If banks and governments create their own cryptocurrency, will the people still be the ones to give value to it like Bitcoin and will we be able to store it in our own ledger to protect our own money?
If the government and the banks creates a crypto currency, then it is going to be a centralized coin and will highly likely be backed by fiat or something. The market won't be a decentralized market, hence we won't be determining the price. The price will be determined by the central banks. The banks will keep on issuing or minting the coins as long as needed just like fiat currency. In other words, a government controlled crypto currency is just a regular fiat currency, but uses the blockchain technology.
Most likely, yes. Otherwise, what is the point of creating digital currency?
So that they can easily track and keep an eye on the people?