Assume that the price of currency A expressed in terms of the price of currency B follows

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Assume that the price of currency A expressed in terms of the price of currency B follows the process

dS = (rB – rA)S dt + σS dz

where rA is the risk-free interest rate in currency A and rB is the risk-free interest rate in currency B. What is the process followed by the price of currency B expressed in terms of currency A?

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