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A dynamic model of house price

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  • Wang, Zigan
  • Zhu, Youwei

Abstract

In this paper, we build the rationale of the financial intermediate's decision of making loans to potential home buyers over an infinite time horizon. In the first period "good" borrowers with stable future income flows receive loans and buy homes. In later periods, the intermediate securitizes the loans to raise new capital and makes loans to some of the "bad" borrowers with uncertain future income flows. Currently, we simplify the securitization as a tool to raise capital without cost over time. This unrealistic simplification should be improved in later work. The financial intermediate calculates the expected payoffs in different scenarios under the realizations of uncertainty to decide whether to make loans to a new borrower and whether to liquidate a house if the owner is short of liquidity in the short run. After clarifying the sequence of moves of different agents within each period, we compute the financial intermediate's decision rule described by a Bellman equation. Then we simulate borrowers' income realization and produce a figure of house price as well as value function over time.

Suggested Citation

  • Wang, Zigan & Zhu, Youwei, 2011. "A dynamic model of house price," MPRA Paper 34395, University Library of Munich, Germany, revised 29 Oct 2011.
    • Handle: RePEc:pra:mprapa:34395
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    File URL: https://mpra.ub.uni-muenchen.de/34395/1/MPRA_paper_34395.pdf
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    References listed on IDEAS

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    1. Yunsong Xu & Hanying Qi & Jiaqi Li & Ning Ding, 2021. "The Risk Spillover Effects of the Real Estate Industry on the Financial Industry: A GARCH-Time-Varying-Copula-CoVaR Approach on China," SAGE Open, , vol. 11(4), pages 21582440211, December.

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    More about this item

    Keywords

    Real estate market; house price; securitization; mortgage-backed securities; bubble; dynamic forward looking model;
    All these keywords.

    JEL classification:

    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • L85 - Industrial Organization - - Industry Studies: Services - - - Real Estate Services
    • P25 - Political Economy and Comparative Economic Systems - - Socialist and Transition Economies - - - Urban, Rural, and Regional Economics
    • R21 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Household Analysis - - - Housing Demand
    • R31 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Real Estate Markets, Spatial Production Analysis, and Firm Location - - - Housing Supply and Markets
    • R33 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Real Estate Markets, Spatial Production Analysis, and Firm Location - - - Nonagricultural and Nonresidential Real Estate Markets

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