, quantity, and resource allocation in the short run and long run. Support your answer with the elasticity data.
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At $1,200 the ceiling binds: quantity demanded is 1.45m and quantity supplied is 1.0m, so the shortage is 0.45m units. The short-run elasticities (-0.4 demand, 0.6 supply) are relatively inelastic, so the immediate quantity response is limited; the main effect is non-price rationing. In the long run demand is more elastic (-0.9) and supply much more elastic (1.6): landlords exit, convert units to exempt holiday lets, and cut maintenance by 18%, so the shortage and quality loss grow. Allocatively, at 1.0m units the marginal social benefit of housing, read from the demand curve between $1,200 and $1,600, exceeds marginal social cost, creating deadweight loss. The black-market rent of $1,600 signals the true scarcity value and shows that the ceiling does not remove the price mechanism; it shifts it to queues, key money, and discrimination. Consumers who obtain a unit gain, but would-be tenants who cannot are worse off.
2. Evaluate whether the city should replace the ceiling with the $400 means-tested subsidy. Refer to equity, efficiency, and fiscal constraints.
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A $400 means-tested subsidy raises the effective demand of low-income tenants. The incidence depends on supply elasticity: in the short run supply is inelastic (0.6), so much of the subsidy is captured by landlords as higher rents; in the long run supply is more elastic (1.6), so more of the benefit reaches tenants through extra units. The fiscal cost is $600m a year, which has an opportunity cost and requires taxes or borrowing, creating deadweight loss elsewhere. Equity is better targeted than a universal ceiling, and it preserves price signals for maintenance and new construction. However, if the city does not also relax planning rules, the subsidy may inflate rents. A ceiling is cheaper fiscally but produces shortages, black markets, and quality deterioration. My judgement: replace the ceiling with the subsidy only if combined with supply-side measures; otherwise the subsidy may be capitalised into rents.
3. The council claims the ceiling protects 250,000 low-income households. Assess this claim.
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The claim that 250,000 households are protected is plausible only for those who keep a tenancy. The ceiling creates a shortage of 450,000 units, so many low-income households cannot find housing at all; some pay black-market rents near $1,600, which is close to the original market rent. Landlords lose revenue and cut maintenance, harming tenants' health and safety. The policy transfers surplus from landlords to sitting tenants, but it is not well targeted: not all sitting tenants are poor, and not all poor households are sitting tenants. If 250,000 households gain an average of $600 per month, the transfer is $1.8bn a year, but the deadweight loss and quality costs are hidden. A judgment on the claim requires comparing gains to winners with losses to losers, including the 200,000 units lost from the rental market. The claim is therefore overstated.