IDEAS home Printed from https://ideas.repec.org/a/kap/jrefec/v34y2007i1p135-157.html
   My bibliography  Save this article

Sequential American Exchange Property Options

Author

Listed:
  • Dean Paxson

Abstract

Property development activities often occur in stages, which are appropriately modeled as sequential American exchange property options, where there are interim expenditures required in order to keep the property development options “alive”. Normally American exchange options require a numerical solution, but herein there is a new closed-form approximate solution, which is computationally efficient and accurate. This method combines repeats of Margrabe European exchange and Geske compound option solutions with tight upper boundaries of either American perpetuities or European exchange options with a high volatility. Illustrations are provided of the sensitivity of the real sequential options and optimal timing to changes in several parameters, which provide a framework for property policy (tax, subsidy and regulatory) guidelines and for property development strategy evaluation. There are several plausible applications of these real option models in commercial and residential property development, within commercial property leases, with regard to switching tenants, and agricultural alternatives. Copyright Springer Science+Business Media, LLC 2007

Suggested Citation

  • Dean Paxson, 2007. "Sequential American Exchange Property Options," The Journal of Real Estate Finance and Economics, Springer, vol. 34(1), pages 135-157, January.
    • Handle: RePEc:kap:jrefec:v:34:y:2007:i:1:p:135-157
    DOI: 10.1007/s11146-007-9003-4
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s11146-007-9003-4
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s11146-007-9003-4?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. ,, 1998. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 14(5), pages 687-698, October.
    2. Olsen, Trond E. & Stensland, Gunnar, 1992. "On optimal timing of investment when cost components are additive and follow geometric diffusions," Journal of Economic Dynamics and Control, Elsevier, vol. 16(1), pages 39-51, January.
    3. Carr, Peter P, 1988. " The Valuation of Sequential Exchange Opportunities," Journal of Finance, American Finance Association, vol. 43(5), pages 1235-1256, December.
    4. Gonzalo Cortazar & Eduardo S. Schwartz & Marcelo Salinas, 1998. "Evaluating Environmental Investments: A Real Options Approach," Management Science, INFORMS, vol. 44(8), pages 1059-1070, August.
    5. Childs, Paul D. & Ott, Steven H. & Triantis, Alexander J., 1998. "Capital Budgeting for Interrelated Projects: A Real Options Approach," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 33(3), pages 305-334, September.
    6. Bar-Ilan, Avner & Strange, William C., 1998. "A model of sequential investment," Journal of Economic Dynamics and Control, Elsevier, vol. 22(3), pages 437-463, March.
    7. Jongwoo Lee & Dean Paxson, 2003. "Confined exponential approximations for the valuation of American options," The European Journal of Finance, Taylor & Francis Journals, vol. 9(5), pages 449-474.
    8. Geske, Robert, 1979. "The valuation of compound options," Journal of Financial Economics, Elsevier, vol. 7(1), pages 63-81, March.
    9. ,, 1998. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 14(3), pages 381-386, June.
    10. ,, 1998. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 14(4), pages 525-537, August.
    11. Quigg, Laura, 1993. "Empirical Testing of Real Option-Pricing Models," Journal of Finance, American Finance Association, vol. 48(2), pages 621-640, June.
    12. 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.
    13. ,, 1998. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 14(2), pages 285-292, April.
    14. Geske, Robert & Johnson, Herb E, 1984. "The American Put Option Valued Analytically," Journal of Finance, American Finance Association, vol. 39(5), pages 1511-1524, December.
    15. Mark Broadie & Jérôme Detemple, 1997. "The Valuation of American Options on Multiple Assets," Mathematical Finance, Wiley Blackwell, vol. 7(3), pages 241-286, July.
    16. ,, 1998. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 14(1), pages 151-159, February.
    17. Avinash K. Dixit & Robert S. Pindyck, 1994. "Investment under Uncertainty," Economics Books, Princeton University Press, edition 1, number 5474.
    18. Joseph T. Williams, 1997. "Redevelopment of Real Assets," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 25(3), pages 387-407, September.
    19. Jeffrey D. Fisher & George H. Lentz & K.S. Maurice Tse, 1992. "Valuation of the Effects of Asbestos on Commercial Real Estate," Journal of Real Estate Research, American Real Estate Society, vol. 7(3), pages 331-350.
    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. Michael J. P. Selby & Stewart D. Hodges, 1987. "On the Evaluation of Compound Options," Management Science, INFORMS, vol. 33(3), pages 347-355, March.
    22. Margrabe, William, 1978. "The Value of an Option to Exchange One Asset for Another," Journal of Finance, American Finance Association, vol. 33(1), pages 177-186, March.
    23. Lentz, George H & Tse, K S Maurice, 1995. "An Option Pricing Approach to the Valuation of Real Estate Contaminated with Hazardous Materials," The Journal of Real Estate Finance and Economics, Springer, vol. 10(2), pages 121-144, March.
    24. Mauer, David C. & Ott, Steven H., 1995. "Investment under Uncertainty: The Case of Replacement Investment Decisions," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 30(4), pages 581-605, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Wang, Xiandong & He, Jianmin, 2017. "A simple method for generalized sequential compound options pricing," Mathematical Social Sciences, Elsevier, vol. 87(C), pages 85-91.
    2. Jyh-Bang Jou & Tan (Charlene) Lee, 2009. "How Does a Development Moratorium Affect Development Timing Choices and Land Values?," The Journal of Real Estate Finance and Economics, Springer, vol. 39(3), pages 301-315, October.
    3. Abel Cadenillas & Robert Elliott & Hong Miao & Zhenyu Wu, 2009. "Risk-Hedging in Real Estate Markets," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 16(4), pages 265-285, December.
    4. Suvankar Ghosh & Xiaolin Li, 2013. "A Real Options Model for Generalized Meta-Staged Projects---Valuing the Migration to SOA," Information Systems Research, INFORMS, vol. 24(4), pages 1011-1027, December.
    5. Ghosh, Suvankar & Troutt, Marvin D., 2012. "Complex compound option models – Can practitioners truly operationalize them?," European Journal of Operational Research, Elsevier, vol. 222(3), pages 542-552.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Lim, Terence & Lo, Andrew W. & Merton, Robert C. & Scholes, Myron S., 2006. "The Derivatives Sourcebook," Foundations and Trends(R) in Finance, now publishers, vol. 1(5–6), pages 365-572, April.
    2. Lander, Diane M. & Pinches, George E., 1998. "Challenges to the Practical Implementation of Modeling and Valuing Real Options," The Quarterly Review of Economics and Finance, Elsevier, vol. 38(3, Part 2), pages 537-567.
    3. Luis H. R. Alvarez & Erkki Koskela, 2006. "Irreversible Investment under Interest Rate Variability: Some Generalizations," The Journal of Business, University of Chicago Press, vol. 79(2), pages 623-644, March.
    4. Luis H. R. Alvarez & Erkki Koskela, 2002. "Irreversible Investment under Interest Rate Variability: New Results," CESifo Working Paper Series 640, CESifo.
    5. Oliveira, Carlos & Perkowski, Nicolas, 2020. "Optimal investment decision under switching regimes of subsidy support," European Journal of Operational Research, Elsevier, vol. 285(1), pages 120-132.
    6. Sabet, Amir H. & Heaney, Richard, 2017. "Real options and the value of oil and gas firms: An empirical analysis," Journal of Commodity Markets, Elsevier, vol. 6(C), pages 50-65.
    7. Hui Wang, 2005. "A Sequential Entry Problem with Forced Exits," Mathematics of Operations Research, INFORMS, vol. 30(2), pages 501-520, May.
    8. Ke, T. Tony & Villas-Boas, J. Miguel, 2019. "Optimal learning before choice," Journal of Economic Theory, Elsevier, vol. 180(C), pages 383-437.
    9. Luis H. R. Alvarez & Teppo A. Rakkolainen, 2006. "A Class of Solvable Optimal Stopping Problems of Spectrally Negative Jump Diffusions," Discussion Papers 9, Aboa Centre for Economics.
    10. Carlos Andrés Zapata Quimbayo, 2020. "OPCIONES REALES Una guía teórico-práctica para la valoración de inversiones bajo incertidumbre mediante modelos en tiempo discreto y simulación de Monte Carlo," Books, Universidad Externado de Colombia, Facultad de Finanzas, Gobierno y Relaciones Internacionales, number 138, August.
    11. Dolf Talman & Zaifu Yang, 2012. "On a Parameterized System of Nonlinear Equations with Economic Applications," Journal of Optimization Theory and Applications, Springer, vol. 154(2), pages 644-671, August.
    12. Zhiqiang Zheng & Balaji Padmanabhan & Steven O. Kimbrough, 2003. "On the Existence and Significance of Data Preprocessing Biases in Web-Usage Mining," INFORMS Journal on Computing, INFORMS, vol. 15(2), pages 148-170, May.
    13. Herings, P.J.J. & Talman, A.J.J. & Yang, Z.F., 1999. "Variational Inequality Problems With a Continuum of Solutions : Existence and Computation," Other publications TiSEM 73e2f01b-ad4d-4447-95ba-a, Tilburg University, School of Economics and Management.
    14. Carlos R. Handy & Daniel Vrinceanu & Carl B. Marth & Harold A. Brooks, 2015. "Pointwise Reconstruction of Wave Functions from Their Moments through Weighted Polynomial Expansions: An Alternative Global-Local Quantization Procedure," Mathematics, MDPI, vol. 3(4), pages 1-24, November.
    15. Allen C. Goodman & Miron Stano, 2000. "Hmos and Health Externalities: A Local Public Good Perspective," Public Finance Review, , vol. 28(3), pages 247-269, May.
    16. Bode, Sven & Michaelowa, Axel, 2003. "Avoiding perverse effects of baseline and investment additionality determination in the case of renewable energy projects," Energy Policy, Elsevier, vol. 31(6), pages 505-517, May.
    17. Ala, Guido & Fasshauer, Gregory E. & Francomano, Elisa & Ganci, Salvatore & McCourt, Michael J., 2017. "An augmented MFS approach for brain activity reconstruction," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 141(C), pages 3-15.
    18. Jyh-Bang Jou & Tan (Charlene) Lee, 2011. "Mutually exclusive investment with technical uncertainty," Applied Economics, Taylor & Francis Journals, vol. 43(30), pages 4723-4728.
    19. Bettina Campedelli & Andrea Guerrina & Giulia Romano & Chiara Leardini, 2014. "La performance della rete ospedaliera pubblica della regione Veneto. L?impatto delle variabili ambientali e operative sull?efficienza," MECOSAN, FrancoAngeli Editore, vol. 2014(92), pages 119-142.
    20. Haider A. Khan, 2004. "General Conclusions: From Crisis to a Global Political Economy of Freedom," Palgrave Macmillan Books, in: Global Markets and Financial Crises in Asia, chapter 9, pages 193-211, Palgrave Macmillan.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:kap:jrefec:v:34:y:2007:i:1:p:135-157. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.