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Demand Uncertainty, Development Timing and Leasehold Land Valuation: Empirical Testing of Real Options in Residential Real Estate Development

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  • Huimin Yao
  • Frederik Pretorius

Abstract

type="main"> This article develops and tests a long-dated American call option pricing model for valuing development land under leasehold. We analyze and test option values in ten detailed Hong Kong cases involving purchase, holding, converting and developing land. We also test for optimal exercise of long-dated American calls using processes based on the optimal trigger ratio feature of the perpetual American call option model. Generally, the empirical results confirm presence of a positive and nontrivial option premium (mean +5.274%) in the cases, and that developers appear to delay exercise to the point predicted by the real options model.

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  • Huimin Yao & Frederik Pretorius, 2014. "Demand Uncertainty, Development Timing and Leasehold Land Valuation: Empirical Testing of Real Options in Residential Real Estate Development," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 42(4), pages 829-868, December.
    • Handle: RePEc:bla:reesec:v:42:y:2014:i:4:p:829-868
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    1. Jing-Zhi Huang & Marti G. Subrahmanyam & G. George Yu, 1999. "Pricing And Hedging American Options: A Recursive Integration Method," World Scientific Book Chapters, in: Marco Avellaneda (ed.), Quantitative Analysis In Financial Markets Collected Papers of the New York University Mathematical Finance Seminar, chapter 8, pages 219-239, World Scientific Publishing Co. Pte. Ltd..
    2. Bjerksund, Petter & Stensland, Gunnar, 1993. "Closed-form approximation of American options," Scandinavian Journal of Management, Elsevier, vol. 9(Supplemen), pages 87-99.
    3. Merton, Robert C, 1998. "Applications of Option-Pricing Theory: Twenty-Five Years Later," American Economic Review, American Economic Association, vol. 88(3), pages 323-349, June.
    4. Geltner, David & Riddiough, Timothy & Stojanovic, Srdjan, 1996. "Insights on the Effect of Land Use Choice: The Perpetual Option on the Best of Two Underlying Assets," Journal of Urban Economics, Elsevier, vol. 39(1), pages 20-50, January.
    5. Majd, Saman & Pindyck, Robert S., 1987. "Time to build, option value, and investment decisions," Journal of Financial Economics, Elsevier, vol. 18(1), pages 7-27, March.
    6. Capozza, Dennis & Li, Yuming, 1994. "The Intensity and Timing of Investment: The Case of Land," American Economic Review, American Economic Association, vol. 84(4), pages 889-904, September.
    7. Robert C. Merton, 2005. "Theory of rational option pricing," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 8, pages 229-288, World Scientific Publishing Co. Pte. Ltd..
    8. Capozza, Dennis R. & Helsley, Robert W., 1990. "The stochastic city," Journal of Urban Economics, Elsevier, vol. 28(2), pages 187-203, September.
    9. Robert Grovenstein & James Kau & Henry Munneke, 2011. "Development Value: A Real Options Approach Using Empirical Data," The Journal of Real Estate Finance and Economics, Springer, vol. 43(3), pages 321-335, October.
    10. Kaushik Amin & Ajay Khanna, 1994. "Convergence Of American Option Values From Discrete‐ To Continuous‐Time Financial Models1," Mathematical Finance, Wiley Blackwell, vol. 4(4), pages 289-304, October.
    11. Geske, Robert & Shastri, Kuldeep, 1985. "Valuation by Approximation: A Comparison of Alternative Option Valuation Techniques," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 20(1), pages 45-71, March.
    12. Quigg, Laura, 1993. "Empirical Testing of Real Option-Pricing Models," Journal of Finance, American Finance Association, vol. 48(2), pages 621-640, June.
    13. Williams, Joseph T, 1991. "Real Estate Development as an Option," The Journal of Real Estate Finance and Economics, Springer, vol. 4(2), pages 191-208, June.
    14. James L. Paddock & Daniel R. Siegel & James L. Smith, 1988. "Option Valuation of Claims on Real Assets: The Case of Offshore Petroleum Leases," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 103(3), pages 479-508.
    15. Myers, Stewart C., 1977. "Determinants of corporate borrowing," Journal of Financial Economics, Elsevier, vol. 5(2), pages 147-175, November.
    16. Boyle, Phelim P., 1988. "A Lattice Framework for Option Pricing with Two State Variables," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 23(1), pages 1-12, March.
    17. Barone-Adesi, Giovanni & Whaley, Robert E, 1987. "Efficient Analytic Approximation of American Option Values," Journal of Finance, American Finance Association, vol. 42(2), pages 301-320, June.
    18. Omberg, Edward, 1987. "A Note on the Convergence of Binomial-Pricing and Compound-Option," Journal of Finance, American Finance Association, vol. 42(2), pages 463-469, June.
    19. Capozza Dennis R. & Sick Gordon A., 1994. "The Risk Structure of Land Markets," Journal of Urban Economics, Elsevier, vol. 35(3), pages 297-319, May.
    20. Robert McDonald & Daniel Siegel, 1986. "The Value of Waiting to Invest," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 101(4), pages 707-727.
    21. Broadie, Mark & Detemple, Jerome, 1996. "American Option Valuation: New Bounds, Approximations, and a Comparison of Existing Methods," The Review of Financial Studies, Society for Financial Studies, vol. 9(4), pages 1211-1250.
    22. Titman, Sheridan, 1985. "Urban Land Prices under Uncertainty," American Economic Review, American Economic Association, vol. 75(3), pages 505-514, June.
    23. Capozza, Dennis R. & Li, Yuming, 2002. "Optimal Land Development Decisions," Journal of Urban Economics, Elsevier, vol. 51(1), pages 123-142, January.
    24. Cox, John C. & Ross, Stephen A. & Rubinstein, Mark, 1979. "Option pricing: A simplified approach," Journal of Financial Economics, Elsevier, vol. 7(3), pages 229-263, September.
    25. Ju, Nengjiu, 1998. "Pricing an American Option by Approximating Its Early Exercise Boundary as a Multipiece Exponential Function," The Review of Financial Studies, Society for Financial Studies, vol. 11(3), pages 627-646.
    26. Åke Gunnelin, 2001. "The option to change the use of a property when future property values and construction costs are uncertain," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 22(7), pages 345-354.
    27. Brennan, Michael J. & Schwartz, Eduardo S., 1978. "Finite Difference Methods and Jump Processes Arising in the Pricing of Contingent Claims: A Synthesis," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 13(3), pages 461-474, September.
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    Cited by:

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    2. Honglin Wang & Fan Yu & Yinggang Zhou, 2020. "Property Investment and Rental Rate under Housing Price Uncertainty: A Real Options Approach," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 48(2), pages 633-665, June.
    3. Wang, Honglin & Yu, Fan & Zhou, Yinggang, 2018. "Property Investment and Rental Rate under Housing Price Uncertainty: A Real Options Approach," IRTG 1792 Discussion Papers 2018-051, Humboldt University of Berlin, International Research Training Group 1792 "High Dimensional Nonstationary Time Series".
    4. Jenny Jing Wang & Jianfu Shen & Frederik Pretorius, 2023. "Valuing options to renew at future market value: the case of commercial property leases," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 9(1), pages 1-35, December.
    5. Kwabena Mintah, 2018. "Real Options Analysis in Residential Property Development Decision-Making in Australia: Perspective of Executives," International Real Estate Review, Global Social Science Institute, vol. 21(4), pages 473-520.
    6. Quan Gan & Maggie Rong Hu & Wayne Xinwei Wan, 2022. "Contract rescission in the real estate presale market," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 50(4), pages 1054-1106, December.
    7. Gluszak, Michal & Zygmunt, Robert, 2018. "Development density, administrative decisions, and land values: An empirical investigation," Land Use Policy, Elsevier, vol. 70(C), pages 153-161.
    8. Reyman, Katarzyna & Maier, Gunther, 2023. "Property rights regime and the timing of land development in a post-transition country (Poland)," SRE-Discussion Papers 01/2023, WU Vienna University of Economics and Business.
    9. Jiangang Shi & Kaifeng Duan & Shiping Wen & Rui Zhang, 2019. "Investment Valuation Model of Public Rental Housing PPP Project for Private Sector: A Real Option Perspective," Sustainability, MDPI, vol. 11(7), pages 1-18, March.
    10. L. Li & K. W. Chau, 2019. "What Motivates a Developer to Sell before Completion?," The Journal of Real Estate Finance and Economics, Springer, vol. 59(2), pages 209-232, August.
    11. L. Li & Helen X. H. Bao & K. W. Chau, 2023. "On the Strategic Timing of Sales by Real Estate Developers: To Wait or To Presell?," The Journal of Real Estate Finance and Economics, Springer, vol. 66(1), pages 169-196, January.
    12. Gang‐Zhi Fan & Ming Pu & Tien Foo Sing & Xiaoyu Zhang, 2022. "Risk aversion and urban land development options," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 50(3), pages 767-788, September.
    13. Sheng-Hau Lin & Chia-Tsong Chen, 2020. "Pricing Rent for Social Housing Under Uncertainty," Advances in Management and Applied Economics, SCIENPRESS Ltd, vol. 10(4), pages 1-4.
    14. Jianfu Shen & Frederik Pretorius & K. W. Chau, 2018. "Land Auctions with Budget Constraints," The Journal of Real Estate Finance and Economics, Springer, vol. 56(3), pages 443-471, April.

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