An Introduction to the Mathematics of Finance

Prof. Stephen Garrett is Professor of Mathematical Sciences at the University of Leicester in the UK. He is currently Head of Actuarial Science in the Department of Mathematics, and also Head of the Thermofluids Research Group in the Department of Engineering. These two distinct responsibilities reflect his background and achievements in both actuarial science education and fluid mechanics research. Stephen is a Fellow of the Royal Aeronautical Society, the highest grade attainable in the world's foremost aerospace institution.

1. Introduction2. Theory of Interest Rates3. The Basic Compound Interest Functions4. Further Compound Interest Functions5. Loan Repayment Schedules6. Project Appraisal and Investment Performance7. The Valuation of Securities8. Capital Gains Tax9. Term Structures and Immunization10. An Introduction to Derivative Pricing: Forwards and Futures11. Further Derivatives: Swaps and Options12. An Introduction to Stochastic Interest Rate Models