It depends on alot of things.
Are you planning to do the work yourself?
What part of the world you live in and what are the local requirements you will have to abide by.
How much asbestos do you have? Is it on a ranch house or a victorian?
You said that you are planning on buying the house, I think I would contact a local, established, home improvement contractor and get an estimate. Or at least pick his/her brains.
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