First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Economics and Political Science
LAW AND ECONOMICS
Course unit
FINANCIAL MATHEMATICS
EPP6077437, A.A. 2019/20

Information concerning the students who enrolled in A.Y. 2019/20

Information on the course unit
Degree course Second cycle degree in
LAW AND ECONOMICS
EC0222, Degree course structure A.Y. 2017/18, A.Y. 2019/20
N0
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Number of ECTS credits allocated 6.0
Type of assessment Mark
Course unit English denomination FINANCIAL MATHEMATICS
Department of reference Department of Economics and Management
E-Learning website https://elearning.unipd.it/economia/course/view.php?idnumber=2019-EC0222-000ZZ-2019-EPP6077437-N0
Mandatory attendance No
Language of instruction Italian
Branch PADOVA
Single Course unit The Course unit CANNOT be attended under the option Single Course unit attendance
Optional Course unit The Course unit can be chosen as Optional Course unit

Lecturers
Teacher in charge ELENA SARTORI SECS-S/06

ECTS: details
Type Scientific-Disciplinary Sector Credits allocated
Core courses SECS-S/06 Mathematics for Economics, Actuarial Studies and Finance 6.0

Course unit organization
Period Second semester
Year 1st Year
Teaching method frontal

Type of hours Credits Teaching
hours
Hours of
Individual study
Shifts
Lecture 6.0 42 108.0 No turn

Calendar
Start of activities 02/03/2020
End of activities 12/06/2020
Show course schedule 2019/20 Reg.2017 course timetable

Examination board
Board From To Members of the board
3 Commissione A.A. 2019/20 01/10/2019 30/11/2020 SARTORI ELENA (Presidente)
BURATTO ALESSANDRA (Membro Effettivo)
GROSSET LUCA (Membro Effettivo)

Syllabus
Prerequisites: General Mathematics, Probability, Statistics
Target skills and knowledge: Ability to use the main formulas of Financial Mathematics to evaluate loans, investments, derivatives and equity portfolios.
Examination methods: Written exam, consisting of open-ended exercises on the course contents.
Assessment criteria: Ability to completely and accurately solve standard exercises related to:
1) financial laws,
2) annuities,
3) mortgages, loans and amortization schemes,
4) bonds,
5) evaluation criteria for an investment,
6) simple derivatives on interest rates,
7) portfolio optimization.

In the solution of the exercises the use of the calculator and a sheet previously prepared by the student, in which the formulas useful for the resolution of the exercises are present, will be allowed. You will be asked to justify your answers and to report the used formulas.
Course unit contents: Fundamental definitions: interest and amount, discount and present value. Financial laws: simple and compound capitalization regimes. Annuities and problems related to annuities.
Mortgages, loans and amortization schemes. Bonds.
Evaluation of an investment: the discounted cash flow and the internal rate of return, usage criteria and problems.
Spot rates, forward rates, valuation of simple derivative contracts on interest rates.
Portfolio optimization.
Planned learning activities and teaching methods: Frontal lectures in which both the theoretical aspects and the applications of the mathematical formulas described will be presented.
Within the lessons, exercises similar to those required during the exam will be held.
Additional notes about suggested reading: During the course the notes on the topics covered during the lessons and all the additional materials used will be uploaded on Moodle.
Textbooks (and optional supplementary readings)
  • Cacciafesta, Fabrizio, Matematica finanziaria (classica e moderna). Torino: Giappichelli, 2006. Cerca nel catalogo
  • Hull, John C., Options, futures and other derivatives. Boston: Pearson, 2011. Cerca nel catalogo

Innovative teaching methods: Teaching and learning strategies
  • Lecturing
  • Problem based learning
  • Questioning
  • Problem solving
  • Loading of files and pages (web pages, Moodle, ...)

Innovative teaching methods: Software or applications used
  • Moodle (files, quizzes, workshops, ...)
  • One Note (digital ink)

Sustainable Development Goals (SDGs)
Quality Education Reduced Inequalities