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Answer: Increasing leverage at lower equity prices suggests increasing volatility.
## Explanation Let's analyze each option: **A. There is higher implied price volatility for away-from-the-money equity options.** - **Incorrect**: In equity markets, we typically observe a volatility smile/skew where out-of-the-money put options (downside protection) have higher implied volatility than at-the-money options. This is due to investors' fear of market crashes and demand for downside protection. **B. "Crashophobia" suggests actual equity volatility increases when stock prices decline.** - **Incorrect**: Crashophobia refers to the psychological fear of market crashes that causes investors to bid up the prices of out-of-the-money put options, leading to higher implied volatility for these options. It doesn't necessarily mean actual volatility increases when prices decline. **C. Compared to the lognormal distribution, traders believe the probability of large down movements in price is similar to large up movements.** - **Incorrect**: In equity markets, traders actually believe the probability of large down movements is greater than large up movements, which is why we see the volatility skew (higher implied volatility for out-of-the-money puts than calls). **D. Increasing leverage at lower equity prices suggests increasing volatility.** - **Correct**: This is known as the leverage effect. When stock prices decline, companies' debt-to-equity ratios increase (higher financial leverage), making the equity more volatile. This relationship between declining prices and increasing volatility is a well-documented phenomenon in equity markets. The correct answer is D because the leverage effect is a fundamental relationship in equity markets where declining stock prices lead to higher financial leverage, which in turn increases equity volatility.
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Which of the following regarding equity option volatility is true?
A
There is higher implied price volatility for away-from-the-money equity options.
B
"Crashophobia" suggests actual equity volatility increases when stock prices decline.
C
Compared to the lognormal distribution, traders believe the probability of large down movements in price is similar to large up movements.
D
Increasing leverage at lower equity prices suggests increasing volatility.