Forward Premium and Discount Quiz: Interest Rate Parity

A currency trades at a forward premium when its forward exchange rate is higher than the current spot rate, meaning it is expected to be worth more in the future than it is today. This typically occurs when the domestic country has lower interest rates than the foreign country, reflecting the interest rate parity relationship.

The answer is False. According to interest rate parity, a currency with a higher interest rate will typically trade at a forward discount, not a forward premium. The higher return from the higher interest rate is offset by the expected depreciation of the currency, ensuring no risk-free profit exists from investing across currencies using a forward contract.

Since the forward rate of 1.08 dollars is lower than the spot rate of 1.10 dollars, the euro will be worth fewer dollars in the forward market than today. This means the euro is trading at a forward discount against the dollar, which typically indicates that the eurozone has higher interest rates than the United States.

Interest rate parity states that a currency with a higher interest rate must trade at a forward discount to offset the advantage of the higher return. If the pound offers higher interest rates, its forward rate will be set below its spot rate, ensuring investors cannot earn a risk-free return by simply shifting funds into the higher-yield currency.

The answer is True. The forward premium or discount reflects the interest rate differential between two countries. According to covered interest rate parity, a country with lower interest rates will have its currency trade at a forward premium, while a country with higher interest rates will see its currency trade at a forward discount, balancing the return difference for investors.

A forward premium exists when the forward rate exceeds the spot rate, suggesting the currency is expected to strengthen. It arises when the counterpart country carries a higher interest rate, creating the parity relationship. Both premium and discount are measured relative to the current spot rate, making it the baseline for all forward rate comparisons.

The annualized forward premium or discount is calculated by taking the difference between the forward rate and the spot rate, dividing by the spot rate, and then adjusting for the time period to express it on an annual basis. This allows direct comparison with the interest rate differential to verify whether interest rate parity holds.

The answer is False. A forward discount means the forward rate is lower than the current spot rate, indicating the currency is expected to depreciate, not appreciate, relative to the other currency by the settlement date. The forward discount signals the market expects the currency to weaken in value over the duration of the forward contract.

Since Country B has a higher interest rate of 5 percent compared to Country A's 2 percent, interest rate parity requires Country B's currency to trade at a forward discount. The expected depreciation of Country B's currency offsets the higher return, eliminating any risk-free profit from simply investing in the higher-interest-rate country.

When a foreign currency trades at a forward premium, its forward rate is higher than the current spot rate. This means a domestic company buying that currency through a forward contract will pay more per unit than today's spot rate. The forward premium directly increases the cost of securing the foreign currency for future use.

Interest rate parity is the foundation of the forward premium and discount relationship. When a country has lower interest rates, its currency trades at a forward premium; when it has higher rates, its currency trades at a forward discount. This parity condition ensures that arbitrage profits are not available from shifting funds between different currency-denominated investments.

The answer is False. A forward premium on a currency indicates the domestic country has a lower interest rate than the foreign country, not a higher one. Because the domestic interest rate is lower, the domestic currency must trade at a forward premium to offset the return advantage investors would otherwise gain by investing in the higher-yielding foreign currency.

Because forward premiums and discounts are driven by interest rate differentials, a narrowing gap between two countries' interest rates will reduce the size of the forward premium or discount. As the interest rate difference shrinks, the adjustment required to maintain interest rate parity becomes smaller, bringing the forward rate closer to the spot rate.

If the forward premium is 2 percent but the interest rate differential only justifies a 1 percent premium, the forward rate is out of line with interest rate parity. This inconsistency suggests a potential arbitrage opportunity, where traders could profit until prices adjust and covered interest rate parity is restored in the market.

In efficient foreign exchange markets, covered interest rate parity ensures that higher returns from high-interest-rate currencies are cancelled out by their forward discounts. Active arbitrage traders quickly exploit any deviation, increasing demand for undervalued currencies and adjusting forward rates until parity is fully restored and no risk-free profit remains available.