With a simple approach accessible to a wide audience, this book aims for the heart of mathematical finance: the fundamental formula of arbitrage pricing theory. This method of pricing discounts everything and takes expected values under the equivalent martingale measure. The authors approach is simple and excludes unnecessary proofs of measure-theoretic probability, instead, it favors techniques and examples of proven interest to financial practitioners.

Inhalt

1. Derivative Background.- 2. Probability Background.- 3. Stochastic Processes in Discrete Time.- 4. Mathematical Finance in Discrete Time.- 5. Stochastic Processes in Continuous Time.- 6. Mathematical Finance in Continuous Time.- 7. Incomplete Markets.- 8. Interest Rate Theory.- A. Hilbert Space.- B. Projections and Conditional Expectations.- C. The Separating Hyperplane Theorem.