Step 1: Analyzing statement (A):
When the value of domestic currency increases relative to the foreign currency, it means that the domestic currency has become stronger. This is termed appreciation. Hence, statement (A) is correct.
Step 2: Analyzing statement (B):
When the value of the domestic currency increases relative to the foreign currency, it does not result in depreciation; it leads to appreciation. Hence, statement (B) is incorrect.
Step 3: Analyzing statement (C):
When the value of the domestic currency decreases relative to the foreign currency, it implies that the domestic currency has become weaker. This is termed depreciation. Hence, statement (C) is correct.
Step 4: Analyzing statement (D):
When the value of the domestic currency decreases relative to the foreign currency, it leads to depreciation, not appreciation. Hence, statement (D) is incorrect.