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shirley_hd · 2019年11月23日

问一道题:NO.PZ2019103001000008

问题如下:

The objectives for the domestic bond portfolio include the ability to fund future liabilities, protect interest income from short-term inflation, and minimize the correlation with the fund’s equity portfolio. The correlation between the fund’s domestic bond portfolio and equity portfolio is currently 0.14. Deveraux plans to reduce the fund’s equity allocation and increase the allocation to the domestic bond portfolio. She reviews two possible investment strategies.

Strategy 1: Purchase AAA rated fixed-coupon corporate bonds with a modified duration of two years and a correlation coefficient with the equity portfolio of –0.15.

Strategy 2: Purchase US government agency floating-coupon bonds with a modified duration of one month and a correlation coefficient with the equity portfolio of –0.10.

Strategy 2 is most likely preferred to Strategy 1 for meeting the objective of:

选项:

A.

protecting inflation.

B.

funding future liabilities.

C.

minimizing the correlation of the fund’s domestic bond portfolio and equity portfolio.

解释:

A is correct.

Floating-coupon bonds provide inflation protection for the interest income because the reference rate should adjust for inflation. The purchase of fixed-coupon bonds as outlined in Strategy 1 provides no protection against inflation for either interest or principal. Strategy 1 would instead be superior to Strategy 2 in funding future liabilities (better predictability as to the amount of cash flows) and reducing the correlation between the fund’s domestic bond portfolio and equity portfolio (better diversification).

除了A之外,C选项是不是也是对的?

2 个答案
已采纳答案

发亮_品职助教 · 2019年11月24日

嗨,爱思考的PZer你好:


C选项是不是也是对的?


不对,C选项错了。

C说:Strategy 2比Strategy 1更能降低Bond portfolio与Equity portfolio之间的Correlation。

Strategy 1购买的债券与Equity portfolio之间的Correlation是-0.15;

Strategy 2购买的债券与Equity portfolio之间的Correlation是-0.10;

显然,Strategy 1购买的债券,与Equity之间的Correlation更小一些。所以如果给组合中加入Strategy 1,能更进一步降低Bond portfolio与Equity portfolio之间的相关系数。

事实上,当前组合中:Bond portfolio与Equity portfolio的相关系数为0.14,只要买入的新债券,其与Equity的相关系数小于0.14,就可以进一步拉低组合的相关系数;所以Strategy 1和Strategy 2都可以进一步拉低组合的相关系数,只不过Strategy 1的相关系数更小一些,所以降低的效果更好。


Correlation是-1与+1之间的数,只要两两资产间的Correlation小于+1即可提供分散化效果;Correlation越小提供的分散化效果越好;

例如,Correlation=0.2,提供的分散化效果优于Correlation=0.5;

Correlation=-0.1,提供的分散化效果优于Correlation=0.2;

Correlation=-0.5,提供的分散化效果优于Correlation=-0.1;


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梦梦0708 · 2021年04月26日

为什么Correlation=-0.5,提供的分散化效果优于Correlation=-0.1?

发亮_品职助教 · 2021年04月28日

嗨,爱思考的PZer你好:


为什么Correlation=-0.5,提供的分散化效果优于Correlation=-0.1?


Correlation取值是[-1,+1]


当两两资产间的Correlation = +1,代表他们的收益完全正相关,不具有分散化的效果。

当两两资产间的Correlation < 1时,两两资产的组合开始具有分散化的效果;且当Correlation越小,分散化效果越好

当两两资产间的Correlation = -1时,代表他们的收益完全负相关,具有充分分散化的效果,分散化效果最好。


所以,Correlation越接近于-1分散化效果越好。越接近+1,分散化效果就越差。那么针对提问,-0.5的分散化效果一定好于-0.1的分散化效果。

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