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Jena · 2023年10月17日

这题没有太看懂解析

NO.PZ2023091701000026

问题如下:

A hedge fund manager wants to change her interest rate exposure by investing in fixed-income securities with negative duration. Which of the following securities should she buy?

选项:

A.Short maturity calls on zero-coupon bonds with long maturity. B.Short maturity puts on interest-only strips from long maturity conforming mortgages. C.Short maturity puts on zero-coupon bonds with long maturity. D.Short maturity calls on principal-only strips from long maturity conforming mortgages.

解释:

In order to change her interest rate exposure by acquiring securities with negative duration, the manager will need to invest in securities that decrease in value as interest rates fall (and increase in value as interest rates rise). Zero coupon bonds with long maturity will increase in value as interest rates fall, so calls on these bonds will increase in value as rates fall but puts on these bonds will decrease in value and this makes C the correct choice. Interest-only strips from long maturity conforming mortgages will decrease in value as interest rates fall, so puts on them will increase in value, while principal strips on these same mortgages will increase in value, so calls on them will also increase in value.

老师可以解释一下吗?顺带指明一下是哪里的知识点。

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已采纳答案

品职答疑小助手雍 · 2023年10月18日

同学你好,这题其实就一个考点,就是常规的bond的久期是个正数(代表利率上升时,价值下降),如何通过期权翻过来倒过去让自己组合的久期是个负数(利率上升时,价值上升)。

mortgage久期本身很短,调节作用有限,直接剔除。

常规一个zero-coupon bonds with long maturity久期是正的,它的put 期权就可以使收益反转,得到负的久期。