Smile transformation for price prediction

abstract-handwritten-mathematical-calculations-on-graph-paper

Petros Dellaportas and Aleksandar Mijatović
30 Apr 2014

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Intuitively, a set of implied volatilities IV_t(K_i, T), i = 1, . . . , n, allows arbitrage if and only if it is possible to trade (buy and sell) the corresponding contracts, at prices given by IV_t(K_i, T), i = 1, . . . , n, and follow a self-financing trading strategy on the foreign
exchange spot rate (buy and sell the underlying currencies) in such a way that at some future time the portfolio of options and the gains from the trading strategy in aggregate have a non-negative value with certainty

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