A decrease in demand will result in a decrease in the equilibrium price while maintaining the equilibrium quantity if the supply curve for housing is perfectly inelastic.
A product is referred to as "perfectly" inelastic when it has an elasticity of zero. This indicates that regardless of how the product's price changes, neither the supply nor the demand will alter at all. The demand for an item or service that is totally inelastic would not fluctuate regardless of price; however, no such good or service exists.
A perfectly inelastic demand curve implies that the buyer would always buy the same quantity of a commodity or service, regardless of price. Vertical to the y-axis is the perfectly inelastic supply curve. This suggests that a change in price will not affect the quantity offered.
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