Hi padk, you should still get them rented if you furnish well and don't overprice them. The price isn't so high so they should appreciate in years to come. There is a lack of quality apartments to rent in Budapest at the minute.
As regards Budapest being a good or bad investment, it is a huge city and there are fantastic investments but also terrible ones. Research is the vital element and many investors I have met haven't done much research into the areas they are buying nor have they really thought about rental possibilities, etc. The city is a long term proposition but many Irish people I've met have become frustrated that they haven't made instant cash as can be the case at home in recent years. Some may have also jumped in too impulsively and to the wrong areas.
In my opinion, the economic fundamentals are good and the city will prosper in the years to come. It receives a substantial proportion of Direct Foreign Investment for the region and mortgage rates are likely to drop substantially when it adopts the euro in the next five years. This will make property more affordable for the locals. Unfortunately, the Irish property media has hyped the city for the last couple of years, as if there was a window for when to invest. This isn't true and there are still great opportunities to be had. Some people I know, who have bought in the past year are earning 25% on their return (e.g. holiday let apartments). Others are happy to take the less hassle option and rent longer term for 6-7%, which is very achieveable here with a good investment.
Budapest