The Behavior of Time Value
As mentioned in
Part 3, the Time Value component of an option price will decline or �erode� as expiration is nearing (i.e.
Time Decay).
The
rate of decline of option�s time-value resulting from the
passage of time (i.e. rate of
Time Decay) is known as
THETA, which is one of the
Options Greeks.
Comparing Theta
at a certain point of time between ATM (At-The-Money), ITM (In-The-Money) & OTM (Out-of-The-Money) options, Theta is typically
highest for
ATM options, and gradually decreases as options move towards ITM and OTM.
This is understandable because ATM options have the highest time value component, so they have more time value to lose over time than an ITM or OTM option.
Comparing Theta
over time, there are different behaviors between ATM and ITM / OTM options:
For ATM options, as the Time Value component of an option price decreases when the option is approaching expiration, the rate of time value decrease is
accelerating (i.e.
Theta is increasing) as it is getting closer to expiration.
This means that the amount of time value disappearing from the option price per day gets
bigger with each passing day. For ATM option, time value decreases sharply particularly in the last 30 days before expiration.
On the other hand,
for both ITM & OTM options, Time Value actually decreases at a
decelerating rate as expiration nears. In other words,
Theta decreases as the option is approaching expiration.
This means that the amount of time value disappearing from the option price per day gets
smaller with each passing day.
This Time Value behavior can be seen in the following graphs:
1) Time Value of
ATM Option:

2) Time Value of
OTM Option:

Note: Both pictures courtesy of
Sigma OptionsTherefore, based on the above, we can summarize as follow:
For ATM options, Theta (i.e. the rate of time value decline as the time passes) is typically the
highest (as compared to ITM & OTM options), and will be
increasing (i.e. the rate of time value decrease is
accelerating) as the option is nearing expiration.
For both ITM & OTM options, Theta is relatively
lower (than ATM options), and will be
decreasing (i.e. the rate of time value decrease is
decelerating) as the option is nearing expiration.
The Impact of Implied Volatility (IV) on THETATheta will also be affected by the changes in Implied Volatility (IV).
When IV decreases, Theta will be higher, particularly when it is nearing to expiration.
On the other hand, when IV increases, Theta would be lower.
Why is it so?
As previously discussed in
Part 1, the level of Time Value of an option could basically be associated with
the level of uncertainty as to whether or not an option can finish ITM.
The more uncertain as to whether an option can or cannot finish ITM before or at expiration, the higher the time value will be.
When Implied Volatility decreases and the option is nearing to expiration, such uncertainty will be lower.
Since Theta is the rate of time decay, when IV decreases, Theta will be higher (i.e. the rate of time value decrease due to the passage of time will be faster).
This is because higher Theta would consequently result in lower time value, which reflects the lower level of uncertainty due to lower Implied Volatility.
And this is particularly so when the expiration is nearing, because the underlying stock price will have lesser time to move, and therefore have even lower probability to finish ITM (i.e. even lower level of uncertainty).
Related Topics:*
FREE Trading Educational Videos You Should NOT Miss*
Options Trading Basic � Part 1*
Options Trading Basic � Part 2*
Understanding Implied Volatility (IV)*
Option Greeks