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What is this type of risk-free investment called?
The name of this type of investment is Capital Guaranteed Investment, and yes they do exist, some financial institutions do offer them from time to time and they can be better than putting money in the bank. Unlike what someone else said, your money is not is not locked for the five years. You can take out your investment at any time, but if you do take your money out before the term (5 years in your mother's case) the capital gurantee is void. So you would only withdrawal your money if the investment is currently in proffit, because if it is at a loss when you go to withdrawal, you get hit with the loss. In many cases you will get a third party, usually a large bank, being guarantor for the capital guarantee, and they in turn get paid for this obligation.