APM 466 / MAT 1856

 

 

 

This is an introductory course to a variety of topics in Mathematical Finance; the objective of the course is to give students a broad view of the field. The themes developed in the course include bond and fixed income mathematics, asset and derivative pricing, credit risk, investments and hedge funds. The course is cross-listed as an undergraduate course and a graduate course. The course does not have a textbook; all material required to know is contained in the lecture notes below.

 

The TA for this course is Amanda Cui Cui Luo, and can be reached at cui.luo@mmf.utoronto.ca

 

New: The class for Wednesday Jan 25 has been rescheduled for Friday Jan 27, from 2 to 5 pm, at GB221.

 

Important note: There is a student in this class who requires a volunteer notetaker as an accommodation for a disability. By signing up and posting your notes, you can make a significant difference for this individualÕs capacity to fully participate in this course. Go to: http://www.studentlife.utoronto.ca/accessibility/pcourselist.aspx or come in person to Accessibility Services 215 Huron St. Suite 939.

 

Course outline

 

For assignment 1, students will need to access Canadian bond price data, which can be obtained in the link below:

 

Assignment tips:

 

-              You need to solve for the 1, 2, 3, 4 and 5 year rates. In other words, the yield curve should be written in terms of this rates only, interpolating linearly between these rates; you can also assume the curve to be constant for rates less than one year.

-              Many bonds can be used to solve for the curve; different choice of bonds will give rise to different curves; you just need to make sure that your curve is consistent with the bonds you choose; hence, you need to explain which bonds you decided to use for your assignment.

-              The assignment must have the form of a written essay: use your knowledge of the English language to write a coherent explanation of what you did, your steps, your sources of information, etc. Of course, you should also attach the charts and other deliverables of the assignment to your write up.

 

Links to Canadian Bond Prices

 

Assignment 1. Due Feb 8, 2012.

 

You can pick up the lecture notes below:

 

Interest rates

Fixed Income mathematics

Asset pricing

Option Pricing 

Swing Options

Risk Measures

Value-at-Risk

Credit Risk

Risk Management Exercises

Investment Risk Management - Hedge Funds

 

Past tests

 

Midterm 1, 2010.