With clearly explained theory and step-by-step instructions for building and
using the equations, this comprehensive toolkit allows quantitative professionals, at all
levels, to put derivative pricing and risk controlling models into practice.
Compiled by a leading professor of mathematical finance, Marcello Minenna, this
extensive manual will enable you to:
- understand the models adopted by the financial markets;
- evaluate the practical application of these models;
- implement the models presented;
- develop the skills required to independently tailor new models to your own specific
needs.
As well as an exhaustive reference guide for advanced practitioners and academics, this
accessible manual is also designed for beginners and intermediate users to quickly grasp
the complexities of quantitative finance.
This self-contained and methodical guide is all you will need to fully grasp the
mathematics underlying the pricing of derivatives. And most importantly, will empower you
to put your quantitative skills into practice.
Marcello Minenna is a senior enforcement officer at CONSOB (the
Italian Securities and Exchange Commission) where he is in charge of analysing and
developing quantitative models for surveillance. Marcello has been teaching in the field
of financial mathematics in several Italian and foreign universities. He received his
Phd in applied mathematics for social sciences from the State University of Brescia, his
MA in mathematics in finance from Columbia University and his degree in economics from
Bocconi University. His research interests include quantitative models for surveillance
and more general areas of finance.
CONTENTS
I CALCULUS
1 Set Theory
2 Linear Algebra
3 Sequences and Series
4 Differential Calculus
5 Integral Calculus
6 Remarkable Functions
7 Complex Numbers
8 Differential Equations
9 Transforms
II PROBABILITY
10 Measure Theory
11 Probability Theory
12 Stochastic Calculus
13 Stochastic Differential Equations
III FINANCE
14 Actuarial Calculus
15 Equity Derivatives Models
- Asymptomatic analysis and Portfolio replication
- Martingale and forward measures
- Stochastic and Partial Differential Equation
- Fourier Transform
16 Term-Structure models
- Short rate diffusive processes
- Arbitrage-free conditions
- Stochastic and Partial Differential Equation
- Zero Coupon Bond Price under different measures
523pp, hardback