FACULTY OF ARTS AND SCIENCES

Department of Mathematics

IE 375 | Course Introduction and Application Information

Course Name
Financial Engineering
Code
Semester
Theory
(hour/week)
Application/Lab
(hour/week)
Local Credits
ECTS
IE 375
Fall/Spring
3
0
3
5

Prerequisites
None
Course Language
English
Course Type
Elective
Course Level
First Cycle
Mode of Delivery -
Teaching Methods and Techniques of the Course Lecture / Presentation
Course Coordinator
Course Lecturer(s)
Assistant(s) -
Course Objectives To familiarize students both with the concepts underlying the economic analysis of engineering projects, as well as with the type of mathematical derivations needed in the analysis.
Learning Outcomes The students who succeeded in this course;
  • Will be able to familiarize with the concepts underlying the economic analysis of engineering projects
  • Will be able to develop related mathematical derivations needed in the analysis
  • Will be able to evaluate investment opportunities
  • Will be able to determine optimal decisions by using mathematical optimization models
  • Will be able to solve sequential optimization problems by using simulation models
Course Description Students will learn to make decisions by taking into account such features as interest rates, and rates of return. They will learn about the concept of arbitrage, and when consideration of such is sufficient to price different investments. Applications to call and put options will be given. Students will learn when arbitrage arguments are not sufficient to evaluate investment opportunities. They will learn to make use of utility theory and mathematical optimization models to determine optimal decisions. Dynamic programming will be introduced and used to solve sequential optimization problems. The use of simulation in financial engineering will be explored.

 



Course Category

Core Courses
Major Area Courses
Supportive Courses
Media and Management Skills Courses
Transferable Skill Courses

 

WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES

Week Subjects Related Preparation
1 Introduction, Interest Rates and Present Value An Elementary Introduction to Mathematical Finance: Options and Other Topics, Second ed., Sheldon Ross, Cambridge University Press, 2003 Ch1
2 Rate of Returns An Elementary Introduction to Mathematical Finance: Options and Other Topics, Second ed., Sheldon Ross, Cambridge University Press, 2003 Ch2
3 Arbitrage and its use in Pricing An Elementary Introduction to Mathematical Finance: Options and Other Topics, Second ed., Sheldon Ross, Cambridge University Press, 2003 Ch3
4 The Arbitrage Theorem An Elementary Introduction to Mathematical Finance: Options and Other Topics, Second ed., Sheldon Ross, Cambridge University Press, 2003 Ch3
5 Applications of the Arbitrage Theorem An Elementary Introduction to Mathematical Finance: Options and Other Topics, Second ed., Sheldon Ross, Cambridge University Press, 2003 Ch3
6 Review and Midterm Exam
7 Geometric Brownian Motion An Elementary Introduction to Mathematical Finance: Options and Other Topics, Second ed., Sheldon Ross, Cambridge University Press, 2003 Ch4
8 Option Pricing Theory An Elementary Introduction to Mathematical Finance: Options and Other Topics, Second ed., Sheldon Ross, Cambridge University Press, 2003 Ch5
9 Optimization Models in Financial Engineering An Elementary Introduction to Mathematical Finance: Options and Other Topics, Second ed., Sheldon Ross, Cambridge University Press, 2003 Ch6
10 Solving Optimization Models by Dynamic Programming An Elementary Introduction to Mathematical Finance: Options and Other Topics, Second ed., Sheldon Ross, Cambridge University Press, 2003 Ch6
11 Dynamic Programming models An Elementary Introduction to Mathematical Finance: Options and Other Topics, Second ed., Sheldon Ross, Cambridge University Press, 2003 Ch6
12 Pricing by Expected Utility An Elementary Introduction to Mathematical Finance: Options and Other Topics, Second ed., Sheldon Ross, Cambridge University Press, 2003 Ch7
13 Simulation and Variance Reduction An Elementary Introduction to Mathematical Finance: Options and Other Topics, Second ed., Sheldon Ross, Cambridge University Press, 2003 Ch8
14 Simulation Analysis of Exotic Options and Final Review An Elementary Introduction to Mathematical Finance: Options and Other Topics, Second ed., Sheldon Ross, Cambridge University Press, 2003 Ch8
15 General review and evaluation
16 Review of the Semester  

 

Course Notes/Textbooks Textbook: An Elementary Introduction to Mathematical Finance: Options and Other Topics, Second ed., Sheldon Ross, Cambridge University Press, 2003
Suggested Readings/Materials

 

EVALUATION SYSTEM

Semester Activities Number Weigthing
Participation
1
10
Laboratory / Application
Field Work
Quizzes / Studio Critiques
Portfolio
Homework / Assignments
10
10
Presentation / Jury
1
10
Project
Seminar / Workshop
Oral Exams
Midterm
1
30
Final Exam
1
40
Total

Weighting of Semester Activities on the Final Grade
28
60
Weighting of End-of-Semester Activities on the Final Grade
1
40
Total

ECTS / WORKLOAD TABLE

Semester Activities Number Duration (Hours) Workload
Theoretical Course Hours
(Including exam week: 16 x total hours)
16
3
48
Laboratory / Application Hours
(Including exam week: '.16.' x total hours)
16
0
Study Hours Out of Class
14
2
28
Field Work
0
Quizzes / Studio Critiques
0
Portfolio
0
Homework / Assignments
10
2
20
Presentation / Jury
1
15
15
Project
0
Seminar / Workshop
0
Oral Exam
0
Midterms
1
17
17
Final Exam
1
22
22
    Total
150

 

COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP

#
Program Competencies/Outcomes
* Contribution Level
1
2
3
4
5
1

To be able to have a grasp of basic mathematics, applied mathematics or theories and applications of statistics.

2

To be able to use advanced theoretical and applied knowledge, interpret and evaluate data, define and analyze problems, develop solutions based on research and proofs by using acquired advanced knowledge and skills within the fields of mathematics or statistics.

3

To be able to apply mathematics or statistics in real life phenomena with interdisciplinary approach and discover their potentials.

4

To be able to evaluate the knowledge and skills acquired at an advanced level in the field with a critical approach and develop positive attitude towards lifelong learning.

5

To be able to share the ideas and solution proposals to problems on issues in the field with professionals, non-professionals.

6

To be able to take responsibility both as a team member or individual in order to solve unexpected complex problems faced within the implementations in the field, planning and managing activities towards the development of subordinates in the framework of a project.

7

To be able to use informatics and communication technologies with at least a minimum level of European Computer Driving License Advanced Level software knowledge.

8

To be able to act in accordance with social, scientific, cultural and ethical values on the stages of gathering, implementation and release of the results of data related to the field.

9

To be able to possess sufficient consciousness about the issues of universality of social rights, social justice, quality, cultural values and also environmental protection, worker's health and security.

X
10

To be able to connect concrete events and transfer solutions, collect data, analyze and interpret results using scientific methods and having a way of abstract thinking.

X
11

To be able to collect data in the areas of Mathematics or Statistics and communicate with colleagues in a foreign language.

12

To be able to speak a second foreign language at a medium level of fluency efficiently.

13

To be able to relate the knowledge accumulated throughout the human history to their field of expertise.

*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest

 


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