American options and callable bonds under stochastic interest rates and endogenous bankruptcy (Q660162)

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scientific article; zbMATH DE number 6000242
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American options and callable bonds under stochastic interest rates and endogenous bankruptcy
scientific article; zbMATH DE number 6000242

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    American options and callable bonds under stochastic interest rates and endogenous bankruptcy (English)
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    26 January 2012
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    This paper introduces a new method for pricing American equity options under a general multifactor diffusion model. The author shows that the efficiency of the proposed method depends on both a viable valuation method and the transition density of the state variables in the model. In the case of the Gauss-Markov stochastic interest rate environment, the proposed valuation method is shown to offer a much better accuracy-efficiency trade-off than some existing approximation methods. The author has also applied the proposed method to price callable corporate bonds in the context of an endogenous bankruptcy structural model.
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    American options
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    optimal stopping time
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    convolutions
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    stochastic interest rates
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    callable defaultable bonds
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