Introduction
When a bank approves and originates a loan, it does not normally hand the borrower a claim on a particular existing depositor’s account. In the simplified case studied here, the bank records a loan asset and credits a deposit account by the same amount. The loan is an asset because the borrower owes the bank; the deposit is a liability because the bank owes that balance to its customer.
This paired entry explains how a commercial bank can create a deposit when it makes a loan. The entry must still satisfy the balance-sheet identity: assets equal liabilities plus equity. The treatment below is aligned with the SOA VEE Economics (Validation by Educational Experience) syllabus.
The Origination Entry
A bank balance sheet separates assets, liabilities, and equity. A loan receivable is an asset: it is a contractual claim on the borrower. A customer deposit is a liability: the bank is obligated to make the balance available under the account terms. Bank equity, or capital, is the residual difference between assets and liabilities.
Suppose a bank originates a loan of \(L\) and credits the borrower’s deposit at that same bank. The loan account increases by \(L\), and the deposit account increases by \(L\). In a double-entry accounting record, the bank debits the loan asset and credits the deposit liability. “Debit” and “credit” describe the accounting entries; they do not mean that cash must physically move at the instant of origination.
The increase in assets is matched by an equal increase in liabilities. So the bank’s balance sheet remains balanced. No existing customer’s deposit has to decrease as part of this particular entry, and the bank’s reserve balance does not need to change at the instant it credits the borrower’s deposit. This describes the origination entry only; it is not a claim that lending is free of funding, liquidity, capital, credit-risk, or regulatory constraints.
Worked Examples
Worked Example: One Loan Credited to a Customer’s Account
A hypothetical bank has reserves of \( \$80{,}000 \), loans of \( \$220{,}000 \), and securities of \( \$100{,}000 \). Its deposits are \( \$340{,}000 \), other borrowing is \( \$20{,}000 \), and equity is \( \$40{,}000 \). It originates a \( \$30{,}000 \) loan and credits the borrower’s deposit at the bank. Find the new balance-sheet totals. Ignore fees, provisions, and other changes.
Method. First verify the starting balance sheet, then add the loan to assets and the deposit to liabilities. This method avoids treating the loan as a transfer from another customer’s deposit.
Starting assets: \( \$80{,}000+\$220{,}000+\$100{,}000=\$400{,}000 \).
Starting liabilities plus equity: \( \$340{,}000+\$20{,}000+\$40{,}000=\$400{,}000 \). The opening balance sheet balances.
The new loan increases loans from \( \$220{,}000 \) to \( \$250{,}000 \). Reserves and securities are unchanged at origination, so new total assets are \( \$80{,}000+\$250{,}000+\$100{,}000=\$430{,}000 \).
Deposits rise from \( \$340{,}000 \) to \( \$370{,}000 \). Other borrowing remains \( \$20{,}000 \), and equity remains \( \$40{,}000 \). Thus liabilities plus equity are \( \$370{,}000+\$20{,}000+\$40{,}000=\$430{,}000 \).
Check: Both sides equal \( \$430{,}000 \). The new loan asset and deposit liability each increased by \( \$30{,}000 \); equity did not change.
Worked Example: Recording the Entry with a T-Account
A hypothetical bank starts with reserves of \( \$90{,}000 \), loans of \( \$210{,}000 \), and securities of \( \$60{,}000 \). It has deposits of \( \$300{,}000 \), borrowing of \( \$25{,}000 \), and equity of \( \$35{,}000 \). The bank originates a \( \$48{,}000 \) business loan, crediting the borrower’s deposit account. Give the origination entries and the resulting totals.
Method. Record a debit to the loan asset and a credit to the deposit liability. This avoids the common error of recording the credit as bank revenue or capital.
First check the initial totals. Assets are \( \$90{,}000+\$210{,}000+\$60{,}000=\$360{,}000 \). Liabilities plus equity are \( \$300{,}000+\$25{,}000+\$35{,}000=\$360{,}000 \).
The entry is: debit loans \( \$48{,}000 \); credit customer deposits \( \$48{,}000 \). The new loan balance is \( \$210{,}000+\$48{,}000=\$258{,}000 \), and the new deposit balance is \( \$300{,}000+\$48{,}000=\$348{,}000 \).
Reserves remain \( \$90{,}000 \), and securities remain \( \$60{,}000 \), giving total assets of \( \$90{,}000+\$258{,}000+\$60{,}000=\$408{,}000 \). Liabilities plus equity are \( \$348{,}000+\$25{,}000+\$35{,}000=\$408{,}000 \).
Check: The balance sheet balances at \( \$408{,}000 \). The bank has not earned \( \$48{,}000 \) at origination: it has acquired a loan claim and taken on an equal deposit obligation.
Worked Example: Two Loans and a Common Funding Misconception
A hypothetical bank has reserves of \( \$64{,}000 \), loans of \( \$286{,}000 \), and securities of \( \$50{,}000 \). It has deposits of \( \$330{,}000 \), borrowing of \( \$30{,}000 \), and equity of \( \$40{,}000 \). The bank originates a \( \$22{,}000 \) equipment loan and a \( \$13{,}500 \) working-capital loan; both proceeds are credited to deposits at this bank. Find the final assets, deposits, and balance-sheet total.
Method. Add the loans one at a time, applying the same asset-and-liability entry to each. This avoids assuming that the bank must subtract the loan amount from reserves at the moment of origination.
The opening assets are \( \$64{,}000+\$286{,}000+\$50{,}000=\$400{,}000 \). Opening liabilities plus equity are \( \$330{,}000+\$30{,}000+\$40{,}000=\$400{,}000 \).
After the first loan, loans are \( \$286{,}000+\$22{,}000=\$308{,}000 \), deposits are \( \$330{,}000+\$22{,}000=\$352{,}000 \), and total assets are \( \$64{,}000+\$308{,}000+\$50{,}000=\$422{,}000 \).
The second loan adds \( \$13{,}500 \) to loans and deposits. Final loans are \( \$308{,}000+\$13{,}500=\$321{,}500 \), and final deposits are \( \$352{,}000+\$13{,}500=\$365{,}500 \). Final assets are \( \$64{,}000+\$321{,}500+\$50{,}000=\$435{,}500 \).
Final liabilities plus equity are \( \$365{,}500+\$30{,}000+\$40{,}000=\$435{,}500 \). Reserves remain \( \$64{,}000 \) in this origination-only calculation.
Check and correction: The total new lending is \( \$22{,}000+\$13{,}500=\$35{,}500 \). Assets and deposits each increase by exactly \( \$35{,}500 \), and the final balance sheet balances at \( \$435{,}500 \). Subtracting \( \$35{,}500 \) from reserves as well would incorrectly add a second, unsupported transaction.
Why the Balance Sheet Stays Balanced
The accounting identity gives a short derivation of the result. Let initial assets be \(A\), liabilities be \(B\), and equity be \(E\), so \(A=B+E\). For a loan of \(L\) credited to a deposit, assets become \(A+L\), liabilities become \(B+L\), and equity remains \(E\). Therefore:
Because \(A=B+E\), the right side is \(B+E+L=A+L\). The identity still holds. The bank has created a deposit liability alongside a loan asset; it has not created equity or made the borrower wealthier by the amount of the loan at the instant of the transaction.
From the borrower’s perspective, the deposit is an asset and the loan is a liability. If the borrower receives \(L\) in a deposit and owes \(L\) under the loan, the two balance-sheet changes offset in net worth, before fees or other effects. The deposit can be used as money, but it is not income simply because it has been credited.
Assumptions and Limits of the Simplified Entry
The examples use a deliberately simple accounting model. They assume that the bank has approved and originated the loan, credits the full proceeds to a deposit account at that same bank, and records no other transaction at the same time. They also ignore origination fees, expected credit-loss provisions, accrued interest, and later changes in the loan’s value. Those items can affect detailed accounting, but they are not needed to identify the basic paired entry.
The result is specifically about the moment of origination. If the borrower later uses the deposit to pay someone, other entries may be needed, including entries involving another bank. That is a separate transaction from the loan origination itself. Likewise, creating a deposit does not imply that a bank can or will lend without limit: the bank must manage the risks and constraints that apply to its lending and funding.
Common Mistakes
- Subtracting reserves automatically. Incorrect: for a \( \$20{,}000 \) loan credited to the borrower’s account, record loans \(+ \$20{,}000\), reserves \(- \$20{,}000\), and deposits \(+ \$20{,}000\). That changes total assets by zero but raises liabilities by \( \$20{,}000 \), so the entry does not balance. Correction: at origination in this simplified case, loans and deposits each increase by \( \$20{,}000 \); reserves are unchanged.
- Treating the deposit as bank profit. The deposit is an amount the bank owes its customer, not revenue or equity. The matching loan is an asset, but the bank has also accepted credit risk.
- Forgetting to check the opening balance sheet. Before applying the origination entry, verify that initial assets equal liabilities plus equity. If the starting figures do not balance, a correct new entry will not repair the inconsistency.
- Calling the loan itself money held by the borrower. The loan is the bank’s claim; the deposit credited to the borrower’s account is the bank liability that serves as commercial bank money.
Check Your Understanding
For each problem, use the simplified origination model: the loan proceeds are credited to a deposit at the lending bank, and no fees, provisions, or other transactions occur.
- A bank has reserves of \( \$40{,}000 \), loans of \( \$160{,}000 \), deposits of \( \$170{,}000 \), and equity of \( \$30{,}000 \). It originates a \( \$12{,}000 \) loan credited to a customer deposit. Find ending total assets and deposits, and verify the balance sheet. (Answer: Assets \( \$212{,}000 \); deposits \( \$182{,}000 \); deposits plus equity \( \$212{,}000 \).)
- A bank has reserves of \( \$55{,}000 \), loans of \( \$245{,}000 \), securities of \( \$50{,}000 \), deposits of \( \$290{,}000 \), other borrowing of \( \$20{,}000 \), and equity of \( \$40{,}000 \). It originates a \( \$18{,}000 \) loan. Find ending loans, total assets, and total liabilities plus equity. (Answer: Loans \( \$263{,}000 \); assets \( \$368{,}000 \); liabilities plus equity \( \$368{,}000 \).)
- A bank starts with reserves of \( \$80{,}000 \), loans of \( \$120{,}000 \), securities of \( \$50{,}000 \), deposits of \( \$190{,}000 \), borrowing of \( \$35{,}000 \), and equity of \( \$25{,}000 \). It originates loans of \( \$9{,}500 \) and \( \$14{,}500 \), each credited to a deposit at that bank. Find final deposits and total assets. (Answer: Deposits \( \$214{,}000 \); total assets \( \$274{,}000 \).)
- A colleague says that for a \( \$24{,}000 \) loan credited to a customer’s account, the bank should increase loans by \( \$24{,}000 \), decrease reserves by \( \$24{,}000 \), and increase deposits by \( \$24{,}000 \). Explain the accounting error and state the simplified origination changes. (Answer: The claimed reserve decrease is an extra asset change that leaves assets unchanged while liabilities rise, so the entry does not balance; loans rise \( \$24{,}000 \), deposits rise \( \$24{,}000 \), and reserves and equity are unchanged.)
- A borrower receives a \( \$40{,}000 \) loan as a deposit at the lending bank. At origination, by how much do the borrower’s deposit asset and loan liability change, and what is the change in the borrower’s net worth from those two entries alone? (Answer: Deposit asset \(+\$40{,}000\), loan liability \(+\$40{,}000\), and net worth changes by \( \$0 \).)