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tzdsgn · 2023年04月21日

minimize correlation意思是减少数值?

NO.PZ2018120301000008

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. Celia 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 against inflation.

B.

funding future liabilities.

C.

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

解释:

Correct Answer: A

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).

correlation正相关或者负相关不是都是相关性高的意思吗。minimize correlation意思是减少数值?还是减小绝对值?

是不是说原本正相关,加入负相关的就可以抵消,让相关性降低?

1 个答案
已采纳答案

pzqa31 · 2023年04月21日

嗨,从没放弃的小努力你好:


负相关的意思是指两个变量变动方向相反,两个负相关的资产就可以起到diversification的效果,比如当债券价格下跌的时候,股票价格上升,就可以弥补债券价格下跌带来的损失。负的越多,也就是绝对值越大,表示两者越不相关,分散度越好。correlation的取值范围是-1到1,举个最极端的例子:当correlation=-1时,就表示两个资产变动方向完全相反,就是diversification效果最好的。

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努力的时光都是限量版,加油!

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