13.07.2015 Views

Professional Career Programme (PCP) Syllabus for ... - Keio University

Professional Career Programme (PCP) Syllabus for ... - Keio University

Professional Career Programme (PCP) Syllabus for ... - Keio University

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

Faculty of Economics, <strong>Keio</strong> <strong>University</strong>presentation or Mathematica implementation of the model used in Finance. To registerthis class, basic knowledge about microeconomics is required.Textbook: To be announced in class.Reference: To be announced in class.Course Outline:The following topics are covered:1. Randomness and random variable2. Expectation and variance3. Return and risk4. Mean-variance portfolio analysis5. CEPM6. Introduction to option pricing7. Hedging and arbitrage (one-period binomial model)8. Martingale probability9. Introduction to Mathematica10. Implementing mean-variance model by Mathematica11. Implementing numerical option pricing models by MathematicaEvaluation:Midterm Exam 25%, Final Exam 50%, Homework 25%Question & Consultation:By E-mail.ADVANCED FINANCE(<strong>PCP</strong>)Lecturer: Hideatsu Tsukahara, Part-time LecturerCourse Description :The course, which is the sequel to Introduction to Finance, deals mainly with the assetpricing theory in multiperiod setting. The single period binomial model is first reviewedand then we look at the multiperiod binomial model. The mathematical setup <strong>for</strong>analyzing the binomial model is the coin toss space (finite probability space). Afterreviewing the basic concepts such as random variables, distributions, and expectationson this space, we define and examine the key concept of conditional expectation. Thenwe study two important stochastic processes, namely martingales and Markov processes.A little specialized topic of American-type derivative securities is considered in thebinomial model. Stopping times and related concepts are studied carefully, and thepricing of general American-type derivatives, including American call options, isdiscussed. Finally, the renowned Black-Schooles <strong>for</strong>mula is derived, perhaps a bit<strong>PCP</strong> <strong>Syllabus</strong> 7

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!