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梦梦 · 2024年08月28日

PO strips

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.

老师好,这道题,D选项,为什么r下降,不会prepay呢,就是用分析B的思路

2 个答案

pzqa39 · 2024年09月17日

嗨,从没放弃的小努力你好:


B选项是个看跌期权,利率下降债券价格是下降了,但是Vput是上升的啊

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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!

梦梦 · 2024年09月18日

哦!明白了,谢谢

pzqa39 · 2024年08月28日

嗨,从没放弃的小努力你好:


当利率下降时,借款人提前还款的动机会增强,会prepay。但是老师在经典题班里面是这样讲的:PO本质上来讲还是一个债券,债券是未来现金流折现求和,未来现金流就是本金的数额,拿到的现金流是确定的,但是折现率下降,PO的价格是上升的。CALL OPTION是越涨赚得越多,所以Vcall也是上升的。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

梦梦 · 2024年09月16日

“A hedge fund manager wants to change her interest rate exposure by investing in fixed-income securities with negative duration”这句话的意思难道不是“通过投资负duration的固收证券改变利率敞口”吗?我理解的不对吗?所以应该选负duration的,不应该是B吗?只有IO是R下降,value下降