The University of Western Ontario 
Department of Statistical and Actuarial Sciences

Department of Statistical & Actuarial Sciences

 

 

 

 

Course Webpage for Statistical Sciences 4521G/FM 9521B

Winter 2014

Statistical Sciences 4521f/g – Advanced Financial Modelling

 

Description:  Continuous-time models, Brownian motion, stochastic integrals, Ito's lemma. Black-Scholes-Merton market model, arbitrage and market completeness, Black-Scholes PDE, risk-neutral pricing and martingale measures. Greeks and hedging, extensions of Black-Scholes model, implied volatility, American option valuation. Vasicek and Cox-Ingersoll-Ross interest rate models.  

Antirequisite(s):

Prerequisite(s):  A minimum mark of 60% in either Statistical Sciences 3520A/B (or the former Statistical Sciences 4520A/B) or Applied Mathematics 3613B and a minimum mark of 60% in Statistical Sciences 2857A/B.

3 lecture hours, 0.5 course.

 

NOTE: Before coming to each lecture, you are expected to check course updates below.

 

02 January 2014: COURSE OUTLINE

 

IMPORTANT DATES-Posting and Due Dates of Assignments

The pdf file of each particular assignment can be accessed and printed by

clicking the link to the assignment number. Solutions to assignments will be

posted within 3-4 days after the deadline. Please submit your assignments in

class by 13:20 of the due date.

Events

Posting Date

Due Date

Solutions

Assignment No.1

To download and print the marking scheme for Assignment #1, click   here.

23 Jan 2014

30 Jan 2014

Soln to Assgnmt1

Problems not required for submission

Problems required for submission (with TA marking guidelines)

 

GUIDELINES to request remarking of assignment and midterm exam papers

 

In class exam 1

 

Midterm Exam 1

TUESDAY, 11 Feb 2014, 7-9pm

Midterm Exam 1 Guidelines

 

VENUE: VAC (John Labatt Visual Arts Centre) 100

 

 

Soln Exam1 -- Copies of the solutions were distributed after the exam.

 

GUIDELINES to request remarking of assignment and midterm exam papers

Assignment No.2

To download and print the marking scheme for Assignment #2, click here.

 

25 Feb 2014

04 Mar 2014

Soln to Assgnmt2

Problems not required for submission

Problems required for submission (with TA marking guidelines)

 

GUIDELINES to request remarking of assignment and midterm exam papers

 

In class exam 2

 

Midterm Exam 2

TUESDAY, 18 Mar 2014, 7-9pm 

Midterm Exam 2 Guidelines

 

VENUE: VAC (John Labatt Visual Arts Centre) 100

 

 

Soln Exam2 -- Copies of the solutions were distributed after the exam.

 

GUIDELINES to request remarking of assignment and midterm exam papers

 

 

Assignment No.3

To download and print the marking scheme, click here.

 

 

27 Mar 2014

03 Apr 2014

Soln to Assgnmt3

Problems not required for submission

Problems required for submission

 

GUIDELINES to request remarking of assignment and midterm exam papers

 

Three-hour final exam

 

FINAL EXAM GUIDELINES

 

Time: 9AM-12PM

Date: SATURDAY, 26 April 2014 VENUE: ssc 3028

Coverage:

All lecture materials covered in the course.

 

 

 


UPDATES!!!

07 April 2014 NEW

o     Solutions to Assignment No.3 problems (required for submission) can now be downloaded from the link above.

o     Marked Assignment No.3 papers will be returned after the final exam on the 26th of April. Please submit remarking request (if applicable to your case) by the 30th of April. Remarking requests must be placed in an envelope addressed to the instructor. Please ask Jane Bai to put your remarking document in the instructor’s mailbox.

o     Lecture summary – Week of 24 - 28 March 2014 (LAST WEEK OF LECTURE ON Asian Option and Interest-Rate Modelling)

 

30 March 2014

o     FINAL EXAM GUIDELINES

o     Additional lecture material-1

o     Additional lecture material-2

 

29 March 2014

o     Solutions to Assignment No.3 problems not required for submission can now be downloaded from the link above.

o     PDF copy of Assignment No. 3 along with the Marking Scheme can now be downloaded from the link above.

o     Topics to be covered – Week of 24 - 28 March 2014

o     Lecture summary – Week of 17- 21 March 2014. See below.

20 Mar 2014 slide presentation

Summary -- Analysis of Asian options

         

14 March 2014

o     Topics to be covered – Week of 17- 21 March 2014

o     Lecture summary – Week of 10- 14 March 2014

         

08 March 2014

o     Topics to be covered – Week of 10- 17 March 2014

o     Lecture summary – Week of 03- 10 March 2014

         

05 March 2014 

o     Read carefully the Midterm Exam 2 Guidelines from the link above.

 

04 March 2014 

o     Solutions with marking scheme to Required Problems of Assignment No. 2 are now available from the link above.

 

01 March 2014 

o     Topics to be covered – Week of 03- 07 March 2014

o     Lecture summary – Week of 24- 28 February 2014

         

26 February 2014

o     Solutions to Assignment No.2 problems not required for submission can now be downloaded from the link above.

 

25 February 2014

o     Assignment No. 1 and the accompanying marking scheme can now be downloaded from the link above.

 

16 February 2014

o     Topics to be covered – Week of 24- 28 February 2014

o     Lecture summary – Week of 10 -14 February 2014

 

08 February 2014

o     Excel spreadsheet for the Heston Model

o     Topics to be covered – Week of 10- 14 February 2014

o     Lecture summary – Week of 03 -07 February 2014 [Note: You are encouraged to include this lecture summary in your review for Midterm Exam 1. It contains some materials discussed on Tuesday (04 Feb) that are part of the midterm exam coverage.]

 

04 February 2014 

o     Excel spreadsheet for Black-Scholes option pricing and calculation of “Greeks”

o     Excel spreadsheet on Monte-Carlo simulation

 

01 February 2014 

o     Read carefully the Midterm Exam 1 Guidelines from the link above.

o     Venue of midterm exams: VAC (John Labatt Visual Arts Centre) 100

o     Topics to be covered – Week of 03- 07 February 2014

o     Lecture summary – Week of 27 -31 January 2014

 

31 January 2014

o     Solutions with marking scheme to Required Problems of Assignment No. 1 are now available from the link above.

 

25 January 2014 

o     Solutions to Assignment No.1 problems not required for submission can now be downloaded from the link above.

o     Topics to be covered – Week of 27- 31 January 2014

o     Lecture summary – Week of 20 -24 January 2014

 

23 January 2014

o     Assignment No. 1 and the accompanying marking scheme can now be downloaded from the link above.

o     Lecture summary – Week of 13-17 January 2014

 

19 January 2014 

o     Topics to be covered – Week of 20-24 January 2014

o     Lecture summary – Week of 13-17 January 2014

o     Random Walk simulation in  Excel

o     Portraits of mathematicians and financial economists with

pioneering contributions to the study of financial mathematics

Source credits: Pictures and other pertinent info are courtesy of Wikipedia.

Certain info mentioned in the lecture were taken from the MacTutor History

of Mathematics Archive maintained by the University of St Andrews, Scotland.

URL:   http://www-history.mcs.st-and.ac.uk/   

 

11 January 2014

o     Topics to be covered – Week of 13-17 January 2014

o     Lecture summary – Week of 06-10 January 2014

 

09 January 2014 

o     PDF copy of the slide presentation on 09 January 2013.

 

02 January 2014 

o     A pdf copy of the Course Outline can be downloaded from the above link.


 

 

 

 

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