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Lastly, the third chapter revisits the theoretical justifications for Bossaerts' (2004) ELM, with the goal of providing clear, intuitive proofs of the key results underlying the methodology. The seemingly biggest hurdle to garnering more widespread adoption of the ELM methodology is the confusion that surrounds the use of weighted modified returns when testing for rational asset pricing restrictions. I attack this hurdle by offering a transparent justification for this approach. I then establish how and why Bossaerts' results extend from the case of digital options to the more practically relevant class of all limited-liability securities, including equities. I conclude by showing that the ELM restrictions naturally lend themselves to estimation and testing of asset pricing models, using weighted modified returns, in a Generalized Method of Moments (GMM)