Explore Fourier-based methods for managing complex insurance products in this lecture by Laura Ballotta, Reader in Financial Mathematics at Cass Business School. Delve into the intricacies of Variable Annuity Contracts, focusing on the Ratchet design and its valuation. Learn about surrender models, mortality risk models, and fair market value calculations. Discover the application of Fourier transform techniques in derivatives valuation, specifically for Guaranteed Minimum Accumulation Benefits (GMAB) and Surrender Benefits. Examine integration methods in high dimensions and analyze numerical experiments, including parameter settings and importance sampling distributions. Gain insights into sensitivity analysis and explore a general framework for market modeling in the context of complex insurance products.