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Covered Interest Rate Parity (CIP)

Forward rate equals spot rate adjusted for interest rate differentials.

Covered Interest Parity (CIP) is an arbitrage relationship: the forward exchange rate must equal the spot rate adjusted for interest rate differentials, otherwise arbitrage opportunities exist. Formula: F/S = (1 + r_domestic)/(1 + r_foreign). Example: If USD rates are 5% and EUR rates are 2%, EUR must trade at a 3% forward premium — otherwise you could borrow EUR at 2%, convert to USD, earn 5%, and lock in the future exchange rate via a forward, capturing risk-free profit. Covered means the FX risk is hedged with a forward. Empirical reality: CIP held tightly pre-2008 but broke down post-crisis due to bank balance sheet constraints, regulation, and cross-currency basis (the deviation from CIP).

Formula
FS=1+rd1+rf\frac{F}{S} = \frac{1 + r_d}{1 + r_f}