• Svenska

# SF2701 Financial Mathematics, Basic Course 7.5 credits

Basic course on Financial Mathematics.

### For course offering

Spring 2025 Start 17 Mar 2025 programme students

### Target group

No information inserted

P4 (7.5 hp)

17 Mar 2025
2 Jun 2025

50%

Normal Daytime

English

KTH Campus

### Number of places

Places are not limited

## Application

### For course offering

Spring 2025 Start 17 Mar 2025 programme students

61212

## Contact

### For course offering

Spring 2025 Start 17 Mar 2025 programme students

### Examiner

No information inserted

### Course coordinator

No information inserted

### Teachers

No information inserted
Headings with content from the Course syllabus SF2701 (Spring 2022–) are denoted with an asterisk ( )

## Content and learning outcomes

### Course contents

The content of the course aims at making the student familiar with fundamental principles and methods for modelling of financial markets and for pricing of financial derivatives. The main focus is on models in discrete time and simpler continuous time models.

More precisely the following is part of the course:

• Binomial models in one and multiple periods
• Modelling of arbitrage free financial markets in discrete time
• Replication and arbitrage free pricing of financial derivatives in discrete time
• The first and second fundamental theorems for asset pricing (FTAP)
• Basic financial derivatives and products such as forwards and futures
• Black Scholes model in continuous time and the Black Scholes pricing formula
• Modelling of interest rate markets and pricing of interest rate derivatives

### Intended learning outcomes

After completion of the course the student should be able to:

• formulate and motivate basic concepts and results within mathematical finance and describe relations between them.
• apply basic concepts, methods and results within mathematical finance in order to model and analyse models of financial markets.
• apply basic concepts, methods, and results within mathematical finance in order to adequately price financial derivatives.

## Literature and preparations

### Specific prerequisites

English B / English 6
Completed basic course in probability theory and mathematical statistics (SF1918, SF1922 or equivalent).

### Recommended prerequisites

Advanced course in probability theory (SF2940 or equivalent)

### Equipment

No information inserted

### Literature

No information inserted

## Examination and completion

If the course is discontinued, students may request to be examined during the following two academic years.

A, B, C, D, E, FX, F

### Examination

• TEN1 - Examination, 7.5 credits, grading scale: A, B, C, D, E, FX, F

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

### Opportunity to complete the requirements via supplementary examination

No information inserted

### Opportunity to raise an approved grade via renewed examination

No information inserted

### Ethical approach

• All members of a group are responsible for the group's work.
• In any assessment, every student shall honestly disclose any help received and sources used.
• In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.

## Further information

### Course room in Canvas

Registered students find further information about the implementation of the course in the course room in Canvas. A link to the course room can be found under the tab Studies in the Personal menu at the start of the course.

Mathematics

Second cycle