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Evaluation of effectiveness of investments


Some basic information about the module

Cycle of education:
2018/2019
The name of the faculty organization unit:
The faculty Mathematics and Applied Physics
The name of the field of study:
Mathematics
The area of study:
sciences
The profile of studing:
The level of study:
second degree study
Type of study:
full time
discipline specialities :
Applications of Mathematics in Computer Science, Applications of Mathematics in Economics
The degree after graduating from university:
The name of the module department :
Department of Mathematics
The code of the module:
1490
The module status:
mandatory for the speciality Applications of Mathematics in Economics
The position in the studies teaching programme:
sem: 2 / W30 L30 / 4 ECTS / Z
The language of the lecture:
Polish
The name of the coordinator:
Beata Rzepka, prof. PRz, DSc, PhD
office hours of the coordinator:
podane w harmonogramie pracy jednostki.
semester 2:
Rafał Nalepa, PhD , office hours as in the work schedule of Departament of Nonlinear Analysis.

The aim of studying and bibliography

The main aim of study:
To familiarize the students with the notions of the financial and physical investment as well as with methods of evaluation of their effectiveness. Upon completion of this module the student should know the indicators and methods (static and dynamic) of evaluate of the effectiveness of investments. To familiarize the students with the applications of R environment, CAS Maxima and spreadsheet in the evaluation of effectiveness of investments.

The general information about the module:
The module is implemented in the second semester in the form of lectures (30 hours) and laboratories (30 hours).

Bibliography required to complete the module
Bibliography used during lectures
1 K. Jajuga, T. Jajuga Inwestycje: instrumenty finansowe, ryzyko finansowe, inżynieria finansowa PWN, Warszawa. 1999
2 E. Nowak, E. Pielichaty, M. Poszwa Rachunek opłacalności inwestowania Polskie Wydawnictwo Ekonomiczne, Warszawa. 1999
3 M. Podgórska, J. Klimkowska Matematyka finansowa PWN, Warszawa. 2005
4 W. Rogowski Rachunek efektywności inwestycji. Wyzwania teorii i potrzeby praktyki Wolters Kluwer Polska SA, Warszawa. 2013
5 M. Sierpińska, T. Jachna Ocena przedsiębiorstwa według standardów światowych PWN, Warszawa. 2006
6 M. Sobczyk Matematyka finansowa Agencja Wydawnicza PLACET, Warszawa. 2011
Bibliography used during classes/laboratories/others
1 P. Biecek Przewodnik po pakiecie R Oficyna Wydawnicza GiS, Wrocław. 2017
2 S. Klik Arkusz kalkulacyjny EXCEL wer. 4.0: poradnik użytkownika Wydawnictwo PLJ, Warszawa. 1992
3 C. T. Lachowicz Matlab, Scilab, Maxima: opis i przykłady zastosowań Oficyna Wydawnicza Politechniki Opolskiej, Opole. 2005
4 J. P. Lander R dla każdego: zaawansowane analizy i grafika statystyczna APN Promise, Warszawa. 2018
5 M. Podgórska, J. Klimkowska Matematyka finansowa PWN, Warszawa. 2005
6 M. Sierpińska, T. Jachna Ocena przedsiębiorstwa według standardów światowych PWN, Warszawa. 2006
7 M. Sobczyk Matematyka finansowa Agencja Wydawnicza PLACET, Warszawa. 2011

Basic requirements in category knowledge/skills/social competences

Formal requirements:
Basic knowledge of financial mathematics.

Basic requirements in category knowledge:
A student has mathematical knowledge which allows him/her to understand the lectured material.

Basic requirements in category skills:
Ability to use fundamental mathematical tools in order to solve a task.

Basic requirements in category social competences:
A student is prepared to undertake substantiated mathematical operations in order to solve a task and has the ability to extend his/her knowledge independently.

Module outcomes

MEK The student who completed the module Types of classes / teaching methods leading to achieving a given outcome of teaching Methods of verifying every mentioned outcome of teaching Relationships with KEK Relationships with OEK
MEK01 knows how to evaluate investments by using selected static methods for evaluation of effectiveness of investments lecture, laboratory project K-W02+
K-W04+
K-U02+
K-U16+
K-K01+
K-K02+
K-K03+
K-K04+
 W01+
U03+
U05+
U07+
K01+
K02+
K03+
K04+
K05+
K06+
K07+
MEK02 knows how to evaluate investments by using selected dynamic methods for evaluation of effectiveness of investments lecture, laboratory project K-W02+
K-W04+
K-U02+
K-U16+
K-K01+
K-K02+
K-K03+
K-K04+
 W01+
U03+
U05+
U07+
K01+
K02+
K03+
K04+
K05+
K06+
K07+

The syllabus of the module

Sem. TK The content realized in MEK
2 TK01 Cash flows, cost of capital, the notion of physical investment and financial investment, financial investment described by deterministic sequence of payments, calculus of investment efficiency, risk. W01-W04 MEK01 MEK02
2 TK02 To familiarize the students with R environment and with CAS Maxima. Presentation of the basic tools of spreadsheet. L01-L04
2 TK03 Static methods of evaluation of effectiveness of investments: payback period, accounting rate of return, calculus of break even point (quantity and value break even point) with sensitivity analysis. W05-W12, L05-L12 MEK01
2 TK04 Dynamic methods of evaluation of effectiveness of investments: net present value of investment, properties of net present value, net present value of investment taking into account risk, purchase coupon bonds and evaluation of this investment by using net present value, internal rate of return and its properties, sufficient conditions for the existence of internal rate of return, internal rate of return of bonds, profitability index of investment, modified internal rate of return of investment, duration of investment, discount payback period of investment. W13-W30, L13-L30 MEK02

The student's effort

The type of classes The work before classes The participation in classes The work after classes
Lecture (sem. 2) The preparation for a test: 5.00 hours/sem.
 contact hours: 30.00 hours/sem.
 complementing/reading through notes: 5.00 hours/sem.
Laboratory (sem. 2) The preparation for a Laboratory: 15.00 hours/sem.
The preparation for a test: 15.00 hours/sem.
 contact hours: 30.00 hours/sem.
Advice (sem. 2) The preparation for Advice: 3.00 hours/sem.
 The participation in Advice: 3.00 hours/sem.
Credit (sem. 2)

The way of giving the component module grades and the final grade

The type of classes The way of giving the final grade
Lecture A credit for the lecture is based on attendance at the lectures.
Laboratory A credit for the laboratory is based on projects including material realized during lectures and laboratories.
The final grade

Sample problems

Required during the exam/when receiving the credit
(-)

Realized during classes/laboratories/projects
(-)

Others
(-)

Can a student use any teaching aids during the exam/when receiving the credit : no

The contents of the module are associated with the research profile no