MA3607 COURSE CONTENT AND LECTURE NOTES

 

Differential Equations for Finance (MA3607)

 

 

The course will cover three areas

 

A.        Basic Options Theory

B.        Partial Differential Equations

C.        Numerical Methods

 

A more detailed course content list is here

 

MA3607  Course Content 2015 - 2016

 

The course will mostly follow Prof. P. Daniels’ lecture notes. The links to the course notes are given below.

 

  1. Differential Equations for Finance Notes 1

 

  1. Differential Equations for Finance Notes 2

 

  1. Differential Equations for Finance Notes 3

 

In addition I have written a few short notes on some parts of the course that students often find challenging as well as reminders of material covered last year. These notes have exercises which I would strongly encourage you to do.

 

Functions defined by integrals

 

Dirac delta function

 

Remedial Fourier

 

 

BOOKS

 

The course notes contain all the information you will need for this course. However, it is often a good idea to read other sources. On the second page of the notes A. above you will find four books which you may find useful. In addition, if you want to learn more about the “financial side” of things you may find “Options, Futures, and Other Derivatives” by John Hull (Pearson) useful.

 

 

 

COURSE ASSESSMENT CRITERIA

 

The course runs over 11 weeks; week 6 is reading week and there are no lectures then. Your final grade for the course will come from a weighted average of your exam (80% weight) and course work (20% weight). You need to get at least 40% on the coursework mark, and 40% on the exam mark to pass the course.

 

COURSEWORK COMPONENT of ASSESSMENT

 

There will be four short class tests during the course. These will take place between 1200 and 1210 on a Monday in the week indicated by T in the table below. Each test will be marked out of 5 marks, and will be based on material covered in the course up to that point. The four tests will together count for 10% of your final grade.

 

This year’s coursework questions are given below

 

MA3607 Coursework

 

The written work is to be handed in to the SMCSE UG office (A302) by 12 noon on the 23th of November. This is indicated by W in the table below. The written work will count for 10% of your final grade.

 

 

Lecture Dates

28/9 , 30/9

5/10, 7/10

12/10, 14/10

19/10, 21/10

26/10,  28/10

2/11, 4/11

9/11, 11/11

16/11, 18/11

23/11, 25/11

30/11, 2/12

7/12, 9/12

Week

1

2

3

4

5

6

7

8

9

10

11

Assessment

 

 

T

 

T

 

 

T

W

T

 

 

 

EXAM COMPONENT of ASSESSMENT

 

The exam will take place in January and will be two hours long. It will have four questions, each 20 marks, of which you have to answer 3. The exam will constitute 80% of your mark.

 

 

FEEDBACK

 

A description of the assessment and feedback for this course can be found in the file below

 

MA3607 Assessment Feedback form

 

 

 

 

PROBLEM SHEETS

 

Problem sheets for the course are given below. You should attempt to solve as many of these as you can.

 

FDE Problem Sheet 1

 

FDE Problem Sheet 2

 

FDE Problem Sheet 3

 

FDE Problem Sheet 1 Answers

 

FDE Problem Sheet 2 Answers

 

FDE Problem Sheet 3 Answers

 

 

 

PAST EXAM PAPERS AND SOLUTIONS

 

Past exam papers are available on the Moodle page for this course. Here are some solutions

 

FDE 2006 2007 Exam Answers

 

FDE 2008 2009 Exam Answers

 

FDE exam May 2013

 

Exam Solutions 2013