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You should look at similar acquisitions - I am sure there are studies that will give you an average of the premiums and discounts. We had a case study in corporate finance that listed these values in the US over several years.
I don’t believe you would be double counting because the formula goes like this : value* (1+CP)*(1-DLOM) and these two are completely different concepts that need to be considered.
About the risk free rate, I think you could take US risk-free rate but then add the country premium. The currency shouldn’t be the only factor to determine risk. Sovereign risk must be considered. The risk geographic location of this company’s market, operations etc should be added back. Again, I haven’t worked in this field so I’d be curious as to what others say.

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