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wanlankiki · 2021年07月28日

选项c

NO.PZ2019103001000045

问题如下:

Hirji then considers a strategy to sell some long-term bonds from the French institutional client’s portfolio and purchase short maturity at-the-money options on long-term bond futures. The portfolio’s duration would remain unchanged. Prégent asks:

“How would portfolio performance be affected by this strategy if the yield curve were to remain stable?”

The answer to Prégent’s question is that the portfolio would most likely experience:

选项:

A.

a loss.

B.

no change.

C.

a gain.

解释:

A is correct.

Short maturity at- or near-the-money options on long-term bond futures contain a great deal of convexity. Thus, options increase the convexity of the French client’s portfolio. Options are added in anticipation of a significant change in rates. If the yield curve remains stable, the portfolio will experience a loss from both the initial purchase price of the options and the foregone interest income on the liquidated bonds.

既然是卖出LT bond,为什么不是sell C了呢,所以会有gain,为什么跟futures一比就会成了loss?谢谢

1 个答案
已采纳答案

pzqa015 · 2021年07月29日

嗨,从没放弃的小努力你好:


期限长的债券duration大,但不一定convexity大,因为convexity除了取决于期限长短以外,还与现金流的分散程度以及市场利率有关,即convexity=(mac D+mac D2+dispersion)/(1+y),所以,仅仅根据题干说的long term bonds,无法判断出能否对Portfolio convexity有较大影响;而option却能明显改变convexity,买option相当于buy convexity,所以,卖long term bond,buy option是会增加portfolio convexity的,在预期stable yield curve的情况下增加portfolio convexity,产生Loss。



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