Final answer:
An increase in real interest rates on bank accounts in New York will likely lead to an appreciation of the U.S. dollar in terms of the euro, causing the exchange rate (euros per dollar) to increase. So the correct answer is option b.
Step-by-step explanation:
If real interest rates on bank accounts in New York increase, it will make savings in the United States more attractive compared to Paris, assuming all else is equal. As investors seek to capitalize on higher interest rates, demand for dollars will increase to deposit them in New York banks. This surge in demand leads to an appreciation of the U.S. dollar in terms of the euro.
Therefore, one would expect the euro to depreciate relative to the dollar, making the exchange rate (euros per dollar) increase. Using an example, imagine that the initial exchange rate is 0.8 euros per dollar. If real interest rates in New York rise, investors may need to convert their euros to dollars, thus increasing the demand for dollars. As the demand for dollars increases, you would expect the exchange rate to adjust to maybe 0.9 or 1 euro per dollar, depending on the market environment. Hence, the result would be an increase in the euros per dollar rate.
Conversely, if there was a decline in U.S. interest rates compared to the rest of the world, this would likely result in a decrease in the demand for dollars, an increase in the supply of dollars looking to be exchanged for other currencies, and hence a weakening of the dollar against the euro. An increase in the real interest rates on bank accounts in New York would likely cause the exchange rate (euros per dollar) to increase. When interest rates increase, it attracts more foreign investors who want to take advantage of the higher returns. This increased demand for dollars will drive up the value of the dollar relative to the euro, resulting in a higher exchange rate.