Finance relates to economics the same way consumer behaviour relates to investing.
I'm not talking about abuse of the system, or trading. I know HN likes to talk about HFT (understandably so, lots of math and technology) and finance conspiracies and inside trading, but those are relatively minor in the grand scheme of things. Steven A Cohen's firm is getting dismantled, and life goes on.
How economics relates is this: where I decide to put my money (and I DO invest my personal funds) depends on what's happening in the world at large. Do I invest on the HKSE, or in Tokyo, the NYSE or the Bourse de Paris? Do I invest in bonds, equities, or hold cash? Do I buy commodities, and if so, what? Do I want to bother with physical commodities, or futures? Etc...
Deciding where to put money requires us to build a coherent model of what's going on in the world. What is household debt, what is GDP growth, what are interest rates and inflation likely to move to? What is the prospect for firms in the US vs. China vs. Africa? What are the prospects for consumer spending? This is all economics.
After forming that view, then you can look at financial details. Valuations, company balances, technical indicators, etc...
I could go on, but needless to say, anyone who ever allocates capital anywhere should have, if not an understanding of economics, at the very least an economic model of their market/the world...
BTW, here's a job posting list from the American Economic Association. http://www.aeaweb.org/joe/listings.php You'll see alot of job postings for banks and commercial enterprises (Amazon is looking for an economist!).