- Docente: Silvia Romagnoli
- Credits: 8
- SSD: SECS-S/06
- Language: Italian
- Moduli: Silvia Romagnoli (Modulo 1) Daniele Ritelli (Modulo 2)
- Teaching Mode: Traditional lectures (Modulo 1) Traditional lectures (Modulo 2)
- Campus: Bologna
- Corso: Second cycle degree programme (LM) in Financial Markets and Institutions (cod. 0901)
Course contents
Modulus 1: MatLab
1. Financial Toolbox: work with matrices, from string to a serial number, plot financial data, present value and annuities, fixed income bond: pricing, yields and sensitivities, Derivatives: Black-Scholes and Binomial model, Portfolio analysis: efficient frontier, optimal portfolio performance.
2. MatLab for Financial Applications: work with real data, MatLab variables and graphical representation, M-files: script versus function, Statistics and data analysis, Programming: functions' structure, vectorization and evaluation of the performance.
3. Programming on special topics: Classic financial math, Bond market and term strictures, Asset management, Derivatives: pricing on stock and fixed income markets.
Modulus 2: Mathematica
1. Basic Operations on Numbers, Expressions, and Functions: Numerical Calculations and Built-in Functions, Expressions and Functions: Elementary Algebra, Graphing Functions, Expressions, and Equations, Solving Equations
2. Calculus using Mathematica: Limits and continuity, Differential calculus, Integral calculus, Series, Multivariable calculus
3. Lists and Tables: Lists and List Operations, Manipulating Lists, Approximating Lists by Functions
4. Matrices and Vectors: Nested Lists, Linear systems of equations, Important topics from Linear Algebra, Maxima and Minima using Linear Programming
5. Ordinary Partial Differential Equations and Calculus of Variations: First Order Differential Equations (Separable Equations, Linear Equations, Nonlinear Equations), Second Order Linear Equations, Higher Order Linear Equations, Systems of Equations, Some Partial Differential Equations, The Variational Methods Package
Readings/Bibliography
- MatLab for Financial Applications, The MathWorks Training Services, 2006
- Financial Toolbox for use with MatLab, User's Guide-version 3, The MathWorks 2006
- P. Antognini G.C, Barozzi, Matematica & Mathematica Zanichelli 1995
- D. Malchiodi, FARE MATEMATICA con Mathematica Pearson 2007
- D. McMahon D.M. Topa, A Beginner’s Guide To Mathematica Chapman & Hall 2006
- M. Abel J. Braselton, Mathematica by Example 4th ed. Elsevier (5th edition due up June 2017)
- M. Abel J. Braselton, Differential Equations with Mathematica Academic Press 1993
- R.E. Maeder, Computer Science with Mathematica Cambridge University Press 2000
- S. Stojanovic, Computational Financial Mathematics using MATHEMATICA Optimal Trading in Stocks and Options Springer 2003
- W.T. Shaw, Modelling Financial derivatives with Mathematica Cambridge University Press 1998
Office hours
See the website of Silvia Romagnoli
See the website of Daniele Ritelli