Abstract
We develop a continuous time, rational expectations, multi-cohort model of an exchange economy with housing, the purchase of which is subject to a down payment (DP) constraint. The timing of the house purchase decision is a crucial endogenous variable, and four determinants of it are identified – the housing services effect, the interest discounting effect, the consumption smoothing effect, and the rate of price increase effect. Cohort effects, and supply constraints, play crucial roles at the aggregative level. We explore in detail the effects of a discrete financial liberalization, and show that if the liberalization is not announced sufficiently far in advance, housing prices will initially overshoot the new stationary equilibrium, and vice versa. Particular attention is paid to the possibility that for a subset of cohorts along the transition path the DP constraint will not bind. An interesting ‘Prisoners’ Dilemma’ is also identified, and policy implications discussed
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