开发者:上海品职教育科技有限公司 隐私政策详情

应用版本:4.2.11(IOS)|3.2.5(安卓)APP下载

Celina_SUN · 2020年03月29日

问一道题:NO.PZ2016070202000028

问题如下:

Trader A purchases a down-and-out call with a strike price of USD 100 and a barrier at USD 96 from Trader B. Both traders need to unwind their delta hedge at the barrier. Which trader is more at risk if there is a price gap (discontinuity) that prevents them from exiting the trade at the barrier?

选项:

A.

Trader A has the bigger risk.

B.

Trader B has the bigger risk.

C.

They both have the same risk.

D.

Neither trader has any risk because both are hedged.

解释:

Each trader replicates dynamically the down-and-out call as a hedge. Trader B sold the option, so needs to replicate a long position in this call. The hedge ratio for a down-and-out call resembles the usual one except that it has an abrupt discontinuity, dropping to zero below the barrier. Just above the barrier, Trader B is long the asset in the amount of the hedge ratio (e.g., 0.4). When the price jumps down below the barrier, Trader B will be stuck with a large loss. Intuitively, this loss is the gain to Trader A, who has the opposite position.

你之前的回答是说如果下跌触碰到P=96,但是这道题不是问的当价格距离P=96还有一段距离的时候谁最有可能损失么?

1 个答案

品职答疑小助手雍 · 2020年03月29日

同学你好,这道题后面两句话是理解题意的关键,

Both traders need to unwind their delta hedge at the barrier. 他们都要在触碰障碍时退出各自的delta hedge。

Which trader is more at risk if there is a price gap (discontinuity) that prevents them from exiting the trade at the barrier?这个trade指的是退出自己的delta hedge头寸。

也就是说问题是:如果出现一个价格断崖式下跌击穿了96,比如股价直接跌的剩10块钱了,期权失效时他们剩下了这个对冲头寸,谁的风险和损失大。

那肯定就是B的大,B的对冲头寸是买股票,股票大跌了。