No-Arbitrage Pricing: Analytical and Numerical Methods demonstrates the importance of an analytical viewpoint for the theoretical analysis of pricing and hedging of options and other contingent claims. The authors illustrate that the majority of processes used in finance and mathematical finance are sufficiently regular; therefore, many efficient analytical tools are applicable. They also provide guidance for the development of efficient numerical methods and show how to apply these tools to several situations that are important in financial engineering and mathematical finance. Topics covered include the Black-Scholes equation and the eigenfunction expansion method.