Central-Bank Operations, Reserves & the Repo/Money-Market Complex

Learning objectives

By the end you can:

1. Read an actual central-bank balance sheet as a T-account, the Federal Reserve's H.4.1 release and the Reserve Bank of India's Weekly Statistical Supplement / Annual Report, reconcile each to its reported total, and explain why the RBI's book is dominated by foreign-currency assets and gold while the Fed's is dominated by domestic Treasury and mortgage securities.
2. Define a reserve balance precisely as a central-bank liability and derive, from arbitrage rather than assertion, why interest on reserve balances (IORB) is a floor: no bank rationally lends reserves overnight for less than it could earn risk-free by leaving them at the central bank.
3. Distinguish a floor system from a corridor system operationally, not as two labels but as two different relationships between the quantity of reserves supplied and the quantity demanded, and read the Fed's H.4.1 "factors supplying / absorbing reserves" framework, in which reserves are the balance sheet's residual, not a chosen target.
4. Turn every standing facility and open-market operation into a literal balance-sheet entry (an outright OMO purchase, a repo add, a reverse-repo drain, the SDF, the MSF, the discount window) so that "the central bank injected liquidity" becomes two ledger lines that must balance.
5. Run the QE and QT balance-sheet arithmetic end to end, entry by entry, for both a bank counterparty and a non-bank counterparty, reconnecting (in literal T-accounts, not narrative) the reserves-versus-broad-money distinction M7.01/M7.02 already established.
6. Compute a repo haircut, an initial margin, an effective leverage ratio, and a mark-to-market margin call from first principles, and read the difference between general-collateral (GC) repo and a security trading "on special."
7. Explain a money-market fund's architecture (WAM/WAL, government versus prime funds, amortized-cost stable NAV versus floating NAV) and reconstruct, numerically, how a fund's NAV "breaks the buck."
8. Trace the shadow-banking collateral chain: rehypothecation, collateral velocity, and the haircut spiral that turns a modest haircut increase into a large, fast deleveraging, the exact mechanism the module's Case Lab sequences.
9. (R10 duality objective.) Use an AI assistant to draft a summary of a central-bank balance-sheet release or a money-market primary document, then verify every figure against the actual named release (Guardrail 1–5, Trace through Cite) because in this region a fluent AI paraphrase and a correct one are indistinguishable until you check.

The duality, stated once (R10). Objectives 1–8 are the understanding gate (the balance sheet, the floor, the haircut arithmetic, the collateral chain) and they are what the mastery check grades. Objective 9 is the productivity payoff: AI is a genuinely useful first pass at reading a dense central-bank release or a fund prospectus, and a genuinely dangerous one to trust unverified, because this is a region where a confident, well-formatted, wrong balance sheet reads exactly like a correct one. The branch's angle is draft-then-verify-against-the-primary-source: let the tool draft the summary, then you open the actual H.4.1, the actual RBI Annual Report, the actual fund fact sheet, and check every figure yourself. No tool ever buys a pass on that check.

Prerequisites & connections

Builds on. M7.01 gave you the endogenous-money view (loans create deposits, base money versus broad money) and the double-entry mechanics of a single bank's balance sheet; this module assumes you can read a T-account without prompting and does not re-derive why banks create money. M7.02 gave you the central bank's mandate, the policy rate and its corridor (the RBI's SDF/repo/MSF levels and the Fed's target range, IORB and ON-RRP, referenced below exactly as M7.02 stated them, never re-derived), the OMO/CRR/SLR/forward-guidance toolkit narratively, the QE/QT channels and the reserves-versus-broad-money argument, and the M0–M3 aggregates. This module is the "one level down" complement M7.02 itself points toward: everywhere that module said what a tool does, this one shows the balance-sheet entry that is the tool. M5.01/M5.02 gave you a commercial bank's own balance sheet (CRR, SLR, CASA, the HTM/AFS/FVTPL investment classification) which is the counterparty side of every repo and OMO entry here. M1.01's double-entry bookkeeping is the literal skill in constant use throughout.