By: Miss Chan Chin Hung, Amy Sec F.5 Economics Deposit Creation
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
1st round:$1000 2nd round:$750 Increase in deposits after 2 rounds = ?????
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
§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
§Excess reserves: Reserves in excess of the required
§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
PUBLIC BANK
PUBLIC BANK $1000
PUBLIC BANK $1000 $750
PUBLIC BANK $1000 $750
$1000 $750 $562.5 $750 PUBLIC BANK
$1000 $750 $562.5 $750 PUBLIC BANK $562.5
$1000 $750 $562.5 $750 $562.5 $421.9 $421.9 $ PUBLIC BANK
Round 1$1000 Round 2$750 Round 3$562.5 Round 4$421.9 Round ……
= $ $750 + $ … = $ $1000(0.75) + $1000(0.75) $1000(0.75) n-1 = $1000/(1-0.75) = $1000 x 0.25 = $4000
Total Deposits Created =Banking multiplier x initial deposits
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
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.
Bank E’s balance sheet after Peter’s deposit of $2000: AssetsLiabilities Total ReservesDeposits Loan$5000 $11000 $6000 x 0.2 = $2200 $ $2200 = $3800 Required Reserves = $11000 Excess Reserves =
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
Bank multiplier = 1 Required reserve ratio Total deposit increment = initial deposit x banking multiplier