## FINANCIAL MATHEMATICS MATEMATICA FINANZIARIA

#### Financial Mathematics Matematica Finanziaria

A.Y. Credits
2015/2016 6
Lecturer Email Office hours for students
Laura Gardini

### Assigned to the Degree Course

Date Time Classroom / Location

### Learning Objectives

The course aims to provide the basic elements of financial mathematics and classical valuation of bonds (items which have become indispensable in many of the sectors in which a graduate in Economics may operate), and aims to teach to perform the most common financial calculations (valuation of flows, amortization schedules, bonds, spot and forward interest rate structures). To this end, the basic concepts of standard financial mathematics are introduced, with examples and applications related to practices commonly ised in workplaces and in financial markets.

### Program

Course outline:

The basic rules for financial compounding.

Interest rates estimation.

Annuities and financial flows

Redemption plan of indebtedness, with several applications.

Valuation and management of fixed income securities

Duration and Yield curve estimation

Selection criteria of riskless financial flows

Basic Financial Transactions Elementary: The Interest in Simple, Actuarial and Compound Regime, Comparison of three Financial arrangements, equivalent exchange rates.

Annuities and Constitution Capital: with fixed rates with variable rates.

Amortization: General requirements. Particular Amortization schedules. Amortization of capital with constant capital rates (Italian), with constant annuity (French). Amortization plan with two rates (American type). Other repayment plans. Leasing. Settlement value.

Evaluation of financial flows: Value, Makeham formula. Evaluation Criteria of Investment. Net Present value Criterion (NPV). Internal Rate of yield or cost (IR). Comparison between NPV and IR.

Arithmetic Average Maturity. Financial Average Maturity. Duration. Flat Duration and Modified Duration. Convexity.

Bonds and related properties.

Mathematics

### Learning Achievements (Dublin Descriptors)

It is expected the learning of the basic elements of classical mathematical finance leading to the knowledge and understanding of this subject and to its use and application in the framework of different contexts. The ability of the autonomous use of the financial techniques in several activities and works in this sector are also expected, as well as making autonomous judgements ability, learning and communication abilities.

### Teaching Material

The teaching material prepared by the lecturer in addition to recommended textbooks (such as for instance slides, lecture notes, exercises, bibliography) and communications from the lecturer specific to the course can be found inside the Moodle platform › blended.uniurb.it

### Teaching, Attendance, Course Books and Assessment

Teaching
Course books

Castagnoli, Cigola, Peccati, "Financial Calculus with applications" EGEA, Milano, 2013.

Assessment

3 exercises followed by an oral examination.

Disabilità e DSA

Le studentesse e gli studenti che hanno registrato la certificazione di disabilità o la certificazione di DSA presso l'Ufficio Inclusione e diritto allo studio, possono chiedere di utilizzare le mappe concettuali (per parole chiave) durante la prova di esame.

A tal fine, è necessario inviare le mappe, due settimane prima dell’appello di esame, alla o al docente del corso, che ne verificherà la coerenza con le indicazioni delle linee guida di ateneo e potrà chiederne la modifica.

 « back Last update: 04/07/2016

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