## Options Pricing: Profit and Loss Diagrams

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Here you can see the same for put option payoff. And here the same for short call position the inverse of long call. Buying a call option is the simplest of option trades. A call option gives you the right, but not obligation, to buy the underlying security at the given strike price. Below the strike, the payoff chart is constant options call and put diagram negative the trade is a loss. For example, if underlying price is Same as scenario 1 in fact.

Finally, this is the scenario which a call option holder is hoping for. Because the option gives you the right to buy the underlying at strike price If you bought the option at 2. You can also see this in the payoff diagram where underlying price X-axis is Initial cash flow is constant β the same under all scenarios. It is a product of three things:.

Of course, with a long call position the initial cash flow is negative, as you are buying the options in the beginning. The second component of a call option payoff, cash flow at expiration, varies depending on underlying price. That said, it is actually quite simple and you can construct it from the scenarios discussed above.

If underlying price is below than or equal to strike price, the cash flow at expiration is always zero, as you just let the option expire and do nothing. If underlying price is above the strike price, you exercise the option and you can immediately sell it on the market at the current underlying price.

Therefore the cash flow is the difference between underlying price and strike price, times number of shares. Putting all the scenarios together, we can say that the cash flow at expiration is equal to the greater of:.

It is the same formula. The screenshot below illustrates call option payoff calculation in Excel. Besides the MAX function, which is very simple, it is all basic arithmetics. One other thing you may want to calculate is the exact underlying price where your long call position starts to be profitable. If you don't agree with any part of this Agreement, please options call and put diagram the website now.

All information is for educational purposes only and may be inaccurate, incomplete, outdated or plain wrong. Macroption is not liable for any damages resulting from using the content.

No financial, investment or trading advice is given at any time. Home Options call and put diagram Tutorials About Contact. Tutorial 1 Tutorial 2 Tutorial 3 Tutorial 4. We will look at: Call Option Payoff Diagram Buying a call option is the simplest of option trades. The key variables are: Strike price 45 in the example above Initial price at which you have bought the option 2.

Call Option Scenarios and Profit or Loss Three things can generally happen when you are long a call option. Underlying price is options call and put diagram than strike price Finally, this is the scenario which a call option options call and put diagram is hoping for.

Call Option Payoff Formula The total profit or loss from a long call trade is always a options call and put diagram of two things: Initial cash flow Cash flow at expiration Initial options call and put diagram flow Initial cash flow is constant β the same under all scenarios.

It is a product of three things: Cash flow at expiration The second component of a call option payoff, cash flow at expiration, varies depending on underlying price. Call Option Break-Even Point Calculation One other thing you may want to calculate is the exact underlying price where your long call position starts to be profitable.

It is very simple. It is the sum of strike price and initial option price. Long Call Option Payoff Summary A long call option position is bullish, with limited risk and unlimited upside. Maximum possible loss is equal to initial cost of the option and applies for underlying price below than or equal to the strike price. With underlying price above the strike, the payoff rises in proportion with underlying price.

The position turns profitable at break-even underlying price equal to the sum of strike price and initial option price.

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Let's say you want to by a TV on sale at Wal-Mart. You drive there only to find out that it's "sold out". So you go to the clerk and ask for a "rain check". This "rain check" is a guarantee that you will get the TV for the sale price when they are back in stock.

There may be an expiration date on the "rain check" for 1 month from the out of stock date. This rain check qualifies as an Call option. You have the right to purchase the TV for the sale price up to 1 month regardless of how much the TV goes up or down in price during that period. You are the buying this call option and Wal Mart is the seller. The only difference of this rain check versus a real option is that there is NO value on this option and it is probably non-transferable.

Now, let's use this same concept for a stock. On the other side of this deal, there is someone who is willing to sell you this right for you to buy Microsoft from him for Rain check for TV Expiration Date. Profit loss VS Price graphs are by far the simplest and most powerful way to communicate the risk and reward assoicated with any option or option spread two or more options. Back to the Microsoft stock option example from above.

The contract size is shares. Profit loss Price - microsoft stock Your profits are same as if you had bought Microsoft stock less the option price.

The PL vs Price graph consists of: Profit or loss of the position plotted on the Y-axis. Underlying price plotted on the X-axis. The current price of the underlying is located in the center of the X-axis underlying price range. These two graphs represent just buying or selling the instrument stock, future, index.

They are simply 45 degree lines which intersect at the current underlying price. For every dollar the underlying price moves up or down, there is an incremental profit loss movement. Selling the Underlying also is known for stocks is known as shorting the stock selling the stock without first owning it. Buying a call option: The above graph is shows the profit or loss of buying a call option for a range of projected underlying prices at expiration day for the call option.

Notice below that the loss is limited to the price of the call option if the underlying price at options expiration is LOWER than the current underlying price. Buying a put option: The above graph is shows the profit or loss of buying a put option for a range of projected underlying prices at expiration day for the call option. Notice below that the loss is limited to the price of the put option if the underlying price at options expiration is HIGHER than the current underlying price.

Profit and Loss moves incrementally 45 degree angle if the underlying price at options expiration day is LESS than the underlying price today. The above graphs show the profit and loss at options expiration for selling a call or put. But the profit is limited to the price of the option. For example, if you combine buying a call and buying a put together, this forms a spread known as a straddle:.

The straddle spread is a strategy which would profit if the underlying moved considerably up or down. Remaining the same would cause a loss limited to the combined prices of the call and put options.

This position could be reversed to selling a put and selling a call known as a Short Straddle spread. The above Short Straddle position is a neutral strategy profitable if the underlying price remains the same.

Maximum profit is the combined prices of the call and put options and maxiumum loss is unlimited. Another common spread position is known as a covered call. This is formed by buying the underlying and sell a call. Your maximum profit is the price of the call.

Your maximum loss is the value of the underlying less the call you sold. You would make money so long as the underlying stayed the same or moved up. Strike price is the price of the underlying that you have the "option" to buy or sell for.

For example, a 50 call would mean that you have a right to buy the underlying for 50 before a certain date. All call and put options have a series of strike prices. This series has a center as the current price of the underlying. For example, if a stock is trading at This strike is also known as the "at the money" option. The 50 call would be the "at the money" call since it is closest to the underlying current price of An "in the money" call would be any call with a strike price LESS than the at the money call.

An "Out of the money" Put strike would be an "In the money" Call strike. When we view the PL chart for varying CALLS, we see that the in the money calls have higher maximum losses, but a lower break even price.

This spread consists of buying one call option of a particular strike price and selling another call option of a different strike price. You can also do the same for puts. The main difference between the credit versus debit spread is that in a credit spread, your sell option price will be greater than your buy option price giving you a net credit when you open the position.

The debit spread buy price is greater than the sell price giving you a net debit when you open the position. The PL graph would look like the following:. Notice how the call debit spread has a limited loss as the net option cost of buying and selling the calls.

It has a maximum profit as the net difference in the strikes of both calls. For example, assume we buy a 50 call for 2 and sell a 60 call for 1. The maximum loss would be -1, and the maximum gain would be The spread initially gives you a net credit of the sell option price less the buy price. This is a bearish position which is profitable only as the price of the underlying goes down. The maximum gain is the net credit of the option prices, the maximum loss is the difference in the option strike prices.

Put credit and debit spreads work the opposite way of Calls For a Put debit spread we would: The spread would give us an initial cost of the difference between the buy option and sell option which would also be the maximum loss. The maximum gain is the difference in the strike prices. It would give you an initial credit of the net cost of the two options with a maximum gain of the difference of the option strike prices.

It is a bullish strategy profitable if the underlying price increases. Here is an easier way to summarize option components when combining them to construct spreads. The ratio spread is usually a three option spread strategy with 1 at the money option combined with 2 out of the money options. As we can see from the above graphs, backspreads have a lower maximum risk but smaller profit range.

Most 4 option spreads form high probability of profit neutral strategies. This high probability of profit comes from the statistical fact that the the underlying price will most likely remain nearly the same given a time limitation. There two main types of four option spreads: The butterfly and the iron condor. The main difference is that the iron condor combines both call and put options whereas the butterfly is call or put exclusive.

Notice how the butterfly spread is a neutral strategy being most profitable when if the underlying price stays the same. Notice also how the loss is limited to the net option price. You can visualize how both credit spreads are overlayed together to form the iron condor. Notice how the flat iron condor has range of maxiumum profit versus the butterfly having one point. For any PL vs Price chart, you usually see two plots: Here is what the PL vs price today graph would look like as compared to the PL at expiration for a the basic options:.

Observe how the PL vs Price Today would obviously have a zero profit if you closed the position today and the underlying price stayed the same. Also note the non-linear nature of a new undecayed option. As you can see, PL vs Price graphs are a very effective to communicate how options work together to form specific trading strategies. When in doubt of how your spread strategy will react to any given underlying price change, plot it out on this graph.

Once you get the hang of using these graphs, you will be on your way to making more informed options trades. Copyright Star Research, Inc. All rights reserved, no reproduction or re-transmission of this document is permitted without express permission from Star Research, Inc. Rain check for TV. Call buy or Put sell. Price - microsoft stock.