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Tan · 2021年07月20日

Convexity 在multiple-liabilities下的选择

NO.PZ2019103001000027

问题如下:

Which of the portfolios in Exhibit 1 best minimizes the structural risk to a single-liability immunization strategy?


选项:

A.

Portfolio 1

B.

Portfolio 3

C.

Portfolio 4

解释:

C is correct.

Structural risk to immunization arises from twists and non-parallel shifts in the yield curve. Structural risk is reduced by minimizing the dispersion of cash flows in the portfolio, which can be accomplished by minimizing the convexity for a given cash flow duration level. Because Portfolio 4 has the lowest convexity compared with the other two portfolios and also has a Macaulay duration close to the liability maturity of nine years, it minimizes structural risk.

在多笔liabilities下的情况下,由于Libility多笔所以到期所需的现金流是分散开的,所以投资债券产生现金流到账也是分散的,得到条件convexityA>convexityL


如果给个表格要求选择最佳的portfolio时,假如选项A和选项B都是资产>负债,且BPVA=BPVL,而且Convexity(资产)>Convexity(Liablity)。在这样的情况下是不是要选Convexity相对较小的那个?

1 个答案
已采纳答案

pzqa015 · 2021年07月20日

嗨,从没放弃的小努力你好:


如果给个表格要求选择最佳的portfolio时,假如选项A和选项B都是资产>负债,且BPVA=BPVL,而且Convexity(资产)>Convexity(Liablity)。在这样的情况下是不是要选Convexity相对较小的那个?

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是的同学,你说的没错

多笔liability下的免疫条件是:

PVA≥PVL,

BPVA=BPVL

ConvexityA>ConvexityL, 且选择convexityA最小的portfolio.


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虽然现在很辛苦,但努力过的感觉真的很好,加油!