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MATH 424 (Introduction to the Mathematics of Finance)



DESCRIPTION Introduction to the basic concepts in mathematical finance for undergraduate students with strong mathematical background. The focus is on mathematical methods in pricing of derivative securities, portfolio management and on related questions of mathematical finance.
PREREQUISITES Prerequisites: MATH 141; and either STAT 400 or BMGT 231.
Recommended: MATH 240, 241 or 246; and BMGT 343.
TOPICS From a recent course outline:
   A Random Walk Down the Wall Street
   Financial Markets and Instruments
   Interest Rates and Present Value Analysis
   Normal Distribution of Stock Returns
   Introduction to Option Pricing
   Capital Asset Pricing Model and Arbitrage Pricing Theory
   The Multi-period Binomial Model
   The Black-Scholes Option Pricing Formula and its Proof
   Applications of the Black-Scholes Formula
   Trading and Hedging of Options
   Utility Functions and Portfolio Theory
   Bond Mathematics
   Interest Rate Derivatives and Related Models
   Risk Measurement and Risk Management
 
NOTE ! The course BMGT 343 is an introduction to investments, covering the many investment instruments in use today. This course is not necessary for the mathematics of MATH 424, but BMGT 343 provides real-world context and motivation for MATH 424, and is a valuable course in its own right. BMGT 343 is available to non-BMGT majors only on a space available basis: in the summer, and in the academic year from hold files (after BMGT majors are served). BMGT 220-221-340 are prerequisites for BMGT 343, but students may take BMGT 343 (given space available as above) on a caveat-emptor basis without the prerequisites. Part of the reason for these three prerequisites to BMGT 343 is the need in BMGT to manage course sequencing for their majors; our experience is that a good student in math or the sciences can do well in BMGT 343 without the prequisites.

TEXT Text(s) typically used in this course.