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A reduced-form model for lease contract valuation with embedded options

Author

Listed:
  • Chuang-Chang Chang

    (National Central University)

  • Hsiao-Wei Ho

    (National Taiwan Ocean University)

  • Henry Hongren Huang

    (National Central University)

  • Yildiray Yildirim

    (The City University of New York (CUNY))

Abstract

This paper provides an analytical formula for valuing lease contracts in the most general case, including adjustable leases, with cancellation, purchase, and default options. We then illustrate the numerical implementation of our model. Numerical analysis reveals that the lessor offers a discount on the initial rent for a longer-term lease contract but charges an additional amount for cancelation, purchase, and default risk compared to the contract without any embedded options. This result suggests that ignoring embedded options in valuing a lease contract leads to significant pricing errors. Thus, we provide a framework to value complex lease contracts and enhance real-estate lease portfolio management efficiency.

Suggested Citation

  • Chuang-Chang Chang & Hsiao-Wei Ho & Henry Hongren Huang & Yildiray Yildirim, 2024. "A reduced-form model for lease contract valuation with embedded options," Review of Quantitative Finance and Accounting, Springer, vol. 62(2), pages 841-864, February.
    • Handle: RePEc:kap:rqfnac:v:62:y:2024:i:2:d:10.1007_s11156-023-01222-8
    DOI: 10.1007/s11156-023-01222-8
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    References listed on IDEAS

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    1. Jarrow, Robert & Van Deventer, Donald R., 2023. "A bottom-up, reduced form credit risk model approach for the determination of collateralised loan obligation capital," Journal of Risk Management in Financial Institutions, Henry Stewart Publications, vol. 16(3), pages 237-255, June.
    2. Ons Triki & Fathi Abid, 2022. "Contingent convertible lease modeling and credit risk management," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 8(1), pages 1-29, December.
    3. repec:bla:jfinan:v:53:y:1998:i:1:p:131-162 is not listed on IDEAS
    4. Ambrose, Brent W & Hendershott, Patric H & Klosek, Malgorzata, 2002. "Pricing Upward-Only Adjusting Leases," The Journal of Real Estate Finance and Economics, Springer, vol. 25(1), pages 33-49, July.
    5. Eric Clapham & Åke Gunnelin, 2003. "Rental Expectations and the Term Structure of Lease Rates," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 31(4), pages 647-670, December.
    6. Steven R. Grenadier, 2005. "An Equilibrium Analysis of Real Estate Leases," The Journal of Business, University of Chicago Press, vol. 78(4), pages 1173-1214, July.
    7. Robert A. Jarrow & Stuart M. Turnbull, 2008. "Pricing Derivatives on Financial Securities Subject to Credit Risk," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 17, pages 377-409, World Scientific Publishing Co. Pte. Ltd..
    8. Jonathan A. Wiley, 2014. "Gross Lease Premiums," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 42(3), pages 606-626, September.
    9. Richard Stanton & Nancy Wallace, 2009. "An Empirical Test of a Contingent Claims Lease Valuation Model," Journal of Real Estate Research, American Real Estate Society, vol. 31(1), pages 1-26.
    10. Brent Ambrose & Yildiray Yildirim, 2008. "Credit Risk and the Term Structure of Lease Rates: A Reduced Form Approach," The Journal of Real Estate Finance and Economics, Springer, vol. 37(3), pages 281-298, October.
    11. Gerald Buetow, Jr. & Joseph Albert, 1998. "The Pricing of Embedded Options in Real Estate Lease Contracts," Journal of Real Estate Research, American Real Estate Society, vol. 15(3), pages 253-266.
    12. Chris Kenyon & Stathis Tompaidis, 2001. "Real Options in Leasing: The Effect of Idle Time," Operations Research, INFORMS, vol. 49(5), pages 675-689, October.
    13. Li, Shaoyu & Huang, Henry H. & Zhang, Teng, 2020. "Generalized affine transform on pricing quanto range accrual note," The North American Journal of Economics and Finance, Elsevier, vol. 54(C).
    14. Agarwal, Sumit & Ambrose, Brent W. & Huang, Hongming & Yildirim, Yildiray, 2011. "The Term Structure of Lease Rates with Endogenous Default Triggers and Tenant Capital Structure: Theory and Evidence," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 46(2), pages 553-584, April.
    15. Szu‐Lang Liao & Ming‐Shann Tsai & Shu‐Ling Chiang, 2008. "Closed‐Form Mortgage Valuation Using Reduced‐Form Model," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 36(2), pages 313-347, June.
    16. McConnell, John J. & Schallheim, James S., 1983. "Valuation of asset leasing contracts," Journal of Financial Economics, Elsevier, vol. 12(2), pages 237-261, August.
    17. Mikhail Chernov & Brett R. Dunn & Francis A. Longstaff, 2018. "Macroeconomic-Driven Prepayment Risk and the Valuation of Mortgage-Backed Securities," The Review of Financial Studies, Society for Financial Studies, vol. 31(3), pages 1132-1183.
    18. Robert A. Jarrow & Fan Yu, 2008. "Counterparty Risk and the Pricing of Defaultable Securities," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 20, pages 481-515, World Scientific Publishing Co. Pte. Ltd..
    19. Andreas D. Christopoulos & Robert A. Jarrow & Yildiray Yildirim, 2008. "Commercial Mortgage‐Backed Securities (CMBS) and Market Efficiency with Respect to Costly Information," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 36(3), pages 441-498, September.
    20. Robert Jarrow & Yildiray Yildirim, 2008. "Pricing Treasury Inflation Protected Securities and Related Derivatives using an HJM Model," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 16, pages 349-370, World Scientific Publishing Co. Pte. Ltd..
    21. Eric Clapham, 2003. "A Note on Embedded Lease Options," Journal of Real Estate Research, American Real Estate Society, vol. 25(3), pages 347-360.
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    More about this item

    Keywords

    Credit risk; Embedded options; Reduced-form model; Lease rate;
    All these keywords.

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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