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One-year interest rates are 7.5% in the U.S. and 6.0% in New Zealand. The current spot exchange rate is NZD:USD 0.5500. If interest rate parity holds, today’s one-year forward rate (NZD:USD) must be closest to:

A)

NZD:USD 0.54233.

B)

NZD:USD 0.55778.

C)

NZD:USD 0.56675.



Interest rate parity is given by:

ForwardFCC = 0.5500 × (1.075/1.06) = NZD:USD 0.55778

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Given a forward exchange rate of 5 DC/FC, a spot rate of 5.102 DC/FC, domestic interest rates of 8%, and foreign rates of 10%, which of the following statements is CORRECT based on the approximation formula?

A)
Arbitrage opportunities exist.
B)
Borrow local currency and lend foreign currency.
C)
Arbitrage opportunities do not exist.


If (rD ? rF) is approximately equal to the forward premium, which is (Forward D/F) ? Spot(D/F) / Spot(D/F), then no arbitrage opportunities exist.

0.08 ? 0.10 ? (5 ? 5.102) / 5.102.

-0.02 ? -0.01999.

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Suppose the Argentina peso is at a 1-year forward premium of 4% relative to the Brazilian real and that Argentina’s 1-year interest rate is 7%. If interest rate parity holds, then the Brazilian interest rate is closest to:

A)
6.60%.
B)
3.00%.
C)
11.00%.


According to interest rate parity the currency with the lower interest rate is expected to appreciate so the Argentina rate of 7% is approximately 4% less than the Brazilian rate of 7 + 4 = 11%.

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Given the following information, what is the forward exchange rate implied by interest rate parity?

  • U.S. interest rate = 9%.
  • North Korea interest rate = 10%.
  • Spot rate = 1.65 KPW/$.

A)

1.665 KPW/$.

B)

0.612 KPW/$.

C)

1.635 KPW/$.



Forward rate (DC/FC) = Spot Rate (DC/FC) × [(1 + domestic rate) / (1 + foreign rate)],
Forward rate = 1 / 1.65 (KPW/$) × (1.09 / 1.10) = 0.60055 $/KPW, or 1.665 KPW/$.
Alternatively, forward rate = 1.65 (KPW/$) × (1.10 / 1.09) = 1.665 (KPW/$).

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Assume that the domestic nominal rate of return is 4% and the foreign nominal rate of return is 5%. If the current exchange rate is FCC 0.400, the forward rate consistent with interest rate parity is:

A)
0.396.
B)
0.400.
C)
0.318.


F/S= (1 + rD) / (1 + rF) where the currency is quoted as FCC
F = (1.04/1.05)(0.400) = 0.396

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