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Why will the dollar weaken when it cuts interest rates?
Cutting interest rates-which means monetary easing-means increasing liquidity-a lot of money is put in, and inflation depreciates.

Interest rate cut-interest rate yield falls-interest income cannot cover inflation-dollar assets flee-dollar is sold off and weakened.

Interest rate cuts-lower financing costs-a large amount of capital flows into high-interest currency arbitrage (or flows into active economies for investment)-and the dollar is weakened by selling.