First time Ethereum buyer question

I bought 1ETH first time and stored it on paper wallet. I have keys physically printed. My question is if there is a fork in the blockchain and let's say two different coins are created. One is ETH new and other is ETH old, then what happens to ETH in my paper wallet.

Keep in mind that I might access paperwallet several years after the fork. ETH old may loose dollar value very fast if I dollar value very fast if I don't convert.