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Journal Article Presentation: Shocks and Valuation in the Rental Housing Market Alm, James and Follain, James “Shocks and Valuation in the Rental Housing Market,” Journal of Urban Economics, 36 (September 1994): 117-142. Presented by Cynthia S. Blasses November 25, 2002
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Introduction and Objectives Theoretical paper exploring impact of major shocks in the rental housing market Develops a structural dynamic model of simultaneous equations –demand –supply –construction –asset price
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A Perfect Foresight Model Formulation of expectations Equations link price with future expected rents Manipulating the equations- –Future values are eliminated using only current & lagged values of rent & price P t represents the present value of actual future path of rents
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Model Equations R t = a 0 + a 1 K t + a 2 Y t (Demand) Parameters a 0, a 2 > 0, Parameter a 1 < 0 K t = (1-d)K t-1 + C t (Supply) C t = α(P t - P*) (Construction) (Price)
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The Solution To solve this system of linear simultaneous difference equations, Alm and Follain develop a second-order difference equation E = R t + D 1 R t-1 + D 2 R t-2 Where it is assumed that Y t = Y t-1 = Y t-2 = Y T
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Where the particular solution represents a steady state value for rent And the characteristic roots (b 1, b 2 ) determine the dynamic behavior of rent over time.
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Adjustment Paths The adjustment path of rent depends on b 1 & b 2 The path oscillates over time D 1 >0, D 2 <0 Convergence to steady-state requires b 1 & b 2 to be less than one in absolute value Speed of adjustment is affected by many factors –in general, the smaller the characteristic roots, the faster the market converges to equilibrium
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Concluding Recommendations Additional structure –Demand & construction equations derived from intertemporal utility and profit maximization Alternative expectations models should be explored –Specifically, a Rational Expectations Model Actual estimation of one or more of the equations presented –Econometric estimations of model parameters
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