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Optimal Valuation of Noisy Real Assets

Author

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  • Paul D. Childs
  • Steven H. Ott
  • Timothy J. Riddiough

Abstract

We study the optimal valuation of real assets when true asset values are unobservable. In our model, the observed value cointegrates with the unobserved true asset value to cause serial correlation in the time series of observed values. Autocorrelation as well as total variance in the observed value are used to calculate an efficient unbiased estimate of the true asset value (the time–filtered value). The optimal value estimate is shown to have three time–weighted terms: a deterministic forward value, a comparison of observed values with previously determined time–filtered values, and a convexity correction for incomplete information. The residual variance measures the precision of the value estimate, which can increase or decrease monotonically over time as well as display a linear or nonlinear time trend. We also show how to revise time–filtered estimates based on the arrival of new information. Our results relate to work on illiquid asset markets, including appraisal smoothing, tests of market efficiency, and the valuation of options on real assets.

Suggested Citation

  • Paul D. Childs & Steven H. Ott & Timothy J. Riddiough, 2002. "Optimal Valuation of Noisy Real Assets," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 30(3), pages 385-414.
    • Handle: RePEc:bla:reesec:v:30:y:2002:i:3:p:385-414
    DOI: 10.1111/1080-8620.t01-1-00010
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    Citations

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    Cited by:

    1. Guthrie, Graeme, 2012. "Regulated prices and real options," Telecommunications Policy, Elsevier, vol. 36(8), pages 650-663.
    2. S H Martzoukos, 2009. "Real R&D options and optimal activation of two-dimensional random controls," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(6), pages 843-858, June.
    3. Johannes Strobel & Binh Nguyen Thanh & Gabriel Lee, 2020. "Effects of Macroeconomic Uncertainty and Labor Demand Shocks on the Housing Market," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 48(2), pages 345-372, June.
    4. Xian Zheng, 2015. "Expectation, volatility and liquidity in the housing market," Applied Economics, Taylor & Francis Journals, vol. 47(37), pages 4020-4035, August.
    5. David Geltner & Bryan D. MacGregor & Gregory M. Schwann, 2003. "Appraisal Smoothing and Price Discovery in Real Estate Markets," Urban Studies, Urban Studies Journal Limited, vol. 40(5-6), pages 1047-1064, May.
    6. YongQiang Chu & Tien Sing, 2007. "Optimal Timing of Real Estate Investment under an Asymmetric Duopoly," The Journal of Real Estate Finance and Economics, Springer, vol. 34(3), pages 327-345, April.
    7. Robert J. Shiller, 2008. "Derivatives Markets for Home Prices," Cowles Foundation Discussion Papers 1648, Cowles Foundation for Research in Economics, Yale University.
    8. Su Chan & Ko Wang & Jing Yang, 2012. "Presale Contract and its Embedded Default and Abandonment Options," The Journal of Real Estate Finance and Economics, Springer, vol. 44(1), pages 116-152, January.
    9. Robert Fourt & Gianluca Marcato & Charles Ward, 2007. "Real Option Pricing in Mixed-use Development Projects," Real Estate & Planning Working Papers rep-wp2007-09, Henley Business School, University of Reading.
    10. Steven H. Ott & Timothy J. Riddiough & Ha-Chin Yi & Jiro Yoshida, 2008. "On Demand: Cross-Country Evidence From Commercial Real Estate Asset Markets," International Real Estate Review, Global Social Science Institute, vol. 11(1), pages 1-37.
    11. J. Andrew Hansz, 2005. "Prior transaction price induced smoothing: testing and calibrating the Quan--Quigley model at the disaggregate level," Journal of Property Research, Taylor & Francis Journals, vol. 21(4), pages 321-336, April.
    12. Stephen A. Samaha & Wagner A. Kamakura, 2008. "Assessing the Market Value of Real Estate Property with a Geographically Weighted Stochastic Frontier Model," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 36(4), pages 717-751, December.
    13. Binh Nguyen Thanh & Johannes Strobel & Gabriel Lee, 2020. "A New Measure of Real Estate Uncertainty Shocks," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 48(3), pages 744-771, September.
    14. Tunaru Radu S & Viney Howard P, 2010. "Valuations of Soccer Players from Statistical Performance Data," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 6(2), pages 1-23, April.
    15. Michel Benaroch, 2018. "Real Options Models for Proactive Uncertainty-Reducing Mitigations and Applications in Cybersecurity Investment Decision Making," Information Systems Research, INFORMS, vol. 29(2), pages 315-340, June.
    16. Martzoukos, Spiros H. & Zacharias, Eleftherios, 2013. "Real option games with R&D and learning spillovers," Omega, Elsevier, vol. 41(2), pages 236-249.
    17. Steven Ott & W. Hughen & Dustin Read, 2012. "Optimal Phasing and Inventory Decisions for Large-Scale Residential Development Projects," The Journal of Real Estate Finance and Economics, Springer, vol. 45(4), pages 888-918, November.
    18. W. Hughen & Dustin Read, 2014. "Inclusionary Housing Policies, Stigma Effects and Strategic Production Decisions," The Journal of Real Estate Finance and Economics, Springer, vol. 48(4), pages 589-610, May.
    19. Zan Yang & Shuping Wu, 2019. "Land acquisition outcome, developer risk attitude and land development timing," The Journal of Real Estate Finance and Economics, Springer, vol. 59(2), pages 233-271, August.

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