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Endogenous sources of volatility in housing markets: the joint buyer-seller problem
This paper presents new empirical evidence that internal movement--selling one home and buying another--by existing homeowners within a metropolitan housing market is especially volatile and the main driver of fluctuations in transaction volume over the housing market cycle. We develop a dynamic search equilibrium model that shows that the strong pro-cyclicality of internal movement is driven by the cost of simultaneously holding two homes, which varies endogenously over the cycle. We estimate the model using data on prices, volume, time-on-market, and internal moves drawn from Los Angeles from 1988-2008 and use the fitted model to show that frictions related to the joint buyer-seller problem: (i) substantially amplify booms and busts in the housing market, (ii) create counter-cyclical build-ups of mismatch of existing owners with their homes, and (iii) generate externalities that induce significant welfare loss and excess price volatility.
AUTHORS: Anenberg, Elliot; Bayer, Patrick
Approximating high-dimensional dynamic models: sieve value function iteration
Many dynamic problems in economics are characterized by large state spaces, which make both computing and estimating the model infeasible. We introduce a method for approximating the value function of high-dimensional dynamic models based on sieves and establish results for the: (a) consistency, (b) rates of convergence, and (c) bounds on the error of approximation. We embed this method for approximating the solution to the dynamic problem within an estimation routine and prove that it provides consistent estimates of the model?s parameters. We provide Monte Carlo evidence that our method can successfully be used to approximate models that would otherwise be infeasible to compute, suggesting that these techniques may substantially broaden the class of models that can be solved and estimated.
AUTHORS: Bayer, Patrick; Bugni, Federico A.; James, Jonathan; Peter Archidiacono