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Course Name: The Quantitative Modeling of Intentional Investment 

Total credits: 3¡@¡@ Weekly classroom hours: 3

Department: BA                Class Room:

Is this course a semester Course?¡@Yes   elective Course?  Yes

 

Week

Unit

Points to be covered

1

03/01

Syllabus

Lecture 1

2

03/08
Discrete Pricing Models (I)

1. Discrete Multi-period Models

2. Binomial Trees

Lecture 2

3

03/15
Discrete Pricing Models (II)

1.Risk Neutral Measures

2. Discrete Martingales

Lecture 3-4

4

03/22
Continuous Stochastic Calculus (I)

1. Wiener Process (Brownian Motion)

2. Ito Integral and Ito Formula

3. Girsanov Formula

Lecture 6  Lecture 10

5

03/29
Continuous Stochastic Calculus (II)

1. Continuous Time Martingales

2. Martingale Representation Theorem

3. Ito Processes and PDEs

Lecture 5

6

04/05
National Holiday

(No Class)

7

04/12
Black--Scholes Theory (I)

1. Arbitrage Pricing

2. Black--Scholes Formulae

Lecture 7

8

04/19
Black--Scholes Theory (II)

1.Risk Neutral Measures

2. Numeraire Invariance

3. Market Completeness

9

04/26
Extensions of the Black-Sholes theory

1. Barrier Options

2. Currency Options

Lecture 8   Lecture 9

10

05/03

Mid-Term Paper

(No Class)

11

05/10

Stochastic Processes and Applications (1)

Note-1  Note-2

12

05/17

Stochastic Processes and Applications(2)

Note-3  Note-4

13

05/24

Stochastic Processesand Applications (3)

 Note-5  Note-6  Note-7

14

05/31
Real Options Approach (1)

Paper Reading:  International Business Fields

To be announced

15

06/07
Real Options Approach (2)

Paper Reading: International Business Fields

To be announced

16

06/14
Game Options Approach (1)

Paper Reading:  International Business Fields

To be announced

17

06/21
Game Options Approach (2)

Paper Reading: International Business Fields

To be announced

18

06/28

Final Paper

(No Class)

 Note: Some contents refer and cite from the website of Prof. S. Lalley,

only educational and research purposes for use, acknowledgement for Prof. Lalley. 

ªþµù: ¥»½Òµ{°Ñ¦Ò Professor Steve Lalley ºô­¶¤º®e,¬ÛÃö¤º®e§¡¬°±Ð¾Ç¬ã¨s¤§¥Î,¶È¦¹­PÁÂ.
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http://galton.uchicago.edu/~lalley/Courses/390/index.html

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Professor Steve Lalley
E-mail:
lalley@galton.uchicago.edu

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Note: Some contents refer and cite from the website of Prof. Marco Antonio Guimarães Dias,

only educational and research purposes for use, acknowledgement for Prof. Dias

ªþµù: ¥»½Òµ{°Ñ¦Ò Professor Marco Antonio Guimarães Dias ºô­¶¤º®e,¬ÛÃö¤º®e§¡¬°±Ð¾Ç¬ã¨s¤§¥Î,¶È¦¹­PÁÂ.

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http://www.puc-rio.br/marco.ind/

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Recommended Books:

S. Neftci . Introduction to the Mathematics of Financial Derivatives

J. C. Hull . Options, Futures, and Other Derivatives

Darrell Duffie (1996). Dynamic Asset Pricing Theory (2nd or later edition). Princeton U. Press.

J. M. Steele . Stochastic Calculus and Financial Applications

P. Billingsley . Probability and Measure

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µû¤À¼Ð·Ç:

½Ò°ó³ø§i 40%

§@·~ºt½m 40%

¥X®u²v 20%

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Office Hours:

    ¬P´Á¥|¤¤¤È9:00-12:00

Research Room:

    ¦@B322/ Phone: 8633051 or ¤º½u3051

e-mail:

    tjlin@mail.ndhu.edu.tw

    tyronelin@gmail.com

web site:

    http://www.ndhu.edu.tw/~tyrone/index.html