In: Economics
Assume that a bank has checkable deposits of $990, loans of value $813 and reserves at $177. The bank then receives a new deposit of $224. The required reserve ratio is 11%. After the new deposit but prior to asset transformation, the bank has excess reserves of _____, and then after asset transformation, so that excess reserves go to zero, the bank's total value of loans is now _____ .
1) 267.46 , 1080.46
2) 267.46 , 1014.54
3) 255.14 , 1080.46
4) 255.14 , 1014.54
We have,
Reserve Ratio = 11% = 0.11
Initially before new deposits,
Checkable deposits = $ 990
Reserves = $ 177
Required Reserves (RR1) = Reserve Ratio * Checkable deposits
= 0.11 * $990 = $108.9
Excess Reserves (ER1) = Reserves - Required Reserves
= $177 - $108.9 = $68.1
After new deposit of $224 but prior to asset transformation,
Required reserves from new deposit = 0.11 * $224
= $24.64
Excess Reserves from New Deposits (ER2) = New Deposit - Required Reserves from new deposits
= $224 - $24.64
= $199.36
Hence, total excess reserves after the new deposit of $224 but prior to asset transformation is ER1 + ER2 = $68.1 + $199.36 = $267.46.
After asset transformation so that excess reserves go to zero,
Final deposits = $990 + $224 = $1214
Final Required Reserves = 0.11* $1214 = $133.54
Final Loan Value = Final Deposits - Final Required Reserves
= $1214 - $133.54
= $1080.46
Hence, correct answer of this question is option (1).