Question

Angus Bank holds no excess reserves but complies with the reserve requirement. The required reserves ratio is 8​%, and reserves are currently ​$25 million. The amount of deposits is ​$ 312.5 million. ​(Round your response to one decimal​ place.) The reserve shortage created by a deposit outflow of ​$4 million is ​$ ____ million.

Answer 1

Answer:

$3.68 million

Explanation:

Reserve Ratio = 8%

Reserves are currently = ​$25 million

Amount of deposits = ​$ 312.5 million

Deposit outflow = ​$4 million

Remaining Deposits =  Amount of deposits - Deposit outflow

                                  = $ 312.5 million - $4 million

                                  = $308.5 million

Current Required Reserve after outflow of deposits(CR):

= $25 million - ​$4 million

= $21 million

Therefore,

Shortage of Reserve = CR - (Remaining Deposits × Reserve Ratio)

                                   = $21 - ($308.5 × 0.08)

                                   = $21 - $24.68

                                   = -($3.68)

Therefore, the reserve shortage created by a deposit outflow of ​$4 million is ​$3.68 million