My family ate about 2/3 of that baumkuchen I bought in January. We stowed the remainder in an airtight container in our freezer. Now, four and a half months later, we've pulled it out to celebrate my return from another successful semester at school. It's still moist, still delicious, and it didn't give me food poisoning. I feel that it's reasonable to say that your Cake Box baumkuchen will keep in the freezer for at least 5 months!
I take no responsibility if you take this advice and become ill.