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Simulation-Based Pricing of Convertible Bonds

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Author Info
Manuel Ammann (University of St. Gallen)
Axel Kind (University of St. Gallen)
Christian Wilde (Johann Wolfgang Goethe University Frankfurt)

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Abstract

We propose and empirically study a pricing model for convertible bonds based on Monte Carlo simulation. The method uses parametric representations of the early exercise decisions and consists of two stages. Pricing convertible bonds with the proposed Monte Carlo approach allows us to better capture both the dynamics of the underlying state variables and the rich set of real-world convertible bond specifications. Furthermore, using the simulation model proposed, we present an empirical pricing study of the US market, using 32 convertible bonds and 69 months of daily market prices. Our results do not confirm the evidence of previous studies that market prices of convertible bonds are on average lower than prices generated by a theoretical model. Similarly, our study is not supportive of a strong positive relationship between moneyness and mean pricing error, as argued in the literature.

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Publisher Info
Paper provided by EconWPA in its series Finance with number 0507015.

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Length: 42 pages
Date of creation: 16 Jul 2005
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Handle: RePEc:wpa:wuwpfi:0507015

Note: Type of Document - pdf; pages: 42
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Web page: http://129.3.20.41

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Related research
Keywords: Convertible bonds; Pricing; American Options; Monte Carlo simulation;

Other versions of this item:

Find related papers by JEL classification:
G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Boyle, Phelim & Broadie, Mark & Glasserman, Paul, 1997. "Monte Carlo methods for security pricing," Journal of Economic Dynamics and Control, Elsevier, vol. 21(8-9), pages 1267-1321, June. [Downloadable!] (restricted)
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    Other versions:
  6. Ait-Sahalia, Yacine, 1996. "Nonparametric Pricing of Interest Rate Derivative Securities," Econometrica, Econometric Society, vol. 64(3), pages 527-60, May. [Downloadable!] (restricted)
    Other versions:
  7. Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1985. "A Theory of the Term Structure of Interest Rates," Econometrica, Econometric Society, vol. 53(2), pages 385-407, March. [Downloadable!] (restricted)
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  12. Wolfgang Bühler & Christian Koziol, 2002. "Valuation Of Convertible Bonds With Sequential Conversion," Schmalenbach Business Review (sbr), LMU Munich School of Management, vol. 54(4), pages 302-334, October. [Downloadable!]
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Axel Kind, 2005. "Pricing American-Style Options By Simulation," Financial Markets and Portfolio Management, Springer, vol. 19(1), pages 109-116, June. [Downloadable!] (restricted)
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