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mia · 2021年05月09日

题目问Best immunize,为什么不用考虑minimum convexity这个条件?

NO.PZ2019103001000026

问题如下:

Mowery informs Compton that DFC has a single $500 million liability due in nine years, and she wants SD&R to construct a bond portfolio that earns a rate of return sufficient to pay off the obligation.

Compton provides the four US dollar–denominated bond portfolios in Exhibit 1 for consideration. Compton explains that the portfolios consist of non-callable, investment-grade corporate and government bonds of various maturities because zero-coupon bonds are unavailable.

Based on Exhibit 1, which of the portfolios will best immunize SD&R’s single liability?

选项:

A.

Portfolio 1

B.

Portfolio 2

C.

Portfolio 3

解释:

B is correct.

In the case of a single liability, immunization is achieved by matching the bond portfolio’s Macaulay duration with the horizon date. DFC has a single liability of $500 million due in nine years. Portfolio 2 has a Macaulay duration of 8.9, which is closer to 9 than that of either Portfolio 1 or 3. Therefore, Portfolio 2 will best immunize the portfolio against the liability.

综合考虑convexity,答案就不对了呀
3 个答案
已采纳答案

pzqa015 · 2021年05月11日

嗨,爱思考的PZer你好:


同学你好,对于sinle liab,我们首先考虑的是match macD,如果有两个Portfolio mac D相近,此时,为了降低structural risk,我们才会比较convexity,选择convexity小的,让免疫策略的structural risk尽可能小。不能抛开macD=investment horizon这个条件,直接通过convexity来判断。

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就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

Lich · 2021年08月01日

如果答案有portfolio4,是不是4更好呢,老师

pzqa015 · 2021年08月07日

嗨,爱思考的PZer你好:


老师 不是convexity大的更好么,“涨多跌少”,上面回答中降低structural risk是指什么


同学你好,structural risk是收益率曲线发生非平行移动,使得免疫策略失效,△asset≠△liab的情形。为了降低structural risk,我们就要min portfolio convexity。

你说的没错,convexity是一个优良的性质,涨多跌少,但这种优良的性质我们一般用在主动管理上,即根据对收益率曲线的预期变化,调整portfolio convexity,实现收益率曲线下降,涨多,收益率曲线上升,跌少的优良特性。

但对于免疫策略,我们的目的就是为了cover liab,convexity的涨多跌少的性质我们用不上了,我们这时候降低convexity是利用convexity代表现金流离散程度dispersion的特性,降低convexity,是为了降低现金流离散程度,极端情况下只有一笔现金流(负债到期时发生),那么其他(非到期)期限收益率随便怎么变化,都不会影响免疫效果了,这时候structural risk基本被消除了。

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就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

pzqa015 · 2021年08月01日

嗨,爱思考的PZer你好:


是的同学,4的convexity比2小,所以4比2要更好一些。

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加油吧,让我们一起遇见更好的自己!

vance · 2021年08月06日

老师 不是convexity大的更好么,“涨多跌少”,上面回答中降低structural risk是指什么

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