Dear Katherine,

I'm an option trader not a risk manager and it is my own opinion only:
you need simulate both: dynamics of underlying and volatility. I would use physical volatility to pricing an option, and apply the GARCH models to do it. But only for simplifying.

If you want to do it "difficult and correct" you need to model mutual dynamics: underlying, ATM volatility, and skew of volatility - it is "a little bit" more difficult task. Ask Google about "value at risk for derivatives"


Best regards,
Oleg Mubarakshin


-----Исходное сообщение----- From: Katherine Gobin
Sent: Thursday, May 08, 2014 3:56 PM
To: [email protected]
Subject: [R-SIG-Finance] Implied Volatility

Dear Forum,

I am not sure if I can raise this query here. I am trying to use Monte Carlo simulation for Call option VaR and for this I have simulated 1000 values each of the risk factors. I am using the Black Scholes for finding the premium. One of the input required to use Black Scholes is volatility besides Strike price, spot price, time to maturity and risk free rate.

My question is am I supposed to use Implied volatility or historical volatility? I tried to find out the answer through some sources but yet to get some concrete answer. I am using RQuantLib for calculating the Implied Volatility and its an European option.

If possible kindly guide.


Regards

Katherine Gobin
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