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FRM考试中,违约相关性较低,CDO价值升高,例题解析!

FRM考试中,违约相关性较低,CDO价值升高,为什么答案是A。下文是详细解答,一起了解一下!

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An investor has sold default protection on the most senior tranche of a CDO. If the default correlation decreases sharply, assuming everything else is unchanged, the investor’s position will

A. Gain significant value since the probability of exercising the protection falls.

B. Lose significant value since his protection will gain value.

C. Neither gain lose value since only excepted default looses matter and correlation does not affect expeaed deldull losses.

D.It depends on the pricing modd ubed and the market conditions

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答案:A

解析:

2005年5月的案例里,策略为short the protection of equity tranch of CDO(卖出equity CDS,收保费spread)、long the protection of mezzanine tranch(买入mezzanine保险,付spread),由于equity tranch of CDO风险更大,故收的保费比付的保费多从而获利,但zui终因为ρ降低而损失。【资料下载】GARP协会《2021年FRM学习目标》

当ρ接近于1时,equity和mezzanine可能同时违约或不违约,与mezzanine共进退,对equity来说,价值是上升的,而mezzanine价值下降。

当ρ下降时,equity的价值下降,风险上升,保费上升,而策略里收的保费是固定好的,故亏损;mezzanine价值上升,风险下降,保费下降,而策略里支付的保费是固定的,故亏损;在此题中,是卖出senior的保护,所以相反。