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senyyf · 2025年05月19日

A选项是不是也对

NO.PZ2023032703000060

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.

A选项是不是也能赚钱,只不过赚的没C多?,其实A本质上也是short LT bond, long ST bond, 只不过都是sell option 只赚了期权费?

1 个答案

发亮_品职助教 · 2025年05月19日

是的。A选项是2个short option策略,虽然也盈利,但只能赚到期权费,盈利没有C大。

sell option的盈利没有long option的盈利大哈。


另外,需要注意sell option不能完全等同于short bond or long bond。

原因是sell option的盈利只能是一个固定的期权费,而short bond or long bond的盈利是无限空间的,是一个浮动值。

例如,虽然利率上升时,sell receiver swaption对手方不行权,我们盈利,但是只赚到一个premium。

而当利率上升时,short bond却有很大的盈利空间,且盈利浮动。

所以sell receiver swaption不能完全等同于short bond。盈利的情况不完全一致。


同理,sell put不能简单地等同于long bond,虽然利率下降时,sell put对手方不行权,我们盈利,但盈利是一个固定值premium;而利率下降时,Long bond有无限的盈利空间。


所以sell option的盈利和Long/short bond的盈利不一样。但sell option的亏损,其实和long/short bond的亏损一致,当对手方行权时,标的物的价格有多少不利的波动,sell option就有多大的亏损,所以讨论亏损时,sell option可以理解成long/short bond。

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