Course Solutions Uncategorized (Answered) : Problem 2 Suppose N Different Currencies Eg Us Dollars Euros Etc Pair Currencies J One Un Q32905025

(Answered) : Problem 2 Suppose N Different Currencies Eg Us Dollars Euros Etc Pair Currencies J One Un Q32905025

Problem 2 (a) Suppose that we have N different currencies (e.g., US Dollars, Euros, etc.). For each pair of currencies, (i,j), one unit of currency i can be exchanged into rij units of currency j. We wish to find an arbitrage opportunity if it exists, i.e., a sequential series of currency trades that allows us to make a profit with no risk. Formulate this as a min-cost flow problem and provide an LP with a bounded feasible polytope which solves it. Assume no transaction costs. (b) Can you find an arbitrage opportunity given the currency exchange rates in the 

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