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Securities account

Some basic information about the module

Cycle of education: 2019/2020

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 Economics

The degree after graduating from university: master

The name of the module department : Departament of Discrete Mathematics

The code of the module: 1492

The module status: mandatory for teaching programme Applications of Mathematics in Economics

The position in the studies teaching programme: sem: 1 / W30 L30 / 5 ECTS / Z

The language of the lecture: Polish

The name of the coordinator: Dorota Bród, PhD

office hours of the coordinator: terminy konsultacji na stronie domowej

semester 1: Adrian Michalski, PhD , office hours on the home-page

The aim of studying and bibliography

The main aim of study: To acquaint students with basic types of securities and methods of their valuation.on the Polish market.

The general information about the module: To familiarize students with short- and long-term securities occurring on the Polish market, such as bills of exchange, Treasury bills, deposit certificates, stocks or bonds, and methods of their valuation. To talk over methods of portfolio construction based on the expected rate of return and the risk.

Bibliography required to complete the module
Bibliography used during lectures
1 E.Jabłońska, W.Jabłoński Rachunek papierów wartościowych Oficyna Wydawnicza Politechniki Rzeszowskiej, Rzeszów. 2010
2 K.Jajuga, T.Jajuga Inwestycje: instrumenty finansowe, aktywa niefinansowe, ryzyko finansowe, inżynieria finansowa Wyd. Naukowe PWN, Warszawa. 2007
Bibliography used during classes/laboratories/others
1 E.Jabłońska, W.Jabłoński Rachunek papierów wartościowych Oficyna Wydawnicza Politechniki Rzeszowskiej, Rzeszów. 2010
2 M.Matłoka, J.Światłowski Matematyka finansowa i funkcje finansowe arkusza kalkulacyjnego Wyd. Wyższej Szkoły Bankowej w Poznaniu, Poznań. 2003
3 M.Sobczyk Matematyka finansowa: podstawy teoretyczne, przykłady, zadania Wyd. PLACET, Warszawa . 2008
Bibliography to self-study
1 W. Bień Rynek papierów wartościowych Wyd. Difin, Warszawa. 2008
2 K.Jajuga, T.Jajuga Jak inwestować w papiery wartościowe Wyd. Naukowe PWN, Warszawa. 1994

Basic requirements in category knowledge/skills/social competences

Formal requirements: The student satisfies the formal requirements set out in the study regulations

Basic requirements in category knowledge: basic knowledge in fields of mathematical analysis, statistics, computer science (spreadsheet) and financial mathematics

Basic requirements in category skills: to know how to calculate a presentvalue and a future value of money, a mean value and a standard deviation of a random variable, a value of the standardized normal distribution , as well as local ext

Basic requirements in category social competences: Student understands the necessity of the systematic learning.

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 PRK
01 he knows what are a bill of exchange and a deposit certificate. lectures test, observation students' work during laboratories K_W04++
P7S_WG
02 he knows, what is a Treasury bill and he can calculate theTreasury bill yield in spreadsheet lecture, laboratory test, observation students' work during laboratories K_W04++
K_K03++
P7S_KO
P7S_KR
P7S_WG
03 he knows, what a bond is and he knows types of Treasury bonds in Poland lecture, laboratory test, observation students' work during laboratories K_W04++
K_U18++
K_K03++
P7S_KO
P7S_KR
P7S_UW
P7S_WG
04 he knows what a stock is, he knows dividend yield growth models and he can use them to calculate the current stock price in spreadsheet lecture, laboratory test, observation students' work during laboratories K_W04++
K_U16++
P7S_UU
P7S_UW
P7S_WG
05 he knows, what a rate of return and a risk of equity portfolio are and he can to calculate them using spreadsheet lecture, laboratory test, observation students' work during laboratories K_W04++
K_K03++
P7S_KO
P7S_KR
P7S_WG

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
1 TK01 Calculation a future value of money - a simple interest and a compound interest. Calculation a present value of money - a trade discount and a mathematical discount, a simple discount and a compound discount. L01 MEK02
1 TK02 The essence of securities and their basic functions. The division of securities. Types of securities. W01 MEK01 MEK02 MEK03
1 TK03 Bills of exchange. Types of bills of exchange. Calculation of the current bill of exchange with the trade discount. Rediscount of bills. Flat fee and proportional charge. The principle of equivalence of bills. Renewal bills. The portfolio of bills. W02-W03, L02-L03 MEK01
1 TK04 Treasury bills. Treasury bill auctions and rules of their announcements. A primary market and a secondary market of Treasury bills. A discount rate and a purchase price of a Treasury bill. A Treasury bill yield and its calculation. W04-W05, L03-L04 MEK02
1 TK05 Deposit certificates. Features of a deposit certificate. A deposit certificate value and its calculation. A deposit certificate value on a secondary market. A deposit certificate yield . Flat-rate interest deposit certificates and floating-rate interest deposit certificates. W06-W07, L05 MEK01
1 TK06 Bonds. A division of bonds. Basic characteristics of bonds. A nominal bond value and a market bond value. A bond yield. An approximate bond yield. Consoles, zero-coupon bonds, junk bonds, lottery bonds. W08-W09, L06-L07 MEK03
1 TK07 Test. L08 MEK01 MEK02 MEK03
1 TK08 Stocks. Types of stocks. Fundamental characteristics of stocks. The main stock exchange indexes: Dow Jones Index, Standard & Poorls Index, Warsaw Stock Exchange indices . Valuation of stocks: dividends and a stock price. Dividend yield growth models. A stock expected rate of return and risk. An equity portfolio. A stocks correlation coefficient. A risk of an equity portfolio. W10-W12, L09-L11 MEK04 MEK05
1 TK09 Talking over fundamental derivatives: forward contracts, futures contracts, swaps and options. Valuation of: equity-based forward and futures contracts, Valuation of forward rate agreement and interest rate swap. W13-W15, L12, L13, L15 MEK04
1 TK10 Test L14 MEK04 MEK05

The student's effort

The type of classes The work before classes The participation in classes The work after classes
Lecture (sem. 1) The preparation for a test: 20.00 hours/sem.
contact hours: 30.00 hours/sem.
complementing/reading through notes: 5.00 hours/sem.
Studying the recommended bibliography: 5.00 hours/sem.
Laboratory (sem. 1) The preparation for a Laboratory: 5.00 hours/sem.
The preparation for a test: 30.00 hours/sem.
contact hours: 30.00 hours/sem.
Finishing/Making the report: 3.00 hours/sem.
Advice (sem. 1)
Credit (sem. 1) The preparation for a Credit: 8.00 hours/sem.
The written credit: 4.00 hours/sem.

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

The type of classes The way of giving the final grade
Lecture Lecture is based on the activity.
Laboratory The mark is the meanverage of two marks of two tests, under the condition that student must obtain at mark 3 from each test.
The final grade Evaluation of the course is a grade from laboratory.

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 : yes

Available materials : table of the normal distribution, calculator, the list of formulas

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