Banking and Expansion of Money Supply

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AP Macroeconomics › Banking and Expansion of Money Supply

Questions 1 - 10
1

Given the reserve requirement ($rr$) is 20% and an initial deposit of $\$500$ is made into Bank A, assume banks hold no excess reserves but there is a currency drain: borrowers keep 10% of each loan as cash rather than redepositing it. Which statement best describes the effect on the maximum expansion of checkable deposits compared with the no-currency-drain case?

It is larger because holding cash reduces required reserves.

It is unchanged because the money multiplier is still exactly $1/rr$.

It is smaller because less of each loan returns to banks as new deposits.

It is larger because the central bank replaces the missing deposits automatically.

It is zero because any currency drain prevents banks from lending.

Explanation

Banks create money when loaned funds are redeposited, but factors like currency drain can limit this expansion. With a reserve requirement (rr) of 20%, a 10% currency drain means borrowers hold some cash, reducing redeposits and making the maximum expansion smaller than without drain, as described in choice A. This occurs because less money returns to banks for further lending, effectively lowering the multiplier below 1/rr. A common misconception is that banks print money, but they generate deposits through lending under fractional reserves, not by producing physical currency. Apply the transferable strategy of tracking deposits, deducting required reserves and drained currency, then calculating remaining loans to understand the constrained expansion process.

2

Given the reserve requirement ($rr$) is 10% and an initial deposit of $\$2{,}000$ is made into Bank A, assume Bank A holds $$400$ in reserves (more than required) and there is no currency drain. How much can Bank A lend in the first round?

$\$1{,}800$ because required reserves are 10% and excess reserves are lent.

$\$1{,}600$ because the bank lends the deposit minus its total reserves.

$\$200$ because the bank can lend only the required reserves.

$\$2{,}000$ because the central bank provides reserves for any loan.

$\$400$ because reserves are the same thing as loans.

Explanation

Banks contribute to money creation by lending excess reserves from new deposits, which then circulate as new deposits in other banks. With a reserve requirement (rr) of 10% on a $2,000 deposit, required reserves are $200, enabling the bank to lend $1,800 in the first round, as indicated in choice D. This follows because the bank lends all excess reserves after meeting the rr, even if it already holds $400 in reserves (more than required for the new deposit). A common misconception is that banks print money, but they create it by crediting borrowers' accounts, expanding checkable deposits. A transferable strategy is to track the deposit amount, subtract required reserves, and calculate potential loans, ensuring you account for any pre-existing reserves without subtracting them from the new lending capacity.

3

Given the reserve requirement ($rr$) is 10% and an initial deposit of $\$1{,}000$ is made into Bank A, assume no currency drain. Bank A decides to hold $$200$ as reserves (instead of the required amount) due to uncertainty. Compared with the full-lending assumption, what happens to the maximum expansion of checkable deposits?

It increases because higher reserves allow more lending in later rounds.

It is unchanged because the money multiplier depends only on $rr$.

It decreases because holding excess reserves reduces the amount available to lend.

It increases because the central bank creates deposits to match excess reserves.

It becomes $\$200$ because reserves are the same as new deposits.

Explanation

Banks create money through lending, but holding excess reserves beyond the requirement reduces the expansion. With a reserve requirement ($rr$) of 10%, normally a $\$1{,}000$ deposit allows $$900$ in loans, but holding $\$200$ in reserves decreases lending and thus the maximum deposit expansion, as in choice A. This happens because excess reserves tie up funds that could otherwise generate new deposits. A common misconception is that banks print money, but they expand deposits by loaning out available reserves, not by printing. Use the transferable strategy of tracking deposits, comparing held versus required reserves, and adjusting loans to see how excess holdings limit growth.

4

Given the reserve requirement ($rr$) is 25% and an initial deposit of $\$800$ is made into Bank A, assume no excess reserves and no currency drain. What is the maximum total increase in checkable deposits created by the banking system?

$\$3{,}000$ because the central bank directly creates deposits equal to loans.

$\$200$ because banks can lend only the required reserves.

$\$3{,}200$ because the money multiplier is $rr=0.25$.

$\$800$ because deposits cannot increase beyond the initial deposit.

$\$3{,}200$ because the money multiplier is $1/rr=1/0.25$.

Explanation

Banks facilitate money creation by lending out excess reserves, which leads to repeated rounds of deposits and loans in the banking system. The reserve requirement (rr) of 25% requires holding 25% of deposits as reserves, with the money multiplier being 1/0.25 = 4 for expansion calculations. For an initial $800 deposit, this multiplier yields a maximum $3,200 increase in checkable deposits, making choice D correct. A common misconception is that banks print money, but they expand the money supply through loan creation that generates new deposits without printing currency. Use the transferable strategy of tracking each deposit, computing required reserves, and monitoring loans to see how the process multiplies the initial amount across banks.

5

Given the reserve requirement ($rr$) is 20% and an initial deposit of $\$500$ is made into Bank A, assume no excess reserves and no currency drain. Which interpretation best explains why the money supply (checkable deposits) can increase after the initial deposit?

The money supply rises because reserves are counted as loans in the money supply.

Banks create additional checkable deposits when they make loans that are redeposited.

The central bank directly credits household checking accounts when banks lend.

The money supply rises only when banks convert reserves into physical currency.

Banks expand the money supply by lending out their required reserves each round.

Explanation

Banks create money not by printing, but by making loans that increase checkable deposits when funds are redeposited. With a reserve requirement (rr) of 20%, the process allows multiple expansions from an initial $500 deposit as loans create new deposits, best explained by choice A. This interpretation is accurate because each loan adds to the money supply through redeposition in the banking system. A common misconception is that banks print money, but they expand it via fractional reserve lending without producing currency. Utilize the transferable strategy of tracking deposits, reserves held, and resulting loans to illustrate why the money supply grows beyond the initial amount.

6

Given the reserve requirement $rr=0.20$ and an initial deposit of $\$1{,}000$ into Bank A, assume Bank A initially has no excess reserves. Bank A makes the maximum loan and the borrower deposits the loan proceeds into Bank B. What is the maximum loan Bank B can make from that new deposit?

$\$640$

$\$1{,}000$

$\$800$

$\$200$

$\$160$

Explanation

Money creation occurs through sequential rounds of deposits and loans across multiple banks. Bank A receives $1,000 and with a 20% reserve requirement, must hold $200 in reserves, lending out $800. When this $800 is deposited in Bank B, Bank B must hold 20% of $800 = $160 as required reserves. Bank B can then lend out the remaining $800 - $160 = $640. This demonstrates how each bank in the chain can lend a smaller amount than the previous one, with the lending capacity decreasing by the reserve requirement percentage each round. A common error is thinking banks can lend their reserves or print money, when actually they create deposits by lending excess reserves. The strategy is to calculate each bank's loan as: previous bank's loan × (1 - reserve requirement).

7

Given a reserve requirement of $rr=25%$, a customer deposits $\$800$ in Bank A. Bank A lends out all excess reserves, and each loan is fully redeposited into the banking system (no currency drain). Which statement best explains why the money supply can increase in this process?

The central bank directly creates new checkable deposits whenever banks make loans.

Banks increase checkable deposits by creating a matching deposit when they issue loans.

Banks increase the money supply only if the reserve requirement is $100%$.

Banks increase the money supply by lending out their required reserves.

Banks increase the money supply because reserves are counted as loans in $M1$.

Explanation

Banks increase the money supply through the loan creation process, where making a loan simultaneously creates a new deposit. When Bank A receives an $800 deposit with a 25% reserve requirement, it holds $200 as required reserves and lends $600. This loan doesn't reduce Bank A's deposits; instead, when credited to the borrower's account, it creates a new $600 deposit (either at Bank A or another bank). This new deposit can support further lending, continuing the money multiplication process. The correct answer recognizes that banks create deposits when they make loans, not that the central bank creates deposits or that banks lend their required reserves (which they must hold). A common misconception is that banks need the central bank to create new money for each loan. The strategy: understand that loans = new deposits = money creation.

8

Given the reserve requirement $rr=0.10$ and an initial deposit of $\$1{,}000$ into Bank A, assume banks lend out all excess reserves. Now assume a currency drain occurs: households hold $20%$ of each loan in cash and redeposit the remaining $80%$ into banks. Compared with the no-currency-drain case, what happens to the maximum expansion of checkable deposits?

It becomes zero because any currency drain prevents banks from making loans.

It is larger because holding cash counts as additional reserves for banks.

It is larger because banks can lend out required reserves when cash is held.

It is unchanged because the reserve requirement alone determines the multiplier.

It is smaller because some funds leave the banking system as cash and cannot be re-lent.

Explanation

Currency drain reduces the money multiplier because it removes funds from the banking system's lending cycle. Without currency drain, a $1,000 deposit with a 10% reserve requirement could expand deposits by $1,000 × (1/0.10) = $10,000. However, when households hold 20% of each loan as cash, only 80% returns as deposits for the next lending round. This reduces the effective amount available for relending at each stage, shrinking the overall multiplier. The misconception that banks print money ignores how currency drain breaks the deposit-loan-redeposit chain. To analyze currency drain effects, track both the cash held outside banks and the reduced deposits available for lending—the multiplier becomes smaller than 1/rr when any funds leave the banking system.

9

Given a reserve requirement of $rr=12.5%$, a customer deposits $\$2{,}000$ in Bank A. Under the full-lending assumption (no excess reserves and no currency drain), what is the maximum total increase in checkable deposits in the banking system?

$\$1{,}750$ because banks can lend only the required reserves.

$\$16{,}000$ because the money multiplier is $1/0.125$.

$\$250$ because required reserves are $12.5%$ of deposits.

$\$2{,}250$ because deposits rise by required reserves plus the initial deposit.

$\$8{,}000$ because the money multiplier equals $rr$.

Explanation

The money multiplier formula determines the maximum expansion of deposits in the banking system. With a 12.5% reserve requirement, the money multiplier equals 1/rr = 1/0.125 = 8. When a customer deposits $2,000, the maximum total increase in checkable deposits equals the initial deposit times the multiplier: $2,000 × 8 = $16,000. This includes the original $2,000 deposit plus $14,000 in new deposits created through successive rounds of lending. Banks achieve this by lending out excess reserves at each stage, with each loan becoming a new deposit. A common misconception is that the multiplier equals the reserve requirement itself rather than its reciprocal. The key strategy: maximum deposit expansion = initial deposit × (1/rr), assuming full lending and no currency drain.

10

Given a reserve requirement of $rr=20%$ and an initial deposit of $\$1{,}000$ into Bank A, Bank A makes a loan using excess reserves, and the loan proceeds are deposited into Bank B. Which interpretation best explains why the money supply (measured as checkable deposits) can increase even though the initial cash deposit was only $$1{,}000$?

Checkable deposits rise because the reserve requirement equals the money multiplier in all cases.

Checkable deposits rise because banks create new deposits when they make loans backed by excess reserves.

Checkable deposits rise because reserves are identical to loans and both count as deposits.

Checkable deposits rise because the central bank directly credits new deposits to borrowers’ accounts.

Checkable deposits rise because required reserves are lent out and then redeposited as new reserves.

Explanation

Banks create new money by making loans that become deposits, not by printing currency or through central bank magic. When Bank A receives $1,000 and has a 20% reserve requirement, it keeps $200 as reserves and lends $800. This loan creates a new $800 deposit when the borrower spends it and the recipient deposits it in Bank B—now there's $1,800 in total deposits from the original $1,000 cash. Bank B then keeps 20% of $800 ($160) and lends $640, creating another new deposit, and the process continues. The key insight is that banks create deposits by crediting borrowers' accounts when making loans backed by excess reserves. Many students mistakenly think the central bank directly creates these deposits or that banks lend out their required reserves, but neither is true. Understanding that loans create deposits is fundamental to grasping how the banking system expands the money supply.

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