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The sensitivity of the option value to the amount of time to expiry is known as the option's theta. The option value will never be lower than its IV . As seen on the graph, the full call option value ( IV + TV ), at a given time t , is the red line.
A typical option strategy involves the purchase / selling of at least 2-3 different options (with different strikes and / or time to expiry), and the value of such portfolio may change in a very complex way. One very useful way to analyze and understand the behavior of a certain option strategy is by drawing its Profit graph.
In fact, typically, the literal first derivative w.r.t. time of an option's value is a positive number. The change in option value is typically negative because the passage of time is a negative number (a decrease to , time to expiry). However, by convention, practitioners usually prefer to refer to theta exposure ("decay") of a long option as ...
The calls expire on June 21, and lose value at an accelerated pace as that date approaches in a process known as time decay. Gill can also exercise his options and take delivery of the stock ...
where (,) is the price of the option as a function of stock price S and time t, r is the risk-free interest rate, and is the volatility of the stock. The key financial insight behind the equation is that, under the model assumption of a frictionless market , one can perfectly hedge the option by buying and selling the underlying asset in just ...
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