Scenario 1: There's an economy of two people (Joe and Amanda). Joe buys a 500$500$ dollar car from Amanda (which she made herself from raw materials in her back yard). Amanda takes the 500$500$ dollars and hides it under her bed. Savings = 500$500$ dollars, Investment = 0$0$ dollars. What am I missing?
Scenario 2: Same Amanda and Joe. Joe gets 500$500$ dollars from the Federal Reserve (they just gave it to him). He puts it in a bank. The bank decides to only lend out 250$250$ dollars of it. Amanda invests in inventory. S = 500$500$, I = 250$250$. Right?
These are two cases where investments do not seem to equal savings. How can these cases be explained?