Consolidation treats several entities as one group and cancels claims within it. If Bank A owes Bank B 20, the combined banking sector has neither a net asset nor a net liability from that particular claim. The individual banks still care intensely about who must pay and when. Sector totals can conceal an institution unable to meet today's payment.
Assets also require valuation. A bond held at a purchase cost of 100 may now sell for 90. Accounting rules determine when that loss appears in reported equity, but an immediate sale at 90 realizes it. Do not equate a historical-cost balance sheet with a guaranteed liquidation value. Later lessons will connect this distinction to bank runs and interest-rate changes.
Use consolidation without deleting obligations
Consider two invented firms with no other financial relationships for this calculation. Firm A owns productive equipment worth 80 and a loan claim on B of 20. A owes outside creditors 30, leaving equity of 70 against assets of 100. Firm B owns equipment worth 60 and owes A 20, leaving equity of 40. Add their separate assets to get 160 and liabilities to get 50. These raw sums include the internal loan as an asset and as a liability.
Consolidating A and B removes that internal claim of 20 from both sides. The combined group has equipment assets of 140, outside liabilities of 30, and equity of 110. The sum of the individual equities, 70 plus 40, also equals 110. Cancellation did not forgive B's loan or transfer any equipment. It changed the reporting boundary. The group's net worth is unaffected by whether its members record the internal claim separately or eliminate it in the combined statement.
The internal loan can still create a payment problem. Suppose B must pay A tomorrow, owns only equipment, and cannot sell or borrow in time. The consolidated equipment total of 140 does not give B cash. A may also rely on B's payment to meet an outside obligation. Consolidation is useful for asking what the group owes outsiders. It is insufficient for asking whether each member can perform its contract on schedule. Individual accounts and payment dates remain necessary.
Valuation can expose a different problem. In a separate bank case, assets are stated at 150, liabilities at 135, and equity at 15. If a bond included among those assets must sell for 9 less than its carrying value, the sale reduces assets to 141 and equity to 6, ignoring costs and taxes. The proceeds are an asset replacement, but the difference from the old carrying value is a loss. Depositors' contractual claims do not automatically shrink to make the loss disappear.
Liquidity and capital therefore require separate checks. Liquidity concerns obtaining the asset needed to pay on time. Capital concerns the residual available to absorb losses. Borrowing 10 in cash adds 10 to assets and 10 to liabilities, leaving equity unchanged. Receiving 10 from owners in exchange for newly issued equity instead adds 10 to assets and 10 to equity. Both supply cash, but only the latter increases this simplified loss-absorbing residual. A real institution also faces legal and regulatory definitions beyond these book totals.
For a guided paper audit, take the household sequence above and label every change as income, consumption, financing, asset exchange, or valuation. Then reconstruct deposits separately from total net worth. Deposits ended at 95 and net worth at 109 because the bond remained an asset and the debt remained a liability. This method also identifies missing information. If only opening and ending net worth are supplied, several different sequences can fit. Balanced endpoints alone do not establish which transactions actually occurred.