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A Mean-Variance Optimization Approach for Residential Real Estate Valuation

Author

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  • Guijarro Francisco

    (Universidad Politécnica de Valencia)

Abstract

This paper introduces a new approach to the sales comparison model for the valuation of real estate that can objectively estimate the coefficients associated with the explanatory price variables. The coefficients of the price adjustment process are estimated from the formulation of a quadratic programming model similar to the mean-variance model in the portfolio selection problem and are shown to be independent of the property to be valued. It is also shown that the sales comparison model should minimize the variance of the adjusted prices, and not their coefficient of variation as indicated by some national and international valuation regulations. The paper concludes with a case study on the city of Medellín, Colombia.

Suggested Citation

  • Guijarro Francisco, 2021. "A Mean-Variance Optimization Approach for Residential Real Estate Valuation," Real Estate Management and Valuation, Sciendo, vol. 29(3), pages 13-28, September.
    • Handle: RePEc:vrs:remava:v:29:y:2021:i:3:p:13-28:n:3
    DOI: 10.2478/remav-2021-0018
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    References listed on IDEAS

    as
    1. Marcos Lins & Luiz Novaes & Luiz Legey, 2005. "Real Estate Appraisal: A Double Perspective Data Envelopment Analysis Approach," Annals of Operations Research, Springer, vol. 138(1), pages 79-96, September.
    2. Fengyun Liu & Deqiang Liu & Reza Malekian & Zhixiong Li & Deqing Wang, 2017. "A measurement model for real estate bubble size based on the panel data analysis: An empirical case study," PLOS ONE, Public Library of Science, vol. 12(3), pages 1-26, March.
    3. Gang-Zhi Fan & Seow Eng Ong & Hian Chye Koh, 2006. "Determinants of House Price: A Decision Tree Approach," Urban Studies, Urban Studies Journal Limited, vol. 43(12), pages 2301-2315, November.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    pricing; economic valuation; multiple linear regression model; quadratic programming; objective weights;
    All these keywords.

    JEL classification:

    • C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory
    • R30 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Real Estate Markets, Spatial Production Analysis, and Firm Location - - - General

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