Up until the late 1960s, it was considered prudent for everyone to have some savings. By forgoing consumption, savings gave the ability to consume more at a later date through the accumulation of interest income.
This result is similar to what one hopes to achieve with an investment, but savings and investments should not be confused. A person uses money to make an investment, whereas saving is the process of accumulating money itself. Thus, you put your money at risk when making an investment, which hopefully will become a wealth-creating asset. In contrast, savings are meant to be riskless.
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