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...

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 investigate the robustness of existing methods to calibrate the Cheyette interest rate model to at-the-money swaption, caps and floors. Existing algorithms may fail, because they suffer from numerical instability of derivatives. Therefore, we apply derivative-free techniques and find that...

We investigate the robustness of existing methods to calibrate the Cheyette interest rate model to at-the-money swaption, caps and floors. Existing algorithms may fail, because they suffer from numerical instability of derivatives. Therefore, we apply derivative-free techniques and find that...