{"id":175913,"date":"2021-03-15T18:02:00","date_gmt":"2021-03-15T22:02:00","guid":{"rendered":"https:\/\/ibkrcampus.com\/trading-lessons\/understanding-put-call-parity\/"},"modified":"2023-12-28T14:30:02","modified_gmt":"2023-12-28T19:30:02","slug":"understanding-put-call-parity-2","status":"publish","type":"trading-lessons","link":"https:\/\/www.interactivebrokers.com\/campus\/trading-lessons\/understanding-put-call-parity-2\/","title":{"rendered":"Understanding Put-Call Parity"},"content":{"rendered":"<p>As you go through the examples that follow, you may notice that certain strategies use different mixes of products yet have similar risk\/reward structures.<\/p>\n<p>This is because the prices of puts and calls are inextricably linked to each other and the price of the underlying stock through an equation known as \u201c<strong>Put\/Call Parity<\/strong>\u201d.<\/p>\n<p>The equation states:<\/p>\n<p><strong>Call Price + Strike Price = Forward value of Stock Price + Put Price<\/strong><\/p>\n<p>It is important to use the forward value of the stock, which is adjusted for interest rates and dividends, rather than strictly the current price of the stock. We can calculate the forward value this way:<\/p>\n<p><strong>Forward value = (Current value) x (1 + interest rate * days until expiration\/365) \u2013 dividends<\/strong><\/p>\n<p>In a low rate environment, the forward value of a stock that pays no dividends is roughly equal to the current value. If interest rates are high, or a stock is hard to borrow, or the stock pays a dividend during the life of the option, the forward value may differ meaningfully from the current stock price.<\/p>\n<p>When we examine the Put\/Call Parity formula, simple algebra allows us to demonstrate how different structures have similar payoffs. For example:<\/p>\n<p><strong>Call Price = (Forward Value \u2013 Strike Price) + Put Price<\/strong><\/p>\n<p>This shows that the value of a call is the same as being short the stock and long a put. You will notice that those payoff graphs look quite similar. As you go through the study guide, keep this equation in mind when you see other similar looking graphs.<\/p>\n<p>If we structure the equation this way, we see that a long call and short put with the same strike and expiration creates a synthetic future:<\/p>\n<p><strong>Forward value = Strike Price + Call Price \u2013 Put Price<\/strong><\/p>\n<p>As we saw above, the difference between the forward value and the current value of a stock is a function of interest rates and dividends. Because options prices are based on the forward value of the underlying product, it is crucial that options investors consider the effect of dividends and interest rates when implementing their strategies.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Understand how prices of puts and calls are inextricably linked to each other and the price of the underlying stock through an equation known as \u201cPut\/Call Parity\u201d. Learn the importance of how dividends and interest rates affect underlying stocks when implementing options strategies.<\/p>\n","protected":false},"author":899,"featured_media":175914,"parent":0,"comment_status":"open","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"contributors-categories":[13576],"traders-academy":[13126,13128,13132],"class_list":{"0":"post-175913","1":"trading-lessons","2":"type-trading-lessons","3":"status-publish","4":"has-post-thumbnail","6":"contributors-categories-interactive-brokers","7":"traders-academy-intermediate-trading","8":"traders-academy-level","9":"traders-academy-trading-lesson"},"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 v27.3) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>Archives | Traders&#039; Academy | IBKR Campus<\/title>\n<meta name=\"description\" content=\"Understand how prices of puts and calls are inextricably linked to each other and the price of the underlying stock through an equation known as...\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.interactivebrokers.com\/campus\/wp-json\/wp\/v2\/trading-lessons\/175913\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Understanding Put-Call Parity\" \/>\n<meta property=\"og:description\" content=\"Understand how prices of puts and calls are inextricably linked to each other and the price of the underlying stock through an equation known as \u201cPut\/Call Parity\u201d. 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