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1 | 1 | # derivatives
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2 |
| -Approximately based on [M. Joshi's C++ Design Patterns and Derivatives Pricing](https://www.amazon.com/Patterns-Derivatives-Pricing-Mathematics-Finance/dp/0521721628), making use of updated paradigms wherever possible. |
| 2 | +Approximately based on [M. Joshi's C++ Design Patterns and Derivatives Pricing](https://www.amazon.com/Patterns-Derivatives-Pricing-Mathematics-Finance/dp/0521721628), making use of updated paradigms wherever possible. |
3 | 3 |
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4 | 4 | *C++17* strongly recommended.
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5 | 5 |
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6 |
| -## dependencies |
7 |
| -[*cmake*](https://github.com/andleb/cmake) repository for the *CMake* scripts, included as a submodule. |
| 6 | +## Overview |
| 7 | +The project roughly follows the second edition of the aforementioned book, which was published in 2008. While the numerics and mathematics haven't changed, *C++* has gone through quite a bit of a revolution in the time since. Due to this fact, the original book includes some now archaic elements, such as a self-implemented smart pointer. All such were replaced with their modern equivalents. Some chapters do not correspond to a concrete problem and have been excluded; in others, the sub-problems have often been consolidated/handled in a more generic way. |
| 8 | + |
| 9 | +The code itself is separated into the driver/playground routines, located in *mains*, and the library, located in *src*. |
| 10 | +The *mains* correspond to each relevant chapter, look at the list of includes in each to follow along with the development of the library. The original book features a heavy evolution of concepts, especially in the first chapters. This has been compacted a bit in this project. |
| 11 | + |
| 12 | +#### Ch. 1 - 5: |
| 13 | +These perform *Monte-Carlo* pricing of various derivatives, with an increasing degree of software architecture. |
| 14 | + |
| 15 | +#### Ch. 6: |
| 16 | +This chapter implements custom random number generators and integrates them with the architecture developed in preceding chapters. |
| 17 | + |
| 18 | +#### Ch. 7: |
| 19 | +Deals with the pricing of exotic, more specifically, path-dependent, options via *Monte-Carlo* using all the preceding infrastructure. |
| 20 | + |
| 21 | +#### Ch. 8: |
| 22 | +Switches gears and introduces pricing on *trees* (or *lattices*). For this, I have developed a helper static recombinant tree class that is found in the *common* repository (see below). This allows us to price early-exercise options. |
| 23 | + |
| 24 | +#### Ch. 9: |
| 25 | +Deals with the concept of *implied volatility* and introduces two simple numerical root-finding routines. |
| 26 | + |
| 27 | +#### Ch. 10, 14: |
| 28 | +Introduce the factory pattern & apply it to the existing architecture. The latter improves on the former by making the factory completely generic. |
| 29 | + |
| 30 | +NOTE: I have stayed away from *C*-like input/output parameters and have replaced them with *rvalue* reference inputs that get moved into, modified in place, and returned by value (moved out). I feel that this syntax is clearer and also mirrors the approach popular *Python* numerics packages, such as *Pandas*, are taking with regards to in-place modification. There is also the added benefit of zero additional performance costs afforded to us by modern *C++*. |
| 31 | + |
| 32 | +## Dependencies & installation |
| 33 | +[*cmake*](https://github.com/andleb/cmake) repository for the *CMake* scripts; included as a submodule. |
8 | 34 |
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9 | 35 | [*common*](https://github.com/andleb/common) repository for utility classes & functions.
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| 36 | + |
| 37 | +The project is built via *CMake*. One can, of course, modify the *CMake* configuration at will or use one's own. |
| 38 | + |
| 39 | + |
| 40 | +## Authors |
| 41 | + |
| 42 | +Andrej Leban |
| 43 | + |
| 44 | +## Acknowledgments |
| 45 | +dr. Mark Joshi (RIP) |
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