- Docente: Enrico Bernardi
- Credits: 12
- SSD: SECS-S/06
- Language: English
- Moduli: Enrico Bernardi (Modulo 1) Silvia Romagnoli (Modulo 2)
- Teaching Mode: Traditional lectures (Modulo 1) Traditional lectures (Modulo 2)
- Campus: Bologna
- Corso: First cycle degree programme (L) in Business and Economics (cod. 8407)
Learning outcomes
Continuing with the concrete approach started in the crash course students will be able to eventually master a number of discrete mathematics techniques and get a feeling for functions in a calculus oriented setting. In the second half of the course an introduction to linear algebra and financial mathematics will follow.
Course contents
Sequences Series Functions Derivatives Graphs Linear Algebra
Determinants Vectors Matrix Theory Linear Systems Simple and
Compound interest and discount
Annuities certain
Sinking funds and amortization
Constitution of a capital
Valuation of bonds in a no-arbitrage setting
Term structure of interest rates
Valuation of index-linked bonds: floater, reverse floater and
swap
Readings/Bibliography
- -C.H.Richardson and I.L.Miller, Financial mathematics, Van Nostrand Company NY
- -M.Capinski and T.Zastawniak, Mathematics for Finance, Springer
- Calculus http://www.amazon.com/Calculus-James-Stewart/dp/0538497815/ref=sr_1_1?s=books&ie=UTF8&qid=1370879129&sr=1-1&keywords=stewart+calculus
- Concrete Mathematics: http://www.amazon.com/Concrete-Mathematics-Foundation-Computer-Science/dp/0201558025/ref=sr_1_1?s=books&ie=UTF8&qid=1370879031&sr=1-1&keywords=discrete+mathematics+knuth
- Linear Algebra Done Right: http://www.amazon.com/Linear-Algebra-Right-Undergraduate-Mathematics/dp/0387982582/ref=sr_1_1?s=books&ie=UTF8&qid=1370880003&sr=1-1&keywords=linear+algebra+done+right
Teaching methods
Traditional frontal classes and/or intermediate mock exams.
Assessment methods
A number of written exams are scheduled.
Teaching tools
Regular blackboard classes
Office hours
See the website of Enrico Bernardi
See the website of Silvia Romagnoli