الصفحة 1
الصفحة 1
Mathematics of Financial Markets
This book presents the mathematics that underpins pricing models for derivative securities, such as options, futures and swaps, in modern financial markets. The idealized continuous-time models built upon the famous Black-Scholes theory require sophisticated mathematical tools drawn from modern stochastic calculus. However, many of the underlying ideas can be explained more simply within a discrete-time framework. This is developed extensively in this substantially revised second edition to motivate the technically more demanding continuous-time theory, which includes a detailed analysis of the Black-Scholes model and its generalizations, American put options, term structure models and consumption-investment problems. The mathematics of martingales and stochastic calculus is developed where it is needed.
Mathematical Models of Financial Derivatives
Mathematical Models of Financial Derivatives is a textbook on the theory behind modeling derivatives using the financial engineering approach, focussing on the martingale pricing principles that are common to most derivative securities. A wide range of financial derivatives commonly traded in the equity and fixed income markets are analyzed, emphasizing on the aspects of pricing, hedging and their risk management. Starting from the renowned Black-Scholes-Merton formulation of option pricing model, readers are guided through the text on the new advances on the state-of-the-art derivative pricing models and interest rate models. Both analytic techniques and numerical methods for solving various types of derivative pricing models are emphasized.
Derivatives
Derivatives is the definitive guide to derivatives and derivative markets. Written by experts working with CFA Institute, this book is an authoritative reference for students and investment professionals interested in the role of derivatives within comprehensive portfolio management. General discussion of the types of derivatives and their characteristics gives way to detailed examination of each market and its contracts, including forwards, futures, options, and swaps, followed by a look at credit derivative markets and their instruments.
Commodity derivatives : Markets and applications
The second edition includes discussions of critical new topics like dual curve swap valuation, option valuation within a negative price environment using the Bachelier model, volatility skews, smiles, smirks, term structures for major commodities, and more. You’ll find case studies on corporate failures linked to improper commodity risk management, as well as explorations of issues like the impact of growing interest in electric vehicles on commodity markets.
A Course in Derivative Securities : Introduction to Theory and Computation
Aims at a middle ground between the introductory books on derivative securities and those that provide advanced mathematical treatments. It is written for mathematically capable students who have not necessarily had prior exposure to probability theory, stochastic calculus, or computer programming. It provides derivations of pricing and hedging formulas (using the probabilistic change of numeraire technique) for standard options, exchange options, options on forwards and futures, quanto options, exotic options, caps, floors and swaptions, as well as VBA code implementing the formulas. It also contains an introduction to Monte Carlo, binomial models, and finite-difference methods.
