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Pricing permanent convertible bonds in EVG model

Pricing permanent convertible bonds in EVG model
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摘要 By considering the failure of normal distribution and continuous assumption in financial modeling, this paper attempts to apply the Exponential Variance Gamma (EVG) model into the pricing framework of permanent convertible bonds with call clause. Following framework of Gapeev & Kiihn(2005), we obtain an explicit solution to the bond price and optimal stopping strategies, which shows that the new pricing framework is quite different from the continuous model and even the Jump Diffusion model. Compared with the numerical calculation, the closed form results price convertible bonds quickly and accurately. By considering the failure of normal distribution and continuous assumption in financial modeling, this paper attempts to apply the Exponential Variance Gamma (EVG) model into the pricing framework of permanent convertible bonds with call clause. Following framework of Gapeev & Kiihn(2005), we obtain an explicit solution to the bond price and optimal stopping strategies, which shows that the new pricing framework is quite different from the continuous model and even the Jump Diffusion model. Compared with the numerical calculation, the closed form results price convertible bonds quickly and accurately.
出处 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2012年第3期268-280,共13页 高校应用数学学报(英文版)(B辑)
基金 Supported by the Key Grant Project of Chinese Ministry of Education (309018) National Natural Science Foundation of China (70973140, 11171304) Zhejiang Provincial Natural Science Foundation of China(Y6110023)
关键词 convertible bond call clause variance gamma process. convertible bond, call clause, variance gamma process.
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  • 1A Almendral, C W Oosterlee. On American options under the variance gamma process, Appl Math Finance, 2007, 14(2): 131-152.
  • 2A N Avramidis, P LEcuyer, P A Tremblay. Efficient simulation of gamma and variance-gamma pro- cesses, In: Proceedings of the 2003 Winter Simulation Conference, IEEE, Piscataway, N J, 2003: 319-326.
  • 3M J Brennan, E S Schwartz. Analyzing convertible bonds, J Financ Quant Anal, 1980, 15(4): 907- 929.
  • 4P Carayannopoulos, M Kalimipalli. Convertible bond prices and inherent biases, J Fixed Income, 2003, 13: 64-73.
  • 5J Cariboni, W Schoutens. Pricing credit default swaps under Ldvy models, UCS Report 2004-07, K.U. Leuven, 2004.
  • 6P P Carr, D B Madam Option valuation using the last Fourier transform, J Comp Finance, 1999, 2: 61-73.
  • 7ECChang. The variance gamma process and option pricing, European Finance Rev, 1999, 2: 61-73.
  • 8E F Fama. The behavior of stock market prices, J Bus, 1965, 38: 34-105.
  • 9F Fiorani. The variance-gamma process for option pricing, Working paper, 2001.
  • 10P V Gapeev, C Kfihn. Perpetual convertible bonds in jump-diffusion models, Statist Decisions, 2005, 23: 15-31.

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