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Two-factor convertible bonds valuation using the method of characteristics/finite elements

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  • Barone-Adesi, Giovanni
  • Bermudez, Ana
  • Hatgioannides, John

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  • Barone-Adesi, Giovanni & Bermudez, Ana & Hatgioannides, John, 2003. "Two-factor convertible bonds valuation using the method of characteristics/finite elements," Journal of Economic Dynamics and Control, Elsevier, vol. 27(10), pages 1801-1831, August.
  • Handle: RePEc:eee:dyncon:v:27:y:2003:i:10:p:1801-1831
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    1. Harrison, J. Michael & Kreps, David M., 1979. "Martingales and arbitrage in multiperiod securities markets," Journal of Economic Theory, Elsevier, vol. 20(3), pages 381-408, June.
    2. Dietmar Leisen & Matthias Reimer, 1996. "Binomial models for option valuation - examining and improving convergence," Applied Mathematical Finance, Taylor & Francis Journals, vol. 3(4), pages 319-346.
    3. Duffee, Gregory R, 1996. " Idiosyncratic Variation of Treasury Bill Yields," Journal of Finance, American Finance Association, vol. 51(2), pages 527-551, June.
    4. Bliss, Robert R & Ronn, Ehud I, 1998. "Callable U.S. Treasury Bonds: Optimal Calls, Anomalies, and Implied Volatilities," The Journal of Business, University of Chicago Press, vol. 71(2), pages 211-252, April.
    5. Ingersoll, Jonathan E, Jr, 1977. "An Examination of Corporate Call Policies on Convertible Securities," Journal of Finance, American Finance Association, vol. 32(2), pages 463-478, May.
    6. John C. Cox & Jonathan E. Ingersoll Jr. & Stephen A. Ross, 2005. "A Theory Of The Term Structure Of Interest Rates," World Scientific Book Chapters,in: Theory Of Valuation, chapter 5, pages 129-164 World Scientific Publishing Co. Pte. Ltd..
    7. McConnell, John J & Schwartz, Eduardo S, 1986. " LYON Taming," Journal of Finance, American Finance Association, vol. 41(3), pages 561-576, July.
    8. Robert C. Merton, 2005. "Theory of rational option pricing," World Scientific Book Chapters,in: Theory Of Valuation, chapter 8, pages 229-288 World Scientific Publishing Co. Pte. Ltd..
    9. Hull, John & White, Alan, 1990. "Pricing Interest-Rate-Derivative Securities," Review of Financial Studies, Society for Financial Studies, vol. 3(4), pages 573-592.
    10. Duffie, Darrell & Singleton, Kenneth J, 1999. "Modeling Term Structures of Defaultable Bonds," Review of Financial Studies, Society for Financial Studies, vol. 12(4), pages 687-720.
    11. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    12. Buttler, Hans-Jurg, 1995. "Evaluation of Callable Bonds: Finite Difference Methods, Stability and Accuracy," Economic Journal, Royal Economic Society, vol. 105(429), pages 374-384, March.
    13. K. G. Nyborg, 1996. "The use and pricing of convertible bonds," Applied Mathematical Finance, Taylor & Francis Journals, vol. 3(3), pages 167-190.
    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. Brennan, M J & Schwartz, Eduardo S, 1977. "Convertible Bonds: Valuation and Optimal Strategies for Call and Conversion," Journal of Finance, American Finance Association, vol. 32(5), pages 1699-1715, December.
    16. Jalan, P. & Barone-Adesi, G., 1995. "Equity financing and corporate convertible bond policy," Journal of Banking & Finance, Elsevier, vol. 19(2), pages 187-206, May.
    17. Hans-Jürg Büttler & Jorg Waldvogel, 1996. "Pricing Callable Bonds By Means Of Green'S Function," Mathematical Finance, Wiley Blackwell, vol. 6(1), pages 53-88.
    18. D. M. Pooley & P. A. Forsyth & K. R. Vetzal & R. B. Simpson, 2000. "Unstructured meshing for two asset barrier options," Applied Mathematical Finance, Taylor & Francis Journals, vol. 7(1), pages 33-60.
    19. Zvan, R. & Vetzal, K. R. & Forsyth, P. A., 2000. "PDE methods for pricing barrier options," Journal of Economic Dynamics and Control, Elsevier, vol. 24(11-12), pages 1563-1590, October.
    20. Ho, Thomas S Y & Lee, Sang-bin, 1986. " Term Structure Movements and Pricing Interest Rate Contingent Claims," Journal of Finance, American Finance Association, vol. 41(5), pages 1011-1029, December.
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    Cited by:

    1. Ben-Ameur, Hatem & de Frutos, Javier & Fakhfakh, Tarek & Diaby, Vacaba, 2013. "Upper and lower bounds for convex value functions of derivative contracts," Economic Modelling, Elsevier, vol. 34(C), pages 69-75.
    2. repec:eee:reveco:v:49:y:2017:i:c:p:1-16 is not listed on IDEAS
    3. Jonathan A. Batten & Karren Lee-Hwei Khaw & Martin R. Young, 2014. "Convertible Bond Pricing Models," Journal of Economic Surveys, Wiley Blackwell, vol. 28(5), pages 775-803, December.
    4. Karakaya, Emrah, 2016. "Finite Element Method for forecasting the diffusion of photovoltaic systems: Why and how?," Applied Energy, Elsevier, vol. 163(C), pages 464-475.
    5. Song-Ping Zhu & Jing Zhang, 2012. "How should a convertible bond be decomposed?," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 35(2), pages 113-149, November.
    6. Ammann, Manuel & Kind, Axel & Wilde, Christian, 2008. "Simulation-based pricing of convertible bonds," Journal of Empirical Finance, Elsevier, vol. 15(2), pages 310-331, March.
    7. Feng, Yun & Huang, Bing-hua & Young, Martin & Zhou, Qi-yuan, 2015. "Decomposing and valuing convertible bonds: A new method based on exotic options," Economic Modelling, Elsevier, vol. 47(C), pages 193-206.
    8. Karakaya, Emrah, 2014. "Finite Element Model of the Innovation Diffusion: An Application to Photovoltaic Systems," INDEK Working Paper Series 2014/6, Royal Institute of Technology, Department of Industrial Economics and Management.
    9. Radha Krishn Coonjobeharry & Désiré Yannick Tangman & Muddun Bhuruth, 2016. "A Two-Factor Jump-Diffusion Model For Pricing Convertible Bonds With Default Risk," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 19(06), pages 1-26, September.
    10. Siddiqi, Mazhar A., 2009. "Investigating the effectiveness of convertible bonds in reducing agency costs: A Monte-Carlo approach," The Quarterly Review of Economics and Finance, Elsevier, vol. 49(4), pages 1360-1370, November.
    11. Zhou, Qi-Yuan & Wu, Chong-Feng & Feng, Yun, 2007. "Decomposing and valuing callable convertible bonds: a new method based on exotic options," MPRA Paper 7421, University Library of Munich, Germany.
    12. Lim, Dongjae & Li, Lingfei & Linetsky, Vadim, 2012. "Evaluating callable and putable bonds: An eigenfunction expansion approach," Journal of Economic Dynamics and Control, Elsevier, vol. 36(12), pages 1888-1908.

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