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fdzh · 2023年10月20日

选项C和D

NO.PZ2023091701000071

问题如下:

MTGE4. MTGE7. MTGE10 are mortgage-backed securities (MBS) that pay 4%, 7% and 10% coupons, respectively Prevailing mortgage rates are 10%. Assume these securities have the same maturity and coupon frequency, which of the following is correct?

选项:

A.In most cases, convexity is sufficient to approximate MBS price changes resulting from yield changes for the purpose of estimating VaR. B.In most cases, duration is sufficient to approximate MBS price changes resulting from yield changes for the purpose of estimating VaR. C.The Optionality embedded in a MBS makes the implementation of the duration-convexity method less appropriate for the purpose of estimating VaR. D.As rates fall, MTGE10 price change approximations using the duration-convexity method are likely to be better than MTGE4 price change approximations.

解释:

请问选项D错在哪里,另外能否解释一下正确选项C?

1 个答案

pzqa27 · 2023年10月23日

嗨,努力学习的PZer你好:


这个题D选选项是错误的,D选项主要跟MB的convexity有关,现在由于利率下降,导致10%的mbs呈现一种负的convexity,因此其价格变化相较4%的MBS来说,不宜使用duration convexity的方法。详情可以参考这个视频第20分钟的内容,就是在讲解这个题。

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努力的时光都是限量版,加油!

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NO.PZ2023091701000071问题如下 MTGE4. MTGE7. MTGE10 are mortgage-backesecurities(MBS) thp4%, 7% an10% coupons, respectively Prevailing mortgage ratesare 10%. Assume these securities have the same maturity ancoupon frequency,whiof the following is correct? A.In most cases, convexity is sufficient to approximateMprichanges resulting from yielchanges for the purpose of estimatingVaR.B.In most cases, ration is sufficient to approximateMprichanges resulting from yielchanges for the purpose of estimatingVaR.C.The Optionality embeein a Mmakes theimplementation of the ration-convexity metholess appropriate for thepurpose of estimating VaR.rates fall, MTGE10 prichange approximationsusing the ration-convexity methoare likely to better thMTGE4 pricechange approximations.老师,这里的coupon是不是就是每月月供?

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