Introduction
When a customer hands currency to a bank and the bank credits the customer’s account, two balance-sheet entries occur together. The bank has received an asset—physical cash—and has promised the customer an equal amount of deposit money. The deposit is not revenue for the bank, and accepting it does not, by itself, increase the bank’s capital.
The distinction between the customer’s perspective and the bank’s perspective matters. For the customer, currency has been exchanged for a deposit claim. For the bank, cash on hand rises and a deposit liability rises. This tutorial traces that change, checks it against the balance-sheet identity, and then follows what happens if the bank later moves some of its physical cash to its account at the central bank.
The Deposit Entry on the Bank’s Balance Sheet
A bank balance sheet lists its assets, liabilities, and capital at a point in time. Assets include resources the bank owns or claims it can use, such as vault cash and a balance held at the central bank. A customer deposit is a liability because the bank owes the customer access to the account balance under the account’s terms. Capital is the residual interest of the bank’s owners.
Suppose a bank accepts a cash deposit of \(D\) dollars. Assume the currency is received and accepted by the bank, the account is credited for exactly \(D\), and there are no fees, errors, or other transactions in the same entry. The deposit entry is:
The cash is an asset because the bank now holds the currency. The deposit is a liability because the bank owes the customer the account balance. The two increases are equal, so the bank’s balance sheet remains balanced. This is a transaction between the customer and the bank; it is not a payment to a third party.
Worked Example: Recording a Customer’s Cash Deposit
A hypothetical bank has assets of $860,000, customer deposits of $710,000, other liabilities of $90,000, and capital of $60,000. A customer deposits $4,500 in currency, and the bank credits the customer’s account for the full amount. Find the balance-sheet totals immediately after the deposit. Assume no other transactions occur.
Method and assumption. Record the transaction when the bank accepts the currency and credits the account. Treat the received currency as an increase in the bank’s cash asset. No fee is charged, so the asset and liability entries have the same amount.
Step 1: Check the starting balance sheet. Total liabilities plus capital are $710,000 + $90,000 + $60,000 = $860,000, equal to starting assets of $860,000.
Step 2: Record the asset change. Cash on hand rises by $4,500. Total assets become $860,000 + $4,500 = $864,500.
Step 3: Record the liability change. Customer deposits rise by $4,500, from $710,000 to $714,500. Other liabilities remain $90,000, and capital remains $60,000.
Step 4: Reconcile. Liabilities plus capital equal $714,500 + $90,000 + $60,000 = $864,500. This equals the new asset total.
The final totals are assets of $864,500, customer deposits of $714,500, other liabilities of $90,000, and capital of $60,000. The common mistake is to treat the customer’s $4,500 as bank income and increase capital. The correction is to recognize the bank’s matching obligation: the deposit is a liability, not revenue.
Why the Balance Sheet Stays Balanced
The balance-sheet identity is assets equal liabilities plus capital. A deposit entry preserves this identity because the bank records the same amount on each side. The following short justification makes clear why capital does not need an offsetting entry.
Here \(A\) denotes total assets, \(L\) total liabilities, and \(K\) capital. Under the stated deposit assumptions, the changes are \(\Delta A=D\), \(\Delta L=D\), and \(\Delta K=0\). Therefore:
The identity holds before and after the transaction. The bank has a larger asset and a larger liability, but its net worth as measured by capital has not changed. This reasoning applies to the initial deposit entry; it does not say that every later transaction involving the deposit must leave capital unchanged. Fees, operating expenses, or losses would be separate transactions with their own entries.
Vault Cash and Reserve Balances
The bank initially receives physical currency. In its own records, this may be described as cash on hand or vault cash. A reserve balance, by contrast, is the bank’s claim on the central bank held in an account there. Both can be assets of the commercial bank, but they are different forms of assets held in different places.
The initial deposit entry does not require the bank to transfer the currency to the central bank at that moment. If the bank later sends currency to the central bank and its reserve account is credited, the bank has changed the composition of its assets: vault cash falls and its reserve balance rises. Assuming the transfer is recorded for the same amount and no fee is involved, total assets do not change during that later reclassification. The customer’s deposit liability also does not change just because the bank moves its own cash.
This distinction prevents a common timing error. The deposit itself adds cash to the bank’s assets. A subsequent movement of cash into a reserve account changes which asset the bank holds. It is not a second credit to the customer’s deposit account.
Worked Example: From Vault Cash to a Central-Bank Balance
A hypothetical bank initially reports vault cash of $7,000, a reserve balance of $33,000, loans of $160,000, and other assets of $20,000. Its customer deposits are $175,000, other liabilities are $25,000, and capital is $20,000. A customer deposits $5,000 in currency. Later, the bank transports $3,000 of its currency to the central bank, which credits the bank’s reserve account by $3,000. Find the asset and liability balances after both events. Assume no fees or other transactions.
Method and assumption. Record the customer’s deposit first as a rise in vault cash and deposits. Then record the physical transfer as a decrease in vault cash and an equal rise in the reserve balance. Do not change the customer’s deposit a second time for the bank’s internal asset transfer.
Step 1: Check the initial totals. Assets are $7,000 + $33,000 + $160,000 + $20,000 = $220,000. Liabilities plus capital are $175,000 + $25,000 + $20,000 = $220,000.
Step 2: Record the customer deposit. Vault cash becomes $7,000 + $5,000 = $12,000. Customer deposits become $175,000 + $5,000 = $180,000. At this point, total assets and liabilities plus capital are each $225,000.
Step 3: Record the later transfer. The bank sends $3,000 of currency to the central bank. Vault cash becomes $12,000 − $3,000 = $9,000, and the reserve balance becomes $33,000 + $3,000 = $36,000. Total assets are unchanged by this step.
Step 4: Reconcile final balances. Assets are $9,000 + $36,000 + $160,000 + $20,000 = $225,000. Liabilities plus capital are $180,000 + $25,000 + $20,000 = $225,000.
The final balances are vault cash of $9,000, reserves of $36,000, customer deposits of $180,000, and total assets of $225,000. The trap is to add the $3,000 transfer to the deposit liability again. It is the bank’s existing cash being moved between asset categories; the customer’s account was credited only once.
Depositing Currency and the Money Held by the Public
A cash deposit also changes the form in which the customer holds money. Before the transaction, the customer holds currency. After the transaction, the customer holds a deposit claim on the bank, while the bank holds the currency. At the level of the individual bank, the accounting entry is clear: its cash asset and deposit liability both rise.
The effect on a named monetary aggregate depends on how that measure is defined. For example, a measure that counts currency held by the public but excludes cash held by banks may show a decrease in public currency and an increase in deposits. One should not conclude that every measure of the money supply necessarily rises by the deposit amount without first checking which forms of money the measure includes. The accounting entry at the bank and the measurement convention for a monetary aggregate are related questions, but they are not identical.
A cash deposit is also different from a check or electronic transfer arriving from another bank. Those transactions can involve clearing and settlement between institutions, including movements in reserve balances. Here the stated transaction is specifically a customer handing physical currency to the bank. Keeping the transaction type straight helps identify which asset changes at the moment of deposit.
Common Mistakes and a Reliable Check
The most reliable way to solve a cash-deposit question is to identify the bank’s perspective, classify each item as an asset, liability, or capital, and then reconcile the totals. Several errors recur:
- Calling the deposit income. The bank receives an asset, but it also owes the customer a matching deposit liability. The transaction alone does not create profit or capital.
- Changing only the liability. A credited account must be matched by the asset received in the stated cash transaction. Recording only the deposit liability makes the balance sheet fail to balance.
- Treating vault cash and reserve balances as interchangeable. Both are bank assets, but one is physical currency held by the bank and the other is a balance at the central bank. A transfer between them changes asset composition.
- Counting a later cash transfer as another customer deposit. The bank’s transfer of its own currency does not create a second customer claim.
- Assuming the transaction is a loan. A cash deposit creates a deposit liability against cash received. It is not the recording of a loan asset; loan origination is a distinct transaction.
As a final check, compare the change in total assets with the combined change in liabilities and capital. For a simple cash deposit of \(D\), assets rise by \(D\), liabilities rise by \(D\), and capital is unchanged. If these changes do not reconcile, revisit the classification or the transaction amount.
Worked Example: Finding and Correcting an Unbalanced Entry
A hypothetical bank has assets of $315,000, liabilities of $280,000, and capital of $35,000. A customer deposits $2,750 in currency. A clerk correctly increases customer deposits by $2,750 but mistakenly records only $2,000 as an increase in cash. Determine the discrepancy and the correcting entry. Assume no other transactions.
Method and assumption. Compare the amount of the accepted currency with the liability credited, then use the balance-sheet identity to locate the missing amount. The customer handed over $2,750, so the bank must record the full amount as cash received.
Step 1: Calculate the recorded totals. Recorded assets are $315,000 + $2,000 = $317,000. Recorded liabilities are $280,000 + $2,750 = $282,750. Adding unchanged capital gives $282,750 + $35,000 = $317,750.
Step 2: Identify the discrepancy. Liabilities plus capital exceed recorded assets by $317,750 − $317,000 = $750. The cash entry is short by $2,750 − $2,000 = $750.
Step 3: Correct the entry. Increase cash by an additional $750. Cash then rises by $2,000 + $750 = $2,750, and total assets become $315,000 + $2,750 = $317,750. Liabilities plus capital remain $282,750 + $35,000 = $317,750.
The correcting entry is to increase the cash asset by $750; the customer deposit was already credited correctly. The common mistake is to reduce the deposit liability to force the totals to match. That would contradict the stated amount credited to the customer. Correct the account that was recorded incorrectly.
Check Your Understanding
For each problem, use the bank’s perspective and check the balance-sheet identity.
- A bank accepts $1,200 in currency and credits a customer’s account for that amount. What changes in the bank’s assets, liabilities, and capital? (Answer: Assets rise by $1,200; customer deposit liabilities rise by $1,200; capital is unchanged.)
- A bank begins with assets of $92,000, customer deposits of $70,000, other liabilities of $12,000, and capital of $10,000. A customer deposits $3,000 in cash. Find final assets and customer deposits. (Answer: Assets are $95,000 and customer deposits are $73,000; other liabilities remain $12,000 and capital remains $10,000.)
- A bank receives $4,800 in cash from a customer. It later sends $1,800 to the central bank, which credits its reserve balance by the same amount. Relative to the bank’s position before the customer deposit, what are the changes in vault cash, reserves, and customer deposits after both events? (Answer: Vault cash rises by $3,000, reserves rise by $1,800, and customer deposits rise by $4,800.)
- A bank’s assets are $410,000, liabilities are $365,000, and capital is $45,000. After a $6,000 cash deposit, the recorded increase in cash is $5,500 while customer deposits rise by the full $6,000. By how much are assets understated, and what entry corrects the error? (Answer: Assets are understated by $500; increase the cash asset by $500.)
- A customer exchanges $2,400 of currency for a bank deposit. The bank then moves the entire $2,400 of currency to its central-bank account. Assuming the central bank credits the reserve balance by $2,400 and no other transaction occurs, what are the final changes in vault cash, reserves, deposits, total assets, and capital? (Answer: Vault cash is unchanged overall, reserves rise by $2,400, deposits rise by $2,400, total assets rise by $2,400, and capital is unchanged.)