Unregulated power adapters will put-out approximately the rated voltage at the full-rated current load (500mA in your case). The detailed manufacturer's specs should give you the no-load voltage (if you can find the manufacturer's specs). You might not find that information in a resellers catalog. Also, with an unregulated adapter the output voltage is proportional to the input voltage... So, if your 120/240VAC line is 5% high (or low) the output will be 5% high (or low).
A regulated supply/adapter will be much more controlled.
I'm running my Arduino Uno from a "12V" adapter, and it's putting-out almost 18V with the Arduino connected.