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Zunniyaki · 2020年03月23日

问一道题: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.

老师您好,我想问下purchase short maturity at- or near-the-money options on long-term bond futures这个怎么策略去理解?我知道这里的short的意思是短期不是卖空。

1 个答案

WallE_品职答疑助手 · 2020年03月23日

同学你好,

因为快到期的option并且是ATM的话,他的gamma是很高的,当你画option的图的时候,你也可以看到,它在拐点的地方是最凸的。

gamma在option里面相当于二阶导,而convexity在债券里面相当于二阶导,然后这个option的标的物是债券,所以gamma和convexity在这里面是想通的。

当convexity高的时候,他对利率涨多跌少的优势就体现出来了。