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By: Miss Chan Chin Hung, Amy Sec 1-9-01 F.5 Economics Deposit Creation
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The above processes repeat through Banks D,E,F… until excess reserve equals zero. The Money Flow in Simulation Game MARY Bank A $1000 Deposits JOHN $750 Shoe Seller LOAN $750 PAY Bank B $750 Deposits ANN $187.5 LOAN rrr = 0.25
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1st round:$1000 2nd round:$750 Increase in deposits after 2 rounds = ?????
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Assumptions §Fractional reserve system §Banks offer demand deposits only §There is no cash leakage §Banks will lend all their excess reserves §There is sufficient demand for bank loans
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§Fractional reserve system: a system under which banks are required to keep a fraction of its deposits as reserves §Minimum required reserve ratio (rrr): minimum ratio of reserves to deposits which banks are required by law to keep
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§Excess reserves: Reserves in excess of the required
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§rrr = 25% §Mary puts $1000 into her account in Bank A. This is the initial deposits into the banking system. MARY Bank A $1000 Deposits
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PUBLIC BANK
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PUBLIC BANK $1000
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PUBLIC BANK $1000 $750
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PUBLIC BANK $1000 $750
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$1000 $750 $562.5 $750 PUBLIC BANK
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$1000 $750 $562.5 $750 PUBLIC BANK $562.5
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$1000 $750 $562.5 $750 $562.5 $421.9 $421.9 $316.4.... PUBLIC BANK
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Round 1$1000 Round 2$750 Round 3$562.5 Round 4$421.9 Round ……
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= $1000 + $750 + $562.5 + … = $1000 + $1000(0.75) + $1000(0.75) 2 +... + $1000(0.75) n-1 = $1000/(1-0.75) = $1000 x 0.25 = $4000
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Total Deposits Created =Banking multiplier x initial deposits
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In our example, §Mary deposits $1000 into her account §rrr = 0.25 §Banking multiplier = 1/0.25 = 4 Total Deposits Created = $1000 x 4 = $4000
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1. Bank E’s balance sheet: AssetsLiabilities Total Reserves$4000Deposits$9000 Loan$5000 Suppose the minimum required reserve ratio is 0.2. Find Bank E’s excess reserves after Peter deposits $2000 into his account in Bank E.
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Bank E’s balance sheet after Peter’s deposit of $2000: AssetsLiabilities Total ReservesDeposits Loan$5000 $11000 $6000 x 0.2 = $2200 $6000 - $2200 = $3800 Required Reserves = $11000 Excess Reserves =
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2.At r = 0.2, what is the maximum amount of deposits created by the banking system? Maximum deposits created = $2000 x banking multiplier = $2000 x 1/0.2 = $2000 x 5 = $10000
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Bank multiplier = 1 Required reserve ratio Total deposit increment = initial deposit x banking multiplier
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