
Explanation:
The volatility smile for equity options typically exhibits a downward slope known as a "smirk" or skew. This implies that the implied volatility for out-of-the-money (OTM) calls is lower than that of at-the-money options. As a result, the risk-neutral probability distribution for equities has a thinner right tail compared to a lognormal distribution, leading to a relatively lower price for deep OTM calls.
Conversely, the volatility smile for foreign exchange (FX) options is generally U-shaped (a true "smile"). This indicates that implied volatilities for both deep OTM puts and calls are higher than for at-the-money options. Therefore, the risk-neutral distribution for FX has fatter tails on both sides compared to a lognormal distribution, resulting in a relatively higher price for deep OTM calls.
Thus, Option B accurately describes that the ABC stock option price would be relatively low and the USD/GBP FX option price would be relatively high compared to their lognormal BSM counterparts.
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A
The price of the option on ABC stock would be relatively high and the price of the option on USD/GBP FX rate would be relatively low compared to those computed from the lognormal counterparts.
B
The price of the option on ABC stock would be relatively low and the price of the option on USD/GBP FX rate would be relatively high compared to those computed from the lognormal counterparts.
C
The price of the option on ABC stock would be relatively low and the price of the option on USD/GBP FX rate would be relatively low compared to those computed from the lognormal counterparts.
D
The price of the option on ABC stock would be relatively high and the price of the option on USD/GBP FX rate would be relatively high compared to those computed from the lognormal counterparts.