This paper compares the performance of three methods for pricing vanilla options in models with known characteristic function: (1) Direct integration, (2) Fast Fourier Transform (FFT), (3) Fractional FFT. The most important application of this comparison is the choice of the fastest method for...

This paper compares the performance of three methods for pricing vanilla options in models with known characteristic function: (1) Direct integration, (2) Fast Fourier Transform (FFT), (3) Fractional FFT. The most important application of this comparison is the choice of the fastest method for...

We derive a semi-analytical formula for pricing forward-start options in the Barndorff-Nielsen- Shephard model. In terms of computational time, this formula is equivalent to one-dimensional integration.

The article investigates how sensitive different dynamic and static hedge strategies for barrier options are to model risk. It is found that using plain‐vanilla options to hedge offers considerable improvements over usual Δ hedges. Further, it is shown that the hedge portfolios involving...

In this paper an investigation of the pricing of callable annuities with interest-only (I-O) optionality is conducted. First the I-O optionality feature of callable annuities is introduced. Next an algorithm for pricing callable annuities with I-O optionality using the finite difference...

A new method for static hedging of barrier options under general asset dynamics is introduced. The method unifies previous approaches and nests their extensions. Using a finite set of hedge instruments the method is directly implementable and it is shown how to operationalize the hedge in a...

We investigate how sensitive a variety of dynamic and static hedge strategies for barrier options are to model risk. We find that using plain vanilla options to hedge barrier options offers considerable improvements over usual ?-hedges. Further, we show that the hedge portfolios involving...

We conduct an empirical evaluation of a static super-replicating hedge of barrier options. The hedge is robust to uncertainty about the future skew. Using almost seven years of current data on the DAX, we evaluate the performance of the hedge and compare it with those of both a dynamic and a...