Payoff Diagrams

The best way to understand option strategies is to look at a diagram of how they behave.

Let's look again at the basics of a Call Option. Here is an example;

Underlying: MSFT
Type: Call Option
Exercise Price: $25
Expiry Date: 25th May (60 days until expiration)

Let's imagine that this option is worth $1.2. This means that the shares have to be trading at $26.20 for us to break even (Exercise Price of $25 plus the Option Premium of $1.20). If the shares are trading anywhere above $26.20 then we can start counting the profits. Anywhere below $26.20 and we lose out by the premium - $1.20. So, with a long call we have limited risk (the Option Premium) while at the same time having unlimited profit potential. Let's look at a graph of this concept;

Option Payoff at Expiration Graph

The horizontal line across the bottom (the x-axis) represents the underlying instrument - in this example, the share price of Microsoft. The vertical axis illustrates our profit/loss as the shares move up or down.

The blue line is our payoff.

You can see that the vertical distance between the 0 profit line and the blue line is our maximum loss, i.e. the amount we paid for the option. So, anywhere under our break even point of $26.20 means that the option isn't profitable and we will not exercise and we will lose any premium we paid. If the market crashes and the stock goes bankrupt, our maximum loss will still only be the premium we paid.

However, as the shares trade past the $26.20 mark we start making money. If, at expiry, Microsoft shares are trading at $50 then we will make $23.80 per share.

How? Because we will exercise our right and have the seller of the option hand over Microsoft shares at a value of $25 (the exercise price). Minus the amount we have already paid for the option and we have a profit per share of $23.80.

What about if we sell a call option?

Option Payoff at Expiration Graph - Short Call

If the shares trade anywhere below $25 then we keep the $1.20 that we received when we sold the call option - the option premium.

However, if the market rallies then our losses become unlimited.

For more option payoff charts, be sure to check out the option strategies link. Or, to see option strategies in action, take a look at the option tutorials section.

Comments (33)

Peter

August 29th, 2012 at 7:19pm

Hi Migh,

Sure, here's a payoff graph of a $35 call option with 60 days to maturity, 25% volatility, 0% dividend yield, 8% interest rate and an underlying price of $40.

$35 Strike Call Payoff

migh

August 24th, 2012 at 3:06am

suppose a stockm price is 40 and effective annual interest rate is 8%.draw a single payoff and profit diagram for the following option
strike price is 35 with premium of 9

Peter

February 15th, 2012 at 10:17pm

I'd say the best way to trade is to paper trade your ideas. If you don't want to wait until opening a brokerage account before testing then you can use an application like Visual Options Analyzer where you can enter trades and manage them against downloaded option prices.

Jon

February 15th, 2012 at 4:04pm

So what would be the best way to just 'test the waters' without extreme risk of loosing a lot of money? The least risky version of options trading?

Peter

February 6th, 2012 at 8:28pm

If the option expires worthless, yes, you will always keep 100% of the premium received.

Jason

February 6th, 2012 at 7:50pm

If you sell short an option at $1.20 and the stock goes lower - the direction you intended you would most likely not walk with $120. Within the last 30 days to expiration, even in the money options can take a beating. You may only walk with $20. So, what is the best strategy? Buy to close with 15% profit?

Peter

October 30th, 2011 at 6:13am

Hi Steve, if the bond doesn't convert to anything (i.e. convert to a call option on the stock) then the payoff in this example would simply be the stock price plus $500 per year. Unless I have misunderstood?

Steve

October 28th, 2011 at 9:34am

Will someone please offer some help?

Draw a final payoff diagram for a stock and a bond, where the bond promises to pay off $500.00 in one year

Peter

October 12th, 2011 at 6:43pm

Hi Nancy,

It really depends on your view of the underlying stock. If your view is extremely bullish then you would be more likely to buy deep OTM options as your rate of return on the premium will be greater if the stock does rise as expected compared to the same amount invested in ATM/ITM options.

You can buy deep ITM money options as an alternative to buying the shares outright. Doing this means you can have a large exposure to the stocks' movements without spending as much to buy the shares.

Nancy

October 12th, 2011 at 9:06am

I'm struggling with how to arrive at a good strike price for a call. Does one ever choose, for instance, a strike price which is below the current stock price? As the price, goes up, I would still be profitable regardless of the strike price, right? Specifically, I'm looking at AMZN April 225 call. It is currently floating around that number now.

Peter

September 5th, 2011 at 5:55pm

Hi Gurko, if the price only reaches $26 then your loss would be less at $1.00 instead of $1.20.

Gurko

September 5th, 2011 at 6:08am

Greetings ,
In the first example you said that if the price of the stock is below $26.20 you wouldn't exersize it and you will lose the premium that you paid ($1,20).
What if the price reaches $26 - wouldn't it be more profitable to exersize the option and to lose only $0.2 ?
Could you make that clear to me ?

Peter

December 7th, 2010 at 9:09am

What figures do you mean...the payoff charts? They are not currency specific...they are the same no matter what asset/currency the options are traded in.

nic

December 7th, 2010 at 7:40am

Hi, I was just wondering how recent these figures are? and do you how i would get hold of the british figures if possible?
Thanks!

Peter

October 9th, 2010 at 6:41am

It depends on your broker. Short positions require a margin, rather than just paying out the premium if you were to buy the option. A good guide, however, is to multiply the volume of contracts by the strike price and then multiplied by the contract size, which for US options is 100.

benjamin

October 9th, 2010 at 2:48am

i am looking to short uncovered options. i will be short selling 5-7 option contracts. how much $$$ would i need in my account?

Peter

June 9th, 2010 at 12:37am

Hi Dolf, the question Carter asks is in relation to a naked call, not a covered call - they have different payoff profiles. Sure, a covered call's losses is technically limited to the stock price going to zero. Not unlimited - but a lot.

With a covered call, you're short a call option. Once the stock trades below the strike the holder of the option won't exercise, so you just lose the premium and the option value goes to zero. However, you are still long stock, which will lose value as the price drops - not unlimited, sure, but all the way to zero.

As the stock rallies past the strike, yes, you would be called out and have to sell the stock at the strike price offsetting the long position already held in the stock making the profit realized the premium already received for selling it. This is why a coverved call is a bullish strategy as you want the market to rally so you are called away and give up the stock.

Dolfandave

June 8th, 2010 at 1:46pm

Peter, As Carter mentione (two years ago:) in the first post below there is some question to "unlimited" losses. Yes if this is a naked call. I have been studying covered calls in my trek to learn options trading and if it were a covered call I personally don't view it as an unlimited loss. If I buy an OTM option as I understand this is the best technique w/ covered calls, then I will make the premium paid to me for writing the call plus the difference between the purchase price of my stock and the strike price. I don't think this is a bad deal nor would I really cry about it if I got called out in this situation. I wouldn't necessarily buy back the same security if I got called out. Your thoughts?

joel

April 8th, 2010 at 1:54pm

thanks guys i was struggling to understand the pay offs now it has become easy

Peter

June 11th, 2009 at 12:03pm

Hi Henry,

Hard to say exactly, but the following article points to the CBOE saying 10% of options are actually exercised:

http://www.protraderdigest.com/articles/20081025_7

Mmm, I've never heard of this happening. If the option is very close to expiration and a company is bidding up the options above their intrinsic value, market makers would arb them out by selling the options and hedging with the stock.

henry

June 9th, 2009 at 9:10am

Hi, silly question im sure...

but what ratio (about) are options actually exercised and go through to trade? Im guessing people get it wrong more than right and therefore it is extremely common to not exercise the trade.

Secondly, are there companies out there that buy up your options once they have alot of intrinsic value very near to expiration and you dont have the liquidity/cash to exercise the trade (hence why you would sell it). I hope that makes sense. Thanks

Peter

May 21st, 2009 at 6:37am

Hi Rajeev,

Your clearer decides who the counterparty is if you decide exercise your option. The person on the other side will be a holder of a short call option.

About your second question...if you bought the option and then sold it 3 months later, you no longer have a position. You would only be obliged to sell shares if you were short the call option and the buyer exercised the option.

Rajeev

May 20th, 2009 at 9:52pm

This is very useful After going through the whole thing, I have a question. If I decide to exercise the call option, who is the other side, who is going to sell the stock. On the same thought, if I bought the call option for 1.20, sold it for 2.00 3 months later, at the time of maturity, if the buyer decides to exercise the right, am I supposed to provide the shares or the whoever wrote the call option originally.

Peter

May 5th, 2009 at 7:32pm

Hi Tom,

It depends on the specifications of the options, but generally, yes. In the US exchange traded options have a "multiplier" or "contract size" of 100, so the price is multiplied by 100. However, in Australia the multiplier is 1,000. So it depends on the exchange where the options are traded.

Tom

May 5th, 2009 at 10:59am

Sorry for the very basic question, but if you're buying an option priced at $1.20 as in the above example, are you physically paying $1.20, or is it multiplied by 100, i.e. $120?

Peter

April 13th, 2009 at 7:01am

Hi Chuck,

It depends on the exchange. For example, in the US there is no charge for exercise and assignment for US stock options, however, in Australia and Europe you will be charged commissions.

This was taken from the Interactive Brokers website under Fees and Commissions:

http://www.interactivebrokers.com/en/accounts/fees/commission.php

Chuck

April 11th, 2009 at 5:04pm

If you intend to exercise your in the money call option and sell the stock immediately to realize your profit, would you also incur two stock trade fees as well as the original option purchase fee ? Are option trading fees similar to stock trading fees ?

Peter

April 9th, 2009 at 7:42am

The last trading day for April 09 options in the US is Friday the 17th. CBOE shows the 18th (Saturday) as the expiration date but Yahoo! is currently showing 17th when checking MSFT options. I couldn't see the 11th mentioned. I would say that's what it comes down to..."technically" they expire on the Saturday following the third Friday of the expiration month. But really Friday is the last trading day...i.e. you cannot get out of the option by trading it on a Saturday.

Jack

April 8th, 2009 at 1:39pm

april contracts on scottrade expire on 4/18. april contracts on yahoo financial expire on 4/11. I don't understand.

Admin

October 9th, 2008 at 4:52am

Hi Queenie,

Sorry...don't fully understand your question.

You will know the Microsoft is trading at $50 because of the price in the open market.

Queenie

October 6th, 2008 at 7:44am

"If, at expiry, Microsoft shares are trading at $50 then we will make $23.80 per share."

How would you know the shares are trading at $50 and will will make &23.80 per share.

Admin

October 3rd, 2008 at 8:43pm

Hi Carter,

When you sell a call option you are obliged to sell stock to the option buyer if s/he decides to exercise. Once the stock trades upwards past the strike price the buyer will certainly exercise the option as it is now ?in-the-money?. At this point you are effectively short the stock at the strike price of $25. Your losses have no limit and will continue to increase as the stock rallies. For example, if the stock is trading at $40 at expiration, you will be exercised and have to sell stock at $25 and buy them back on the open market at $40 for a $15 loss per contract.

Make sense?

carter

October 3rd, 2008 at 6:57pm

Why would our options be unlimited if the market rallies in the last example? Wouldn't we only lose the price of the contract, as in the other scenario, if the stock doesn't go above $26.20?

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