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Options University’s Options 101 - Part 10

Filed Under Options 101 

Options 101
Part 10
 
Any option’s price can be broken down into the two components of intrinsic values and time values. The following formula will help:
 

Formula 1-2:
Total Value (Premium) = Intrinsic Value + Time Value

Using the July $35 call example, we know that the intrinsic value is $2.11 and the time value is 59 cents, so the total call value must be $2.11 intrinsic value + $0.59 time value = $2.70 total value. Figure 1-3 may help you to visualize the breakdown of time and intrinsic value:

Figure 1-3: Breakdown of Time and Intrinsic Values
 
If there is no intrinsic value then the option’s price is comprised totally of time value. For example, in Table 1-1, the July $37.50 is trading for $1.05. However, the stock is only $37.11. If you buy the $37.50 call, you’re buying a coupon that gives you the right to buy the stock for a higher price than it is currently trading. On the surface, it may seem that the $37.50 call has no value. But the real way to say it is that it has no intrinsic value; the $37.50 call has no immediate value. There may be value in the future, but there’s no immediate value at this time. The $1.05 premium on this call is made up of pure time premium. The only reason value exists on this call is because time remains.
 
Using Formula 1-2 for the July $37.50 call we have $0 intrinsic value and $1.05 time value, so the total value is $0 intrinsic value + $1.05 time value = $1.05 total value.
 
If you like mathematical formulas, you can find the intrinsic value of a call by taking the stock price minus the strike price (exercise price). If that number is positive, there is intrinsic value on the call option.
 
Intrinsic Value Formula for Calls:
Stock price - Exercise price = Intrinsic Value (assuming you get a positive number).
 
For example, the $35 call must have intrinsic value since $37.11 - $35 = $2.11. The $37.50 call, on the other hand, has $37.11 - $37.50 = -39 cents. Since this number is negative, there is no intrinsic value on this call.
 
For puts, we use the same reasoning but in the opposite direction. In Table 1-1, the July $40 puts are trading for $3.20. There is obviously an immediate benefit in holding the $40 put since we could sell our stock for $40 rather than the market price of $37.11. The amount of that benefit is $40 - $37.11 = $2.89. The intrinsic value is therefore $2.89. Because the put is trading for $3.20, the remaining value must be time value. The time value is $3.20 - $2.89 = 31 cents. Once again, using Formula 1-2 we see that the $2.89 intrinsic value + $0.31 time value = $3.20 total value.
 
If you wish to use mathematical formulas to find intrinsic value for puts, we can just reverse the call formula (remember, puts are like calls but they work in the opposite direction). For put options, if the exercise price minus the stock price is positive then there is intrinsic value. For example, the July $40 put has intrinsic value since $40 exercise price - $37.11 stock price = $2.89 intrinsic value. We know this is the intrinsic value since the result is a positive number. The July $35 put, on the other hand, has no intrinsic value since $35 exercise price - $37.11 stock price = -$2.11 (negative number).
 
Intrinsic Value Formula for Puts:
Exercise price – Stock Price = Intrinsic Value (assuming you get a positive number).
 
We can rearrange Formula 1-2 to come up with another useful formula for finding time value: Premium – Intrinsic Value = Time Value. We can abbreviate this formula as P – I = T, which looks like the word “pits.” Just remember that option formulas are the “pits” and you should have no trouble finding time values. What is the time value for the July $35 call? The premium is $2.70 and the intrinsic value is $2.11 so the time value is $2.70 - $2.11 = 59 cents.
 
Time Value for Calls and Puts:
Premium - Intrinsic Value = Time Value.
 
Intrinsic value is the key value to solve. If you can find intrinsic value, you can find time value. We can’t emphasize enough the importance of practicing by using the words “immediate benefit” or “immediate advantage” to determine if an option has intrinsic value. Formulas are nice if you are programming a computer but they do not allow you to understand why the formula works. Understanding the concepts is crucial to successful options trading. Use the formulas to check your answers.
 
Let’s revisit the thought process again for finding intrinsic value. For example, if someone asks you if the July $35 call in Table 1-1 has intrinsic value, you should ask yourself if there is an “immediate advantage” in being able to buy stock with the call for $35 when the stock is trading for $37.11. The answer is obviously yes. That means the $35 call has intrinsic value. How much intrinsic value? We just need to figure out the size of that advantage. If the stock is $37.11 and you can buy it for $35, there is $37.11 - $35 = $2.11 worth of advantage in the $35 call. The intrinsic value must be $2.11. Any remaining value in the option’s price is due to time value. Because the option is trading for $2.70, there must be $2.70 - $2.11 = 59 cents worth of time value.
 
What about the $40 put? Again, we know there is an “immediate advantage” in being able to sell your stock for $40 rather than the current price of $37.11, so this put has intrinsic value. How much intrinsic value? Again, we just need to find out how big the advantage is. If the owner of that put can sell stock for $40 when the stock is trading for $37.11, there must be $40 - $37.11 = $2.89 worth of intrinsic value. Any remaining value in the option’s price is due to time value. Because the option is trading for $3.20, there must be $3.20 - $2.89 = 31 cents worth of time value. Keep practicing these steps and intrinsic and time values will become second nature to you.

Moneyness
 
We just learned the difference between time and intrinsic values, and that allows us to understand some more option terminology. Options are generally classified by traders as in-the-money, out-of-the-money, or at-the-money, which are sometimes referred to as the “moneyness” of an option. An option with intrinsic value is in-the-money, while an option with no intrinsic value is out-of-the-money. An option that is neither in nor out of the money is at-the-money.
 
The phrase “in-the-money” is generally used to imply that something is profitable. If someone says their new business is in-the-money, it means they are making money, and that’s really what this term is implying with options. For example, in Table 1-1, the $32.50 and $35 calls are in-the-money since both have intrinsic value. The owners of these calls are able to buy the stock for less than it is currently trading and therefore have some real value in holding the option. The $40 call is out-of-the-money since there is no immediate benefit in holding it; there is no intrinsic value. Technically speaking, an at-the-money option has a strike that exactly matches the price of the stock. But since it is rare that the stock price will exactly match a particular strike, we usually label the at-the-money strike as the one that is closest to the current stock price. In Table 1-1, we’d say that the $37.50 strikes are at-the-money calls (even though they are technically slightly out-of-the-money).
 
If an option is very much in-the-money (usually by a couple of strike prices or more) the option is considered deep-in-the-money. If it is several strikes out-of-the-money it is considered to be deep-out-of-the-money.
 
For put options, the same definitions apply; all strikes with intrinsic value are in-the-money. For puts, this means that all strikes higher than the stock’s price are in-the-money. In Table 1-1, the $40 puts are in-the-money since they have intrinsic value. The $35 puts are out-of-the-money since they have no intrinsic value. The at-the-money strike will be the same for calls and puts, so the $37.50 puts would be considered the at-the-money strikes (even though they are technically slightly in-the-money).
 
The terms in-the-money, out-of-the-money, and at-the-money are used just for description purposes; it just makes it easier for option traders to describe types of options and strategies. For example, rather than tell someone that you bought some call options whose strike price is lower than the current value of the stock, it’s easier to say you bought some in-the-money calls.
 
To be continued….
 

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