Final answer:
If the Korean dollar appreciates, it would result in a larger balance of trade deficit for Korea. If the Australian dollar depreciates, it would result in a smaller balance of trade deficit for Australia.
Step-by-step explanation:
If the Korean dollar appreciates against all currencies, holding other things equal, it would result in a larger balance of trade deficit for Korea. When a currency appreciates, it becomes more expensive for other countries to purchase goods and services from that country. This decrease in demand for Korean exports would lead to a larger trade deficit.
On the other hand, if the Australian dollar depreciates against all currencies, holding other things equal, it would result in a smaller balance of trade deficit for Australia. When a currency depreciates, it becomes cheaper for other countries to purchase goods and services from that country. This increase in demand for Australian exports would lead to a smaller trade deficit.