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I make a distinction between saving and hoarding: hoarding is "keeping under the matress" while saving really is "investing" (optionally via entities specializing in this (savings & loans)). I think it's is important to make this distinction because for saving to fulfil it's purpose, namely sending a price signal by lowering interest rates (the price of money) and effecting investment into higher efficiency, innovation, etc, the saved money need to be loaned out or somehow else put to use in the economy as capital. If money is just hoarded, this function isn't being fulfilled.
Can you guys agree with this distinction / view?
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No. Saving and hoarding is the same. When you save money, you save the actual money. You can also save other things, like food.
Investing is different. Investing is buying capital goods, which is tools, buildings, raw materials, etc, with the intent of making money. You can also include competency building.
Lending is a third category. You let others spend first, on consumption or capital, and you get the interest as compensation.
Everyone is free to decide how he is going to allocate his money. Saving is not something negative. When you save money, others can spend more. This is organized through the price signals. When you save money, you increase the value of the money, and reduce the price of everything measured in that money unit. Meaning others can spend.