LTC is a copy paste of BTC - it's solid as long as people keep mining it.
If a fork occurs, you will have double the coins. Anything pre-fork doubles (as long as you hold your private keys). With Ethereum, as an example, people with 100 suddenly had 200 (100 of each) but the value of Eth and Etc diverged quite a bit. Forks are anything but stable. Also, buying and selling hours or even days after a fork is not recommended due to network instability.
Some exchanges have promised to supply your balance on both coins, but web sites are not algorithms