The money multiplier theory says the central bank adjusts the money supply via the monetary base to target the federal funds rate. The central bank decides the quantity of the monetary base (currency and reserves) through open market operations or discount loans, and depending on the size of the money multiplier (currency-deposit ratio, reserve-deposit ratio i.e. behavior of depositors and banks) the money supply quantity is reached that will be (or be close to) the target federal funds rate. It is important to note in this story (Larry Ball's version at least) banks create money but their function is hidden within the money multiplier, specifically the reserve-deposit ratio.
The endogenous money theory says the traditional notion of banks taking deposits and turning them into loans is backwards; banks make loans and those loans create deposits.
This paper by the Bank of England (BoE) endorses the second theory while (intentionally or not) highlighting bank's constraints that stem from the first theory. A few thoughts:
How can "the" interest rate be targeted if the authors reject the effectiveness of open market operations (i.e. adjusting the quantity of reserves)? It initially seems like the authors accept the fact that the central bank sets (not targets) "the" interest rate but there is no channel described that demonstrates how they do this...until you get to page 8.
Ball's story has the Fed targeting the federal funds rate through open market operations and the discount window, while the BoE authors have the central bank setting the interest rate on reserves as the policy rate. By controlling the interest rate on reserves, they can mold the options banks have in regard to lending and borrowing.
So what are the differences in the two narratives?
The money multiplier theory is consistent with the stories in the news; The Fed plans to taper bond buying program and end QE**. Peruse the Fed's website and this is the same story they give in their "plain English" breakdown of monetary policy.
Both theories acknowledge bank's role in money creation and identify lender and borrowing behavior as limits to money creation.
Do these differences matter?
Paul Krugman suggests the endogenous money theory isn't anything to get riled up about since banks are still constrained in money creation and still do not lie outside of economic rules.
From a pure theoretical standpoint, I think the BoE endogenous money theory is something to get riled up about. The majority of intro economics textbooks and the Fed's current targeting would be depicting monetary policy backwards.
From a practical standpoint, I think we'd have to consider the mandates of our central bank: full employment and price stability.
In the US excess reserves are through the roof. These reserves could be lent out and stimulate economic activity. A simple observation suggests the Fed's current bond buying program is pumping excess reserves into banks that are going nowhere. Perhaps borrowers and businesses are too leveraged already and that's why there's nowhere for the excess to go. Perhaps the banks are content with receiving a safe return from interest on reserves. Or perhaps banks are charging too high an interest rate to borrow.
Both Ball and the Bank of England state the federal funds rate (or the interest rate on reserves for the Bank of England) determine several other interest rates related to borrowing and lending. I'm inclined to believe that but seeing the excess reserves in US depository institutions, I'm beginning to wonder if banks charge too much risk and liquidity premiums above the safe rate. Perhaps this is why the Fed's expansionary monetary policy is just sending excess reserves to extraordinary heights instead of being lent out and providing stimulus.
Is the bank of England fairing better in this regard? I'd love to hunt down data on reserves of depository institutions for the BoE. If they have less excess reserves in portion to the US, then I'd say they are doing a better job at utilizing monetary policy to achieve gains in the real economy (assuming of course these are respectable loans and not throwing money at anyone who walks in the door).
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*I specify "BoE" endogenous money theory vs. endogenous money theory because I've heard this argument before and can't claim that the BoE's version of endogenous money theory is the same as other writers such as Randy Wray, Gerald Epstein, etc.
**I didn't comment too much on QE here because the logic of QE by the Fed and by the BoE seems to be in line whereas expansionary monetary policy seems to take different approaches.
Ball, L. Money and Banking.
McLeay, M., Radia, A., & Thomas, R. 2014. Money creation in the modern economy. Bank of England.