implied volatality

babu

New Member
Hi David,

what is implied volatality? how it is calculated? what is the interpretation we can get from implied volatality?
 

David Harper CFA FRM

David Harper CFA FRM
Subscriber
babu,

You might find the learning XLS helpful (4.b.8 implied vol) @
http://www.bionicturtle.com/premium/spreadsheet/4.b.8_implied_volatility/

Normally we think of solving for the call option given the inputs (risk factors), where volatility is a key input:
call option = BlackScholes[stock, strick, volatility,...]

implied vol is "reverse engineering" where (i) we have a traded market price and (ii) a OPM model, such that we find the volatility that returns a model price equal to the observed market price.

So in the XLS (screenshot below), you have to *iterate* or *goal-seek* to find it, but let's assume you *observe* the call option trades at $2.00 (see Call (c) = $2.0 in second column), then you goal seek or find the volatility that returns the $2 option price. In this case, 46% works. So, we say:

"the market price of $2 implies a volatility of 46%"

our concern is the volatility smile (or smirk, as my colleagues used to say!) that is assigned Chapter 18 Hull...this movie tutorial is next to be published!

Thanks, David

http://learn.bionicturtle.com/images/forum/4b8_implied_vol.png
 
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