"And why didn’t the bank seem to care that its clients were being sold stock that kept going down in value? "

"To carry out QE central banks create money by buying securities..."

http://www.economist.com/blogs/economist-expl...explains-5

"Security Definition | Investopedia
Investopedia › terms › security

"This can include the capital stock of a company, partnership or trust. Common stock is a form of equity interest, and capital stock is considered preferred equity as well."

So how could we do QE without causing inflation? I wonder...