Wouldn't the forced reinvestment of cash back into the economy drive up inflation? Also, aren't the Corp's hoarding cash because interest rates are artificiall

Wouldn't the forced reinvestment of cash back into the economy drive up inflation? Also, aren't the Corp's hoarding cash because interest rates are artificially low? Is the 'cash' really paper money or something like hard currency (gold coins, etc...). In that case 'hoarding the hard currency is not really destroying it, and when the investment options include tying up the money for some time with only a small return on investment, maybe hoarding is the best answer.