| 利率与违约过程相关的信用贷款定价 |
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| 引用本文： | 詹原瑞,么向华. 利率与违约过程相关的信用贷款定价[J]. 系统工程学报, 2006, 21(3): 254-259 |
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| 作者姓名： | 詹原瑞 么向华 |
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| 作者单位： | 天津大学管理学院,天津,300072 |
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| 基金项目： | 国家自然科学基金资助项目(70573076)，高等学校博士学科专项科研基金(20050056057) |
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| 摘 要： | 在分析信用贷款和简化模型主要特征的基础上,针对利率过程与违约过程相关的情况,提出了应用简化模型解决银行信用贷款定价问题的建模思想.通过在风险中性测度下计算贷款成本支出和收入的现金流,建立了盈亏平衡下定价模型的框架,数学推导出了定价公式.得出了盈亏平衡条件下信用贷款利率的风险升水取决于贷款客户的信用等级、贷款期限,以及无违约债券利率的结论,并在一定假设条件下,与银行授信额度,客户实际使用额度情况无关.
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| 关 键 词： | 简化模型 信用贷款 相关 定价 |
| 文章编号： | 1000-5781（2006）03-0254-06 |
| 收稿时间： | 2005-07-14 |
| 修稿时间： | 2005-07-142005-11-07 |
Pricing a credit loan in the case of the interest rate process being correlated with the default process |
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| ZHAN Yuan-rui,YAO Xiang-hua. Pricing a credit loan in the case of the interest rate process being correlated with the default process[J]. Journal of Systems Engineering, 2006, 21(3): 254-259 |
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| Authors: | ZHAN Yuan-rui YAO Xiang-hua |
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| Affiliation: | School of Management, Tianjin University, Tianjin 300072, China |
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| Abstract: | Based on analyzing the main characters of the credit loan and reduced form models,in the case of the interest rate process being correlated with the default process,the modeling idea on pricing the credit loan is presented by applying the reduced form models.Through calculating the cost and income fund flows under the risk neutral measures,a framework of a "break-even" pricing model is established,and a mathematic formula of pricing a credit loan is deduced.The conclusion conditioned on "break-even" point is that the risk premium of the interest rate in a credit loan is not related to the maximum authorized amount and the drawdown amount under some conditions,but is only rested with credit rank and loan term of a borrower,as well as the interest rate of default-free bond. |
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| Keywords: | reduced form models credit loan correlation pricing |
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