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CFA Level 2
Derivatives

Impact of Delta and Gamma on Option Price

Hard Option Valuation Greeks

In a recent analysis of an equity option, an investor examines the option's Greeks to determine its sensitivity to market changes. The option in question is a European call option on XYZ Corp, which is currently trading at $50. The strike price of the call option is $55 and it has a time to expiration of 120 days. The investor finds that the Delta of the option is 0.4, the Gamma is 0.06, the Vega is 0.25, and the Theta is -0.02.

Given the above data, if the price of the underlying asset increases by $1, what will the expected change in the option’s price be, immediately after the increase, considering Delta and Gamma?

Hint

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