Quote from bluud:
bank of (A) has $450,000
bank of (A) loans out 450K to ten home purchasers who have put down 50K
after a few months, the home owners are incapable of paying the mortgage
bank of (A) sells all ten houses at 450K
buyers loose their 50K
bank of (A) earns 4.5Million through all sells (net profit $4 Million)
bank of (A) now loans out $45 Million (10 x 4.5 Million) to 100 people who want to purchase a home
am I missing something?
Quote from bluud:
can anyone provide an answer for this
Well for one your math is wrong. Following your example and assuming no transaction costs:
Bank lends ($450K*10) = $4.5 mil
Bank receives collateral of $50K * 10 = $.5 mil
Bank then assumes ownership after owners default and immediately sells:
$450K *10 = $4.5 mil
profit: $4.5 mil - 4.5 mil + .5 mil = $.5 mil
In this case profit is strictly the owners' collective forfeit deposit. I'm not sure how you figured the bank's outlay was $50K * 10; the bank has to pay the house builders $450,000 each, not $50,000.
Also, as bank only has $450,000 of collateral and needs to lend $4.5 million it will have to borrow the $4.5 mil from other banks. In our system that other bank is often the Federal Reserve. The Fed would only lend to the bank if it had the required reserve ratio which in this case it does. In your example the retail bank is printing money which it doesn't have the legal authority to do.
Now the above is missing one important principle of fractional-reserve banking. Assume your bank A is the only bank that exists and for simplicity there is only one house involved. In which case the flow would be more like Bank A loans $450K to consumer and consumer deposits $50K. Consumer then pays builder $450K. Builder A deposit the $450K in bank A and withdraws only $100K. Now assuming the consumer didn't default, bank A now holds a mortgage of $450K and has a reserve of $50K (consumer) + 350K (builder) which it can use to make more loans. So it lends $450,000 and immediately get's back $400,000. That's fractional-reserve banking. Now keep going. Imagine the builder takes his $100,000 to pay his men. Where are they going to put their money?