Before revision:  Thus with a single formula we are able to capture prices for derivatives depending on either an asset or its volatility , but also joint payoffs are allowed , like the target volatility option (TVO) , which shall be discussed. Numerical computations validating our techniques are provided.
After revision:  Thus with a single formula we are able to capture prices for derivatives depending on either an asset or its volatility , but also joint payoffs are allowed , like the target volatility option (TVO) . We solve the pricing problem through a Fourier-inversion method; numerical computations validating our techniques are provided.