If the emulsion is not stabilzed with Thymol to prevent the growth of bacteria and mold, then its life is very short indeed.
If stabilzed, it will last quite a while. I have had the raw emulsions that I make last at least 6 months in a refrigerator.
But, a 'finished' emulsion implies to me that you have added sulfur or sufur + gold senstitzation. We usually sensitized emulsions this way prior to use, and added stabilzers as the raw emulsion keeping goes down after sulfur or sulfur + gold addition.
See my previous posts on this process.