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lion · 2023年04月21日

求解释

NO.PZ2016082402000017

问题如下:

Which of the following statements is correct regarding the effects of interest rate shift on fixed-income portfolios with similar durations?

选项:

A.

A barbell portfolio has greater convexity than a bullet portfolio because convexity increases linearly with maturity.

B.

A barbell portfolio has greater convexity than a bullet portfolio because convexity increases with the square of maturity.

C.

A barbell portfolio has lower convexity than a bullet portfolio because convexity increases linearly with maturity.

D.

A barbell portfolio has lower convexity than a bullet portfolio because convexity increases with the square of maturity.

解释:

ANSWER: B

The statement compares two portfolios with the same duration. A barbell portfolio consists of a combination of short-term and long-term bonds. A bullet portfolio has only medium-term bonds. Because convexity is a quadratic function of time to wait for the payments, the long-term bonds create a large contribution to the convexity of the barbell portfolio, which must be higher than that of the bullet portfolio.

解析:关于利率变动对久期相似的固定收益投资组合的影响,以下哪项陈述是正确的?

现金流越分散,convexity越大,并且convexity随着期限的平方增加。

barbell现金流比bullet更分散。

这是基础课程哪一块知识,求解释。。

1 个答案

pzqa27 · 2023年04月21日

嗨,从没放弃的小努力你好:


这里,这节课对这2种组合进行了详细的介绍,包括convexity的大小

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Whiof the following statements is correregarng the effects of interest rate shift on fixeincome portfolios with similrations? A barbell portfolio hgreater convexity tha bullet portfolio because convexity increases linearly with maturity. A barbell portfolio hgreater convexity tha bullet portfolio because convexity increases with the square of maturity. A barbell portfolio hlower convexity tha bullet portfolio because convexity increases linearly with maturity. A barbell portfolio hlower convexity tha bullet portfolio because convexity increases with the square of maturity. ANSWER: B The statement compares two portfolios with the same ration. A barbell portfolio consists of a combination of short-term anlong-term bon. A bullet portfolio honly meum-term bon. Because convexity is a quaatic function of time to wait for the payments, the long-term bon create a large contribution to the convexity of the barbell portfolio, whimust higher ththof the bullet portfolio. 久期相同的前提下,不是应该现金流更分散的barbell的maturity更长吗?那么convexity和maturity的平方关系不是应该更大吗?为什么不选

2020-05-20 12:21 1 · 回答

在相同ration的情况下,barbell现金流更分散,ration应该更高,现在barbell和bullet的ration相同,那么barbell的期限应该更短?convexity感觉更小呢

2019-09-25 15:46 1 · 回答

B的原因应该不是square of maturity吧,convexity 增加的幅度大于ration的原因是因为square of maturity?

2019-03-22 18:25 1 · 回答