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圣灵霜子 · 2020年10月20日

问一道题:NO.PZ2019103001000041 [ CFA III ]

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.

既然30年的利率水平不变,buy long term option(convexity)有什么意义呢?不是白白花期权费吗?
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已采纳答案

WallE_品职答疑助手 · 2020年10月21日

这里引用发亮老师的回答:

其实不用管Option的标的物是啥,B选项的策略实际上是Buy options的策略。

在固定收益Buy/Sell convexity这里,我们就把Option当成是Convexity的载体,Buy options就一定是Buy convexity,不论是Call还是Put都成立;

Sell options,就一定是Sell convexity,不论是Call还是Put都成立;

原因是Option有极大的Convexity数据,我们可以通过买卖Option,来调节组合的Convexity数据。

因为题干预测的利率信息是利率波动加大:

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

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。



通过Option来调节组合的Convexity这里,不要通过分析Option是否行权、或者Option的收益来分析是否会增加组合的收益,这样分析反而会增加难度。

直接把Option当成Convexity的载体,利率波动越大,Option的价值变大,所以预期利率波动加大时,买Option,可以增加组合收益。


另外注意题干,他说是通过调节组合的Convexity来增加组合的收益(alter convexity to enhance expected return)。

分析组合的Convexity时,我们的关注点是收益率曲线的波动率(Volatility),所以买卖Option调节组合Convexity时,我们的关注点在分析利率波动率大小对Convexity的影响上,不需要关注某个利率点位变化对Option的影响。

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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