If you decide that overseas property investment is the correct solution for you, then I can recommend Budapest as a strong possibility. Stick to central areas, such as districts V, VI, parts of VII and parts of IX. Returns are in the region of 6% and capital appreciation prospects would appear to be good. The rental market isn't so amazing as there are more apartments than people to rent them but if you find a good one, then I don't see why you shouldn't get it rented out at a fair price.
In my opinion, you should be wary of new builds, particularly in the suburbs, but also in central Pest as they tend to be overpriced and aimed at the foreigner. They are also invariably ugly and not built to the same standard as the beautiful older buildings.
Good luck!
Budapest.
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