This unit will introduce you to the mathematical theory of modern finance with the special emphasis on the valuation and hedging of financial derivatives, such as: forward contracts and options of European and American style. You will learn about the concept of arbitrage and how to model risk-free and risky securities. Topics covered by this unit include: the notions of a martingale and a martingale measure, the fundamental theorems of asset pricing, complete and incomplete markets, the binomial options pricing model, discrete random walks and the Brownian motion, the Black-Scholes options pricing model and the valuation and heding of exotic options. Students completing this unit have been highly sought by the finance industry, which continues to need graduates with quantitative skills. Students enrolled in this unit at advanced level will have to undertake more challenging assessment tasks, but lectures in the advanced level are held concurrently with those of the corresponding mainstream unit.
3x1-hr lectures; 1x1-hr tutorial/wk
2 x assignments; 2-hr final exam (80%)
MATH2X70 and MATH3975 may be taken in the same semester
A mark of 65 or above in 12cp from (MATH2XXX or STAT2XXX or DATA2X02)Prohibitions
MATH3933 or MATH3015 or MATH3075