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Titlebook: Market-Consistent Prices; An Introduction to A Pablo Koch-Medina,Cosimo Munari Textbook 2020 Springer Nature Switzerland AG 2020 arbitrage

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978-3-030-39722-7Springer Nature Switzerland AG 2020
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Conditional Linear Functionals,is given to conditional functionals that are linear. From a mathematical point of view, this and the following chapter on extensions of conditional linear functionals are more demanding than the previous ones, but a careful reading will pay dividends when we study pricing functionals in multi-period models.
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Random Variables: Linearity and Order, first need to develop the basic mathematics to model uncertainty. This chapter is devoted to introducing the notion of a ., corresponding to the set of possible outcomes of a situation of uncertainty, and of a ., a quantity that is contingent on those outcomes. We equip the set of random variables
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Random Variables: Topology and Geometry, measure is specified, one can define a family of norms, the so-called ., on the space of random variables. One of these norms, namely the 2-norm, arises from an inner product. This additional structure allows us to introduce a variety of powerful topological notions such as . and ., as well as geom
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