J4 ›› 2010, Vol. 45 ›› Issue (8): 109-117.

• Articles • Previous Articles     Next Articles

The pricing of bond with attached warrant under the jump-diffusion model

MIAO Jie 1, SHI Ke 2, CAI Hua 1   

  1. 1. Mathematics Department of Changji College,  Changji 8311002, Xinjiang, China;
    2. College of Mathematics and System Sciences, Xinjiang University,   Urumqi 830046, Xinjiang, China
  • Received:2009-07-02 Online:2010-08-16 Published:2010-09-16

Abstract:

The Martingale method is used to study the pricing of the bond with attached warrant under the jump-diffusion model and obtains the pricing formula of the bond with attached warrant by means of choosing different numeriare and changing the probability measure, Here supposes that the stock price are by the continuous changes of the standard geometric Brown and the jump of the Poisson process, and the interest rate is stochastic.

Key words: bond with attached warrant; equivalent martingale; numeriare; jump-diffusion model

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