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A Theoretic Analysis of Extent of Lender Participation in a Participating Mortgage

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  • Jaime Alvayay
  • Charles Harter
  • WM. Smith

Abstract

A participating mortgage is a loan in which a lender accepts a below-market coupon rate in return for a share (participation) in the cash flows generated by income-producing real property. The cash flows provided by participation are classified as contingent interest and are intended to compensate the lender for additional risk exposure as well as the reduction in coupon rate. In this paper, we present a partial equilibrium wealth-maximizing model to estimate the extent of lender participation and an analysis of the factors affecting it. The results of formal comparative statics analysis show that the lender's percentage participation is, in general, positively related to changes in the loan-to-value ratio and threshold cash flows above which participation is payable. Among yet other results, a change in the contracted loan life has an ambiguous effect on the lender's percentage participation. Then, in an effort to resolve ambiguities in the comparative statics results, we employ a numerical procedure in conducting sensitivity analyses. This allows us to estimate percentage participation levels, and their elasticities, under various assumptions regarding the underlying factors. Copyright Springer Science + Business Media, Inc. 2005

Suggested Citation

  • Jaime Alvayay & Charles Harter & WM. Smith, 2005. "A Theoretic Analysis of Extent of Lender Participation in a Participating Mortgage," Review of Quantitative Finance and Accounting, Springer, vol. 25(4), pages 383-411, December.
    • Handle: RePEc:kap:rqfnac:v:25:y:2005:i:4:p:383-411
    DOI: 10.1007/s11156-005-5461-z
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    References listed on IDEAS

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    1. Duffie, Darrell & Singleton, Kenneth J, 1999. "Modeling Term Structures of Defaultable Bonds," The Review of Financial Studies, Society for Financial Studies, vol. 12(4), pages 687-720.
    2. M. Shahid Ebrahim, 1996. "On the Design and Pareto‐Optimality of Participating Mortgages," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 24(3), pages 407-419, September.
    3. Geske, Robert, 1977. "The Valuation of Corporate Liabilities as Compound Options," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(4), pages 541-552, November.
    4. Johnson, Herb & Stulz, Rene, 1987. "The Pricing of Options with Default Risk," Journal of Finance, American Finance Association, vol. 42(2), pages 267-280, June.
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    Cited by:

    1. Ebrahim, M. Shahid & Shackleton, Mark B. & Wojakowski, Rafal M., 2011. "Participating mortgages and the efficiency of financial intermediation," Journal of Banking & Finance, Elsevier, vol. 35(11), pages 3042-3054, November.
    2. Varli, Yusuf & Yildirim, Yildiray, 2015. "Default and prepayment modelling in participating mortgages," Journal of Banking & Finance, Elsevier, vol. 61(C), pages 81-88.

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