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旋风小铠甲 · 2020年06月09日

问一道题:NO.PZ2019103001000015

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.

Which portfolio in Exhibit 2 fails to meet the requirements to achieve immunization for multiple liabilities?

选项:

A.

Portfolio A

B.

Portfolio B

C.

Portfolio C

解释:

A is correct.

The two requirements to achieve immunization for multiple liabilities are for the money duration (or BPV) of the asset and liability to match and for the asset convexity to exceed the convexity of the liability. Although all three portfolios have similar BPVs, Portfolio A is the only portfolio to have a lower convexity than that of the liability portfolio (31.98, versus 33.05 for the $20 million liability portfolio), and thus, it fails to meet one of the two requirements needed for immunization.

这道题CASH FLOW YIELD方面,portfolio A中数字是小于题干的,可否根据此得出答案?

2 个答案

pzqa015 · 2022年02月02日

嗨,从没放弃的小努力你好:


没错

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加油吧,让我们一起遇见更好的自己!

王暄_品职助教 · 2020年06月10日

嗨,从没放弃的小努力你好:


  • 一般不用Cash flow yield去筛选最佳portfolio
  • Cash flow yield是把portfolio里的bonds揉在一起算出的综合YTM,并不是我们match multiple liabilities的条件
  • 还是要根据那三大条件去选择portfolio

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努力的时光都是限量版,加油!


Shafengler · 2022年02月02日

匹配Multiple liabilities的要求是: 1、PV Assets ≥ PV Liabilities 2、Asset BPV = Liability BPV 3、Asset convexity > Liability convexity 满足以上三点就能满足匹配多期负债的要求,然后如果要选最优的,还需要让Asset convexity在大于负债Convexity的基础上,再尽可能地小。