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蓝阿白 · 2021年03月05日

请帮助解释

If the correlation of the expected defaults on the CDO collateral of the senior and subordinated tranches is positive, the relative value of the equity tranche compared with the senior and mezzanine tranches will increase. 解释是 CDOs typically include some form of subordination. With subordination, a CDO has more than one bond class or tranche, including senior bond classes, mezzanine bond classes (which have credit ratings between senior and subordinated bond classes), and subordinated bond classes (often referred to as residual or equity tranches). The correlation of expected defaults on a CDO’s collateral affects the relative value between the senior and subordinated tranches of the CDO. As correlations increase, the values of the equity tranches usually increase relative to the values of the senior and mezzanine tranches.
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发亮_品职助教 · 2021年03月06日

嗨,努力学习的PZer你好:


整个这段就是在说:当底层资产的相关性Correlation上升时,相比Senior与Mezzanine层,CDO中的Equity层的相对价值会上升。


一堆贷款打包发行CDO,然后CDO会分层(Tranche),一般就是有3层:Senior、Mezzanine、与Equity。


If the correlation of the expected defaults on the CDO collateral of the senior and subordinated tranches is positive, the relative value of the equity tranche compared with the senior and mezzanine tranches will increase.


上面这句话就是在说:如果底层资产之间的相关性上升的话、或者是正数的话(correlation...positive),这三个Tranche中,Equity层的价值会相对上升。

用原版书的话来说,这点可以总结为:

As correlations increase, the value of equity tranches usually increases relative to the value of senior and mezzanine tranches

即,Correlation上升,Equity层的相对价值上升。


原因是底层资产的Correlation上升,即底层资产贷款的相关性上升,那么如果一旦违约,将会是大片的底层资产违约,此时CDO中,Equity会非常容易就全部亏损掉,由于Equity层会全部亏损掉,Mezzanine可能会受到大幅损失,甚至Senior层的安全性可能都不会很高,也会有损失。


在这种情况下,Senior、Mezzanine层级的安全性其实不会太好。在CDO这种分层结构下,Senior层与Mezzanine层的优势就是在于有Equity层优先吸收亏损,但当底层资产Correlation高时,非常容易出现大片底层资产违约,Equity层非常容易消耗完,所以Senior与Mezzanine的安全性降低、价值下降。相对应的就是Equity层的相对价值上升。


同理,由于Correlation较高,一旦底层资产不违约,那么将会出现底层资产基本不违约的情况,那么Equity层的收益会非常高,因为Equity层拿的是剩余价值,在底层资产基本不违约的情况下,Equity层的收益会非常高。在这种情况下,equity层的相对价值也会上升。


综上:在Correlation上升时,Equity层的相对价值(相比Senior与Mezzanine)会上升。

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