{"id":164264,"date":"2022-11-01T10:20:00","date_gmt":"2022-11-01T14:20:00","guid":{"rendered":"https:\/\/ibkrcampus.com\/?p=164264"},"modified":"2023-02-09T15:45:20","modified_gmt":"2023-02-09T20:45:20","slug":"how-can-long-volatility-go-down-when-the-vix-index-goes-up","status":"publish","type":"post","link":"https:\/\/www.interactivebrokers.com\/campus\/traders-insight\/securities\/options\/how-can-long-volatility-go-down-when-the-vix-index-goes-up\/","title":{"rendered":"How Can Long Volatility Go Down When the VIX Index Goes Up?"},"content":{"rendered":"\n<p><strong>Guest Authors: Michael Cameron, Martin Vestergaard and Manjeet Mudan of Carmika Partners<\/strong><\/p>\n\n\n\n<p>Many investors were disappointed by the performance of long volatility strategies during the 2022 market sell off, despite increased realized volatility and an increased Cboe Volatility Index\u00ae (VIX\u00ae Index) \u2014 a benchmark that measures the market expectation of future realized volatility. Hedgers and tail risk funds were similarly dissatisfied. Although the VIX Index measured higher, the S&amp;P 500\u00ae Index (SPX) option implied volatility decreased in the latest selloff, resulting in the underperformance of these strategies. However, Carmika Partners\u2019 proprietary volatility model predicted that with SPX skew at all-time highs, a combination of long skew or long volatility was unlikely to work in a market downturn. How could investors have leveraged this model to inform their strategy?<\/p>\n\n\n\n<p>To understand how option implied volatility can decrease as the VIX Index rises, it\u2019s necessary to first understand what the VIX Index represents and its relation to actual option implied volatilities.<\/p>\n\n\n\n<p>The VIX Index is a variance calculation, which means it is a weighted average of out-of-the-money options prices. To a first order approximation, the VIX Index can be thought of as proxy for at-the-money volatility (ATMV) of a constant 30 days to expiry term for S&amp;P 500 Index options. Typically, the VIX Index is around 1.1-1.2 times ATMV. The reason for the spread between the VIX Index and ATMV is the skew of the volatility curve. For example, a 95% out-of-the-money put has a higher value than a 105% out-of-the-money call. The 95% put contributes more to the variance than the 105% call. Additionally, lower strike options are more heavily weighted than higher strike options in the variance calculation by a factor of 1\/Strike<sup>2<\/sup>.<\/p>\n\n\n\n<p>Figure 1 below shows volatility curves with different skews but the same ATMV, while Figure 2 shows the value of the corresponding VIX Index calculation. When skew is zero, the VIX Index is equal to ATMV. However, as the skew increases, so does the spread between the VIX Index and ATMV.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-figure-1-implied-volatility-skews\">Figure 1: Implied Volatility Skews<\/h3>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"982\" height=\"500\" data-src=\"\/campus\/wp-content\/uploads\/sites\/2\/2022\/10\/6d8ff836e64c4914aefdd0dc34905ec8.jpeg\" alt=\"Figure 1: Implied Volatility Skews\" class=\"wp-image-164268 lazyload\" data-srcset=\"https:\/\/ibkrcampus.com\/campus\/wp-content\/uploads\/sites\/2\/2022\/10\/6d8ff836e64c4914aefdd0dc34905ec8.jpeg 982w, https:\/\/ibkrcampus.com\/campus\/wp-content\/uploads\/sites\/2\/2022\/10\/6d8ff836e64c4914aefdd0dc34905ec8-700x356.jpeg 700w, https:\/\/ibkrcampus.com\/campus\/wp-content\/uploads\/sites\/2\/2022\/10\/6d8ff836e64c4914aefdd0dc34905ec8-300x153.jpeg 300w, https:\/\/ibkrcampus.com\/campus\/wp-content\/uploads\/sites\/2\/2022\/10\/6d8ff836e64c4914aefdd0dc34905ec8-768x391.jpeg 768w\" data-sizes=\"(max-width: 982px) 100vw, 982px\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 982px; aspect-ratio: 982\/500;\" \/><\/figure>\n\n\n\n<p><em>Source: Carmika Partners<\/em><\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-figure-2-vix-skew\">Figure 2: VIX (Skew)<\/h3>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"1000\" height=\"499\" data-src=\"\/campus\/wp-content\/uploads\/sites\/2\/2022\/10\/01ce3b01e1d04b358f847d607bc85ede.jpeg\" alt=\"Figure 2: VIX (Skew)\" class=\"wp-image-164267 lazyload\" data-srcset=\"https:\/\/ibkrcampus.com\/campus\/wp-content\/uploads\/sites\/2\/2022\/10\/01ce3b01e1d04b358f847d607bc85ede.jpeg 1000w, https:\/\/ibkrcampus.com\/campus\/wp-content\/uploads\/sites\/2\/2022\/10\/01ce3b01e1d04b358f847d607bc85ede-700x349.jpeg 700w, https:\/\/ibkrcampus.com\/campus\/wp-content\/uploads\/sites\/2\/2022\/10\/01ce3b01e1d04b358f847d607bc85ede-300x150.jpeg 300w, https:\/\/ibkrcampus.com\/campus\/wp-content\/uploads\/sites\/2\/2022\/10\/01ce3b01e1d04b358f847d607bc85ede-768x383.jpeg 768w\" data-sizes=\"(max-width: 1000px) 100vw, 1000px\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 1000px; aspect-ratio: 1000\/499;\" \/><\/figure>\n\n\n\n<p><em>Source: Carmika Partners<\/em><\/p>\n\n\n\n<p>In addition to the level of ATMV, the level to skew also impacts the VIX Index. For example, in the case where ATMV is 25% and S is1.5, the level of the VIX Index is 27.9%.<\/p>\n\n\n\n<p>The table below outlines a typical set of option implied volatilities for a series of strikes. If we make the assumption that option implied volatilities are unchanged as the market moves, then if the market fell to 3825, the ATMV would be 29.41 \u2014 the implied volatility of the 3825 strike \u2014 increasing from 25% to 29.41%. Given that the VIX Index is a proxy for ATMV, it may be expected it to increase by a similar amount, even though actual strike volatility is unchanged.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-table-1-option-implied-volatilities-at-different-strikes\">Table 1: Option Implied Volatilities at Different Strikes<\/h3>\n\n\n\n<figure class=\"wp-block-image size-full is-resized img-twothird\"><img decoding=\"async\" data-src=\"\/campus\/wp-content\/uploads\/sites\/2\/2022\/10\/5421d97e96264c1db40549c0b202537b.jpeg\" alt=\"Table 1: Option Implied Volatilities at Different Strikes\" class=\"wp-image-164266 lazyload\" width=\"450\" height=\"450\" data-srcset=\"https:\/\/ibkrcampus.com\/campus\/wp-content\/uploads\/sites\/2\/2022\/10\/5421d97e96264c1db40549c0b202537b.jpeg 450w, https:\/\/ibkrcampus.com\/campus\/wp-content\/uploads\/sites\/2\/2022\/10\/5421d97e96264c1db40549c0b202537b-300x300.jpeg 300w\" data-sizes=\"(max-width: 450px) 100vw, 450px\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 450px; aspect-ratio: 450\/450;\" \/><\/figure>\n\n\n\n<p><em>Source: Carmika Partners<\/em><\/p>\n\n\n\n<p>There has been a large supply of volatility, or&nbsp;<em>Vega,<\/em>&nbsp;coming to market throughout this year\u2019s selloff. As a result, the actual strike volatility has gone down. Under these conditions, the strike volatility of the 3825 strike may decrease to 29%. In the hypothetical case used above, if the VIX Index spread to ATMV remains constant, the VIX Index would increase to 31.9%. Additionally, the skew has declined from all-time highs to multi-year lows suppressing the spread between the VIX Index and ATMV. For an investor holding a long volatility, delta-hedged position in the 3825 strike, it is likely the position would actually lose value in the selloff, despite the VIX Index increasing. Figure 3 shows how the interpolated implied volatility of the 3825 strike for a constant 90-day maturity term has declined over the market selloff. This combination of lower volatility and lower skews is one of the main contributors to underperformance from tail risk funds in 2022 so far.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-figure-3-s-p-500-index-90-day-strike-volatility\">Figure 3: S&amp;P 500 Index 90-Day Strike Volatility<\/h3>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"985\" height=\"553\" data-src=\"\/campus\/wp-content\/uploads\/sites\/2\/2022\/10\/3099ab13171b4ce490abe75fc6a6a17a.jpeg\" alt=\"Figure 3: S&amp;P 500 Index 90-Day Strike Volatility\" class=\"wp-image-164265 lazyload\" data-srcset=\"https:\/\/ibkrcampus.com\/campus\/wp-content\/uploads\/sites\/2\/2022\/10\/3099ab13171b4ce490abe75fc6a6a17a.jpeg 985w, https:\/\/ibkrcampus.com\/campus\/wp-content\/uploads\/sites\/2\/2022\/10\/3099ab13171b4ce490abe75fc6a6a17a-700x393.jpeg 700w, https:\/\/ibkrcampus.com\/campus\/wp-content\/uploads\/sites\/2\/2022\/10\/3099ab13171b4ce490abe75fc6a6a17a-300x168.jpeg 300w, https:\/\/ibkrcampus.com\/campus\/wp-content\/uploads\/sites\/2\/2022\/10\/3099ab13171b4ce490abe75fc6a6a17a-768x431.jpeg 768w\" data-sizes=\"(max-width: 985px) 100vw, 985px\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 985px; aspect-ratio: 985\/553;\" \/><\/figure>\n\n\n\n<p><em>Source: Carmika Partners<\/em><\/p>\n\n\n\n<p>Carmika Partners\u2019 proprietary volatility model predicted that with SPX skew at all-time highs, a combination of long skew or long volatility was unlikely to work in a market downturn. This latest market selloff is more evidence that S&amp;P 500 skew provides meaningful insight into investor positioning and behavioral biases.&nbsp;If analyzed correctly, it can help investors mitigate portfolio risks and complement implied volatility as a measure of risk.<\/p>\n\n\n\n<p>Originally Posted October 28, 2022 &#8211; <a href=\"https:\/\/www.cboe.com\/insights\/posts\/how-can-long-volatility-go-down-when-the-vix-index-goes-up\/\">How Can Long Volatility Go Down When the VIX Index Goes Up?<\/a><\/p>\n\n\n\n<p><em>This article is part of Cboe\u2019s Guest Author Series, where firms and individuals share their insights, strategies and ideas with the broader Cboe community. Interested in contributing? Email&nbsp;social@cboe.com&nbsp;or contact your Cboe representative to learn more.<\/em><\/p>\n\n\n\n<p><em>There are important risks associated with transacting in any of the Cboe Company products or any of the digital assets discussed here. Before engaging in any transactions in those products or digital assets, it is important for market participants to carefully review the disclosures and disclaimers contained at:&nbsp;<\/em><a href=\"https:\/\/www.cboe.com\/us_disclaimers\/\" rel=\"noreferrer noopener\" target=\"_blank\"><em>https:\/\/www.cboe.com\/us_disclaimers\/<\/em><\/a><em>. The views expressed herein are those of the author and do not necessarily reflect the views of Cboe Global Markets, Inc. or any of its affiliates.<\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Many investors were disappointed by the performance of long volatility strategies during the 2022 market sell<\/p>\n","protected":false},"author":186,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[6,19,8,9,26,3],"tags":[1926,317,860],"contributors-categories":[13776],"class_list":{"0":"post-164264","1":"post","2":"type-post","3":"status-publish","4":"format-standard","6":"category-north-america","7":"category-options","8":"category-region","9":"category-securities","10":"category-text-articles","11":"category-traders-insight","12":"tag-options","13":"tag-vix","14":"tag-volatility","15":"contributors-categories-cboe-global-markets"},"pp_statuses_selecting_workflow":false,"pp_workflow_action":"current","pp_status_selection":"publish","acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v26.9 (Yoast SEO v27.4) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>How Can Long Volatility Go Down When the VIX Index 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