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Liam · 2021年05月10日

FI问个问题

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.

之前在某位助教的解答里看到过 sell some long-term bonds也会减少convexity,那不是与购买option增加的convexity相互抵消了吗?还是之间有大小之别?

1 个答案
已采纳答案

发亮_品职助教 · 2021年05月11日

嗨,爱思考的PZer你好:


之前在某位助教的解答里看到过 sell some long-term bonds也会减少convexity


对的,一般的普通债券就是Duration与Convexity的载体;卖出债券自然会卖出Convexity,于是会降低组合Convexity。


那不是与购买option增加的convexity相互抵消了吗?


不会完全抵消。一般债券的Convexity都很小了,远远不及Option的Convexity。因此,卖出Convexity较小的债券、买入Convexity较大的Option,净的效果是使得组合的Convexity变大。


还是之间有大小之别?


有大小区别。Option的Convexity要大出Bond convexity很多,如下图,这是原版书的图,可以看到Option的Convexity是826.041,而30年期债券的Convexity仅仅只有5.959;可以看出两者Convexity差距非常大。

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就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

Liam · 2021年05月28日

评论就要看你的,看别动我咳嗽。