Sounds like the timer has finally gone out. The only way to fix this would be to put a new one in it,but the problem maybe that this maybe dis-continued. If you want i could check this out for you.
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This is it here.
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http://www.repairclinic.com/PartDetail/Timer/204889/1314?modelNumber=A408 Price is $150.70 its quite expensive but when you go to change this make sure you mark the wires or take a picture of how the wires are hooked to the timer. Make sure that the washer is unplugged also.