On the Pricing and Hedging of Volatility Derivatives
We consider the pricing of a range of volatility derivatives, including volatility and variance swaps. Under risk-neutral valuation we provide closed form formulae for volatility-average and variance swaps for a variety of diffusion and jump-diffusion models for volatility. We describe a general partial differential equation framework for derivatives that have an extra dependence on an average of the volatility. We give approximate solutions of this equation for volatility products written on assets for which the volatility process fluctuates on a time-scale that is fast compared with the lifetime of the contracts, analysing both the "outer" region and, by matched asymptotic expansions, the "inner" boundary layer near expiry.
|Date of creation:||2003|
|Date of revision:|
|Contact details of provider:|| Web page: http://www.finance.ox.ac.uk|
More information through EDIRC
When requesting a correction, please mention this item's handle: RePEc:sbs:wpsefe:2003mf06. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Maxine Collett)
If references are entirely missing, you can add them using this form.