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远仔 · 2020年01月19日

问一道题:NO.PZ2019103001000041

问题如下:

McLaughlin and Michaela Donaldson, a junior analyst at Delphi, are now discussing how to reposition the portfolio in light of McLaughlin’s expectations about interest rates over the next 12 months. She expects interest rate volatility to be high and the yield curve to experience an increase in the 2s/10s/30s butterfly spread, with the 30-year yield remaining unchanged. Selected yields on the Treasury yield curve, and McLaughlin’s expected changes in yields over the next 12 months, are presented in Exhibit 1.

Donaldson suggests they also consider altering the portfolio’s convexity to enhance expected return given McLaughlin’s interest rate expectations.

Given McLaughlin’s interest rate expectations over the next 12 months, one way that Donaldson and McLaughlin could alter convexity to enhance expected return would be to:

选项:

A.

sell call options on bonds held in the portfolio.

B.

buy call options on long-maturity government bond futures.

C.

sell put options on bonds they would be willing to own in the portfolio.

解释:

B is correct.

McLaughlin expects interest rate volatility to be high and the yield curve to experience an increase in the butterfly spread, with the 30-year yield remaining unchanged. To increase the portfolio’s expected return, Donaldson and McLaughlin should buy call options on long-maturity government bond futures to increase convexity.

请问这个题目为什么不是选A

我知道利率变动应该增加Convexity,但题目这里是利率上升,债券价格下降,所以Call option是不会执行的,我买个Call,价格更低,不是也能增强收益吗?

2 个答案
已采纳答案

发亮_品职助教 · 2020年01月20日

嗨,努力学习的PZer你好:


“这个是想问为什么不SELL call option呢,虽然会降低convexity,但根本不会执行,我买入的价格会更低,不是也是增加了expected return吗?”


在固收Buy convexity/Sell convexity这里,就把Option当成Convexity的载体,不用再从Option的行权思考问题了。

在这里考虑Option不是用它来买卖标的物的,而是我们可以获得Option价值与标的物价值的非线性关系(Convexity):

也就是标的物的价格达到Strike price要求时,Option的价值上升,同时Option的Delta绝对大小会变大,也就是Option价值呈现加速上升的特征。

当标的物的价格达不到Strike price时,Option的价值下降、同时Option的Delta绝对大小会变小,也就是Option价值呈现缓慢下降的特征。

这种特征就是我们想要的Convexity“涨多跌少”的特性。Convexity涨多跌少的收益,已经通过Option的价值的变动实现了。我们无需再考虑标的物行权的问题了。



如果是单纯Sell call option,赌他不会行权,这样期权费的确能增加收益,但是,这样的策略是基于Option的策略。他不是改变组合Convexity来调整债券Portfolio获利的策略。

因为债券策略里,把这个限制死了,就是通过Option的调整组合的Convexity来获利,所以完全不用想行权的问题,只用考虑Option的Convexity特性即可。


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努力的时光都是限量版,加油!


远仔 · 2020年01月19日

不好意思 这个是想问为什么不SELL call option呢,虽然会降低convexity,但根本不会执行,我买入的价格会更低,不是也是增加了expected return吗?

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NO.PZ2019103001000041 “因为题干预测的利率信息是利率波动加大 She expects interest rate volatility to high anthe yielcurve to experienincrease in the 2s/10s/30s butterfly sprea with the 30-yeyielremaining unchange所以B说的Buy options,就会增加组合的Convexity,于是组合获得“涨多跌少”的优势,策略会增强收益。” 怎么理解increase in the 2s/10s/30s butterfly spreasprea加利率增加,债券价格下跌幅度再有限,但那也是跌啊哪来的enhanreturn?为啥不能直接卖了option赚期权费 收益的更多?

2021-05-24 20:51 1 · 回答

NO.PZ2019103001000041 buy call options on long-maturity government bonfutures. sell put options on bon they woulwilling to own in the portfolio. B is correct. McLaughlin expects interest rate volatility to high anthe yielcurve to experienincrease in the butterfly sprea with the 30-yeyielremaining unchange To increase the portfolio’s expectereturn, nalon anMcLaughlin shoulbuy call options on long-maturity government bonfutures to increase convexity. 题干有错误吧?butterfly那里

2021-04-28 22:16 3 · 回答

NO.PZ2019103001000041 这道题为什么不选short put option,是因为可能接不到货吗?

2021-03-14 16:33 2 · 回答

请问,题干中已经说明30年期收益率不变,那么即便买入长期国债期货是不是也不会增加收益呢?毕竟convexity特性是涨多涨多跌少,可30年长期利率不变啊。

2021-02-04 12:13 2 · 回答

不好意思老师还是没有看懂,如果说利率上升,债券价格降低,为啥要买看涨期权呢?增加了convexity但是又额外付出了成本呀

2020-11-04 09:48 1 · 回答