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Chapter 15. Valuation Framework
Compound interest is the greatest mathematical discovery of all time.
— Albert Einstein
This chapter provides the framework for the development of the DX library by introducing
the most fundamental concepts needed for such an undertaking. It briefly reviews the
Fundamental Theorem of Asset Pricing, which provides the theoretical background for the
simulation and valuation. It then proceeds by addressing the fundamental concepts of date
handling and risk-neutral discounting. We take only the simplest case of constant short
rates for the discounting, but more complex and realistic models can be added to the
library quite easily. This chapter also introduces the concept of a market environment
— i.e., a collection of constants, lists, and curves needed for the instantiation of almost
any other class to come in subsequent chapters.