Quantitative Modeling of Derivative Securities : From Theory To Practice

ISBN-13: 9781584880318 / Angielski / Twarda / 1999 / 336 str.

Marco Avellaneda; P. Laurence; M. Avellaneda

Opis

Using a financial-engineering approach, this volume demonstrates how to take the basic ideas of arbitrage theory and apply them to the design and analysis of financial products. It develops the theory progressively, focusing on specific relations between financial instruments in the cash, forward and options markets. The authors describe the nuances between theoretical and practical uses of mathematical models in day-to-day trading, and discuss specific risks, like pin risk and stop-loss risk, and their relation with dynamical hedging and mathematical models.

Recenzje

"This fine treatment of the arbitrage pricing of derivatives will become a standard. Avellaneda and Laurence have brought their extensive combined knowledge in [a treatment] mathematics that financial analysts will find both concrete and authoritative."
-Darrell Duffie, Professor of Finance, Graduate School of Business, Stanford University

"I learned a great deal of what I know of mathematics finance from Marco Avellaneda - and I know I will learn a lot more. Not only is he a great scholar, but he is a superb pedagogue, capable to cut to the chase and avoid needless complications - with the ease and simplicity of those who truly master the subject. I am glad this book by Avellaneda and Laurence is out so more people can share his knowledge."
-Nassim Taleb, Trader, Paribas Capital Markets

"Written by two of the field's leading experts, this book stands out from the crowd of recent books on derivatives pricing theory. I recommend it to anyone interested in this fascinating field."
-Peter Carr, Principal, Bank of America Securities

"This is a textbook, though it contains no exercises, on the theory underlying the modeling and risk management of financial derivatives. The authors attempt to link theory with practice, not flinching from pointing out that the theory does no have all the answers. The mathematical style is informal, assuming an understanding of linear algebra and elementary probability, but not requiring a grasp of measure theory. It introduces stochastic calculus.

"Despite the recent publicity concerning how physics PhDs can find highly remunerative employment in this area, the authors point out that "financial modeling is very different from modeling in the natural sciences. Unlike physics, where we deal with reproducible experiments with well-defined initial conditions, the models and ideas presented in this book deal with phenomena for which we have only limited information and that are not necessarily reproducible

Spis treści

Arbitrage Pricing Theory: The One-Period Model
Binomial Option Pricing Model
Analysis of the Black-Scholes Formula
Refinements of the Binomial Model
American-Style Options and Time-Optionality
Trinomial Trees and Finite-Difference Schemes
Brownian Motion and Ito Calculus
An Introduction to Exotic Options
Ito Processes, Continuous-Time Martingales, and Girsanov's Theorem
Continuous-Time Finance: An Introduction
Valuation of Derivative Securities
Fixed-Income Securities and the Term-Structure of Interest Rates
The Heath-Jarrow-Morton Theorem and Multidimensional Term-Structure Model
Exponential-Affine Models
Interest-Rate Options
Appendix: The Intertemporal Discrete Model

O autorze

Marco Avellaneda, Peter Laurence