Yue-Kuen KWOK

Professor &  
Program Director
of MSc in Mathematics (Financial Mathematics and Statistics)
 
   
Recent published and working papers in Financial Mathematics
Books
Course materials

- MAFS521

- MAFS522

- MAFS523

- MAFS525

- MATH246

- MATH304

- MATH362

- MATH392L

- MATH 571

- MATH685R

- FINA556

- FINA690K

- Investment Science and Portfolio Analysis

Orientation Presentations

MSc brief 2008

SAO

Hall One

MAEC 08

Research seminars

Industrial courses (brochures)

Articles in Derivatives Week and Enclopedia of Financial Engineering and Risk Management
 

 

   

 

Qualifications and Professional Experiences

1.    Bachelor Degree
          Mechanical Engineering, Hong Kong University, 1980
2.    Master Degree
          Applied Mathematics, Brown University, 1983
3.    Doctoral Degree
          Applied Mathematics, Brown University, 1985

Research Interests:

Financial mathematics; Derivatives pricing theory; Credit risk theory

 

Books:  (To the top)

Y.K. Kwok 1998
Mathematical Models of Financial Derivatives, 386 pages, published by Springer.
Preface
Table of content
Y.K. Kwok 1998 Derivatives markets in Hong Kong, 168 pages (in Chinese), published by Ming Pao Publishers
Preface
Table of content
Y.K. Kwok 2002
Applied Complex Variables for Scientists and Engineers, 404 pages, published by Cambridge University Press.
Preface
Table of content

Teaching courses (To the top)


Summer 2007

MAFS521
 
Mathematical Models of Investment Course Outline (To the top)
Lecture Note Topic One
Topic Two
Topic Three
Topic Four
Topic Five
Homework set Homework One Solution
Homework Two Solution
Homework Three
Homework Four
Reading Assignment
Reading material
CDO papers JP Morgan - CDO Handbook
Nomura - CDOs -Squared Demystified
Benoit Metayer - CDO2, Correlation, Overlap and Subordination
Standard & Poors - Synthetic CDO Squared Transactions
Reading assignment on CDO-squared

 

 

 

Spring 2007

MATH 304
 
Complex Analysis Course Outline (To the top)
Lecture Note Topic One
Topic Two
Topic Three
Topic Four
Topic Five
Topic Six
Homework set Homework One Solution
Homework Two Solution
Homework Three Solution
Homework Four Solution
Homework Five Solution
Homework Six Solution
Test One Solution
Test Two Solution
Final Examination Solution

Past tests and examination
Year 2006 Test One Solution
Test Two Solution
Final Examination Solution

 

 


Fall 2006      
FINA 690K Structured Products and Exotic Options Course Outline (To the top)
Topic One: Callable bonds and structured notes

1.1  Callable bonds
1.2  Structured notes
1.3  Equity-linked products - Asian examples
Topic Two: Convertible bonds

  2.1  Convertible bonds as an asset class 2.1 Convertible bonds as an asset class (ppt format)  
  2.2  Analytics of convertible and structured convertibles 2.2  Analytics of convertible and structured convertibles (ppt format)  
Topic Three: Asset backed securities    
  3.1 Total return swap 3.1  Exotic swaps (ppt format)  
  3.2  Mortgage backed securities 3.2  Mortgage backed securities (ppt format)  
Topic Four: Asset backed securities

Portfolio credit derivatives - correlation product

Homework set:

HW1 Solution to HW1 due on Sept. 30, Saturday
HW2 Solution to HW2 due on Oct. 21, Saturday
     
First reading assignment - convertible bonds due on Sept. 30, Saturday
Second reading assignment - CDO due on Oct. 28, Saturday
     
Test 1    
Test 2    

 


Fall 2005

Dynamic Credit Models and Portfolio Risk Analysis    
Topic 1 Dynamic risk models    
Topic 2 Default correlation    
Topic 3 Modeling default of single name    
Topic 4 Portfolio credit derivatives    

 

Fall 2005      
Investment Science and Portfolio Analysis Course Outline (To the top)
Topic 1 Optimal investment strategy - log utility criterion    
Topic 2 Utility functions    
Topic 3 Decision making under uncertainty    
Topic 4 Portfolio theory    
Topic 5 Capital asset pricing model and factor models    
Topic 6 Investment, consumption and endowment    
Topic 7 Real option of investment decisions    

 

 

Homework set:

HW1 HW 1 Solution  
HW2 HW2 Solution  
HW3    
HW4    
HW5    
HW6    
Reading Assignment  




Spring 2005
MATH 685R Credit risk: Models, pricing and implementation Course Outline (To the top)
Topic One: Nature of credit risk and credit derivatives

Default risk and spread risk
  Product nature of credit derivatives
  Bond price based and hedge based pricing of credit derivatives
Topic Two: Structural models

Merton's firm value model
  Extensions of the structural approach to the pricing of risky debts
  Counterparty risks of swaps
  Industrial implementation: KMV model
  Debt negotiation models and optimal capital structure
  Default correlations using structural approach
Topic Three: Mathematical preliminaries for the construction of intensity processes

Pricing of defaultable claims using the intensity approach
  Default correlation - binomial models
  Copula approach for modeling default dependency

Homework set:

HW1 Assignment 1  
HW2 Assignment 2  
HW3    
HW4    

MATH 246 Probability and Random Processes Course Outline (To the top)
 
Topic One: Basic concepts of probability theory

LECT1A  

LECT1B 

LECT1C 

Worked Examples
  Review
Topic Two: Single random variables

LECT2A

LECT2B

LECT2C

LECT2D

Worked Examples
  Review
Topic Three: Multiple random variables

LECT3A

LECT3B

LECT3C

Worked Examples
  Review
Topic Four: Random processes

LECT4A

LECT4B

LECT4C

Worked Examples
  Review

Homework set:

HW1 solution to HW1  
HW2 solution to HW2  
HW3 solution to HW3  
HW4 solution to HW4  

Past test and examination papers (To the top)
 
Fall 1999 mid-term test & solution
 
Fall 2001 mid-term test & solution
  final examination
Fall 2002 test one & solution
  test two & solution
  final examination
Fall 2003 test one & solution                 
  test two & solution      
  final examination & solution
Fall 2004 test one & solution
  test two & solution
  final examination & solution


 
 

Industrial courses (brochures) and research seminars: (To the top)

1. Basic interest rate and currency swap products
2. Exotic swap products
3. Derivatives with exotic embedded options
4. Equity-linked notes
5. Convertible bonds
6. Structured convertibles
7. Investors of convertibles: Hedging and arbitrage
8. Forward Shooting

 
 

Articles in Derivatives Week and Enclopedia of Financial Engineering and Risk Management

American currency forward

Interaction of the conversion and call rights

Shout options

Double barrier options

Compound options

Credit risk of swaps
 
 
Email:  maykwok@ust.hk
Fax number: (852) 2358 1643
Tel. number: (852) 2358 7418


Department of Mathematics
Hong Kong University of Science and Technology
Clear Water Bay
Hong Kong, China