Should I tell my boyfriend my real name?

When I met my boyfriend I gave him a fake name and a fake biography. Back when we met I thought it would be just a fling, but next month is our one-year anniversary. I did not decorate anything about myself - quite to the contrary. I selected a plain name, said I had never been to college, I also said my job was much lower in status and income than it really was. Back then I thought such biography would be more suitable for a fling, but maybe now I owe him the truth? Would it be the end of the relationship? I like it the way it is now - just dating. I don't want to move in together, to marry, to meet each other's parents. It can very well go on like that. But he has been asking me to go on foreign vacations with him for a few months now and though I do not even consider going, it makes me think of the differences between what I told him and the truth. I would really appreciate your opinions. Thank you.