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Most investors and traders new to options markets prefer to buy calls and puts because of their limited risk and unlimited profit potential. When they establish a position, option sellers collect time-value premiums, paid by option buyers. Options and Strike PriceDepending on where the underlying price is in relation to the option strike price, the option can be in, out or at the money. When we say an option is at the money, we mean the strike price of the option is equal to the current price of the underlying stock or commodity. As can be seen in Figure 1 above, when a put option is in the money, the underlying price is less than the option strike price. In the case of a put option at the same strike price of 1100 and the underlying at 1050, the option at expiration also would be 50 points in the money (1100 -1050 = 50). With these basic relationships in mind, let's now take a closer look at time value and the rate of time-value decay (represented by theta, from the Greek alphabet). Figure 2 below illustrates this concept, indicating when time-value would be higher or lower and whether or not there will be any intrinsic value (which arises when the option gets in the money) in the price of the option. Time-Value DecayIn Figure 3 below, we simulate time-value decay using three at-the-money S&P 500 call options, all having the same strikes but different contract expiration dates. Taking our series of S&P 500 call options, all with an at-the-money strike price of 1100, we can simulate how time value influences an option's price. As Figure 3 shows, the highest premium is at the 68-day interval (remember prices are from Feb 8), declining from there as we move to the options that are closer to expiration (33 days and five days). The next level of the premium, a decline of 14.70 points to 11, reflects just five days remaining before expiration for that particular option.


The concept looked at in another way in Figure 4, the amount of days required for a $1 (1 point) decline in premium on the option will decrease as expiry nears. Looking at the exhibit, you can see that at 68 days remaining until expiration, it takes 1.75 days for a one-dollar decline in premium. The Bottom LineWhile there are other pricing dimensions (such as delta, gamma, and implied volatility), a look at time-value decay is a good place to start when beginning to understand how options are priced.
Buying puts or calls is typically a way for investors and traders to speculate with only a fraction of their capital. Rather than struggling against the ravages of time value, the option seller can benefit from the passage of time, and time-value decay becomes money in the bank even if the underlying is stationary. But before turning to a detailed look at the phenomenon of time value and time-value decay, let's review some basic option concepts that will make it easier for you to understand what we mean by time value. When the price of a commodity or stock is the same as the strike price (also known as the exercise price) it has zero intrinsic value, but it also has the maximum level of time value compared to that of all the other option strike prices for the same month. For a call option, 'in the money' means that the underlying price is greater than the option strike price. If we leave volatility aside for now, the time-value component of an option, also known as extrinsic value, is a function of two variables: (1) time remaining until expiration and (2) the closeness of the option strike price to the money. As Figure 2 indicates, deep in-the-money options and deep out-of-the-money options have little time value. Again, we are simply taking different prices at one point in time for an at-the-option strike (1100), and comparing them. During the last five days of that option, if it remains out of the money (the S&P 500 stock index below 1100 at expiration), the option value will fall to zero, and this will take place in just five days. But at just 33 days remaining until expiration, the time required for a one-dollar loss in premium has fallen to 1.28 days. But these straight option buyers miss many of the best features of stock and commodity options - such as the opportunity to turn time-value decay into potential profits. Figure 1 provides a table of possible positions of the underlying in relationship to an option's strike price. For example, if we have an S&P 500 call with a strike price of 1100 (an example we will use to illustrate time value below), and if the underlying stock index at expiration closes at 1150, the option will have expired 50 points in the money (1150 - 1100 = 50). That is, to be out of the money, the put's strike would be less than the underlying price, and the call's strike would be greater than the underlying price. Through this presentation, we are making the assumption (for simplification) that implied volatility levels remain unchanged and that the underlying is stationary.


If we compare the prices of each option at a certain moment in time, each with different expiration dates (Feb, March and April), the phenomenon of time-value decay becomes evident.
This means that the amount of time premium disappearing from the option's price per day gets greater with each passing day.
In the last month of the life of an option, theta increases sharply, and the days required for a one-point decline in premium falls very fast. If you have ever sold covered calls against stock positions, you can appreciate the beauty of selling time value. Finally, both put and call options would be at the money when the strike price and underlying expire at the exact same price. At five days remaining until expiration, the option is losing one point in just less than half a day (.45 days).
While we are referring here to the position of the option at expiration, the same rules apply at any time before the options expire.
Time value is at its highest level when an option is at the money because the potential for intrinsic value to begin to rise is the greatest right at this point. Figure 3 graphically illustrates the premium for these at-the-money S&P 500 call options with the same strikes. If we look again at Figure 3, at five days remaining until expiration, this at-the-money S&P 500 call option has 11 points in premium. Here, Vin Diesel wipes his eyes during a visit to the memorial site set up in Valencia, Calif. For example, two call options with the same calendar month expiration (both having the same time remaining in the contract life) but different strike prices will have different levels of extrinsic value (time value).
With the underlying stationary, the Feb call option has five days remaining until expiry, the Mar call option has 33 days remaining and the Apr call option has 68 days.
Of course, the rate increases even more in the final day of trading, which we don't show here.



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