Delta, Gamma, Theta, Vega - Options Pricing - Options Mechanics - YouTube

Channel: Option Alpha

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Hello everyone, and welcome back to Option Alpha for our second video in our series here
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- Understanding Delta, Gamma, Theta, and Vega.
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Now, I know all these Greek words mean a lot to you guys, and seem very confusing on the
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outside.
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But I promise you with this video, you'll understand completely how each of these affects
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the pricing of an option during the expiration cycle.
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So, I'm going to get right into it here, and we're going to take a look at a pricing diagram
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or pricing table for an option, and then look at the Delta, Gamma, Theta, and Vega for this
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particular option, both on the call side and on the put side.
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Okay, so what we have here is an option pricing table for the power shares of the QQQQ.
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And again, this is the ETF for the NASDAQ index.
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And it's an exchange-traded fund that kind of tracks the NASDAQ has a really good option
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pricing table to look at, very, very liquid options that trade here on the queues.
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Now, just for reference: The queues did close at 49.23 today, down about $.43 about 1% at
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the making of this particular video.
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Now, here is the pricing table that we're going to look at today.
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On the left side, we have the call options.
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And you can see right here that Delta, Gamma, Theta, and Vega are already listed for us,
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and then we have the put options on the right side of your screen here.
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And this is again, where Delta, Gamma, Theta, and Vega are already listed.
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Now, these boxes in between here, the Bid and the Ask, that's just the price of the
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option, the Bid, Ask spread.
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The column down here in the middle is the expiration period.
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So, you can see here that we actually are looking at these particular options right
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now at a November 2010 expiration type option.
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Now obviously, by the time you watch this video, this will probably be way beyond November
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2010, but all of these sort of guides and guidelines here work for any of the option
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pricing screens that you'll probably be looking at.
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It'll just be a different expiration period.
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Now, right next to the expiration or the month of expiration is the strike price of these
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options.
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So again, you can see we have $1 increments of these options.
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So, let's get into it here for the calls.
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Now, very simply, we're going to start with Delta.
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Delta is the incremental price movement in an option for a 1% move or a one point move
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in the underlying security.
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So, you can see here that Delta right now, for these 49 November calls is about .54.
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So, what that's telling you is that if the queues were to trade up by one point, that
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you would make about $.54 per option contract on this trade.
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In this case, the $.54 equates to about $54 in value for this one option contract.
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Now, if we go over here and take a look at the put options, we know that when we trade
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puts, we want the underlying security or stock to go down.
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So, you can see here that Delta for a put option is always negative, because an increase
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in the stock price is not good for put option buyers.
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So, you can see here that for these 49 November puts, we have a Delta of negative .46.
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So meaning, if the queues trade up by one point, we will actually lose about $.46 which
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equates to about $46 on this one contract for the put option.
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So again, that's a real big difference and can really help you understand how options
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are traded.
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You can see that as we go out of the money for put options, the Delta becomes less and
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less.
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It's not equal across all fronts.
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And really the reason because of this is that the farther you get away from the current
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market with your options, the less a big move has as far as your profit margin, the less
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impact that it has.
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You can see that on the caddy corner view of the screen here, the same effect happens
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as you go out of the money for the call options.
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There is a lower and lower Delta.
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So, let's take a look at now, Gamma for both the puts and calls.
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Now, if we're taking a look at here, (the Gamma for the calls which is in this column
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right here) you can see that the Gamma for the calls is about .10.
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Now, what Gamma is, is it's an always positive number for both calls and puts, and it's really
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the rate of change of Delta.
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So again, it's the rate of change of Delta.
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Both Delta and Gamma are constantly moving with the stock price in the market.
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So, with a Gamma of about 10, it means that for every one point move in the underlying
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security, the Delta could change by an additional $.10.
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So, let's say that the underlying security, the queues goes up by one point.
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We could make (in this particular instance for the call options) about .54.
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If it goes up another one point, we could make another .54, plus another .10.
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So, you can see, it's an additional step that we have on top of these options.
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If we go over here to the put options, again you can see that Gamma is positive because
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it's the rate of change of Delta and has no effect on what Delta is.
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If we look at these put options for the 49 strike put, you can see that if the queues
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trade up by one point, we'll lose $.46.
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If the queues trade up by another point on top of that, we could lose $.46 once again,
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plus another $.11 on top of that.
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So, you can see, it just compounds on top of itself until it's basically worthless.
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The thing I wanted to point out about Gamma is that Gamma can be zero just like Delta
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as you start to get way, way, way out of the money options.
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And this is really because these options have no chance of getting hit or a very, very slim
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chance of getting hit, and therefore, they have no pricing effect on the options at all.
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And you can see that this happened as well in the lower priced options for puts.
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As you get out here towards the lower end of the 40's, there's a slim chance that these
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are going to be hit by November, and therefore, the Delta and Gammas are very low.
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Now, the last thing that we're going to look at here is actually the options Theta.
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Now, Theta is the most important part of the pricing period for options for this one particular
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reason.
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It is always negative, meaning it's always working against you as an option buyer, but
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not as an option seller.
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Now, you can see here naturally, why we choose at Option Alpha to be in strategies that are
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focused and built on option selling.
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And that's because we have Theta working in our advantage, or time decay working in our
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advantage.
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Theta is very simply, the money that you lose every day because you get closer to expiration.
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Now, Theta is going to be obviously bigger for those options that are closer to the current
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strike price and the current market price of the options, and that's why you can see
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here that these call options right around 47 to 50 for these calls have a Theta of .02
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versus these options that are a little bit more in the money or a little bit further
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out in the money.
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Now, Theta is that one thing you can never ever, ever get away from.
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It's always there and it's always losing money.
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So, the big trick really, the big scheme or the big myth about options is that if the
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market moves higher and you have a call, that you're definitely going to make money.
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And that's just not true.
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If the market moves higher, yeah you could make money, but it has to move fast enough
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and quick enough so as Theta doesn't decay the value of that option.
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Theta is just that little thing that's eating away your value of your options slowly every
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day.
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And then when you wake up at the end of expiration, you have no value in this option and you have
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a big loss on your hands.
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So again, Theta is something very important that you want to take a look at.
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Again, clearly you can see that as you get closer to the current market, these at the
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money options, Theta becomes more and more powerful and eats away more and more at the
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value of the option.
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Okay, so we've already covered Delta, Gamma, and Theta.
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Now, we're going to cover the Vega of these options.
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Now, Vega is very, very simple, and that's because the V stands for volatility.
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Basically, what Vega is, is it's the change in the option value for every 1% increase
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in volatility.
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Now, we know that options have a finite life.
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So, as the market becomes more volatile, there's more swings in the market, the market's trading
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very irrationally and very rapidly as opposed to trading very, very flat.
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The more swings that we have in the market, the more likelihood that those options are
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going to be worth more at expiration.
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So, you can see here that the Vega for every option is always positive, unless you get
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to these more finite outer end type out of the money options.
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Now, it's always positive because an increase in volatility can go both ways.
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It can be an increase in volatility that has a major selloff or an increase in volatility
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that has a major rally on our hands.
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Obviously, just like everything else that we're already learned about Delta, Gamma,
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Theta, the closer you are to the current market price or the current strike price, the more
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impact you'll have on Vega in your option price.
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Now, this also works in the reverse.
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If we have volatility that is going down, then we can have these options become worth
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less just because the market is a little bit more flat and a little bit more calm.
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In this particular instance, for these call options right here, you can see that the volatility
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premium is about $.7 cents per option.
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Now, if volatility were to increase just 1% and nothing else would change at this point,
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you would make about $.7 because of the increased volatility in the market.
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If volatility were to go down 1%, you would lose about $.7, assuming nothing else changes.
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So again, I hope this has been really helpful for you about Delta, Gamma, Theta, and Vega,
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and how they affect the pricing of an option.