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Futures contracts can be an effective and efficient risk management or trading tool. Their performance is basically two-dimensional, either you are up money or down depending on the entry price point and whether the market is up or down versus your position.

But with options on futures there are more dimensions, or forces, acting on the price or premium of the option.

There are metrics to measure each of these different forces impacts on the premium of an option. These metrics are often referred to by their Greek letter, and collectively known as “the Greeks.”

## Theta

Delta and gamma measure the effect of price movement of the underlying on the option premium. As we demonstrated in previous videos, both are dynamic as to the option being out-the-money (OTM), at-the-money (ATM), or in-the-money (ITM).

Now we will investigate the effects of time on an option. The Greek that measures an option’s sensitivity to time is theta. Theta is usually expressed as a negative number. Be careful to always make sure what time is referenced in the model you are using.

For example, if the value of an option is 7.50 and the option has a theta of .02. After one day, the option’s value will be 7.48, 2 days 7.46. etc.

Theta is highest for at-the-money (ATM) options and lower the further out-the-money or in-the-money the option is. The absolute value of theta of an option that is at- or near-the-money rises as the option approaches expiration. Theta for an option that is deep in- or out- the-money falls as the option approaches expiration.

In the prior example, theta was a constant value of .02 for all three days. In reality, the theta loss increases as the option approaches expiration.

## Example

In March, a September option will have a daily time decay of .02. By August, the daily decay will increase to .06 and the option more quickly decays.

Time decay is not linear, and moreover, for ATM strikes decay continually accelerates into option expiration.

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