
Explanation:
Gamma is defined as the rate of change of an option's delta with respect to the price of the underlying asset, or the second derivative of the option price with respect to the asset price. Therefore, the highest gamma is observed in shorter maturity and at-the-money options, since options with these characteristics are much more sensitive to changes in the underlying asset price. The gamma is highest for a shorter maturity call option because delta's move toward either 0 or +1.00 is more imminent.
The correct choice is a call option both at-the-money and with the shorter maturity.
Key Points:
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If the current market price of a stock is USD 60, which of the following options on the stock has the highest gamma?
A
Long call option expiring in 5 days with strike price of USD 30
B
Long call option expiring in 5 days with strike price of USD 60
C
Long call option expiring in 30 days with strike price of USD 30
D
Long call option expiring in 30 days with strike price of USD 60