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小壹万万呀 · 2022年08月01日

D选项中的convexity怎么算

NO.PZ2018122701000062

问题如下:

Given the following bond portfolios:

Which of the following statements is correct?

选项:

A.

Portfolio 1 is a barbell portfolio.

B.

Portfolio 2 is a bullet portfolio.

C.

It is impossible for Portfolios 1 and 2 to have the same duration.

D.

Portfolio 2 will have greater convexity than Portfolio 1.

解释:

D is correct.

考点 Measures of Pricing Sensitivity Based on Parallel Yield Shifts

解析 Since Portfolio 2 has more long-term bonds than short-term bonds and since convexity is related to the square of maturity, Portfolio 2 will have greater convexity. The other statements are incorrect. Portfolio 1 is a bullet portfolio (concentrated in intermediate maturities), and Portfolio 2 is a barbell. It is possible for a bullet and a barbell to have the same duration. In fact, adding the duration contribution of both portfolios gives a duration value of 8.15.

如题 D选项中的convexity怎么算

1 个答案
已采纳答案

DD仔_品职助教 · 2022年08月01日

嗨,努力学习的PZer你好:


根据convexity的公式:

这道题是没办法计算出来convexity的数据的,因为没有利率变动信息。

convexity的大小不需要计算来判断,现金流越分散,convexity越大,组合1的现金流大部分是发生在10年期的债券,组合2的现金流大部分发生在5年和20年,所以组合2更分散,他的convexity更大。

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努力的时光都是限量版,加油!