My experience going through this seven times is that it's about $ 10K per child, as of five years ago, for a hospital birth. However, this is about 3 times what it costs us sixteen years ago when our first child was born. Our last was a homebirth and the midwife fee was $ 750.00, that was three years ago.
We went through a process of changing our mind and attitude's about childbirth and allopathic medicine in general. I would reiterate what Lawrence said, our experience was:
1. The medical community treats pregnancy as a disease
2. They create situations to "treat" that in turn artificially raise prices
3. This is derived from their presupposition that pregnancy is a disease or abnormal condition.
In saying that, I'm not condemning the whole profession or saying it is always that way for everybody, it just seemed to be for us - six times in a row. I also don't think they "create" situations on purpose, rather, I think it is a result of their presuppositions and deficient care derived from that. I do believe that if there are problems one should take advantage of modern medicine, however, for normal pregnancies there is a marked difference in approach and presuppositions between allopathic medicine and more "natural" ideas.
While you may or may not have an interest in homebirth, I would suggest you at least talk with a midwife, and even if you aren't interested in actually delivering at home, hire her during the pregnancy to advise you and your wife. There's another name for ladies that are trained as midwifes but don't actually get involved in delivery, but I don't remember what it is.
We found that all of the complications we had experienced with all prior pregnancies, two of which resulted in miscarriages, could be completely avoided with proper care based upon a correct consideration of pregnancy and the actual medical needs of my wife to enjoy a healthy pregnancy. In turn, none of the complications we experienced six times in a row, under allopathic care, existed in my wife's seventh pregnancy under the care of a competent midwife.