Sometimes. The value of a coin when melted and processed to its raw materials depends on the market value of the material. These markets fluctuate. So the same coin may always be worth a penny in spending power, but when the market changes the melted value can be more than a penny or less than a penny. It also depends on the penny. Different countries or even the same country in different years use various metallurgies in coins. An old US penny for instance was made of high copper alloy. Newer pennies are 95% Zinc with copper alloy plating. Generally these older pennies are worth more as copper tends to put value zinc on the metal market. However- if zinc suddenly rose up, the zinc penny would be worth more. Most governments outlaw melting coins down to prevent people from using government minted currency as a source of raw metal.
Yen coins have had it worse than you'd think. You could still make money melting down single yen coins and selling it and trading down he money you make for more yen tho you'll get super arrested for it
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