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In the context global financial crisis, the variance of financial asset return is no longer constant. It means that the applicability and the ability of interpretation of the B-S option pricing model based on the constant variance assumption have been challenged unprecedented. To this end, this paper built on the basis of transilient variance pricing model seeks to exampine the pricing of American options and its applications in the pricing of corporate debt value and in the measure of the probability of corporate debt default. According to the derivation of theoretical model and the reuslt of numerical simulation, we get the following conclusions. Firstly, the constant variance model which neglects the transilient risk of firm will result in the underestimate of the probability of debt dafault. As the asset value of firm declines, the greater the jump of risk is, the greater the understimate of the probability of debt defalult is. Secondly, in the transilient variance model, if the corporate asset value declines along with transilient risk, the probability of corporate debt default will jump greatly. Combined with the financial and market data of relevant agencies, we find that if the variance of asset returns jumps suddenly, the probabilities of debt default will increase greatly. Thirdly, as the rise of risk-free rate of return, the probability of corporate debt default will decline, This result indicates that if the givernment cut base interset rates, the interests of creditors may be damaged. In the transilient variance model, the risk of risk-free rate of return will reduce the jump of the probability of debt default induced by the rise of risk. The risk-sensitive coefficient of the probability of corporate debt default has a negative relation with the risk-free rate of return.

목차

1. INTRODUCTION
2. THE MODEL
3. NUMERICAL SIMUATIONS
4. CONCLUSIONS
APPENDIX
REFERENCES

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UCI(KEPA) : I410-ECN-0101-2013-000-001191852