Faculty of Technical Sciences

Subject: Financial Mathematics (17.OM519)

Native organizations units: Department of Fundamentals Sciences
General information:
 
Category Professional-applicative
Scientific or art field
  • Proizvodni i uslužni sistemi, organizacija i menadžment
  • Teorijska i primenjena matematika
ECTS 5

Enabling students to develop abstract thinking and acquire basic knowledge in the field of financial mathematics.

The acquired knowledge is used in further education and in engineering subjects and the students are able to practically apply the knowledge of financial mathematics without memorization and use of formulas which frequently appear in different course books.

Simple interest calculation (Calculating the simple interest. Lombard calculation. Discounting of bills. Consumer credit. Current account. Foreign exchange and arbitrage of foreign exchange. Complex interest calculation. (Determining the price of short-term securities. Complex interest calculation. Accumulation factor. Nominal, relative, conformal, effective interest rate. Discount factor. Additional deposits factor. Anticipative and decursive deposits. Investing more often than calculating interest. Present value of a series of anticipative and decursive deposits. Present value of deferred anticipative and decursive deposits.Methods for determining the investment effectiveness. Determining the prices of financial instruments in the capital markets. Amortization of loan in decursive calculation of interest. Repayment law. Amortization of loan with equal and variable annuities and payments. Determining the last payment. The conversion of the loan.) Concept and types of economical functions. Optimization of economical functions of one variable. Analysis of economical functions using integration calculus.

Lectures; Numerical calculation practice. Consultations. Lectures are dynamic and interactive. In lectures, theoretical part of the course is taught followed by characteristic and typical examples for better understanding. In practices, which accompany lectures, typical problems are solved and knowledge from the lectures is deepened. Besides lectures and practice, consultations and group tutorials are held on a regular basis. Part of the course, presenting a logical whole, can be taken as partial examination during the course.

Authors Title Year Publisher Language
Mavron, V.,Phillips,T. Elements of Mathematics for Economics and Finance 2007 Springer-Verlag, London English
I. Jacques, Mathematics for Economics and Business 2006 FT Prentice Hall, Harlow, England English
2. Klein, M.W. Mathematical Methods for Economics 2002 AddisonWesley, Canada English
De Fisco,R., McLeavy, D., Pinto, J., Runkle,D. Quantitative Methods for Investment Analysis 2001 AIMR Association for Investment Management and Research, USA English
4. Hands, W.D. Introductory Mathematical Economics 2004 Oxford University Press Inc English
Course activity Pre-examination Obligations Number of points
Written part of the exam - tasks and theory No Yes 30.00
Theoretical part of the exam No Yes 40.00
Coloquium exam No No 10.00
Lecture attendance Yes Yes 5.00
Test Yes Yes 10.00
Computer exercise attendance Yes Yes 5.00
Coloquium exam No No 10.00
Test Yes Yes 10.00
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Assoc. Prof. Carić Biljana

Associate Professor

Lectures

Asistent sa doktoratom Stratijev Jelena

Assistant with PhD

Practical classes

Asistent sa doktoratom Stratijev Jelena

Assistant with PhD

Computational classes

Faculty of Technical Sciences

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© 2024. Faculty of Technical Sciences.