Faculty of Economics, <strong>Keio</strong> <strong>University</strong>Climate change law is a showcase where we see a number of examples of practicalapplication of principles and policy instruments. Studying history and structure ofthe United Nations Framework Convention on Climate Change and the KyotoProtocol, the lecture examines how these two climate agreements and nationalregulations implementing these agreements apply principles and policy instrumentsactually.5. Environmental damage, liability and responsibilityThe lecture surveys legal rules on liability and responsibility <strong>for</strong> environmentaldamage caused by activities of economic actors.6. International business activities and environmental lawThe course surveys international environmental regulations on business activities inoversea market and <strong>for</strong>eign investment and examine related legal problems.Evaluation Method:Class participation (50%) and final exam (50%)Course requirements:All students are expected to attend every class, do the assignedreading, and participate actively in discussions.Reference Books:・Philippe Sands, Principles of International Environmental Law, Second edition,Cambridge <strong>University</strong> Press (2003).・Patricia Birnie, Alan Boyle and Catherine Redgwell, International Law & theEnvironment, Third edition, Ox<strong>for</strong>d <strong>University</strong> Press (2009).・Patricia Birnie & Alan Boyle, Basic Documents on International Law & theEnvironment, Ox<strong>for</strong>d <strong>University</strong> Press (1996).・Japan Environmental Council ed., The State of the Environment in Asia 2006/2007(Springer-Verlag Tokyo, 2009)*Other materials will be in<strong>for</strong>med in the class.INTRODUCTION TO FINANCE(<strong>PCP</strong>)Instructor: Yasuo Maeda, ProfessorCourse Description:The course provides a modern portfolio theory and a basic option pricing theory. First,we prepare mathematical preliminaries. In particular, we deal with a basic concept of aprobability theory. Second, we study a modern portfolio theory. Topics covered in thissection include the mean-variance portfolio analysis, the CAPM. Finally, a basic theoryof option pricing models is discussed by dealing with one-period binomial optionpricing models. Especially, we study meanings of important terms, <strong>for</strong> examplearbitrage, hedging, martingale probability and so on. The course also covers the<strong>PCP</strong> <strong>Syllabus</strong> 6
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
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