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1、信贷衍生产品：建模和计算,Credit Derivatives,2023/3/1,摘要,引言信贷产品法规和文档(Legal and Documentation)行业规范（Regulatory environment)复杂信贷产品定价，计算技术和对冲(Hedge)风险管理,2023/3/1,摘要,引言信贷产品法规和文档(Legal and Documentation)行业规范（Regulatory environment)复杂信贷产品定价，计算技术和对冲(Hedge)风险管理,2023/3/1,引言,风险市场（credit risk market)公司债券信贷衍生产品(credit deriva
2、tives)一种能把信贷风险从基础资产中剥离出来，便于交易和管理的衍生工具基本功能：风险有效转换，聚集，分散和重新包装,2023/3/1,信贷衍生产品的增长,Source:ISDA,2023/3/1,市场的参与者,Source:BBA 2003/2004 survey,2023/3/1,市场的参与者,2023/3/1,信贷衍生产品的创新,Source:BBA 2003/2004 survey,2023/3/1,交易的产品？,信贷违约互换(Credit Default Swap,CDS)完全收益互换(Total Return Swap,TRS)信贷短期债券(Credit Linked Note,
3、CLN)信贷组合互换/债券First-to-default basket,nth-to-default basket信贷组合批次债券信贷产品创新Option,futures,indices,constant maturity etc.,2023/3/1,市场最新发展,CDS matching and confirmationStandardisation of documentationTradable Credit fixingsMarket regulation,2023/3/1,摘要,引言信贷产品法规和文档(Legal and Documentation)行业规范（Regulatory
4、environment)复杂信贷产品定价，计算技术和对冲(Hedge)风险管理,2023/3/1,信贷违约互换(CDS),信贷溢价 credit spread,2023/3/1,信贷短期债券(CLN),Special Purpose Vehicle(SPV),息票+到期本金（没有违约）,6%+100,100（开始时）,3.6%+100,100（开始时）,利率互换,2.4%,CDS,2023/3/1,摘要,引言信贷产品法规和文档(Legal and Documentation)行业规范（Regulatory environment)复杂信贷产品定价，计算技术和对冲(Hedge)风险管理,2023
5、/3/1,信贷组合第一个违约互换(FTD),2023/3/1,Senior Class A,CreditTranchedSecurities,SpecialPurposeVehicle,衍生债务抵押债券(CDO),Diversified Pool of,typically,fixed income assets,Credit Risk Transfer through:-Cash“True Sale”-Synthetic using“Credit Default Swaps”,Assets may comprise:Investment Grade Bonds/Loans HY Bonds L
6、everaged Loans Emerging Market Debt ABS/MBS,Assets,Liabilities,Transfer,Credit Risk Transfer for:-Balance Sheet Management-Credit Arbitrage,Mezzanine Class B/C/D,Subordinated,The above is indicative capital structure only,AAA,AA toBBB,NotRated,Ratings,CDO:Collateralized“Debt”Obligations,more encompa
7、ssingterm than other terms such as CBO(“Bonds”)and CLOs(“Loans”),2023/3/1,衍生债务抵押债券的特点,Efficient Portfolio Diversification ToolGain Access to Assets,Otherwise Difficult to AccessChoose Tranche depending upon Risk AppetiteCustomized“Portfolio”meets Investors RequirementsHigher Spread than similarly Ra
8、ted AssetsInvestors receive higher spread premium relative to single name investments for a similar level of risk,2023/3/1,摘要,引言信贷产品法规和文档(Legal and Documentation)行业规范（Regulatory environment)复杂信贷产品定价，计算技术和对冲(Hedge)风险管理,2023/3/1,CDS公平溢价,违约概率(p)恢复率(recovery rate)CDS 现金流,2023/3/1,Semi-analytic Model for
9、 STCDO,n obligorsRandom vector of default time:1,nJoint Distribution and Survival functions:F(t1,tn)=Q(1t1,n tn)S(t1,tn)=Q(1t1,n tn)Q pricing measureF1,Fn;S1,Sn;marginal distribution and survival functionsCopula function C:F(t1,tn)=C(F1(t1),Fn(tn)Ei nominal;i recovery rate;Mi=Ei*i loss given default
10、;A latent factor V such that conditionally on V,default times are indep:pti|V=Q(i t|V)cond default prob;qti|V=Q(i t|V)cond survival prob;So cond joint survival prob:S(t1,tn|V)=qtii|V,2023/3/1,STCDO(continued),Aggregated loss process:L(t)=Mi Ni(t)Ni(t)-default indicator processPV of default leg=E(L(t
11、)-K)+,where K is the tranches attachmentSemi-analytic techniques applied for the computation of loss expection FFT and recursiveHow to represent default time?,2023/3/1,David Lis 1-factor model,Gaussian vector,v1,vn,Gaussian cdf,2023/3/1,Stochastic Correlation,Correlation parameters,2023/3/1,Student
12、t Copula,W-independent from the 2nd part and an inverse Gamma distribution with parameters equal to v/2.V,-independent Gaussian random variables.,-the distribution function of the standard univariate Student t,2023/3/1,Double t Copula,Proposed recently by Hull&White(2004)Latent variables:,Default ti
13、me:,2023/3/1,Clayton Copula,Consider a positive random variable V(1-fatcor),std.Gamma distribution withShape parameter of,Independent uniform random variables also independent from V,Default time.,2023/3/1,摘要,引言信贷产品法规和文档(Legal and Documentation)行业规范（Regulatory environment)复杂信贷产品定价，计算技术和对冲(Hedge)风险管理
14、,2023/3/1,市场风险管理(market risk),Credit VaRInterest rate risk monitor,2023/3/1,信贷风险管理(credit risk),多维性信贷风险控制信贷证券组合的风险分析,2023/3/1,国内金融资产结构,国内金融市场融资结构(2003)贷款 3万亿(85%);直接融资 5340亿(15%):股票、国债、企业债券 直接金融(2003 12515亿）政府债券比重：6280亿元（占比50.2）政策性银行金融债发行4520亿元（占比36.1）股票发行1357亿元（占比10.8）企业债券发行量358亿元（占比2.9）,2023/3/1,2003年直接融资比重,2023/3/1,CD离我们有多远？,建立风险产品交易市场 周小川：国有商行改制后如何抑制不良贷款增长(2004-07-26 中国经济周刊)吴晓灵:稳步发展企业债券市场 优化金融资产结构(2005-01，第九届中国资本市场论坛）苏宁：科学规划 统筹安排 积极推进中国债券市场发展（2005年6月26日首届中国债券市场论坛）周小川：吸取教训 以利再战（2005年10月20日中国债券市场发展高峰会）,2023/3/1,Q&A,
