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
01	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+	X2A_W01+ X2A_U03+ X2A_U05+ X2A_U07+ X2A_K01+ X2A_K02+ X2A_K03+ X2A_K04+ X2A_K05+ X2A_K06+ X2A_K07+
02	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+	X2A_W01+ X2A_U03+ X2A_U05+ X2A_U07+ X2A_K01+ X2A_K02+ X2A_K03+ X2A_K04+ X2A_K05+ X2A_K06+ X2A_K07+

Attention: Depending on the epidemic situation, verification of the achieved learning outcomes specified in the study program, in particular credits and examinations at the end of specific classes, can be implemented remotely (real-time meetings).

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	The final grade is a credit for the laboratories.

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