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Master%20of%20Science%20in%20Financial%20Mathematics%20and%20Stastistics

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Title: Master%20of%20Science%20in%20Financial%20Mathematics%20and%20Stastistics


1
Master of Science inFinancial Mathematics and
Stastistics
  • Orientation Session, Fall 2009

2
Welcome!
3
What Make this Program Distinguished?
  • Derivative modeling
  • Equity
  • Fixed income
  • Credit
  • Inflation
  • Hybrid and structured products
  • Risk Management
  • Financial economics

4
Teaching Staff from UST
  • Prof. Yue-Kuen Kwok, Financial Mathematics
  • Prof. Qi-Man Shao, Probaility
  • Prof. Bin-Yi Jing, Probability
  • Prof. Kani Chen, Statistics
  • Prof. Man-Yu Wong, Statistics
  • Prof. Shi-Qing Ling, Statistics
  • Prof. Mike So, Statistics
  • Visiting Prof. Jerome Yan, Finance
  • Dr. Mei-Choy Chiu
  • Prof. Lixin Wu, Financial Mathematics

5
Teaching Staff from Outside
  • Dr. Chun-De Shum (former senior VP of JP Morgan),
    Quant Programmer
  • Prof. Harry Zheng (Imperial College), Financial
    Mathematics
  • Prof. M. Dai (NUS), Financial Mathematics
  • Prof. M. Kijima (Kyoto Univ.), Financial
    Mathematics and Applied Economics
  • Dr. S.Y. Leung (Citigroup)
  • Dr. Bon Ho (Macquaire)
  • Mr. Y.F. Lam (HSBC)
  • Mr. G.X. Wu (Essense Security)

6
Regulations for Course Taking
  • Full-time students are advised to take no more
    than four courses per semester
  • Part-time students should take nor more than two
    courses, or he/she should change to full-time
    mode (The change of mode can only be made once).

7
Degree Requirement 30 credits and a B or better
GPA
  • Category of courses
  • 6 credits from the list of foundation courses
  • 9 credits from the list of courses in financial
    mathematics
  • 9 credits from the list of courses in statistics
  • 6 credits as free electives
  • A graduation GPA of B or above.
  • For other information, please visit Program
    webpage.

8
A Complete List of Courses
  • Courses of the MSc Program
  • Courses of Mathematics of Fall Semester

9
Courses for Fall 2009
  • MAFS 501 Stochastic Calculus (B.Y. Jing)
  • MAFS 511 Advanced Data Analysis with Statistical
    Programming (M. So)
  • MAFS 524 Software Development with C for
    Quantitative Finance (C.D. Shum)
  • MAFS 601B Financial Derivatives and Martingale
    Pricing Theory (M.C. Chiu)

10
Course of Spring 2010
  • MAFS 513 Quantitative Analysis of Financial Time
    Series (SQ Ling)
  • MAFS 522 Quantitative and Statistical Risk
    Analysis (Y.F. Lam, G. Wu and L. Wu)
  • MAFS 601A Volatility Derivatives and Structured
    Products (Y.K. Kwok, B. Ho, J. Yen), or
  • MATH 572 Interest Rate Models (L. Wu)
  • MATH 685A Mathematical Models of Financial
    Economics (Y.K. Kwok)
  • MATH 685B Volatility Smile Modeling (L. Wu)

11
Courses for the 1st Summer Session of 2010
  • MAFS 523 Advanced Credit Risk Models (H. Zheng)
  • MAFS 525 Computational Methods for Pricing
    Structured Products (YK Kwok)

12
Courses for the 2nd Summer Session of 2010
  • MAFS 502 Advanced Probability and Statistics (MC
    Chiu)

13
An Interdisciplinary Program
  • Three corner stones

Probability Statistics Stoch. Analysis PDE Numer.
Anal.
Economics Finance Financial markets Business
C, Java, VBA, Pearl, R, database management
Financial Economics
Mathematics
IT skills
14
Job RelatedIssues
15
Types of Institutions
  • Investment banks
  • Hedge funds
  • Asset management companies
  • Securities firms
  • Insurance companies
  • Commercial banks

16
Targeted Professions
  • Derivatives traders
  • Quantitative programmers
  • Sales of financial instruments
  • Software developers
  • Quantitative analysts
  • Quant for trading desks
  • Quant for middle and back offices
  • Risk analysts/managers
  • Statistical analysts

17
Where Our Students Work?
  • Citigroup, Merrill Lynch, Societie General, DBS,
    Nomura, Macquarie, Credit Lyonnais Security Asia,
    Athbest Financial Groups, Hang Seng Bank, CITIC
    KA Wah Bank, Clayons
  • Moody(??),??, ??, ??, ???, ??

18
Job Information
  • The contacts between the program and the industry
  • Student Affair Office
  • Internet job sites
  • Jobs in Finance
  • Financial Analysis Jobs
  • Jobs Finance
  • 51job
  • chinahr ????!
  • www.zhaopin.com
  • www.chinabond.com.cn

19
For Non-local Students
  • Mainland students can stay in Hong Kong for up to
    a year after graduation.
  • Internship for this one-year program is
    discouraged by both University and Immigration
    Department.

20
About Internship
  • Yet students under student visa can still apply
  • Such internship is limited to a maximum of 20
    hours/week, and the interns have to take course
    with at least 9 credits

21
Questions?
  • Thank you for your attentions!

22
Course Description
  • MAFS 501 Stochastic Calculus
  • Random walk models. Filtration. Martingales. 
    Brownian motions Diffusion processes. Forward and
    backward Kolmogorov equations. Ito's calculus.
    Stochastic differential equations.  Stochastic
    optimal control problems in finance.

23
  • MAFS 511 Advanced Data Analysis with Statistical
    Programming
  • Data analysis and implementation of statistical
    tools in a statistical program, like SAS, R, or
    Minitab.  Topics reading and describing data,
    categorical data and longitudinal data,
    correlation and regression, nonparametric
    comparisons, ANOVA, multiple regression,
    multivariate data analysis.

24
  • MAFS 524 Software Development with C for
    Quantitative Finance
  • This course introduces C with applications in
    derivative pricing.  Contents include abstract
    data types object creation, initialization, and
    toolkit for large-scale component programming
    reusable components for path-dependent options
    under the Monte Carlo framework. Background
    Prior programming experience

25
  • MAFS 601B Financial Derivatives and Martingale
    Pricing Theory
  • Black-Scholes-Merton framework, dynamic hedging,
    replicating portfolio. Martingale theory of
    option pricing, risk neutral measure. Exotic
    options barrier options, lookback options and
    Asian options. Free boundary value pricing
    models American options, reset options.

26
  • MAFS 513 Quantitative Analysis of Financial Time
    Series
  • Analysis of asset returns autocorrelation,
    predictability and prediction.  Volatility
    models GARCH-type models, long range
    dependence.  High frequency data analysis
    transactions data, duration.  Markov switching
    and threshold models.  Multivariate time series
    cointegration models and vector GARCH models.
    Background Entry PG level MATH

27
  • MAFS 521 Mathematical Models of Investment
  • Utility theory, stochastic dominance.  Portfolio
    analysis mean-variance approach, one-fund and
    two-fund theorems.  Capital asset pricing
    models.  Arbitrage pricing theory. 
    Consumption-investment problems.

28
  • MAFS 522 Quantitative and Statistical Risk
    Analysis
  • Various risk measures such as Value at Risk and
    Shortfall Risk.  Coherent risk measures.  Stress
    testing, model risk, spot and forward risk. 
    Portfolio risks.  Liabilities and reserves
    management.  Case studies of major financial
    losses.

29
  • MATH 571 Mathematical Models of Financial
    Derivatives
  • Black-Scholes-Merton framework, dynamic hedging,
    replicating portfolio. Martingale theory of
    option pricing, risk neutral measure. Exotic
    options barrier options, lookback options and
    Asian options. Free boundary value pricing
    models American options, reset options.

30
  • MATH 572 Interest Rate Models
  • Theory of interest rates, yield curves, short
    rates, forward rates. Short rate models Vasicek
    model and Cox-Ingersoll-Ross models. Term
    structure models Hull-White fitting procedure.
    Heath-Jarrow-Morton pricing framework. LIBOR and
    swap market models, Brace-Gatarek-Musiela
    approach. Affine models.

31
  • MATH 600 Volatility Smile Modeling
  • The mechanism of volatility smile/skew. Pros and
    cons of local volatility diffusion model.
    Dynamics of jump and stochastic volatility. Levy
    framework. Affine models. Models of stochastic
    volatility Hestons model and SABR model.

32
Courses for the 1st Summer Session of 2010
  • MAFS 523 Advanced Credit Risk Models (H. Zheng)
  • MAFS 525 Computational Methods for Pricing
    Structured Products (YK Kwok)

33
Course Descriptions
  • MAFS 523 Advanced Credit Risk Models
  • Credit spreads and bond price-based pricing. 
    Credit spread models.  Recovery modeling. 
    Intensity based models.  Credit rating models. 
    Firm value and share price-based models.
    Industrial codes KMV and Credit Metrics. 
    Default correlation copula functions.

34
  • MAFS 525 Computational Methods for Pricing
    Structured Products
  • Computational methods for pricing structured
    (equity, fixed-income and hybrid) financial
    derivatives products.  Lattice tree methods. 
    Finite difference schemes.  Forward shooting grid
    techniques.  Monte Carlo simulation.  Structured
    products analyzed include Convertible
    securities Equity-linked notes Quanto currency
    swaps Differential swaps Credit derivatives
    products Mortgage backed securities
    Collateralized debt obligations Volatility
    swaps. Background Entry PG level MATH

35
Courses for the 2nd Summer Session of 2010
  • MAFS 502 Advanced Probability and Statistics (MC
    Chiu)
  • Probability spaces, measurable functions and
    distributions, conditional probability,
    conditional expectations, asymptotic theorems,
    stopping times, martingales, Markov chains,
    Brownian motion, sampling distributions,
    sufficiency, statistical decision theory,
    statistical inference, unbiased estimation,
    method of maximum likelihood. Background Entry
    PG level MATH
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