Discrete Models of Financial Markets
Discrete Models of Financial Markets (Mastering Mathematical Finance) by Marek Capiński and Ekkehard Kopp
English | 2012 | ISBN: 110700263X , 0521175720 | 192 pages | PDF | 0,8 MB
English | 2012 | ISBN: 110700263X , 0521175720 | 192 pages | PDF | 0,8 MB
This book explains in simple settings the fundamental ideas of financial market modelling and derivative pricing, using the no-arbitrage principle. Relatively elementary mathematics leads to powerful notions and techniques - such as viability, completeness, self-financing and replicating strategies, arbitrage and equivalent martingale measures - which are directly applicable in practice.
The general methods are applied in detail to pricing and hedging European and American options within the Cox-Ross-Rubinstein (CRR) binomial tree model. A simple approach to discrete interest rate models is included, which, though elementary, has some novel features. All proofs are written in a user-friendly manner, with each step carefully explained and following a natural flow of thought. In this way the student learns how to tackle new problems.