FRM Part I · FRM Exam Part I · Option Sensitivity Measures: The "Greeks"
A trader holds a long position in a one-month at-the-money European call option on a non-dividend-paying stock. All else equal, which statement best describes the option's theta?
Theta is negative for a long at-the-money call on a non-dividend stock. The option's time value shrinks as expiry approaches, so with other factors constant its value falls. Theta is typically largest in absolute terms for at-the-money options near expiry.
- ATheta is negative, so the option loses time value as expiry approachesCorrect
- BTheta is positive, so the option gains value as expiry approaches
- CTheta is zero for at-the-money options
- DTheta is positive only if volatility rises
Explanation
A long option position has positive time value that erodes as maturity nears, so theta is negative. At-the-money options have the largest absolute theta. A zero or positive theta would not match the standard behavior of a long call on a non-dividend stock.
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