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A Note on the Pricing of Real Estate Index Linked Swaps

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Author Info

  • Björk, Tomas

    ()
    (Dept. of Finance, Stockholm School of Economics)

  • Clapham, Eric

    ()
    (Dept. of Finance, Stockholm School of Economics)

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    Abstract

    In this paper we discuss the pricing of commercial real estate index linked swaps (CREILS). This particular pricing problem has been studied by Buttimer et al. (1997) in a previous paper. We show that their results are only approximately correct and that the true theoretical price of the swap is in fact equal to zero. This result is shown to hold regardless of the specific model chosen for the index process, the dividend process, and the interest rate term structure. We provide an intuitive economic argument as well as a full mathematical proof of our result. In particular we show that the nonzero result in the previous paper is due to two specific numerical approximations introduced in that paper, and we discuss these approximation errors from a theoretical as well as from a numerical point of view.

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    File URL: http://swopec.hhs.se/hastef/papers/hastef0492.pdf
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    Bibliographic Info

    Paper provided by Stockholm School of Economics in its series Working Paper Series in Economics and Finance with number 492.

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    Length: 14 pages
    Date of creation: 13 Feb 2002
    Date of revision:
    Handle: RePEc:hhs:hastef:0492

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    Postal: The Economic Research Institute, Stockholm School of Economics, P.O. Box 6501, 113 83 Stockholm, Sweden
    Phone: +46-(0)8-736 90 00
    Fax: +46-(0)8-31 01 57
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    Web page: http://www.hhs.se/
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    Related research

    Keywords: Real estate; index linked swaps; arbitrage;

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    References

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    1. Harrison, J. Michael & Pliska, Stanley R., 1981. "Martingales and stochastic integrals in the theory of continuous trading," Stochastic Processes and their Applications, Elsevier, vol. 11(3), pages 215-260, August.
    2. 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.
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    Cited by:
    1. Drouhin, Pierre-Arnaud, 2012. "Caractéristiques statistiques et dynamique de prix des produits dérivés immobiliers," Economics Thesis from University Paris Dauphine, Paris Dauphine University, number 123456789/10918 edited by Batsch, Laurent, November.
    2. Frank Fabozzi & Robert Shiller & Radu Tunaru, 2009. "Property Derivatives for Managing European Real-Estate Risk," Yale School of Management Working Papers amz2652, Yale School of Management, revised 01 Sep 2009.
    3. Ming Pu & Gang-Zhi Fan & Seow Ong, 2012. "Heterogeneous Agents and the Indifference Pricing of Property Index Linked Swaps," The Journal of Real Estate Finance and Economics, Springer, vol. 44(4), pages 543-569, May.
    4. Juerg Syz & Paolo Vanini, 2011. "Arbitrage Free Price Bounds for Property Derivatives," The Journal of Real Estate Finance and Economics, Springer, vol. 43(3), pages 281-298, October.

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