Volatility smiles from bid and ask prices for calls and puts with 963 days to expiration. When an option price is less than the theoretical value would be if the underlying had an expected volatility of 0%, Marlow negative implied volatility preserves comparative information. Term structures of implied volatility from bid and ask prices of calls and puts with different strike prices. When an option price is less than the theoretical value would be if the underlying had an expected volatility of 0%, Marlow negative implied volatility preserves comparative information.  
 
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Option Chain Implied Volatility Calculator and Dynamic Display Engine
By Jerry Marlow

To learn more about the calculator and display engine , click here.


Jerry Marlow, MBA
Stock Option Tools,
Tutorials and Seminars
(917) 817-8659

jerrymarlow@jerrymarlow.com

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Stock options -- The Movie