Depreciation, Building Age, and Market Price Statistics for Reference in Urban Redevelopment Option Pricing
Publication: Journal of Urban Planning and Development
Volume 146, Issue 1
Abstract
This study aims to develop a new option pricing model within a two-phase real option framework to adjust underestimation due to depreciation in urban redevelopment projects (approximately 70% bias in a 10-year Urban Renewal Authority standard redevelopment in Hong Kong). The model is applicable to residential buildings owned by multiple residents. This discrete-time model introduces two novel features, namely, constant depreciation rate and annual increase of average building age. Option values are sensitive to the embedded assumption of annual depreciation effect in the market price statistics for reference (market indices or average prices), which facilitates good decision making for redevelopment.
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Data Availability Statement
Some or all data, models, or code generated or used during the study are available from the corresponding author by request, including: Market price and construction cost information used in the data analysis, which is open data from the Hong Kong government and ARCADIS’ Annual Construction Cost Handbook; Transaction information used in the case study (close to KC-009), which is collected from EPRC and Centadata databases; and the program code for this discrete-time redevelopment option model.
References
ARCADIS. 2016. Construction cost hand book: China and Hong Kong 2016. Amsterdam, Netherlands: Langdon & Seah Hong Kong Limited, Langdon & Seah China Limited.
ARCADIS. 2017. Construction cost hand book: China and Hong Kong 2017. Amsterdam, Netherlands: Langdon & Seah Hong Kong Limited, Langdon & Seah China Limited.
Baum, A., and A. McElhinney. 2000. The causes and effects of depreciation in office buildings: A ten year update. Reading, UK: Univ. of Reading.
Bokhari, S., and D. Geltner. 2018. “Characteristics of depreciation in commercial and multifamily property: An investment perspective.” Real Estate Econ. 46 (4): 745–782. https://doi.org/10.1111/1540-6229.12156.
Bostic, R. W., S. D. Longhofer, and C. L. Redfearn. 2007. “Land leverage: Decomposing home price dynamics.” Real Estate Econ. 35 (2): 183–208. https://doi.org/10.1111/j.1540-6229.2007.00187.x.
Bourassa, S. C., M. Hoesli, D. Scognamiglio, and S. Zhang. 2011. “Land leverage and house prices.” Reg. Sci. Urban Econ. 41 (2): 134–144. https://doi.org/10.1016/j.regsciurbeco.2010.11.002.
Brueckner, J. K. 1980. “A vintage model of urban growth.” J. Urban Econ. 8 (3): 389–402. https://doi.org/10.1016/0094-1190(80)90039-X.
Capozza, D. R., and G. A. Sick. 1991. “Valuing long-term leases: The option to redevelop.” J. Real Estate Finance Econ. 4 (2): 209–223. https://doi.org/10.1007/BF00173125.
Chan, E. H., and E. H. Yung. 2004. “Is the development control legal framework conducive to a sustainable dense urban development in Hong Kong?” Habitat Int. 28 (3): 409–426. https://doi.org/10.1016/S0197-3975(03)00040-7.
Chau, K. W., S. K. Wong, and C. Y. Yiu. 2003. “Price discovery function of forward contracts in the real estate market: An empirical test.” J. Financial Manage. Property Constr. 8 (3): 129–137.
Chau, K. W., S. K. Wong, and C. Y. Yiu. 2005. “Adjusting for non-linear age effects in the repeat sales index.” J. Real Estate Finance Econ. 31 (2): 137–153. https://doi.org/10.1007/s11146-005-1369-6.
Chen, J., and R. N. Lai. 2013. “Pricing relocation–redevelopment projects for city expansion: The case in China.” Real Estate Econ. 41 (4): 925–957. https://doi.org/10.1111/reec.12017.
Clapp, J., T. Lindenthal, and P. Eichholtz. 2010. Real option value and the long term dynamics of house prices in Berlin, 1978–2007. Accessed November 19, 2019. https://www.researchgate.net/profile/John_Clapp2/publication/265575191_Real_Option_Value_and_the_Long_Term_Dynamics_of_House_Prices_in_Berlin_1978-2007/links/5583128708ae4738295b7014.pdf.
Clapp, J. M., K. S. Bardos, and S. K. Wong. 2012a. “Empirical estimation of the option premium for residential redevelopment.” Reg. Sci. Urban Econ. 42 (1): 240–256. https://doi.org/10.1016/j.regsciurbeco.2011.08.007.
Clapp, J. M., P. Eichholtz, and T. Lindenthal. 2013. “Real option value over a housing market cycle.” Reg. Sci. Urban Econ. 43 (6): 862–874. https://doi.org/10.1016/j.regsciurbeco.2013.07.005.
Clapp, J. M., J. B. Jou, and T. Lee. 2012b. “Hedonic models with redevelopment options under uncertainty.” Real Estate Econ. 40 (2): 197–216. https://doi.org/10.1111/j.1540-6229.2011.00323.x.
Clapp, J. M., and K. Salavei. 2010. “Hedonic pricing with redevelopment options: A new approach to estimating depreciation effects.” J. Urban Econ. 67 (3): 362–377. https://doi.org/10.1016/j.jue.2009.11.003.
Cox, J. C., S. A. Ross, and M. Rubinstein. 1979. “Option pricing: A simplified approach.” J. Financial Econ. 7 (3): 229–263. https://doi.org/10.1016/0304-405X(79)90015-1.
Davis, M. A., and M. G. Palumbo. 2008. “The price of residential land in large US cities.” J. Urban Econ. 63 (1): 352–384. https://doi.org/10.1016/j.jue.2007.02.003.
Department for Communities and Local Government. 2010. “English house condition survey.” Accessed November 19, 2019. http://www.communities.gov.uk/housing/housingresearch/housingsurveys/englishhousecondition/.
Dixit, A. K., and R. S. Pindyck. 1994. Investment under uncertainty. Princeton, NJ: Princeton University Press.
Downing, C., and N. Wallace. 2002. “A real options approach to housing investment.” Accessed November 19, 2019. http://ssrn.com/abstract=234155.
Fisher, J. D., B. C. Smith, J. J. Stern, and R. B. Webb. 2005. “Analysis of economic depreciation for multi-family property.” J. Real Estate Res. 27 (4): 355–369.
Francke, M. K., and A. M. van de Minne. 2017. “Land, structure and depreciation.” Real Estate Econ. 45 (2): 1–37.
Ho, D. C. W., Y. Yau, S. W. Poon, and E. Liusman. 2012. “Achieving sustainable urban renewal in Hong Kong: Strategy for dilapidation assessment of high rises.” J. Urban Plann. Dev. 138 (2): 153–165. https://doi.org/10.1061/(ASCE)UP.1943-5444.0000104.
Ho, D. K. H., E. C. M. Hui, and M. F. B. Ibrahim. 2009. “Asset value enhancement of Singapore’s public housing main upgrading programme (MUP) policy: A real option analysis approach.” Urban Stud. 46 (11): 2329–2361. https://doi.org/10.1177/0042098009342451.
Hui, E. C. M., and I. M. Ng. 2008. “A risk-based option pricing strategy for property valuation: An empirical study in Hong Kong.” J. Financial Manage. Prop. Constr. 13 (1): 48–59. https://doi.org/10.1108/13664380810882075.
Hui, E. C. M., I. M. H. Ng, and K. K. Lo. 2011. “Analysis of the viability of an urban renewal project under a risk-based option pricing framework.” J. Urban Plann. Dev. 137 (2): 101–111. https://doi.org/10.1061/(ASCE)UP.1943-5444.0000047.
Hulten, C. R., and F. C. Wykoff. 1981. “The estimation of economic depreciation using vintage asset prices: An application of the Box-Cox power transformation.” J. Econom. 15 (3): 367–396. https://doi.org/10.1016/0304-4076(81)90101-9.
Krause, A. 2015. “Piece-by-piece: Low-rise redevelopment in Seattle.” J. Prop. Res. 32 (3): 258–278. https://doi.org/10.1080/09599916.2015.1048705.
Law, C. K., J. C. W. Chan, E. W. T. Chui, Y. C. Wong, K. M. Lee, and F. L. Y. Chau. 2009. “Study report on urban renewal policies in Asian cities.” Accessed November 19, 2019. http://www.ursreview.gov.hk/eng/related_studies_reports.html.
Leung, B., E. Hui, and B. Seabrooke. 2007. “Pricing of presale properties with asymmetric information problems.” J. Real Estate Portfolio Manage. 13 (2): 139–152.
McKean, H. P., Jr. 1965. “Appendix: a free boundary problem for the heat equation arising from a problem in mathematical economics.” Ind. Manage. Rev. 6: 32–39.
McMillen, D., and A. O’Sullivan. 2013. “Option value and the price of teardown properties.” J. Urban Econ. 74 (Mar): 71–82. https://doi.org/10.1016/j.jue.2012.09.004.
Munneke, H. J., and K. S. Womack. 2016. Valuing real options in real estate: A spatial study of the option to redevelop. Accessed November 19, 2019. https://www.researchgate.net/publication/314382179_Valuing_Real_Options_in_Real_Estate_A_Spatial_Study_of_the_Option_to_Redevelop.
Quigg, L. 1993. “Empirical testing of real option-pricing models.” J. Finance 48 (2): 621–640. https://doi.org/10.1111/j.1540-6261.1993.tb04730.x.
Rosen, S. 1974. “Hedonic prices and implicit markets: Product differentiation in pure competition.” J. Political Econ. 82 (1): 34–55. https://doi.org/10.1086/260169.
Rosenthal, S. S., and R. W. Helsley. 1994. “Redevelopment and the urban land price gradient.” J. Urban Econ. 35 (2): 182–200. https://doi.org/10.1006/juec.1994.1012.
Samuelson, P. A. 1965. “Rational theory of warrant pricing.” Ind. Manage. Rev. (pre-1986) 6 (2): 13.
Sing, T. F., and C. W. J. Lim. 2004. “Value of Collective Effort: Redevelopment Timing Options of Enbloc Sale Sites in Singapore.” Pac. Rim Prop. Res. J. 10 (2): 193–214. https://doi.org/10.1080/14445921.2004.11104160.
Sing, T. F., S. M. Yu, and S. E. Ong. 2002. “‘White’ site valuation: A real option approach care.” Pac. Rim Prop. Res. J. 8 (2): 140–157. https://doi.org/10.1080/14445921.2002.11104120.
Titman, S. 1985. “Urban land prices under uncertainty.” Am. Econ. Rev. 75 (3): 505–514.
United States Census Bureau. 2008. “American housing survey (AHS).” Accessed November 19, 2019. https://www.census.gov/programs-surveys/ahs/.
URA (Urban Renewal Authority). 2011. Urban Renewal Authority annual report 2010–2011. Hong Kong: Urban Renewal Authority.
Wheaton, W. C. 1982. “Urban residential growth under perfect foresight.” J. Urban Econ. 12 (1): 1–21. https://doi.org/10.1016/0094-1190(82)90002-X.
Williams, J. T. 1991. “Real estate development as an option.” J. Real Estate Finance Econ. 4 (2): 191–208. https://doi.org/10.1007/BF00173124.
Williams, J. T. 1997. “Redevelopment of real assets.” Real Estate Econ. 25 (3): 387–407. https://doi.org/10.1111/1540-6229.00720.
Wong, S. K., K. W. Chau, K. Karato, and C. Shimizu. 2018. “Separating the age effect from a repeat sales index: Land and structure decomposition.” J. Real Estate Finance Econ. 57 (3): 351–366.
Yau, Y. 2011. “Collectivism and activism in housing management in Hong Kong.” Habitat Int. 35 (2): 327–334. https://doi.org/10.1016/j.habitatint.2010.11.006.
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©2019 American Society of Civil Engineers.
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Received: Jul 4, 2018
Accepted: Jun 18, 2019
Published online: Dec 23, 2019
Published in print: Mar 1, 2020
Discussion open until: May 23, 2020
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