MATHEMATICS FOR BUSINESS
Stampa
Enrollment year
2020/2021
Academic year
2020/2021
Regulations
DM270
Academic discipline
SECS-S/06 (MATHEMATICS FOR ECONOMICS, ACTUARIAL STUDIES AND FINANCE)
Department
DEPARTMENT OF ECONOMICS AND MANAGEMENT
Course
BUSINESS ADMINISTRATION AND LAW
Curriculum
PERCORSO COMUNE
Year of study
Period
2nd semester (22/02/2021 - 22/05/2021)
ECTS
6
Lesson hours
44 lesson hours
Language
Italian
Activity type
WRITTEN TEST
Teacher
ROSSIGNOLI CHIARA (titolare) - 6 ECTS
Prerequisites
Calculus 1
Learning outcomes
The course illustrates the characteristics and the evaluation (price formation) of the main financial instruments: bonds, equities, forward, futures and options.
It further deals, in the actuarial field, with forecasting the probability of death and survival, evaluating an insurance policy (life and death) and calculatng the mathematical reserve for an insurance company.
Course contents
1) Business valuation tools
Discounting and capitalization schemes

2) Valuation of financial projects
Net Present Value, Internal Rate of Return and Pay-back Period
Profitability indicators: - related ROE, ROA and ROC
- absolute EVA (Economic Value Added)

3) Bond securities
Valuation of fixed coupon and variable coupon securities
Duration and convexity
Financial immunization theorems


4) Models for the evaluation of a company's equity:
Dividend Discounting Model
Free Cash Flow approach in the absence of dividends

5) Derivatives: employment in risk management and evaluation
Forward and future contracts
European options and American options
Black & Scholes model for evaluating options
Options strategies in risk management

6) Elements of actuarial mathematics
Tables of mortality and expected life span
Calculation of premiums and reserves in insurance contracts
Pension plans and pension fund characteristics.
Teaching methods
Formal and interactive lectures. During the course exercises are planned.
Reccomended or required readings
Stefani, Torriero and Zambruno (2011), Elementi di Matematica Finanziaria e cenni di Programmazione Lineare, G. Giappicchelli, Quarta Edizione

John Hull (2012) Options, Futures and Other Derivatives, Prentice Hall, 8th Edition

Bodie, Z., Kane, A. and Marcus, A.J., 2012. Essentials of Investments 9th Edition. McGraw-Hill.

Olivieri and Pitacco (2015) Introduction to Insurance Mathematics, Springer, 2nd Edition
Assessment methods
The exam is written containing both theory questions and exercises.
Further information
Sustainable development goals - Agenda 2030