Macroeconomics

‭A‬ ‭bank‬ ‭that‬ ‭wants‬ ‭to‬ ‭lend‬ ‭out‬ ‭more‬ ‭money‬‭would‬‭keep‬‭more‬‭excess‬‭reserves.‬‭This‬‭reduces‬‭its‬‭risk‬‭of‬ ‭becoming‬‭insolvent‬‭when‬‭it‬‭has‬‭to‬‭repay‬‭its‬‭liabilities‬‭(unable‬‭to‬‭meet‬‭its‬‭long-term‬‭debts).‬‭Conversely,‬ ‭a‬ ‭bank that holds no excess reserves‬ ‭cannot make loans‬‭and is said to be‬ ‭fully loaned out‬ ‭.‬ ‭The Fractional-Reserve Banking System‬ ‭Fractional-reserve‬ ‭banking‬ ‭is‬ ‭the‬ ‭prevailing‬ ‭system‬ ‭in‬ ‭most‬ ‭economies.‬ ‭In‬ ‭this‬ ‭system,‬ ‭banks‬ ‭are‬ ‭required‬‭to‬‭hold‬ ‭only‬‭a‬‭fraction‬‭of‬‭deposits‬‭as‬‭reserves‬ ‭,‬‭allowing‬‭them‬ ‭to‬‭lend‬‭the‬‭remaining‬‭funds‬‭to‬ ‭borrowers‬ ‭.‬‭This‬‭practice‬‭is‬‭based‬‭on‬‭the‬‭assumption‬‭that‬‭not‬‭all‬‭depositors‬‭will‬‭simultaneously‬‭demand‬ ‭their‬ ‭funds.‬ ‭It‬ ‭also‬ ‭allows‬ ‭banks‬ ‭to‬ ‭create‬ ‭new‬ ‭money‬ ‭through‬ ‭lending‬ ‭.‬ ‭In‬ ‭addition,‬ ‭this‬ ‭system‬ ‭assumes‬‭that‬‭banks‬‭loan‬‭out‬‭all‬‭of‬‭their‬‭excess‬‭reserves‬‭and‬‭that‬‭all‬‭the‬‭money‬‭taken‬‭out‬‭as‬‭loans‬ ‭from one bank are deposited entirely‬ ‭.‬

‭Let’s examine how this system works through a numerical example.‬

‭Table 2: A Simple Demonstration of the Fractional-Reserve Banking System‬ ‭Banks’ Customers‬ ‭Required Reserves at rr = 10%‬

‭Excess Reserves Loaned Out‬

‭Individual A deposits $1,000‬

‭($1,000 × 0.1) = $100‬

‭($1,000 − $100) =‬ ‭$900 to individual B‬

‭Individual B deposits $900‬

‭$90‬

‭$810 to individual C‬

‭Individual C deposits $810‬ ‭_‬ ‭_‬ ‭_‬ ‭$729 to Individual D‬ ‭_‬ ‭_‬ ‭_‬ ‭This process continues until there are no more reserves to be given out as loans and deposited into‬ ‭banks.‬ ‭$81‬ ‭_‬ ‭_‬ ‭_‬

‭By‬ ‭loaning‬ ‭out‬ ‭from‬ ‭excess‬ ‭reserves,‬ ‭the‬ ‭bank‬ ‭has‬ ‭added‬ ‭to‬ ‭the‬ ‭economy’‬ ‭money‬ ‭supply.‬ ‭However,‬ ‭banks‬‭cannot‬‭create‬‭unlimited‬‭amounts‬‭of‬‭money.‬‭What‬‭determines‬‭the‬‭limit‬‭of‬‭how‬‭much‬‭money‬‭a‬‭bank‬

‭can create? The money multiplier.‬ ‭The Simple Money Multiplier‬

‭The‬ ‭simple‬‭money‬‭multiplier‬‭(MM)‬ ‭allows‬‭us‬‭to‬‭calculate‬‭how‬‭much‬‭the‬‭money‬‭supply‬‭(MS)‬‭will‬‭change‬ ‭when‬ ‭new‬ ‭money‬ ‭is‬ ‭introduced‬ ‭into‬ ‭the‬ ‭banking‬ ‭system‬ ‭(i.e.,‬ ‭when‬ ‭the‬ ‭monetary‬ ‭base‬ ‭MB,‬ ‭which‬ ‭comprises currency in circulation and bank reserves, changes).‬ ‭1‬ ‭ ‬‭‬‭ ‬‭‬(‭ ‬) ‭Using the money multiplier, we can calculate the maximum total change in money supply and the‬ ‭maximum increase in loans as follows:‬ ‭MM =‬

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