利率与违约过程相关的信用贷款定价被引量：3

Pricing a credit loan in the case of the interest rate process being correlated with the default process

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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. 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 ＂breakeven＂ 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.

作者詹原瑞么向华

机构地区天津大学管理学院

出处《系统工程学报》 CSCD 北大核心 2006年第3期254-259,共6页 Journal of Systems Engineering

基金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)

关键词简化模型信用贷款相关定价 reduced form models credit loan correlation pricing

分类号 F830.54 [经济管理—金融学]

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1Duffle D, Singleton K. Modeling term structures of default risky bonds[J]. Review of Financial Studies, 1999, (12) : 687-72.
2Merton R C. On the pricing of corporate debt: The risk structure of interest rates[J]. The Journal of Finance, 1974, (2) : 449-270.
3Longstaff F A, Eduardo S. Schwartz E. A simple approach to valuing risky and floating rate debt [ J ]. The Journal of Finance,1995, (3) : 789-819.
4Jarrow R A, Protter P. Structural versus reduced form models: A new information based perspective[J]. Journal of Investment Management, 2004, 2: 1-10.
5Hughston L P, Turnbull S M. Credit risk: Constructing the basic building blocks[J]. Economic Notes, 2001, 2: 281-292.
6Harrison J M, Pliska S. Martingales and stochastic integrals in the theory of continuous trading[J]. Stochastic Processes and Their Applications, 1981, ( 11 ) : 215-260.
7Bielecki T R, Rutkowski M. Credit Risk: Modeling, Valuation and Hedging[ M]. Berlin, Heidelberg, New York: Springer-Verlag,2002. 143.
8Bielecki T R, Rutkowski M. Credit Risk: Modehng, Valuation and Hedging[M]. Berlin, Heidelberg, New York: Springer-Verlag,2002. 145.
9Bakshi G, Madan D, Zhang F. Understanding the role of recovery in default risk models empirical comparisons and imphed recovery rates[R], working paper, University of Maryland, 2001.