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金融小白星 · 2024年01月08日

receiver swaption

Silver considers alternatives to a cash bond portfolio for hedging the liabilities because he is concerned that as time passes and market conditions change, the initially established hedging program may drift from target levels. Some of his clients with DB plans are underfunded and have interest rate hedge ratios well below 100%. These clients expect rates to rise, and should their view prove correct, the duration gap will improve funded status. He believes these clients should at least consider a costless derivative position to protect from rates falling further if their view is incorrect while also increasing the hedge ratio if rates rise.


What contingent strategies would Shrewsbury’s DB clients most likely enter into under the scenario he outlines?

  1. Short a receiver swap
  2. Long a payer swaption, short a receiver swaption
  3. Long a receiver swaption, short a payer swaption


麻烦老师详细讲解下第三个策略为啥对,

谢谢!

2 个答案

pzqa015 · 2024年01月09日

嗨,努力学习的PZer你好:


首先,你写的公式是futures的公式,这里根本没用futures,所以你的公式就用不上。

其次,如果利率上涨,提高hedge ratio,应该是让左边的BPV变大,提高hedge ration不是让资产下降的比负债下降的少,而是让BPVA和BPVL之间的差距变小。只有增加等号左边的久期,才可以缩小二者的差距。




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pzqa015 · 2024年01月08日

嗨,爱思考的PZer你好:


现在value of asset<value of liability,且BPV of asset<BPV of liability

如果利率上涨,这个头寸是有好处的,因为资产端value下降的少,负债端value下降的多,这样资产与负债的差值变小,underfunded的状态得到改善。

如果利率下跌,这个头寸是有亏损的,因为资产端Value上涨的少,负债端value上涨的多,资产与负债的差值进一步扩大,underfunded的状态恶化了。

题目说,要加入一个衍生品头寸,让预测错误(利率下跌)时获得保护,根据这句话判断,应该增加资产端的duration,要long receiver swaption或者short payer swaption(这两个头寸的duration为正)。

同时,在利率上涨时,提高hedge ratio。首先判断,现在BPVA<BPVL,如果要增加hedge ratio,则左边在利率上涨时应该变大,进一步验证了应该增加资产端的duration,所以,要long receiver swaption或者short payer swaption。

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