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# Models of Financing Transaction

2022/2023
ENG
Instruction in English
5
ECTS credits
Delivered at:
Department of Applied Mathematics and Informatics (Faculty of Informatics, Mathematics, and Computer Science (HSE Nizhny Novgorod))
Course type:
Compulsory course
When:
4 year, 1, 2 module

### Course Syllabus

#### Abstract

As a result of the development of the discipline the student must: • Know the basic theoretical principles of the basic mathematical models of financial transactions; • Be able to use professional computer packages to analyze financial data, compare their capabilities, advantages and disadvantages; • Be able to use software products to solve problems; • Be able to find the necessary information in additional literature; • Be able to use this knowledge to describe and solve problems using the apparatus of mathematical and computer Sciences; • Have practical skills in analyzing real financial data; • To have skills in development and computer implementation of new methods of fi-nancial data analysis. This discipline belongs to the elective part of the professional block of disciplines for bachelor degree. The study of this discipline is based on the fundamental courses "Mathematical analysis", "Linear algebra", "Probability ", "Mathematical Statistics". The main provisions of this course are used in the study of disciplines of the block of decision-making.

#### Learning Objectives

• The objectives of the course is to get acquainted with the basic mathematical models of financial transactions, the development of skills in working with financial data, the main methods and algorithms of analysis of financial time series

#### Expected Learning Outcomes

• Be able to calculate Index with PCA method, market portfolio in one index model
• Be able to construct Market portfolio and it’s interpretation
• Be able to use Bi-nomial model for the stock price, formula for the option price
• Formulate and use Arbitrage conditions
• General concepts of stock market modeling
• Use Mean-variance approach
• Use Sharp theory, over evaluated and under evaluated portfolios

#### Course Contents

• Stock market modeling
• Markowitz Model
• Markowitz-Tobin Model
• Model with one index
• Capital Asset Pricing Model (CAPM)
• Factor model for the market
• Options

• Home work 1
• Home work 2
• Exam
• Home work 3

#### Interim Assessment

• 2022/2023 2nd module
0.1 * Home work 2 + 0.1 * Home work 1 + 0.1 * Home work 3 + 0.7 * Exam

#### Recommended Core Bibliography

• Методы и алгоритмы финансовой математики, [монография], пер. с англ. С. В. Жуленева под ред. Е. В. Чепурина, 751 с., Люу, Ю., 2007