Plz ELI5

Why would the real value of savings decrease when an economy’s productivity stagnates or declines? I don’t follow this, especially in a global market for goods & services.

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You assume unrestricted access to said global market. Or that said market exists at all.

In the same way that monetary scarcity increases what can be purchased with that money, scarcity of goods increases the amount of money those goods can "buy".

If you save when goods are plentiful, and attempt to spend when goods are scarce, you will find that your "real" purchasing power has likely declined.