C++ Design Patterns and Derivatives Pricing Cambridge University Press | 2008-06-09 | ISBN: 0521721628 | 308 pages | PDF | 1,1 MB
This book is aimed at a reader who has studied an introductory book on mathematical finance and an introductory book on C++ but does not know how to put the two together. My objective is to teach the reader not just how to implement models in C++ but more importantly how to think in an object-oriented way. There are already many books on object-oriented programming; however, the examples tend not to feel real to the financial mathematician so in this book we work exclusively with examples from derivatives pricing.
We do not attempt to cover all sorts of financial models but instead examine a few in depth with the objective at all times of using them to illustrate certain OO ideas. We proceed largely by example, rewriting, our designs as new concepts are introduced, instead of working out a great design at the start. Whilst this approach is not optimal from a design standpoint, it is more pedagogically accessible. An aspect of this is that our examples are designed to emphasize design principles rather than to illustrate other features of coding, such as numerical efficiency or exception safety.
We commence by introducing a simple Monte Carlo model which does not use OO techniques but rather is the simplest procedural model for pricing a call option one could write. We examine its shortcomings and discuss how classes naturally arise from the concepts involved in its construction.
In Chapter 2, we move on to the concept of encapsulation – the idea that a class allows to express a real-world analogue and its behaviours precisely. In order to illustrate encapsulation, we look at how a class can be defined for the pay-off of a vanilla option. We also see that the class we have defined has certain defects, and this naturally leads on to the open–closed principle.
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