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Consider a call option on stock XYZ with six months remaining to maturity. In a crisis, the volatility of the share increases and the share price drops. We should expect that:Group of answer choicesit is uncertain if the value of the call option increases or decreasesthe value of the call option increasesthe value of the call option decreases

Question

Consider a call option on stock XYZ with six months remaining to maturity. In a crisis, the volatility of the share increases and the share price drops. We should expect that:Group of answer choicesit is uncertain if the value of the call option increases or decreasesthe value of the call option increasesthe value of the call option decreases

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Solution

The value of a call option is influenced by several factors, including the price of the underlying asset (in this case, stock XYZ), the volatility of the underlying asset, the time remaining until the option's expiration, and the risk-free interest rate.

In this scenario, two things are happening: the volatility of the stock is increasing, and the price of the stock is decreasing.

  1. Increase in Volatility: An increase in volatility generally increases the value of options, both call and put options. This is because higher volatility means there is a greater chance of the stock price moving significantly, which increases the potential for profit from exercising the option.

  2. Decrease in Stock Price: A decrease in the price of the underlying stock generally decreases the value of a call option. This is because the call option gives the holder the right to buy the stock at a certain price (the strike price). If the stock price is below the strike price, the call option is "out of the money" and is not worth exercising.

So, in this case, we have two opposing effects. The increase in volatility is pushing the value of the call option up, while the decrease in the stock price is pushing the value of the call option down.

Therefore, without more specific information about the relative magnitudes of these changes, it is uncertain whether the value of the call option increases or decreases.

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