In a large open economy, if an import quota is adopted, then:

When an import quota is imposed in a large open economy, it restricts the quantity of goods that can be imported. In this scenario, the quota limits imports directly. As a result, the supply of imports decreases while the demand for domestic goods may remain the same, which can lead to a rise in the price of domestically produced goods, ultimately affecting exports as well.

Under the circumstances of the quota, it's important to note that with imports restricted, the balance of trade might not necessarily shift drastically in the short term. Since the quota limits imports, domestic consumption may not fall by the same amount, and if exports decrease simultaneously or no change occurs, net exports can remain unchanged. However, since the quota creates less competition for domestic products, the price of these products tends to increase, which could lead to a rise in the real exchange rate.

Thus, the assertion that net exports remain unchanged while the real exchange rate rises is accurate. This illustrates how quotas can quiet a significant shift in net exports, stabilizing it under certain conditions, while still affecting the prices and values in the economy.