Overview
The necessary mathematical techniques used in continuous-time finance, including stochastic calculus, partial differential equations and applied probability.
After completing this paper, one should be able to fully understand no-arbitrage theory, the Black-Scholes equation, risk-neutral probability and martingale. The purpose of this paper is to lay down a solid mathematical foundation for students to learn more advanced topics in financial engineering, such as exotic options, interest rate derivatives and credit risk models.
About this paper
| Paper title | Mathematical Finance |
|---|---|
| Subject | Finance |
| EFTS | 0.1667 |
| Points | 20 points |
| Teaching period | Semester 2 (On campus) |
| Domestic Tuition Fees ( NZD ) | $1,665.83 |
| International Tuition Fees | Tuition Fees for international students are elsewhere on this website. |
- Restriction
- FINC 405
- Eligibility
- Knowledge on derivatives securities and advanced calculus is required.
- Contact
- accountancyfinance@otago.ac.nz
- Teaching staff
- Professor Jin Zhang
- Teaching Arrangements
This paper is taught via lectures with in-class exercises.
- Textbooks
Textbooks are not required for this paper, but students will find the following reference books useful:
- Cerny, Ales, 2009, Mathematical Techniques in Finance: Tools for Incomplete Markets, Princeton University Press.
- McDonald, Robert L.,2013, Derivatives Markets, 3rd edition, Pearson.
- Course outline
- View the course outline for FINC 405
- Graduate Attributes Emphasised
- Communication, Critical thinking, Information literacy, Research, Self-motivation.
View more information about Otago's graduate attributes. - Learning Outcomes
Students who successfully complete this paper should:
- Understand the concept of Brownian motion, expectations and martingale
- Learn how to model stock and option prices and to derive a PDE for option price by using the no-arbitrage principle
- Learn how to solve the Black-Scholes equation
Overview
The necessary mathematical techniques used in continuous-time finance, including stochastic calculus, partial differential equations and applied probability.
After completing this paper, one should be able to fully understand no-arbitrage theory, the Black-Scholes equation, risk-neutral probability and martingale. The purpose of this paper is to lay down a solid mathematical foundation for students to learn more advanced topics in financial engineering, such as exotic options, interest rate derivatives and credit risk models.
About this paper
| Paper title | Mathematical Finance |
|---|---|
| Subject | Finance |
| EFTS | 0.1667 |
| Points | 20 points |
| Teaching period | Semester 2 (On campus) |
| Domestic Tuition Fees | Tuition Fees for 2027 have not yet been set |
| International Tuition Fees | Tuition Fees for international students are elsewhere on this website. |
- Restriction
- FINC 405
- Eligibility
Knowledge on derivatives securities and advanced calculus is required.
- Contact
- accountancyfinance@otago.ac.nz
- Teaching staff
- Professor Jin Zhang
- Paper Structure
Two 2-hour lectures each week.
- Teaching Arrangements
This paper is taught via lectures with in-class exercises.
- Textbooks
Textbooks are not required for this paper, but students will find the following reference books useful:
- Cerny, A. (2009). Mathematical Techniques in Finance: Tools for Incomplete Markets (2nd ed.). Princeton University Press.
- McDonald, R. L. (2012). Derivatives Markets (3rd ed.). Pearson.
- Graduate Attributes Emphasised
- Communication, Critical thinking, Information literacy, Research, Self-motivation.
View more information about Otago's graduate attributes. - Learning Outcomes
Students who successfully complete this paper should:
- Understand the concept of Brownian motion, expectations and martingale.
- Learn how to model stock and option prices and to derive a PDE for option price by using the no-arbitrage principle.
- Learn how to solve the Black-Scholes equation.