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A closed formula for illiquid corporate bonds and an application to the European market

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  • Roberto Baviera
  • Aldo Nassigh
  • Emanuele Nastasi

Abstract

We propose an option approach for pricing bond illiquidity that is reminiscent of the celebrated work of Longstaff (1995) on the non-marketability of some non-dividend-paying shares in IPOs. This approach describes a quite common situation in the fixed income market: it is rather usual to find issuers that, besides liquid benchmark bonds, issue some other bonds that either are placed to a small number of investors in private placements or have a limited issue size. We model interest rate and credit risks via a convenient reduced-form approach. We deduce a simple closed formula for illiquid corporate coupon bond prices when liquid bonds with similar characteristics (e.g. maturity) are present in the market for the same issuer. The key model parameter is the time-to-liquidate a position, i.e. the time that an experienced bond trader takes to liquidate a given position on a corporate coupon bond. We show that illiquid bonds present an additional liquidity spread that depends on the time-to-liquidate aside from bond volatility. We provide a detailed application for two issuers in the European market.

Suggested Citation

  • Roberto Baviera & Aldo Nassigh & Emanuele Nastasi, 2019. "A closed formula for illiquid corporate bonds and an application to the European market," Papers 1901.06855, arXiv.org, revised May 2020.
  • Handle: RePEc:arx:papers:1901.06855
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    References listed on IDEAS

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    1. Bessembinder, Hendrik & Maxwell, William & Venkataraman, Kumar, 2006. "Market transparency, liquidity externalities, and institutional trading costs in corporate bonds," Journal of Financial Economics, Elsevier, vol. 82(2), pages 251-288, November.
    2. Francis A. Longstaff & Sanjay Mithal & Eric Neis, 2005. "Corporate Yield Spreads: Default Risk or Liquidity? New Evidence from the Credit Default Swap Market," Journal of Finance, American Finance Association, vol. 60(5), pages 2213-2253, October.
    3. Fabrizio Lillo & J. Doyne Farmer & Rosario N. Mantegna, 2003. "Master curve for price-impact function," Nature, Nature, vol. 421(6919), pages 129-130, January.
    4. Roberto Baviera, 2017. "Back-of-the-envelope swaptions in a very parsimonious multicurve interest rate model," Papers 1712.06466, arXiv.org.
    5. Dick-Nielsen, Jens & Feldhütter, Peter & Lando, David, 2012. "Corporate bond liquidity before and after the onset of the subprime crisis," Journal of Financial Economics, Elsevier, vol. 103(3), pages 471-492.
    6. Longstaff, Francis A, 1995. "How Much Can Marketability Affect Security Values?," Journal of Finance, American Finance Association, vol. 50(5), pages 1767-1774, December.
    7. Helwege, Jean & Huang, Jing-Zhi & Wang, Yuan, 2014. "Liquidity effects in corporate bond spreads," Journal of Banking & Finance, Elsevier, vol. 45(C), pages 105-116.
    8. Raphael Schestag & Philipp Schuster & Marliese Uhrig-Homburg, 2016. "Measuring Liquidity in Bond Markets," The Review of Financial Studies, Society for Financial Studies, vol. 29(5), pages 1170-1219.
    9. Jean-Philippe Bouchaud & J. Doyne Farmer & Fabrizio Lillo, 2008. "How markets slowly digest changes in supply and demand," Papers 0809.0822, arXiv.org.
    10. Paul Asquith & Thom Covert & Parag Pathak, 2013. "The Effects of Mandatory Transparency in Financial Market Design: Evidence from the Corporate Bond Market," NBER Working Papers 19417, National Bureau of Economic Research, Inc.
    11. Hull, John & White, Alan, 1990. "Pricing Interest-Rate-Derivative Securities," The Review of Financial Studies, Society for Financial Studies, vol. 3(4), pages 573-592.
    12. 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.
    13. Jim Gatheral, 2010. "No-dynamic-arbitrage and market impact," Quantitative Finance, Taylor & Francis Journals, vol. 10(7), pages 749-759.
    14. David Heath & Robert Jarrow & Andrew Morton, 2008. "Bond Pricing And The Term Structure Of Interest Rates: A New Methodology For Contingent Claims Valuation," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 13, pages 277-305, World Scientific Publishing Co. Pte. Ltd..
    15. Kyle, Albert S, 1985. "Continuous Auctions and Insider Trading," Econometrica, Econometric Society, vol. 53(6), pages 1315-1335, November.
    16. Amy K. Edwards & Lawrence E. Harris & Michael S. Piwowar, 2007. "Corporate Bond Market Transaction Costs and Transparency," Journal of Finance, American Finance Association, vol. 62(3), pages 1421-1451, June.
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