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13632178408 · 2020年01月01日

问一道题:NO.PZ2019103001000014

问题如下:

The second project for Soto is to help Hudgens immunize a $20 million portfolio of liabilities. The liabilities range from 3.00 years to 8.50 years with a Macaulay duration of 5.34 years, cash flow yield of 3.25%, portfolio convexity of 33.05, and basis point value (BPV) of $10,505. Soto suggested employing a duration-matching strategy using one of the three AAA rated bond portfolios presented in Exhibit 2.

Based on Exhibit 2, the portfolio with the greatest structural risk is:

选项:

A.

Portfolio A.

B.

Portfolio B.

C.

Portfolio C.

解释:

C is correct.

Structural risk arises from the design of the duration-matching portfolio. It is reduced by minimizing the dispersion of the bond positions, going from a barbell structure to more of a bullet portfolio that concentrates the component bonds’ durations around the investment horizon. With bond maturities of 1.5 and 11.5 years, Portfolio C has a definite barbell structure compared with those of Portfolios A and B, and it is thus subject to a greater degree of risk from yield curve twists and non-parallel shifts. In addition, Portfolio C has the highest level of convexity, which increases a portfolio’s structural risk.

前提不是应该asset convesity大于等于 liability convesity吗


1 个答案

发亮_品职助教 · 2020年01月02日

嗨,爱思考的PZer你好:


“前提不是应该asset convesity大于等于 liability convesity吗”


是的,在多期负债匹配这里,Convexity要求的前提是:资产的Convexity大于负债的Convexity;

然后在此基础上,资产的Convexity越小,代表匹配的效果越好、Structural risk越小。


这道题刚好问的是哪个组合的Structural risk最大,所以直接找Convexity数据最大的Portfolio即可。


-------------------------------
虽然现在很辛苦,但努力过的感觉真的很好,加油!


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