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Great; let\u2019s take it to the next level.", "sources": [{"type": "contents", "value": {"type": "computedString", "value": "Still with us? Great; let\u2019s take it to the next level."}}]}, "properties": [], "parentId": "159", "childIds": [], "backendDOMNodeId": 399}, {"nodeId": "260", "ignored": false, "role": {"type": "internalRole", "value": "StaticText"}, "chromeRole": {"type": "internalRole", "value": 158}, "name": {"type": "computedString", "value": "Option gamma: Speed of the rate of change in price", "sources": [{"type": "contents", "value": {"type": "computedString", "value": "Option gamma: Speed of the rate of change in price"}}]}, "properties": [], "parentId": "160", "childIds": [], "backendDOMNodeId": 402}, {"nodeId": "261", "ignored": false, "role": {"type": "internalRole", "value": "StaticText"}, "chromeRole": {"type": "internalRole", "value": 158}, "name": {"type": "computedString", "value": "In the delta example above, we demonstrated how a $1 rise in the price of XYZ from $25 to $26 would, all else equal, raise the value of a 25-strike call by $0.50. But something else happens, too. With XYZ now at $26, it\u2019s in the money by $1, and its delta is now higher than 0.50 (let\u2019s say it\u2019s now 0.60). So if XYZ rises another dollar, to $27, its theoretical value would rise $0.60.", "sources": [{"type": "contents", "value": {"type": "computedString", "value": "In the delta example above, we demonstrated how a $1 rise in the price of XYZ from $25 to $26 would, all else equal, raise the value of a 25-strike call by $0.50. But something else happens, too. With XYZ now at $26, it\u2019s in the money by $1, and its delta is now higher than 0.50 (let\u2019s say it\u2019s now 0.60). So if XYZ rises another dollar, to $27, its theoretical value would rise $0.60."}}]}, "properties": [], "parentId": "161", "childIds": [], "backendDOMNodeId": 405}, {"nodeId": "262", "ignored": false, "role": {"type": "internalRole", "value": "StaticText"}, "chromeRole": {"type": "internalRole", "value": 158}, "name": {"type": "computedString", "value": "That extra delta kicker is the gamma. It\u2019s the rate of change of an option\u2019s delta given a change in the price of the underlying. \u00a0", "sources": [{"type": "contents", "value": {"type": "computedString", "value": "That extra delta kicker is the gamma. It\u2019s the rate of change of an option\u2019s delta given a change in the price of the underlying. \u00a0"}}]}, "properties": [], "parentId": "162", "childIds": [], "backendDOMNodeId": 408}, {"nodeId": "263", "ignored": false, "role": {"type": "internalRole", "value": "StaticText"}, "chromeRole": {"type": "internalRole", "value": 158}, "name": {"type": "computedString", "value": "Gamma is at its maximum value when the underlying is at the money. Why? Think of gamma as a reflection of uncertainty. When delta is close to zero or close to 1.00 (again, -1.00 for a put option), there\u2019s a high degree of certainty as to whether it will be in or out of the money at expiration. But right in the middle? It\u2019s essentially a coin flip.", "sources": [{"type": "contents", "value": {"type": "computedString", "value": "Gamma is at its maximum value when the underlying is at the money. Why? Think of gamma as a reflection of uncertainty. When delta is close to zero or close to 1.00 (again, -1.00 for a put option), there\u2019s a high degree of certainty as to whether it will be in or out of the money at expiration. But right in the middle? It\u2019s essentially a coin flip."}}]}, "properties": [], "parentId": "163", "childIds": [], "backendDOMNodeId": 411}, {"nodeId": "264", "ignored": false, "role": {"type": "internalRole", "value": "StaticText"}, "chromeRole": {"type": "internalRole", "value": 158}, "name": {"type": "computedString", "value": "Delta and gamma in action", "sources": [{"type": "contents", "value": {"type": "computedString", "value": "Delta and gamma in action"}}]}, "properties": [], "parentId": "164", "childIds": [], "backendDOMNodeId": 414}, {"nodeId": "265", "ignored": false, "role": {"type": "internalRole", "value": "StaticText"}, "chromeRole": {"type": "internalRole", "value": 158}, "name": {"type": "computedString", "value": "Figure 1 shows how this works for a stock that\u2019s trading at $25 per share, with a call option at the 25-strike, with 60 days until expiration.", "sources": [{"type": "contents", "value": {"type": "computedString", "value": "Figure 1 shows how this works for a stock that\u2019s trading at $25 per share, with a call option at the 25-strike, with 60 days until expiration."}}]}, "properties": [], "parentId": "165", "childIds": [], "backendDOMNodeId": 417}, {"nodeId": "266", "ignored": false, "role": {"type": "role", "value": "image"}, "chromeRole": {"type": "internalRole", "value": 99}, "name": {"type": "computedString", "value": "Option risk graph showing how delta and gamma change as expiration approaches.", "sources": [{"type": "relatedElement", "attribute": "aria-labelledby"}, {"type": "attribute", "attribute": "aria-label"}, {"type": "attribute", "value": {"type": "computedString", "value": "Option risk graph showing how delta and gamma change as expiration approaches."}, "attribute": "alt", "attributeValue": {"type": "string", "value": "Option risk graph showing how delta and gamma change as expiration approaches."}}, {"type": "attribute", "attribute": "title", "superseded": true}]}, "properties": [], "parentId": "166", "childIds": [], "backendDOMNodeId": 420, "browsergym_id": "c348d045-02f1-4436"}, {"nodeId": "267", "ignored": false, "role": {"type": "role", "value": "button"}, "chromeRole": {"type": "internalRole", "value": 9}, "name": {"type": "computedString", "value": "Open full size image", "sources": [{"type": "relatedElement", "attribute": "aria-labelledby"}, {"type": "attribute", "value": {"type": "computedString", "value": "Open full size image"}, "attribute": "aria-label", "attributeValue": {"type": "string", "value": "Open full size image"}}, {"type": "relatedElement", "superseded": true, "nativeSource": "label"}, {"type": "contents", "superseded": true}, {"type": "attribute", "attribute": "title", "superseded": true}]}, "properties": [{"name": "invalid", "value": {"type": "token", "value": "false"}}, {"name": "focusable", "value": {"type": "booleanOrUndefined", "value": true}}], "parentId": "166", "childIds": ["362"], "backendDOMNodeId": 421, "browsergym_id": "5afecc02-9bcd-4b19"}, {"nodeId": "268", "ignored": false, "role": {"type": "role", "value": "generic"}, "chromeRole": {"type": "internalRole", "value": 88}, "name": {"type": "computedString", "value": "", "sources": [{"type": "relatedElement", "attribute": "aria-labelledby"}, {"type": "attribute", "attribute": "aria-label"}, {"type": "attribute", "attribute": "title"}]}, "properties": [], "parentId": "166", "childIds": ["363", "364"], "backendDOMNodeId": 424, "browsergym_id": "c238a5b7-78d7-4497"}, {"nodeId": "269", "ignored": false, "role": {"type": "role", "value": "strong"}, "chromeRole": {"type": "internalRole", "value": 160}, "name": {"type": "computedString", "value": "", "sources": [{"type": "relatedElement", "attribute": "aria-labelledby"}, {"type": "attribute", "attribute": "aria-label"}, {"type": "attribute", "attribute": "title"}]}, "properties": [], "parentId": "167", "childIds": ["365"], "backendDOMNodeId": 428, "browsergym_id": "20c87862-8718-45da"}, {"nodeId": "270", "ignored": false, "role": {"type": "internalRole", "value": "StaticText"}, "chromeRole": {"type": "internalRole", "value": 158}, "name": {"type": "computedString", "value": " Delta measures the rate of change of the underlying (red line). Gamma (blue line) tracks the speed of delta's change. Gamma is highest when the underlying is at the money (50-delta).", "sources": [{"type": "contents", "value": {"type": "computedString", "value": " Delta measures the rate of change of the underlying (red line). Gamma (blue line) tracks the speed of delta's change. Gamma is highest when the underlying is at the money (50-delta)."}}]}, "properties": [], "parentId": "167", "childIds": [], "backendDOMNodeId": 430}, {"nodeId": "271", "ignored": false, "role": {"type": "internalRole", "value": "StaticText"}, "chromeRole": {"type": "internalRole", "value": 158}, "name": {"type": "computedString", "value": "Data source: Hoadley Trading & Investment Tools https://www.hoadley.net/options/options.htm/Encyclop\u00e6dia Britannica, Inc.", "sources": [{"type": "contents", "value": {"type": "computedString", "value": "Data source: Hoadley Trading & Investment Tools https://www.hoadley.net/options/options.htm/Encyclop\u00e6dia Britannica, Inc."}}]}, "properties": [], "parentId": "168", "childIds": [], "backendDOMNodeId": 432}, {"nodeId": "272", "ignored": false, "role": {"type": "internalRole", "value": "StaticText"}, "chromeRole": {"type": "internalRole", "value": 158}, "name": {"type": "computedString", "value": "Notice how the rise in gamma is pulling delta up at an increasing rate until it reaches the at-the-money point\u2014in this case, right up to $25 (when the 25-strike is at the money). 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As each day passes, not only does the option\u2019s price change (thanks to its ", "sources": [{"type": "contents", "value": {"type": "computedString", "value": "But this only tells you part of the story. It\u2019s one snapshot in time, with 60 days until expiration. As each day passes, not only does the option\u2019s price change (thanks to its "}}]}, "properties": [], "parentId": "170", "childIds": [], "backendDOMNodeId": 438}, {"nodeId": "274", "ignored": false, "role": {"type": "role", "value": "link"}, "chromeRole": {"type": "internalRole", "value": 110}, "name": {"type": "computedString", "value": "time decay, or \u201ctheta\u201d", "sources": [{"type": "relatedElement", "attribute": "aria-labelledby"}, {"type": "attribute", "attribute": "aria-label"}, {"type": "contents", "value": {"type": "computedString", "value": "time decay, or \u201ctheta\u201d"}}, {"type": "attribute", "attribute": "title", "superseded": true}]}, "properties": [{"name": "focusable", "value": {"type": "booleanOrUndefined", "value": true}}], "parentId": "170", "childIds": ["366"], "backendDOMNodeId": 439, "browsergym_id": "1e0040e5-1e77-48de"}, {"nodeId": "275", "ignored": false, "role": {"type": "internalRole", "value": "StaticText"}, "chromeRole": {"type": "internalRole", "value": 158}, "name": {"type": "computedString", "value": "); the delta and gamma values also change.", "sources": [{"type": "contents", "value": {"type": "computedString", "value": "); the delta and gamma values also change."}}]}, "properties": [], "parentId": "170", "childIds": [], "backendDOMNodeId": 441}, {"nodeId": "276", "ignored": false, "role": {"type": "internalRole", "value": "StaticText"}, "chromeRole": {"type": "internalRole", "value": 158}, "name": {"type": "computedString", "value": "Options measure uncertainty. As time passes, so does uncertainty. As you approach expiration, a low-delta option gets closer and closer to zero-delta, and a high-delta option gets closer and closer to 1.00 (or -1.00 for put options).", "sources": [{"type": "contents", "value": {"type": "computedString", "value": "Options measure uncertainty. As time passes, so does uncertainty. As you approach expiration, a low-delta option gets closer and closer to zero-delta, and a high-delta option gets closer and closer to 1.00 (or -1.00 for put options)."}}]}, "properties": [], "parentId": "171", "childIds": [], "backendDOMNodeId": 444}, {"nodeId": "277", "ignored": false, "role": {"type": "internalRole", "value": "StaticText"}, "chromeRole": {"type": "internalRole", "value": 158}, "name": {"type": "computedString", "value": "What about options that are at the money\u2014or close to it\u2014right before expiration? There will soon be certainty, but the probabilities are less clear for whether that certainty will be zero (expires worthless) or 1.00-delta (exercised).", "sources": [{"type": "contents", "value": {"type": "computedString", "value": "What about options that are at the money\u2014or close to it\u2014right before expiration? There will soon be certainty, but the probabilities are less clear for whether that certainty will be zero (expires worthless) or 1.00-delta (exercised)."}}]}, "properties": [], "parentId": "172", "childIds": [], "backendDOMNodeId": 447}, {"nodeId": "278", "ignored": false, "role": {"type": "internalRole", "value": "StaticText"}, "chromeRole": {"type": "internalRole", "value": 158}, "name": {"type": "computedString", "value": "The upshot? Gamma is highest for at-the-money options. And that gamma is even more pronounced the closer you get to expiration. Figure 2 shows delta across various prices and including the effects of time.", "sources": [{"type": "contents", "value": {"type": "computedString", "value": "The upshot? Gamma is highest for at-the-money options. And that gamma is even more pronounced the closer you get to expiration. Figure 2 shows delta across various prices and including the effects of time."}}]}, "properties": [], "parentId": "173", "childIds": [], "backendDOMNodeId": 450}, {"nodeId": "279", "ignored": false, "role": {"type": "role", "value": "image"}, "chromeRole": {"type": "internalRole", "value": 99}, "name": {"type": "computedString", "value": "Risk graph showing how delta and gamma change as expiration approaches. ", "sources": [{"type": "relatedElement", "attribute": "aria-labelledby"}, {"type": "attribute", "attribute": "aria-label"}, {"type": "attribute", "value": {"type": "computedString", "value": "Risk graph showing how delta and gamma change as expiration approaches. 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"}}, {"type": "attribute", "attribute": "title", "superseded": true}]}, "properties": [], "parentId": "174", "childIds": [], "backendDOMNodeId": 453, "browsergym_id": "8c7c16d0-189b-42f2"}, {"nodeId": "280", "ignored": false, "role": {"type": "role", "value": "button"}, "chromeRole": {"type": "internalRole", "value": 9}, "name": {"type": "computedString", "value": "Open full size image", "sources": [{"type": "relatedElement", "attribute": "aria-labelledby"}, {"type": "attribute", "value": {"type": "computedString", "value": "Open full size image"}, "attribute": "aria-label", "attributeValue": {"type": "string", "value": "Open full size image"}}, {"type": "relatedElement", "superseded": true, "nativeSource": "label"}, {"type": "contents", "superseded": true}, {"type": "attribute", "attribute": "title", "superseded": true}]}, "properties": [{"name": "invalid", "value": {"type": "token", "value": "false"}}, {"name": "focusable", "value": {"type": "booleanOrUndefined", "value": true}}], "parentId": "174", "childIds": ["367"], "backendDOMNodeId": 454, "browsergym_id": "42995084-03d8-4617"}, {"nodeId": "281", "ignored": false, "role": {"type": "role", "value": "generic"}, "chromeRole": {"type": "internalRole", "value": 88}, "name": {"type": "computedString", "value": "", "sources": [{"type": "relatedElement", "attribute": "aria-labelledby"}, {"type": "attribute", "attribute": "aria-label"}, {"type": "attribute", "attribute": "title"}]}, "properties": [], "parentId": "174", "childIds": ["368", "369"], "backendDOMNodeId": 457, "browsergym_id": "e4595e98-c9a0-4418"}, {"nodeId": "282", "ignored": false, "role": {"type": "role", "value": "strong"}, "chromeRole": {"type": "internalRole", "value": 160}, "name": {"type": "computedString", "value": "", "sources": [{"type": "relatedElement", "attribute": "aria-labelledby"}, {"type": "attribute", "attribute": "aria-label"}, {"type": "attribute", "attribute": "title"}]}, "properties": [], "parentId": "175", "childIds": ["370"], "backendDOMNodeId": 461, "browsergym_id": "fc1e9301-8c26-47a0"}, {"nodeId": "283", "ignored": false, "role": {"type": "internalRole", "value": "StaticText"}, "chromeRole": {"type": "internalRole", "value": 158}, "name": {"type": "computedString", "value": " As expiration approaches, the change in delta (that is, gamma) becomes more pronounced. (The red line's slope is steeper than the others.) As expiration approaches, the delta may become highly volatile. At expiration, the delta is either zero (below $25) or 1.0 (above $25).", "sources": [{"type": "contents", "value": {"type": "computedString", "value": " As expiration approaches, the change in delta (that is, gamma) becomes more pronounced. (The red line's slope is steeper than the others.) As expiration approaches, the delta may become highly volatile. At expiration, the delta is either zero (below $25) or 1.0 (above $25)."}}]}, "properties": [], "parentId": "175", "childIds": [], "backendDOMNodeId": 463}, {"nodeId": "284", "ignored": false, "role": {"type": "internalRole", "value": "StaticText"}, "chromeRole": {"type": "internalRole", "value": 158}, "name": {"type": "computedString", "value": "Data source: Hoadley Trading & Investment Tools https://www.hoadley.net/options/options.htm/Encyclop\u00e6dia Britannica, Inc.", "sources": [{"type": "contents", "value": {"type": "computedString", "value": "Data source: Hoadley Trading & Investment Tools https://www.hoadley.net/options/options.htm/Encyclop\u00e6dia Britannica, Inc."}}]}, "properties": [], "parentId": "176", "childIds": [], "backendDOMNodeId": 465}, {"nodeId": "285", "ignored": false, "role": {"type": "internalRole", "value": "StaticText"}, "chromeRole": {"type": "internalRole", "value": 158}, "name": {"type": "computedString", "value": "You can see in figure 2 that the delta curve gets steeper as time passes, which means its rate of change (gamma) is getting more volatile. On expiration day, if the stock is trading right around its strike price\u2014bouncing in and out of the money\u2014the delta will oscillate between almost 1.00 and 0.00. Such high volatility is one reason why many options traders opt to close their positions before expiration.", "sources": [{"type": "contents", "value": {"type": "computedString", "value": "You can see in figure 2 that the delta curve gets steeper as time passes, which means its rate of change (gamma) is getting more volatile. On expiration day, if the stock is trading right around its strike price\u2014bouncing in and out of the money\u2014the delta will oscillate between almost 1.00 and 0.00. Such high volatility is one reason why many options traders opt to close their positions before expiration."}}]}, "properties": [], "parentId": "177", "childIds": [], "backendDOMNodeId": 468}, {"nodeId": "286", "ignored": false, "role": {"type": "internalRole", "value": "StaticText"}, "chromeRole": {"type": "internalRole", "value": 158}, "name": {"type": "computedString", "value": "Selling options for premium? Gamma is your enemy", "sources": [{"type": "contents", "value": {"type": "computedString", "value": "Selling options for premium? Gamma is your enemy"}}]}, "properties": [], "parentId": "178", "childIds": [], "backendDOMNodeId": 471}, {"nodeId": "287", "ignored": false, "role": {"type": "internalRole", "value": "StaticText"}, "chromeRole": {"type": "internalRole", "value": 158}, "name": {"type": "computedString", "value": "Suppose that rather than buying an option to speculate on price direction, you ", "sources": [{"type": "contents", "value": {"type": "computedString", "value": "Suppose that rather than buying an option to speculate on price direction, you "}}]}, "properties": [], "parentId": "179", "childIds": [], "backendDOMNodeId": 474}, {"nodeId": "288", "ignored": false, "role": {"type": "role", "value": "link"}, "chromeRole": {"type": "internalRole", "value": 110}, "name": {"type": "computedString", "value": "sell an option and collect the premium up front", "sources": [{"type": "relatedElement", "attribute": "aria-labelledby"}, {"type": "attribute", "attribute": "aria-label"}, {"type": "contents", "value": {"type": "computedString", "value": "sell an option and collect the premium up front"}}, {"type": "attribute", "attribute": "title", "superseded": true}]}, "properties": [{"name": "focusable", "value": {"type": "booleanOrUndefined", "value": true}}], "parentId": "179", "childIds": ["371"], "backendDOMNodeId": 475, "browsergym_id": "76e3a0f0-90c7-48af"}, {"nodeId": "289", "ignored": false, "role": {"type": "internalRole", "value": "StaticText"}, "chromeRole": {"type": "internalRole", "value": 158}, "name": {"type": "computedString", "value": ". This is a popular strategy among experienced options traders. On the surface, it looks quite attractive, particularly if you select a strike with a somewhat low delta (and thus a high probability of expiring worthless).", "sources": [{"type": "contents", "value": {"type": "computedString", "value": ". This is a popular strategy among experienced options traders. On the surface, it looks quite attractive, particularly if you select a strike with a somewhat low delta (and thus a high probability of expiring worthless)."}}]}, "properties": [], "parentId": "179", "childIds": [], "backendDOMNodeId": 477}, {"nodeId": "290", "ignored": false, "role": {"type": "internalRole", "value": "StaticText"}, "chromeRole": {"type": "internalRole", "value": 158}, "name": {"type": "computedString", "value": "For example, suppose you sell a put option on XYZ at the 22-strike (which happens to have a -0.20 delta, with 30 days left before expiration) and suppose the premium is $0.50. Because the standard contract size for an equity option is 100 shares of the underlying stock, you collect $50 for the sale.", "sources": [{"type": "contents", "value": {"type": "computedString", "value": "For example, suppose you sell a put option on XYZ at the 22-strike (which happens to have a -0.20 delta, with 30 days left before expiration) and suppose the premium is $0.50. Because the standard contract size for an equity option is 100 shares of the underlying stock, you collect $50 for the sale."}}]}, "properties": [], "parentId": "180", "childIds": [], "backendDOMNodeId": 480}, {"nodeId": "291", "ignored": false, "role": {"type": "internalRole", "value": "StaticText"}, "chromeRole": {"type": "internalRole", "value": 158}, "name": {"type": "computedString", "value": "Your hope (and expectation) is that XYZ will stay above $22 through expiration, in which case you\u2019ll pocket the premium. The delta of -0.20 means you\u2019ve got about an 80% likelihood of being out of the money (and a 20% probability of being in the money).", "sources": [{"type": "contents", "value": {"type": "computedString", "value": "Your hope (and expectation) is that XYZ will stay above $22 through expiration, in which case you\u2019ll pocket the premium. The delta of -0.20 means you\u2019ve got about an 80% likelihood of being out of the money (and a 20% probability of being in the money)."}}]}, "properties": [], "parentId": "181", "childIds": [], "backendDOMNodeId": 483}, {"nodeId": "292", "ignored": false, "role": {"type": "internalRole", "value": "StaticText"}, "chromeRole": {"type": "internalRole", "value": 158}, "name": {"type": "computedString", "value": "Let\u2019s say some negative news comes out and the stock begins to move toward $22 fairly rapidly. All else equal, the premium is likely to go up (meaning you\u2019ll be losing money on the trade). But how high, and how quickly? Follow the greeks.", "sources": [{"type": "contents", "value": {"type": "computedString", "value": "Let\u2019s say some negative news comes out and the stock begins to move toward $22 fairly rapidly. All else equal, the premium is likely to go up (meaning you\u2019ll be losing money on the trade). But how high, and how quickly? Follow the greeks."}}]}, "properties": [], "parentId": "182", "childIds": [], "backendDOMNodeId": 486}, {"nodeId": "293", "ignored": false, "role": {"type": "role", "value": "listitem"}, "chromeRole": {"type": "internalRole", "value": 115}, "name": {"type": "computedString", "value": "", "sources": [{"type": "relatedElement", "attribute": "aria-labelledby"}, {"type": "attribute", "attribute": "aria-label"}, {"type": "attribute", "attribute": "title"}]}, "properties": [{"name": "level", "value": {"type": "integer", "value": 1}}], "parentId": "183", "childIds": ["372", "373", "374"], "backendDOMNodeId": 489, "browsergym_id": "f4a4b640-495c-4d5a"}, {"nodeId": "294", "ignored": false, "role": {"type": "role", "value": "listitem"}, "chromeRole": {"type": "internalRole", "value": 115}, "name": {"type": "computedString", "value": "", "sources": [{"type": "relatedElement", "attribute": "aria-labelledby"}, {"type": "attribute", "attribute": "aria-label"}, {"type": "attribute", "attribute": "title"}]}, "properties": [{"name": "level", "value": {"type": "integer", "value": 1}}], "parentId": "183", "childIds": ["375", "376", "377"], "backendDOMNodeId": 494, "browsergym_id": "b203d8b6-b2a0-43dc"}, {"nodeId": "295", "ignored": false, "role": {"type": "role", "value": "listitem"}, "chromeRole": {"type": "internalRole", "value": 115}, "name": {"type": "computedString", "value": "", "sources": [{"type": "relatedElement", "attribute": "aria-labelledby"}, {"type": "attribute", "attribute": "aria-label"}, {"type": "attribute", "attribute": "title"}]}, "properties": [{"name": "level", "value": {"type": "integer", "value": 1}}], "parentId": "183", "childIds": ["378", "379", "380", "381", "382"], "backendDOMNodeId": 499, "browsergym_id": "14e263d9-0a80-48c3"}, {"nodeId": "296", "ignored": false, "role": {"type": "internalRole", "value": "StaticText"}, "chromeRole": {"type": "internalRole", "value": 158}, "name": {"type": "computedString", "value": "That simple premium collection (cash flow) strategy that looked like a high-probability win? When the market moves against you, probabilities change. At that point, you need to weigh the current probability of success against your risk tolerance so you can decide whether to hang on or liquidate the position.\u00a0", "sources": [{"type": "contents", "value": {"type": "computedString", "value": "That simple premium collection (cash flow) strategy that looked like a high-probability win? When the market moves against you, probabilities change. At that point, you need to weigh the current probability of success against your risk tolerance so you can decide whether to hang on or liquidate the position.\u00a0"}}]}, "properties": [], "parentId": "184", "childIds": [], "backendDOMNodeId": 509}, {"nodeId": "297", "ignored": false, "role": {"type": "internalRole", "value": "StaticText"}, "chromeRole": {"type": "internalRole", "value": 158}, "name": {"type": "computedString", "value": "The bottom line", "sources": [{"type": "contents", "value": {"type": "computedString", "value": "The bottom line"}}]}, "properties": [], "parentId": "185", "childIds": [], "backendDOMNodeId": 512}, {"nodeId": "298", "ignored": false, "role": {"type": "internalRole", "value": "StaticText"}, "chromeRole": {"type": "internalRole", "value": 158}, "name": {"type": "computedString", "value": "Understanding how delta and gamma work together is key in your journey as an options trader. 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A 100-delta call option moves in lockstep with the underlying. So if the stock price rises $1, the theoretical value of the option will rise $1 as well.", "sources": [{"type": "contents", "value": {"type": "computedString", "value": ", delta will range from 0.00 (far out of the money, with an effectively zero likelihood that it will be in the money at expiration) to 1.00, which is also known as \u201c100-delta.\u201d This is deep in the money; the option will almost certainly be exercised at expiration. A 100-delta call option moves in lockstep with the underlying. So if the stock price rises $1, the theoretical value of the option will rise $1 as well."}}]}, "properties": [], "parentId": "254", "childIds": [], "backendDOMNodeId": 370}, {"nodeId": "346", "ignored": false, "role": {"type": "internalRole", "value": "ListMarker"}, "chromeRole": {"type": "internalRole", "value": 116}, "name": {"type": "computedString", "value": "\u2022 ", "sources": [{"type": "contents", "value": {"type": "computedString", "value": "\u2022 "}}]}, "properties": [], "parentId": "255", "childIds": ["411"], "backendDOMNodeId": 372}, {"nodeId": "347", "ignored": false, "role": {"type": "role", "value": "strong"}, "chromeRole": {"type": "internalRole", "value": 160}, "name": {"type": "computedString", "value": "", "sources": [{"type": "relatedElement", "attribute": "aria-labelledby"}, {"type": "attribute", "attribute": "aria-label"}, {"type": "attribute", "attribute": "title"}]}, "properties": [], "parentId": "255", "childIds": ["412"], "backendDOMNodeId": 373, "browsergym_id": "94e503a8-c2c7-4463"}, {"nodeId": "348", "ignored": false, "role": {"type": "internalRole", "value": "StaticText"}, "chromeRole": {"type": "internalRole", "value": 158}, "name": {"type": "computedString", "value": " Because a put option gives the holder the right to sell the underlying asset, put deltas are expressed as negative numbers, ranging from 0.00 (way out of the money) to -1.00 (deep in the money). If a put has a -1.00 delta, its theoretical value will move in tandem with (but inversely to) the underlying. So if the stock price rises $1, the put value should go down by $1.", "sources": [{"type": "contents", "value": {"type": "computedString", "value": " Because a put option gives the holder the right to sell the underlying asset, put deltas are expressed as negative numbers, ranging from 0.00 (way out of the money) to -1.00 (deep in the money). If a put has a -1.00 delta, its theoretical value will move in tandem with (but inversely to) the underlying. So if the stock price rises $1, the put value should go down by $1."}}]}, "properties": [], "parentId": "255", "childIds": [], "backendDOMNodeId": 375}, {"nodeId": "349", "ignored": false, "role": {"type": "internalRole", "value": "ListMarker"}, "chromeRole": {"type": "internalRole", "value": 116}, "name": {"type": "computedString", "value": "\u2022 ", "sources": [{"type": "contents", "value": {"type": "computedString", "value": "\u2022 "}}]}, "properties": [], "parentId": "256", "childIds": ["413"], "backendDOMNodeId": 377}, {"nodeId": "350", "ignored": false, "role": {"type": "role", "value": "strong"}, "chromeRole": {"type": "internalRole", "value": 160}, "name": {"type": "computedString", "value": "", "sources": [{"type": "relatedElement", "attribute": "aria-labelledby"}, {"type": "attribute", "attribute": "aria-label"}, {"type": "attribute", "attribute": "title"}]}, "properties": [], "parentId": "256", "childIds": ["414"], "backendDOMNodeId": 378, "browsergym_id": "409923e0-840b-43e8"}, {"nodeId": "351", "ignored": false, "role": {"type": "internalRole", "value": "StaticText"}, "chromeRole": {"type": "internalRole", "value": 158}, "name": {"type": "computedString", "value": " An ", "sources": [{"type": "contents", "value": {"type": "computedString", "value": " An "}}]}, "properties": [], "parentId": "256", "childIds": [], "backendDOMNodeId": 380}, {"nodeId": "352", "ignored": false, "role": {"type": "role", "value": "generic"}, "chromeRole": {"type": "internalRole", "value": 88}, "name": {"type": "computedString", "value": "", "sources": [{"type": "relatedElement", "attribute": "aria-labelledby"}, {"type": "attribute", "attribute": "aria-label"}, {"type": "attribute", "attribute": "title"}]}, "properties": [], "parentId": "256", "childIds": ["415"], "backendDOMNodeId": 381, "browsergym_id": "27c4f61b-f13b-4f69"}, {"nodeId": "353", "ignored": false, "role": {"type": "internalRole", "value": "StaticText"}, "chromeRole": {"type": "internalRole", "value": 158}, "name": {"type": "computedString", "value": " will have a delta of about 0.50, aka \u201c50-delta\u201d (-0.50 for an at-the-money put). So if XYZ were trading at $25 per share, the 25-strike call would have a 0.50 delta and the put delta would be 0.50. If the stock rises to $26, the 25-strike call would rise $0.50 and the put would go down by $0.50.", "sources": [{"type": "contents", "value": {"type": "computedString", "value": " will have a delta of about 0.50, aka \u201c50-delta\u201d (-0.50 for an at-the-money put). So if XYZ were trading at $25 per share, the 25-strike call would have a 0.50 delta and the put delta would be 0.50. If the stock rises to $26, the 25-strike call would rise $0.50 and the put would go down by $0.50."}}]}, "properties": [], "parentId": "256", "childIds": [], "backendDOMNodeId": 383}, {"nodeId": "354", "ignored": false, "role": {"type": "internalRole", "value": "ListMarker"}, "chromeRole": {"type": "internalRole", "value": 116}, "name": {"type": "computedString", "value": "\u2022 ", "sources": [{"type": "contents", "value": {"type": "computedString", "value": "\u2022 "}}]}, "properties": [], "parentId": "257", "childIds": ["416"], "backendDOMNodeId": 385}, {"nodeId": "355", "ignored": false, "role": {"type": "role", "value": "strong"}, "chromeRole": {"type": "internalRole", "value": 160}, "name": {"type": "computedString", "value": "", "sources": [{"type": "relatedElement", "attribute": "aria-labelledby"}, {"type": "attribute", "attribute": "aria-label"}, {"type": "attribute", "attribute": "title"}]}, "properties": [], "parentId": "257", "childIds": ["417"], "backendDOMNodeId": 386, "browsergym_id": "7f04bb5d-89e5-459b"}, {"nodeId": "356", "ignored": false, "role": {"type": "internalRole", "value": "StaticText"}, "chromeRole": {"type": "internalRole", "value": 158}, "name": {"type": "computedString", "value": " Delta can also be used as a probability that an option will be in the money at expiration. (This will be important later.)", "sources": [{"type": "contents", "value": {"type": "computedString", "value": " Delta can also be used as a probability that an option will be in the money at expiration. (This will be important later.)"}}]}, "properties": [], "parentId": "257", "childIds": [], "backendDOMNodeId": 388}, {"nodeId": "357", "ignored": false, "role": {"type": "internalRole", "value": "ListMarker"}, "chromeRole": {"type": "internalRole", "value": 116}, "name": {"type": "computedString", "value": "\u2022 ", "sources": [{"type": "contents", "value": {"type": "computedString", "value": "\u2022 "}}]}, "properties": [], "parentId": "258", "childIds": ["418"], "backendDOMNodeId": 390}, {"nodeId": "358", "ignored": false, "role": {"type": "role", "value": "strong"}, "chromeRole": {"type": "internalRole", "value": 160}, "name": {"type": "computedString", "value": "", "sources": [{"type": "relatedElement", "attribute": "aria-labelledby"}, {"type": "attribute", "attribute": "aria-label"}, {"type": "attribute", "attribute": "title"}]}, "properties": [], "parentId": "258", "childIds": ["419"], "backendDOMNodeId": 391, "browsergym_id": "62c4bf1f-3387-46a8"}, {"nodeId": "359", "ignored": false, "role": {"type": "internalRole", "value": "StaticText"}, "chromeRole": {"type": "internalRole", "value": 158}, "name": {"type": "computedString", "value": " Delta (and all the ", "sources": [{"type": "contents", "value": {"type": "computedString", "value": " Delta (and all the "}}]}, "properties": [], "parentId": "258", "childIds": [], "backendDOMNodeId": 393}, {"nodeId": "360", "ignored": false, "role": {"type": "role", "value": "link"}, "chromeRole": {"type": "internalRole", "value": 110}, "name": {"type": "computedString", "value": "greeks", "sources": [{"type": "relatedElement", "attribute": "aria-labelledby"}, {"type": "attribute", "attribute": "aria-label"}, {"type": "contents", "value": {"type": "computedString", "value": "greeks"}}, {"type": "attribute", "attribute": "title", "superseded": true}]}, "properties": [{"name": "focusable", "value": {"type": "booleanOrUndefined", "value": true}}], "parentId": "258", "childIds": ["420"], "backendDOMNodeId": 394, "browsergym_id": "75a7dd4e-0b05-402d"}, {"nodeId": "361", "ignored": false, "role": {"type": "internalRole", "value": "StaticText"}, "chromeRole": {"type": "internalRole", "value": 158}, "name": {"type": "computedString", "value": ") are guides, not guarantees. If the underlying moves up or down $1, each option may or may not move exactly as predicted by delta. As you learn more about option risks, you\u2019ll see why (hint: there are a lot of moving parts).", "sources": [{"type": "contents", "value": {"type": "computedString", "value": ") are guides, not guarantees. If the underlying moves up or down $1, each option may or may not move exactly as predicted by delta. 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TIME.", "sources": [{"type": "contents", "value": {"type": "computedString", "value": "Figure 2: DELTA VS. TIME."}}]}, "properties": [], "parentId": "282", "childIds": [], "backendDOMNodeId": 462}, {"nodeId": "371", "ignored": false, "role": {"type": "internalRole", "value": "StaticText"}, "chromeRole": {"type": "internalRole", "value": 158}, "name": {"type": "computedString", "value": "sell an option and collect the premium up front", "sources": [{"type": "contents", "value": {"type": "computedString", "value": "sell an option and collect the premium up front"}}]}, "properties": [], "parentId": "288", "childIds": [], "backendDOMNodeId": 476}, {"nodeId": "372", "ignored": false, "role": {"type": "internalRole", "value": "ListMarker"}, "chromeRole": {"type": "internalRole", "value": 116}, "name": {"type": "computedString", "value": "\u2022 ", "sources": [{"type": "contents", "value": {"type": "computedString", "value": "\u2022 "}}]}, "properties": [], "parentId": "293", "childIds": ["423"], "backendDOMNodeId": 490}, {"nodeId": "373", "ignored": false, "role": {"type": "role", "value": "strong"}, "chromeRole": {"type": "internalRole", "value": 160}, "name": {"type": "computedString", "value": "", "sources": [{"type": "relatedElement", "attribute": "aria-labelledby"}, {"type": "attribute", "attribute": "aria-label"}, {"type": "attribute", "attribute": "title"}]}, "properties": [], "parentId": "293", "childIds": ["424"], "backendDOMNodeId": 491, "browsergym_id": "67afcacd-893d-4941"}, {"nodeId": "374", "ignored": false, "role": {"type": "internalRole", "value": "StaticText"}, "chromeRole": {"type": "internalRole", "value": 158}, "name": {"type": "computedString", "value": " The likelihood of being in the money increases, making it less likely that you\u2019ll pocket that premium. 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