Objectives
The objective of the course is to provide the quantitative tools which are necessary to price a variety of derivative instruments and to hedge the often substantial risks that are involved in taking positions in derivatives. The course is very applied by nature, with a focus on models and techniques that are currently being used in practice. The techniques which are developed are applied to the most recently available data in a series of practical exercises.
Selected Topics
-Futures hedging when prices are non-stationary -Futures hedging with stochastic volatility -Diffusion models of interest rates -No-arbitrage models of interest rates -Two-factor models of interest rates -Pricing credit options -Uses and valuation of exotic derivatives -Valuation and hedging of swaps and swap derivatives -Pricing and hedging of collateralized mortgage obligations (CMO's)Representative Readings
Black, F., E. Derman, and W. Toy, 1990, "A one-factor model of interest rates and its application to treasury bond options," Financial Analysts Journal; Hull, J. and A.White, 1990, "Pricing interest rate derivative securities," The Review of Financial Studies ; Breeden, D. T., 1991, "Risk, return, and hedging of fixed-rate mortgages," The Journal of Fixed Income.
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