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Prerequisite: B09.2405 or equivalent
This course has significantly lower mathematical requirement than B90.3323. Recommended is familiarity with basic concepts of calculus and matrix algebra (inverse, determinant, rank, etc.). All models discussed in this class are in discrete time with a finite probability space and motivated with examples.
TEXTBOOK:
"Introduction to Mathematical Finance: Discrete Time Models", by Stanley R. Pliska.
The following subjects will be introduced:
Arbitrage and risk neutral
probability measures
Valuation of contingent
claims
Conditional expectation
and martingales
Binomial models
American options
Forward and future prices
Bonds and interest rate
derivatives
Optimal investment/consumption
problems