An increase in the anticipated rate of inflation causes distortions in the housing market due to a nonindexed tax system. Since nominal rather than real interest payments are tax deductible, an increase in inflation decreases the aftertax cost of capital for homeowners, which in turn increases the demand for housing and increases its real price. This tax gain is shown to be larger for rental housing than for owner‐occupied housing. In a competitive market, this implies that although the real price of housing increases with a rise in anticipated inflation, real rental rates fall.
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Sheridan D. Titman (1982) studied this question.
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