Our grocery store has a machine that takes coins and gives you a paper receipt for the amount you put in minus 10%. I don't have the patience to roll coins! But you could do that - roll coins and turn the rolls into a bank.
My bank doesn't want you to roll the coins; they have a machine counter (similar to those in the stores) that they use to count out the coins. They will either give you cash or can deposit it directly into my account. Another friend of mine doesn't use a brick-and-mortar bank (he uses Ally), so he either has to use the machine at the store (which takes out a certain percentage as a fee) or will just ask me to make the exchange for him the next time I go to the bank.
Although when I was a little kid, I had heard a story about a guy that tried to corner the market on a particular penny (or maybe it was some other coin?). He'd pay anyone a little extra in exchange for those coins from a particular year, with the idea that as the national supply of that particular coin twiddled, the rarity would increase thereby increasing the value of those coins to the point where the value of his collection would outweigh the amount of money he lost trying to buy those coins. Unfortunately for him the Feds got tipped off by this scheme and he ended up going to jail for some federal charge. But after I heard that story, I started collecting pennies and sorting them by year. I'd raid my parents coin-purses and take out all of the pennies. I'd then wash them (which actually probably hastened their corrosion, but at that age, who knew), sort them by year and mint, and when I had enough, I'd roll them. When I left for college, my parents finally made me get rid of my "coin collection". At that point, I had accumulated over a hundred dollars worth of pennies (but I was woefully short of cornering the market on any one date
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Oh, one final thing... There is some financial guru (I think Suze Orman) that suggests to use a change system to help you save. Basically whenever you make a purchase (getting gas, groceries, lunch at Subway, happy-hour drinks, etc.), you are to use paper money only, and any coin-change gets set aside (like in a coffee can). Then at the end of the month, you deposit all of that loose change into some interest-bearing account. She (assuming it's Suze) said that you'd be surprised at how much you can save by doing this, and because it is only the coin change you aren't using, it doesn't feel like you are missing that money so it's easier mentally to save that money.