Type:
Master
Speciality:
056802.03.7 - Financial Mathematics
Specialisation:
056802.03.7 - Financial Mathematics
Qualification awarded:
Master of Financial Mathematics
Programme academic year:
2024/2025
Mode of study:
Full time
Language of study:
Հայերեն
General educational component
Chair code | Name of the course | Credits |
---|---|---|
0112 | Information Technologies in Specialization | 3 |
1st autumn term
30
2 hours per week
MANDATORY
0107/Մ01
1. Purpose of the Course
.provide a broad understanding of Python principles and techniques,
.master the creation of financial instruments using the Python programming language. 2. Educational Outcomes
a. Professional knowledge and understanding
.through a broad knowledge of the principles of quantitative evidence, to make strategic decisions in the financial sector, b. practical professional skills .apply financial models and formulas using Python, .evaluate theoretical arguments and empirical evidence using Python, .conduct research using Python, .apply the Python programming language tools necessary for linear algebra and stochastic calculations, c. general/transferable skills .demonstrate logical thinking, perform critical analysis. 3. Description
.provide a broad understanding of Python principles and techniques,
.master the creation of financial instruments using the Python programming language. 4. Teaching and Learning Styles and Methods
. practical classes.
5. Evaluation Methods and Criteria
The course ends with an exam, the student does an independent research work, which the student presents during the exam.
6. Basic Bibliography
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2201 | Project management and evaluation | 3 |
2nd spring term
30
4 hours/week
MANDATORY
2203/Մ03
1. Purpose of the Course
.to acquaint students with the international practice of project management,
.to teach how to assess needs and plan the implementation of a need-based project, .to introduce quantitative and qualitative methods of project evaluation, .to demonstrate the importance of project management in the context of modern project management. 2. Educational Outcomes
a. Professional knowledge and understanding
explain project management methods, justify approaches to project planning, b. Practical professional skills conduct a needs assessment, carry out an evaluation of the project concept, process and results, perform SWOT and gap analysis, c. General (transferable) skills to use the results of needs and projects assessment in the direction of development and improvement of society. 3. Description
.to acquaint students with the international practice of project management,
.to teach how to assess needs and plan the implementation of a need-based project, .to introduce quantitative and qualitative methods of project evaluation, .to demonstrate the importance of project management in the context of modern project management. 4. Teaching and Learning Styles and Methods
.lecture,
.seminar classes, .independent tasks and computer presentations. 5. Evaluation Methods and Criteria
the course is valued at a maximum of 20 points,
current exams are written with a maximum value of 4 and 5 points respectively (45%). independent work is written with a maximum value of 8 points (40%). participation with a maximum value of 3 points (15%). 6. Basic Bibliography
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1306 | Career management | 3 |
2nd spring term
30
4 hours/week
MANDATORY
1306/Մ04
1. Purpose of the Course
.to acquaint students with the basic concepts of social psychology of career management,
.to form a comprehensive understanding of the meaning of career and possible career building practices from the point of view of personal growth. 2. Educational Outcomes
a. Professional knowledge and understanding
.in terms of content, to define and interpret such concepts as: career, management, career management from a psychological point of view. .to analyze the specificity of the career processes and factors that are influential on the career course. .to present the main directions of career management study, b. Practical professional skills .Design career management mechanisms in the organization. .Make decisions from the point of view of career management in difficult situations within the framework of psychology (conflict, uncertainty, time limitation, etc.), c. General (transferable) skills .work with small groups. 3. Description
.to acquaint students with the basic concepts of social psychology of career management,
.to form a comprehensive understanding of the meaning of career and possible career building practices from the point of view of personal growth. 4. Teaching and Learning Styles and Methods
.practical classes,
.seminar-discussions, .independent analysis of literature, .exercises. 5. Evaluation Methods and Criteria
the course is valued at a maximum of 20 points,
current exams are written with a maximum value of 4 and 5 points respectively (45%). independent work is written with a maximum value of 8 points (40%). participation with a maximum value of 3 points (15%). 6. Basic Bibliography
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0107 | Research Planning and Methods | 3 |
2nd spring term
30
4 hours/week
MANDATORY
0107/Մ01
1. Purpose of the Course
.knowledge of professional issues related to research planning and development,
.ability to compare design, development methods and systems of services for the study of modern expert methods 2. Educational Outcomes
a. Professional knowledge and understanding
.present the main principles and concepts of modern research (in particular, on the example of financial analysis), .clarify the main principles of research, methods of scientific research management systems, planning and organization management studies, .describe the methods of conducting research, b. Practical professional skills .use various research tools and processes, develop procedural and methodical research schematic management systems for research plans (especially with the example of financial analyses), .to make suggestions on increasing the efficiency of given researches, to apply qualitative and quantitative methods of analysis of research results, c. General (transferable) skills .use various sources of information, analyze existing problems and evaluate the resources necessary for their solution, effectively plan time and other resources, prepare scientific reports. 3. Description
.knowledge of professional issues related to research planning and development,
.ability to compare design, development methods and systems of services for the study of modern expert methods 4. Teaching and Learning Styles and Methods
.lectures - with Power point materials,
.practical works - research on financial and risk management topics, .group work: conducting and presenting researches, .individual works - research analysis. 5. Evaluation Methods and Criteria
the course is valued at a maximum of 20 points,
current exams are written with a maximum value of 4 and 5 points respectively (45%). independent work is written with a maximum value of 8 points (40%). participation with a maximum value of 3 points (15%). 6. Basic Bibliography
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1005 | Entrepreneurship | 3 |
2nd spring term
30
4 hours/week
MANDATORY
1005/Մ05
1. Purpose of the Course
.to provide knowledge about the essence and characteristics of entrepreneurial activity, as well as the problems of business development,
.to teach the video-methodical foundations of entrepreneurial activity, as well as the video-practical basics of business organization and management and business management skills. 2. Educational Outcomes
a. Professional knowledge and understanding
.to define the essence and basic concepts of business activity, systemic features and model features of business, features and features of phased development of business, .to present the video-methodical foundations of entrepreneurial activity, as well as both video-practical and applied aspects of business organization and management, b. Practical professional skills .to analyze and distinguish between business systems and types, to find adequate approaches to business development, to choose the video-practical bases of organization and management of business activities and the forms of their implementation, .to evaluate the business situation and business environment in RA, to present business development opportunities and problems and risks, to predict business development opportunities and prospects, .to use tools for developing business plans, to use Porter's five competitive forces and SWOT analysis tools and to evaluate the effectiveness and appropriateness of a business project, c. General (transferable) skills .to use various information-analytical sources (internet resources, electronic libraries, scientific articles, reports, annual reports of international organizations, perform necessary analyses, etc. 3. Description
.to provide knowledge about the essence and characteristics of entrepreneurial activity, as well as the problems of business development,
.to teach the video-methodical foundations of entrepreneurial activity, as well as the video-practical basics of business organization and management and business management skills. 4. Teaching and Learning Styles and Methods
.lecture classes,
.seminar classes, .discussions. 5. Evaluation Methods and Criteria
the course is valued at a maximum of 20 points,
current exams are written with a maximum value of 4 and 5 points respectively (45%). independent work is written with a maximum value of 8 points (40%). participation with a maximum value of 3 points (15%). 6. Basic Bibliography
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Professional educational component
Chair code | Name of the course | Credits |
---|---|---|
0107 | Investment Portfolio Management | 6 |
1st autumn term
60
4 hours per week
MANDATORY
0107/Մ01
1. Purpose of the Course
.to develop students' professional abilities by providing in-depth training on the types of investment portfolios and their management principles,
.to enable students to build optimal investment portfolios, to carry out risk assessment, monitoring and management processes related to portfolios, .introduce students to the processes of building and managing investment portfolios with specialized computer programs, using various mathematical methods of market risk assessment. 2. Educational Outcomes
a. Professional knowledge and understanding
.to present the principles and concepts of construction and management of an investment portfolio, to formulate the problems of global and local financial markets and the types of risks arising in these markets, to apply the methods based on the theory of Markowitz to solve the problems of construction of portfolios, .to explain the principles of using derivatives in the construction of investment portfolios and build portfolios consisting of derivatives, apply linear factor models and explain the use of macroeconomic indicators for the construction of investment portfolios, b. Practical professional skills .to build financial asset pricing models, use probabilistic, optimization, statistical, econometric, numerical and other mathematical methods, c. General/transferable skills .use professional literature, other sources of information, analyze the existing problems of the field and propose approaches for their solution. 3. Description
.to develop students' professional abilities by providing in-depth training on the types of investment portfolios and their management principles,
.to enable students to build optimal investment portfolios, to carry out risk assessment, monitoring and management processes related to portfolios, .introduce students to the processes of building and managing investment portfolios with specialized computer programs, using various mathematical methods of market risk assessment. 4. Teaching and Learning Styles and Methods
.lecture,
.practical work using computer programs, .independent work with computer programs and literature study. 5. Evaluation Methods and Criteria
the course is valued at a maximum of 20 points,
Of the 2 current exams, one is written and the other is a research paper with a maximum value of 8 points (40%). current checks with a maximum value of 3 points (15%). the final exam is oral with a maximum value of 9 points (45%). 6. Basic Bibliography
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0107 | Stochastic Calculus in Finance | 6 |
1st autumn term
60
4 hours per week
MANDATORY
0107/Մ02
1. Purpose of the Course
.basic principles of probabilistic modeling in financial markets,
.classical models of pricing and hedging of complex financial instruments, .the evaluation of derivatives using stochastic analysis methods, the modeling of price characteristics of derivatives (Greek letters). 2. Educational Outcomes
a. Professional knowledge and understanding
.explain and interpret filtered probability spaces and information, basic principles of stochastic accounting, resizing, martingale valuation of financial instruments, hedging models of derivatives, analytical and probabilistic methods of option valuation, stochastic modeling of interest rates, hedging strategies, b. Practical professional skills .build probability space filtrations, martingale probability measures within the classical theory, .describe asset price processes and calculate characteristics, describe the principles of constructing hedging portfolios, construct valuations for European options, derive the main characteristics of options (Greeks), derive valuation formulas for American options, .to carry out modeling of stochastic interest rates, within the framework of classical theory, .evaluate the evolution of the prices of financial assets, portfolios, derivatives, propose portfolio strategies for hedging their risks, apply the knowledge gained in the application of more complex random processes, c. General/transferable skills .use professional literature, other sources of information, analyze the existing problems of the field and propose approaches for their solution. 3. Description
.basic principles of probabilistic modeling in financial markets,
.classical models of pricing and hedging of complex financial instruments, .the evaluation of derivatives using stochastic analysis methods, the modeling of price characteristics of derivatives (Greek letters). 4. Teaching and Learning Styles and Methods
.theoretical lectures,
.study of practical problems. 5. Evaluation Methods and Criteria
the course is valued at a maximum of 20 points,
2 current exams are written with a maximum value of 8 total points (40%). current tests are written with a maximum value of 4 points (20%). the final exam is oral with a maximum value of 8 points (40%). 6. Basic Bibliography
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0107 | Optimization Methods and Applications | 6 |
1st autumn term
60
4 hours per week
MANDATORY
0107/Մ03
1. Purpose of the Course
.to present analytical and numerical methods for solving optimization problems, to be able to model and categorize problems to solve them using optimization methods.
2. Educational Outcomes
a. Professional knowledge and understanding
.present methods for solving optimization problems with analytical and numerical methods, b. Practical professional skills .model and classify problems as optimization problems, .apply software and information technologies when solving problems arising during work and research, c. General/transferable skills .analyze existing problems and propose ways to solve them, .apply knowledge in solving problems related to the field. 3. Description
.to present analytical and numerical methods for solving optimization problems, to be able to model and categorize problems to solve them using optimization methods.
4. Teaching and Learning Styles and Methods
.lecture
.practical training .independent work. 5. Evaluation Methods and Criteria
the course is valued at a maximum of 20 points,
2 current exams are written with a maximum value of 8 total points (40%). current tests are written with a maximum value of 3 points (15%). the final exam is oral with a maximum value of 9 points (45%). 6. Basic Bibliography
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0107 | Survival analysis | 6 |
1st autumn term
60
4 hours/week
MANDATORY
0107/Մ04
1. Purpose of the Course
.Introduce time-to-event random variable analysis methods
.Present appropriate IT toolkit .Model and analyze survival data, interpret the obtained results 2. Educational Outcomes
a. Professional knowledge and understanding
.Master the basic concepts of survival analysis, .Differentiate survival analysis methods. b. Practical professional skills .Perform survival analysis in various fields such as finance, insurance, healthcare, sociology, etc., .Interpret the results of the analysis, .Draw meaningful conclusions. c. General (transferable) skills .Take a critical approach to assumptions and data in models .Apply the acquired knowledge in practice. 3. Description
.Introduce time-to-event random variable analysis methods
.Present appropriate IT toolkit .Model and analyze survival data, interpret the obtained results 4. Teaching and Learning Styles and Methods
.Interactive and classical style Lectures.
.Solving exercises. 5. Evaluation Methods and Criteria
1st interim test - is organized in writing, the questionnaire contains 3 questions, each of which is evaluated with 1, 1, 2 point. Evaluation step: 0.25 points (20%).
2nd interim test - is presentation of research works evaluated with a maximum value of 4 points (20%). Current checks with a maximum value of 3 points (15%). Final test - oral question, the questionnaire contains 3 questions, 3 points each, with a maximum value of 9 points. Evaluation step: 0.25 points (45%) 6. Basic Bibliography
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0107 | Financial Risk Management | 3 |
1st autumn term
30
2 hours per week
MANDATORY
0107/Մ05
1. Purpose of the Course
.to acquaint students with the main methods of financial risk assessment and analysis, as well as to form the student's understanding of the modern state of the financial sector, which has been intensively developing in recent years.
2. Educational Outcomes
a. Professional knowledge and understanding
.to present financial, market, credit risks, Value at Risk (VaR) index, creditworthiness assessment methods, .to cover the basic principles of financial risk assessment and management, .to develop approaches to risk management in a real economic environment, to combine mathematical and financial knowledge in the problems of developing a system of risk norms, b. Practical professional skills .to separate and identify financial risks and their sources, assess and manage risks with the help of financial models based on mathematical methods, .to apply financial engineering skills, c. General (transferable) skills .Use professional literature, other sources of information, analyze the existing problems of the field and propose approaches for their solution. 3. Description
.to acquaint students with the main methods of financial risk assessment and analysis, as well as to form the student's understanding of the modern state of the financial sector, which has been intensively developing in recent years.
4. Teaching and Learning Styles and Methods
.lecture, practical and seminar classes,
.solving problems with a computer, scientific discussions, .independent research paper. 5. Evaluation Methods and Criteria
the course is valued at a maximum of 20 points,
current tests are written with a maximum value of 5 points (25%). independent work is written with a maximum value of 6 points (30%). the final exam is oral with a maximum value of 9 points (45%). 6. Basic Bibliography
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0107 | Financial Econometrics | 6 |
2nd term
60
7,5 hours/week
MANDATORY
0107/Մ06
1. Purpose of the Course
.Develop students' professional abilities by providing advanced training in the field of time series, to provide a deep theoretical and practical basis for interpreting and analyzing problems of finance, macroeconomics and microeconomics.
.Develop students' skills in applying advanced econometric methods to social science practice. 2. Educational Outcomes
a. Professional knowledge and understanding
.choose the models necessary for researching a specific problem, .formulate and justify the econometric problem, b. Practical professional skills .forecast macroeconomic indicators, .to assess the quantitative dependence between economic variables and to identify the cause-and-effect relationship, .test economic theory and evaluate the results of economic policy, c. Generic/transferable skills .prepare reports, present the results of research works, conduct scientific debates, participate in multidisciplinary discussions, .analyze the existing problems and evaluate the possibilities of their solution. 3. Description
.Develop students' professional abilities by providing advanced training in the field of time series, to provide a deep theoretical and practical basis for interpreting and analyzing problems of finance, macroeconomics and microeconomics.
.Develop students' skills in applying advanced econometric methods to social science practice. 4. Teaching and Learning Styles and Methods
.lecture, practical and seminar classes,
.solving problems with a computer, scientific discussions, .independent research work. 5. Evaluation Methods and Criteria
The course is valued at a maximum of 20 points.
Current checks with a maximum value of 8 points (25%), independent work with a maximum value of 6 points (30%), The final exam is oral with a maximum value of 9 points (45%): 6. Basic Bibliography
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0107 | Fixed Income Securities Pricing Models | 3 |
2nd spring term
30
4 hours per week
MANDATORY
0107/Մ07
1. Purpose of the Course
.to acquaint students with the types, properties and standards of bond and money market instruments, as well as teach the features of the pricing of these instruments, indicators describing the risk.
2. Educational Outcomes
a. Professional knowledge and understanding
.to present the time structure of interest rates, types of bonds, their properties and characteristics, .to recognize the types of "FIS", to understand the issues related to their pricing, risk description, to identify the principles of the evaluation of bonds and their portfolios, the construction of yield curves, b. Practical professional skills .derive formulas for bond valuation, solve yield curve construction and analysis problems, perform interest rate risk and volatility analysis, .implement dynamic modeling of returns, solve practical problems of evaluation and hedging of financial instruments sensitive to interest rates, c. General (transferable) skills .use professional literature, other sources of information, analyze existing problems in the field and propose approaches for their solution. 3. Description
.to acquaint students with the types, properties and standards of bond and money market instruments, as well as teach the features of the pricing of these instruments, indicators describing the risk.
4. Teaching and Learning Styles and Methods
.lecture, practical and seminar classes,
.solving problems with a computer, scientific discussions, .independent research work. 5. Evaluation Methods and Criteria
the course is valued at a maximum of 20 points,
current tests are written with a maximum value of 5 points (25%). independent work is written with a maximum value of 6 points (30%). the final exam is oral with a maximum value of 9 points (45%). 6. Basic Bibliography
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0107 | Quantitative finance | 3 |
2nd spring term
30
4 hours per week
MANDATORY
0107/Մ08
1. Purpose of the Course
.to present the main methods of assessing the value of organizations, methods of analyzing the organization's cash flows,
.to present options trading and risk management strategy development approaches. 2. Educational Outcomes
a. Professional knowledge and understanding
.present the approaches to evaluating the value of the organization, the features of their application, .develop risk management and trading strategies using options, .develop optimal decision-making mechanisms in the investment operation, b. Practical professional skills .build models in order to estimate the value of the organization, .build strategies using option contracts, model the organization's cash flows, c. General (transferable) skills .use professional literature, other sources of information, analyze existing problems in the field and propose approaches for their solution. 3. Description
.to present the main methods of assessing the value of organizations, methods of analyzing the organization's cash flows,
.to present options trading and risk management strategy development approaches. 4. Teaching and Learning Styles and Methods
.lecture, practical and seminar classes,
.solving problems with a computer, .independent research work 5. Evaluation Methods and Criteria
the course is valued at a maximum of 20 points,
current tests are written with a maximum value of 5 points (25%). independent work is written with a maximum value of 6 points (30%). the final exam is oral with a maximum value of 9 points (45%). 6. Basic Bibliography
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Other educational modules
Chair code | Name of the course | Credits |
---|---|---|
0107 | Professional Internship | 3 |
2nd spring term
90 hours
3 weeks
MANDATORY
0107\Մ01
1. Purpose of the Course
.through practical work, to develop the student's professional skills and experience, the ability to work independently in the professional field.
.to create the ability to perform actuarial calculations, assess various types of risks, perform micro and macroeconomic analysis, and solve real practical problems related to managing investment portfolios. 2. Educational Outcomes
a. Professional knowledge and understanding
.work with basic financial and actuarial models and basic schemes of investment activity, .develop a financial model to solve a given problem, b. Practical professional skills .practically apply risk assessment models, investment portfolio management schemes, actuarial calculation mechanisms, .to evaluate and forecast the economic situation using mathematical and statistical methods and models, .perform actuarial calculations and risk assessment calculations, c. General (transferable) skills .use professional literature, other sources of information, analyze the existing problems of the field and propose approaches for their solution. 3. Description
.through practical work, to develop the student's professional skills and experience, the ability to work independently in the professional field.
.to create the ability to perform actuarial calculations, assess various types of risks, perform micro and macroeconomic analysis, and solve real practical problems related to managing investment portfolios. 4. Teaching and Learning Styles and Methods
.Students get acquainted with the actuarial calculation process of an insurance company or the financial instruments used in the banking system, the construction of investment portfolios and the assessment and forecasting of economic conditions.
.Students get acquainted with the most widely used computer programs for solving the above-mentioned problems. .Summarize and present the obtained knowledge. 5. Evaluation Methods and Criteria
Practice is assessed in the form of a test. Internship is evaluated positively (verified, pass check) if the student participated in the internship, completed the tasks provided by the program, submitted the internship report within the specified period.
6. Basic Bibliography
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0107 | Master's Thesis | 12 |
2nd spring term
360 hours
MANDATORY
0107/Բ02
1. Purpose of the Course
.check the professional theoretical and applied knowledge of the student,
.check the student's practical professional abilities in terms of building models, formulating and solving problems, obtaining and formulating results, .check the student's ability to present and justify the obtained results. 2. Educational Outcomes
a. Professional knowledge and understanding
.interpret the obtained results, present ways and options for solving practical problems, .present the basics of construction and management of an investment portfolio, explain the principles of using derivatives in the construction of an investment portfolio, .present the main quantitative, statistical, optimization and econometric methods and models used for micro and macroeconomic and financial analysis, risk management decision-making purposes, b. Practical professional skills .design possible options for decisions to be made under conditions of risk and uncertainty, using modern quantitative and statistical methods to make the existing risks predictable and manageable based on the best information, .use professional software packages (MATLAB, MS Excel, Phyton) to solve practical problems, .apply the methods of mathematical analysis, higher algebra, analytical geometry, probability theory and applied statistics in order to solve practical problems, c. General (transferable) skills .work with large databases, with their help to carry out impact assessments, analyzes and forecasts, .use professional literature (including foreign language), prepare scientific reports, specialize in various fields of science and economy, where rational thinking, analytical abilities, and logic are required. .prepare scientific reports, specialize in various fields of science and economy, where rational thinking, analytical abilities, logic are required. 3. Description
.check the professional theoretical and applied knowledge of the student,
.check the student's practical professional abilities in terms of building models, formulating and solving problems, obtaining and formulating results, .check the student's ability to present and justify the obtained results. 4. Evaluation Methods and Criteria
The novelty of the research is assessed
The clarity/accuracy of the presentation, the justification of the provisions is evaluated Evaluation criteria and preparation procedure http://www.old.ysu.am/files/karg-1.pdf |