The Options Profit/Loss Graph – Part 2

In the previous article called Using the Options P/L Graph, I began to describe one of the option trader’s most powerful tools. We’ll extend that discussion today. If you haven’t read the original article yet, please click on the link above to read it before continuing.

In that article, I showed two P/L graphs for a single trade – a call option on shares of SPY. One of the graphs was from the point of view of the call buyer. The other was from the call seller’s point of view. I made the point that whatever happens after the call option is purchased, one of the two parties (the buyer or the seller of the option) will make a profit, while the other party will have a loss of the same amount.

Below is another pair of P/L graphs in which both show the same trade. This pair is updated somewhat. These represent the profit or loss on a trade on a call on SPY at the 274 strike, which is where SPY was trading at the time of this writing.

The call option shown had an expiration date of September 21, 2018, which was 91 days in the future. Its price at the time was $7.58 per share ($758 per unit). This is what a call buyer would pay to a call seller to purchase this option.

After paying $758 in cash for the option, the call buyer would then have the right to buy (or call away) from the call seller 100 shares of SPY at any time up to the close of business on the expiration date on September 21. They would do this by paying an additional amount equal to the $274 strike price ($27,400 for 100 shares) to the call seller. This right was absolute and would apply no matter what the market price of SPY was at the time the option was exercised. The call buyer, of course, expected and hoped that the price of SPY would be much higher.

The call seller, in turn, in exchange for the $758 in cash he had received for the option, would take on the obligation to turn over the 100 shares of SPY to the call buyer and accept $27,400 in payment for them, when and if ordered to do so by the call buyer. Like the call buyer’s right, the call seller’s obligation was absolute and applied no matter what the market price of SPY might be when the option was exercised.

Here are the two P/L graphs:

Diagram 1 – Call Buyer’s P/L Graph

Diagram 2 – Call Seller’s P/L Graph

As described in the first article, note that the two graphs above are mirror images. If a horizontal line were drawn on either graph at the level where Theo Value P/L on the left axis is zero, and the graph were rotated top-to bottom 180 degrees, that graph would become the other party’s graph. The buyer’s graph becomes the seller’s graph, or vice versa.

There are a few things that are new on this pair of graphs compared to the first ones I showed.

1. The first graph (the call buyer’s) generally slopes upward. This means that at higher stock prices (farther to the right), the buyer’s profit is higher. The call buyer’s position is bullish – he wants to see higher stock prices.

2. The second graph (the call seller’s) slopes downward. This means that at lower stock prices (farther to the left), the call seller’s profit is higher. The call buyer’s position is bearish – he wants to see lower stock prices.

3. Note under the graphs, the section labeled Positions and Simulations. In each case, the Price is shown as $7.58. This is the per-share price at which these calls were trading at the time the graphs were made. That is the amount at which a buyer could buy one of these calls at that time. It is used as the starting point for all profit and loss calculations on the graphs.

4. That $7.58 per-share price adds up to $758 per options unit, or contract. That’s why $758 is shown as the Max Loss on the call buyer’s graph and as Max Profit for the seller. If SPY were to drop in price, so that the call buyer never exercised his option; and he held the option all the way until expiration, then he would lose the entire $758 that he had paid. In that case, the call seller would simply keep that $758 as clear profit.

5. These graphs have two lines each – a blue one and a gray one. The blue line shows what the profit or loss on the trade would be if the trade were closed out when the stock was at the price directly under any given point on that blue curve, at a specific time in the future – the expiration date.

6. The gray line shows what the profit on the trade would be if the trade were closed out when the stock was at the price directly under any given point on that gray curve, at a different specific time – that time is today.

7. The blue and gray lines are at different heights all along the curves. This indicates that the profit on the trade would be different if the trade were to be closed out today (gray line) than it would be if closed out at the future date on which the option expires (blue line). This difference is because of time value. Today, the option has time value. At expiration day, when there is no time left in the option’s life, it will have no time value, so its total value will be less. In fact, if at that time the price of SPY is under $274.00, (the strike price)  the call will have no value at all.

8. For the option owner (top graph), the today’s P/L gray line is higher at every point than the At Expiration blue line. This indicates that if the trade were closed out today, no matter the stock price, the profit would be higher than if it were closed out at expiration with the stock at that same price. This means that time is working against the option owner. He wants the stock to move to his target quickly, so that he can close out the trade as soon as possible, while some time value remains. He is in a race against time and is losing value by the minute.

9. Conversely, for the option seller (bottom graph), the today’s P/L gray line is lower at every point than the At Expiration blue line. This indicates that if the trade were closed out today, no matter the stock price, the call seller’s profit would be lower than if it were closed out at expiration with the stock at that same price. For the option seller, time is on his side. He is gaining profit for every minute that goes by.

That’s all that we have space for today. I hope this has helped you to begin to understand the option P/L graphs. As I mentioned at the outset, they are one of the most important items in the option trader’s toolbox.

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