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The Valuation of Inflation-Indexed and FX Convertible Bonds

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Author Info
Yoram Landskroner (Hebrew University)
Alon Raviv (Hebrew University)

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Abstract

Issuing convertible bonds has become a popular way of raising capital by corporations in the last few years. An important subgroup is convertibles linked to a price index or exchange rate. In this paper we extend the convertible pricing models of Tsiveriotis and Fernandes (1998) and McConnell and Schwartz (1986) to the case of indexation of the promised payments of the convertible to a general price index or to the price of foreign exchange. The theoretical framework derived in this paper considers two sources of uncertainty: both the underlying stock price and the consumer-price-index (or equivalently foreign-currency) are stochastic, and incorporate credit risk in the analysis. The extensions of two models enable to establish upper and lower bounds for the price of the indexed convertible. We approximate the pricing equations by using Rubinstein (1994) three-dimensional binomial tree, and we describe the numerical solution. We investigate and compare the models with respect to the characteristics of the issuer, the economic environment and the security’s characteristics. Moreover, we demonstrate the usefulnes and the limitations of the pricing model by using convertible traded on the Tel- Aviv stock exchange.

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Paper provided by EconWPA in its series Finance with number 0401005.

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Length: 49 pages
Date of creation: 18 Jan 2004
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Handle: RePEc:wpa:wuwpfi:0401005

Note: Type of Document - ; pages: 49
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Web page: http://129.3.20.41

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Related research
Keywords: Convertible Bonds Credit Spread Pricing Inflation Foreign- Exchange

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G - Financial Economics

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  4. Ammann, Manuel & Kind, Axel & Wilde, Christian, 2003. "Are convertible bonds underpriced? An analysis of the French market," Journal of Banking & Finance, Elsevier, vol. 27(4), pages 635-653, April. [Downloadable!] (restricted)
  5. McConnell, John J & Schwartz, Eduardo S, 1986. " LYON Taming," Journal of Finance, American Finance Association, vol. 41(3), pages 561-76, July. [Downloadable!] (restricted)
  6. 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. [Downloadable!] (restricted)
  7. Kandel, Shmuel & Ofer, Aharon R & Sarig, Oded, 1993. "Learning from Trading," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 6(3), pages 507-26. [Downloadable!] (restricted)
  8. Benninga, Simon & Björk, Tomas & Wiener, Zvi, 2002. "On the Use of Numeraires in Option pricing," Working Paper Series in Economics and Finance 484, Stockholm School of Economics. [Downloadable!]
  9. 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 637-54, May-June. [Downloadable!] (restricted)
  10. Ho, Teng-Suan & Stapleton, Richard C & Subrahmanyam, Marti G, 1995. "Multivariate Binomial Approximations for Asset Prices with Nonstationary Variance and Covariance Characteristics," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 8(4), pages 1125-52. [Downloadable!] (restricted)
  11. Garman, Mark B. & Kohlhagen, Steven W., 1983. "Foreign currency option values," Journal of International Money and Finance, Elsevier, vol. 2(3), pages 231-237, December. [Downloadable!] (restricted)
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