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pansy_77 · 2025年06月25日

2 year bond call option不是限制了利率下行带的来的收益吗

NO.PZ2021120102000006

问题如下:

An active fund trader seeks to capitalize on an expected steepening of the current upward-sloping yield curve using option-based fixed-income instruments.

Which of the following portfolio positioning strategies best positions her to gain if her interest rate view is realized?

选项:

A.

Sell a 30-year receiver swaption and a 2-year bond put option.

B.

Purchase a 30-year receiver swaption and a 2-year bond put option.

C.

Purchase a 30-year payer swaption and a 2-year bond call option.

解释:

C is correct.

A steepening of the yield curve involves an increase in the slope, or the difference between long-term and short-term yields-to-maturity. An optimal portfolio positioning strategy is one which combines a short duration exposure to long-term bonds and a long duration exposure to short-term bonds.

Portfolio C involves the right (but not the obligation) to purchase a 2-year bond, which will increase in value as short-term yields fall with the right to pay-fixed on a 30-year swap, which increases in value if long-term yields rise. Portfolio A involves the sale of two options. Although they will expire unexercised in a steeper curve environment, the investor’s return is limited to the two option premia. Portfolio B is the opposite of Portfolio C, positioning the investor for a flattening of the yield curve.

call option 不是给了发行人权力,在利率下行的时候,可以按照100的价格提前赎回吗,这样如果预期短期利率下行,就不能获得这块的收益。


这部分应该怎么理解

1 个答案

发亮_品职助教 · 2025年06月27日

这是纯call option,并非callable bond。


callable bond在利率下跌时,发行人会用行权价提前把债券赎回。所以如果我们预期利率下降,还投资了callable bond的话,无法享受到太多价格上升的收益。如,买入价98,赎回价100。利率下降,普通的债券价格上涨是103,可以赚到capital gain(103-98=5)。但对于callable bond,价格最多上涨至100就会被提前赎回,所以投资者只能赚(100-98=2)。

这其实限制了投资者的盈利。所以如果预测利率下跌,最好买入普通债券,而不是买入callable bond。


但这道题是纯call option。在标的物资产的价格上升时,call option盈利。因为预期短期利率下降,所以短期债券的价格上升。我们long call option on bond可以盈利。

也可以从头寸角度分析,long call option的头寸是long underlying bonds。

在短期利率下降时,这个债券价格上升,long call头寸盈利。


需要注意,含权债券和纯call option要区别对待,这块还是挺容易出题迷惑的。

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