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一凡007 · 2024年10月19日

不太明白volatility和Vega的正负关系

NO.PZ2023091802000156

问题如下:

An option portfolio exhibits high unfavorable sensitivity to increases in implied volatility and while experiencing significant daily losses with the passage of time. Which strategy would the trader most likely employ to hedge his portfolio?

选项:

A.

Sell short dated options and buy long dated options

B.

Buy short dated options and sell long dated options

C.

Sell short dated options and sell long dated options

D.

Buy short dated options and buy long dated options

解释:

Such a portfolio is short vega (volatility) and short theta (time). We need to implement a hedge that is delta-neutral and involves buying and selling options with different maturities. Long positions in short-dated options have high negative theta and low positive vega. Hedging can be achieved by selling short-term options and buying long-term options.

比如volatility变大为什么Vega小于0?还有此题为什么theta小于0?

1 个答案

pzqa27 · 2024年10月21日

嗨,爱思考的PZer你好:


Vega:这是衡量期权价格对隐含波动率变化敏感性的指标。负的Vega意味着当隐含波动率上升时,期权的价值下降。因此,如果一个投资组合表现出对隐含波动率上升的高不利敏感性,说明它是short Vega(Vega < 0)。

Theta:这是衡量期权价格随时间流逝而减少的速度。负的Theta表示随着时间的推移,期权的价值在减少,通常是因为期权到期日临近。大多数期权,尤其是短期期权,具有负的Theta,因为时间价值在不断减少。

在这个问题中,投资组合short Vega(因为对隐含波动率上升不敏感)和short Theta(因为随着时间流逝价值减少)。因此,交易者需要通过卖出短期期权(负Theta)并买入长期期权(正Theta)来进行对冲,从而实现Delta中性策略。

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