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Answer: Covered interest rate parity holds, among other reasons, because the amount of currency that will be obtained from investing in either the domestic or the foreign currency is certain.
## Explanation **A is correct** - Covered interest rate parity holds because there is no uncertainty as to the amount of currency that will be obtained from investing in either the domestic or the foreign currency. This certainty comes from the use of forward contracts to lock in exchange rates. **B is incorrect** - Uncovered interest rate parity (UIRP) is not a no-arbitrage theorem. UIRP allows that exchange rates move for many different reasons and that investors should earn the same interest rate in all currencies after exchange rate movements are considered. This theorem has been seen to be violated many times in practice. **C is incorrect** - The ratio of interest rates in the formula has quote currency in the numerator and base currency in the denominator. The correct formula for forward rate calculation under covered interest rate parity is: \[ F = S \times \frac{(1 + r_{quote})}{(1 + r_{base})} \] where F is the forward rate, S is the spot rate, r_quote is the risk-free rate in the quote currency, and r_base is the risk-free rate in the base currency. **D is incorrect** - Forward points, expressed as a percentage of the spot rate, is approximately equal to the interest rate differential applied to time T under covered interest rate parity, not uncovered interest rate parity. Uncovered interest rate parity relates to expected future spot rates rather than forward rates.
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A risk manager at a bank is explaining foreign exchange rate parity concepts to a group of newly hired analysts. The manager describes the assumptions, formulas, and implications of the covered interest rate parity and uncovered interest rate parity theorems. Which of the following statements is correct regarding these theorems?
A
Covered interest rate parity holds, among other reasons, because the amount of currency that will be obtained from investing in either the domestic or the foreign currency is certain.
B
Uncovered interest rate parity is a no-arbitrage theorem that incorporates each country's inflation rate into the covered interest rate parity formula to predict future exchange rates.
C
Forward rates are found using the covered interest rate parity theorem by multiplying the spot rate by the ratio of 1 plus the risk-free interest rate in the base currency to 1 plus the risk-free interest rate in the quote currency raised to the time to maturity.
D
Forward points, when expressed as a percentage of the spot rate, can be used to determine the interest rate and inflation differential in uncovered interest rate parity.