Macroeconomics

‭Table 1: Example of a Commercial Bank’s T-account (Assets and Liabilities)‬ ‭Assets‬

‭Liabilities and Net Worth‬

‭Reserves

$10 million‬

‭Deposits

$60 million‬

‭Loans

$80 million‬

‭Net worth

$30 million‬

‭Total

$90 million‬

‭Total

$90 million‬

‭Notable:‬ ‭●‬ ‭The‬ ‭net‬ ‭worth‬ ‭is‬ ‭what‬ ‭“balances”‬ ‭the‬ ‭T-account‬ ‭or‬ ‭balance‬ ‭sheet‬ ‭(difference‬‭between‬‭assets‬ ‭and liabilities).‬ ‭●‬ ‭When‬ ‭some‬ ‭item‬ ‭on‬ ‭the‬ ‭bank’s‬ ‭T-account‬ ‭changes,‬ ‭there‬ ‭must‬ ‭be‬ ‭at‬ ‭least‬ ‭one‬ ‭other‬ ‭change‬ ‭elsewhere‬ ‭to‬ ‭maintain‬ ‭balance‬ ‭.‬ ‭For‬ ‭example,‬ ‭if‬ ‭the‬ ‭bank’s‬‭reserves‬‭increase‬‭by‬‭$100,‬‭its‬‭loans‬ ‭decrease by $100 (or any other fractional combination occurs to maintain balance).‬ ‭Reasons for Holding Reserves‬ ‭A‬ ‭bank‬ ‭run‬ ‭occurs‬ ‭when‬ ‭many‬ ‭depositors‬ ‭or‬ ‭customers,‬ ‭who‬ ‭have‬ ‭claims‬ ‭on‬ ‭a‬ ‭bank‬ ‭(deposits),‬ ‭simultaneously‬‭request‬‭to‬‭withdraw‬‭their‬‭funds.‬‭This‬‭imposes‬‭liquidity‬‭problems‬‭for‬‭banks‬‭who‬‭may‬‭not‬ ‭always‬ ‭be‬ ‭ready‬ ‭to‬ ‭convert‬ ‭assets‬ ‭into‬ ‭cash.‬ ‭This‬ ‭is‬ ‭why‬ ‭it‬‭is‬‭mandatory‬‭for‬‭all‬‭banks‬‭to‬‭maintain‬‭a‬ ‭minimum‬ ‭percentage‬ ‭out‬ ‭of‬ ‭their‬ ‭total‬ ‭deposits‬ ‭as‬ ‭cash‬ ‭or‬ ‭reserves‬ ‭at‬ ‭the‬ ‭Fed‬ ‭referred‬ ‭to‬ ‭as‬ ‭required‬ ‭reserves‬ ‭.‬ ‭This‬ ‭percentage‬ ‭is‬ ‭referred‬ ‭to‬ ‭as‬‭the‬ ‭required‬‭reserve‬‭ratio‬ ‭or‬ ‭reserve‬‭requirement‬ ‭(rr)‬ ‭.‬ ‭For‬ ‭instance,‬ ‭if‬ ‭the‬ ‭reserve‬‭ratio‬‭is‬‭10%‬‭and‬‭a‬‭bank‬‭has‬‭$50‬‭million‬‭in‬‭deposits,‬‭the‬‭bank‬‭must‬‭hold‬‭$5‬ ‭million as reserves at the Fed ($50 million × 0.1).‬ ‭If not provided with its fnal value, the reserve requirement is calculated as follows:‬ ‭× 100‬ ‭ ‬‭‬‭ ‬‭‬‭ ‬‭‬‭ ℎ ‬‭‬‭ ‬ ‭ ‬‭‬‭ ‬ ‭The‬‭difference‬‭between‬‭the‬‭bank’s‬‭actual‬‭reserves‬‭and‬‭required‬‭reserves‬‭is‬‭the‬ ‭excess‬‭reserves‬ ‭.‬‭In‬‭other‬ ‭words,‬‭excess‬‭reserves‬‭represent‬‭the‬‭remainder‬‭of‬‭the‬‭deposited‬‭money‬‭that‬‭banks‬‭are‬‭not‬‭required‬‭to‬ ‭keep on hand. Banks can make loans of the excess reserves or keep them in their vaults.‬ ‭Excess reserves = actual reserves − required reserves‬ ‭ ⇒ ‬‭Excess reserves = deposits − (deposits × rr)‬ ‭In the previous example, excess reserves are equal to $45 million ($50 million − $5 million).‬ ‭rr =‬ ‭This ratio is used to calculate the required reserves (the amount to be kept at the Fed) as follows:‬ ‭Required reserves = total deposits × reserve requirement (rr)‬

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