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FX Volatility Smile Construction

Posted: January 5th, 2010, 9:50 pm
by danielyng
Did anyone read the above captioned paper by Reiswich and Wystup?I like it. However, I could not reproduce the numerical result. Base on the data from table 4 in the paper, the USDJPY forward price is 90.686. Since USDJPY is premium adjusted, Atm strike is 90.516 using the formula f exp(-0.5 sigma^2 tau). However, the atm strike for USDJPY is 90.86 in table 5. Do I miss anything?

FX Volatility Smile Construction

Posted: January 8th, 2010, 6:49 pm
by Leonidas
The ATM quotation is not considered as premium adjusted in this case but as the simple delta neutral forwarddelta quotation. So with f exp(+0.5 sigma^2 tau) you should be fine