Because you want to!!!

The wine, the cheese, the scenery, the ambience, the people, the historical interests, the beauty, the efficiency, the language, etc., etc., etc,

From a more down-to-earth point of view: You can rent your French home to tourists all year round - either in its entirety, or if you have sufficient rooms, turn your home into a bed-and-breakfast.

Tourists are trekking to the central areas of France for the reasons mentioned before; it is relatively inexpensive and peaceful compared to the more popular resort areas.

From an investment point of view: the return on investment on your property in France should far out-perform any return that you will get from a bank.