Within the field of Financial Mathematics, the Fundamental Theorem of Asset Pricing consists of two statements, (e.g. [Shreve, 2004, Section 5.4]) Theorem: The Fundamental Theorem of Asset Pricing 1. A market admits no arbitrage, if and only if, the market has a martingale measure. 2. The martinagale measure is unique, if and only if, every contingent claim can be hedged. The theorem emerged between 1979 and 1983 ([Harrison and Kreps, 1979], [Harrison and Pliska, 1981],[Harrison and Pliska, 1983]) as Michael Harrison sought to establish a mathematical theory underpinning the well established Black-Scholes equation for pricing options. One remarkable feature of the Fundamental Theorem is its lack of mathematical notation, which is highlighted by the use of mathematical symbols in the Black-Scholes equation, which came out of economics. Despite its non-mathematical appearance, the work of Harrison and his collaborators opened finance to investigation by...

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