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A bank has $200 in checking deposits.Interest and noninterest costs on these acc

ID: 2798101 • Letter: A

Question

A bank has $200 in checking deposits.Interest and noninterest costs on these accounts are 4%.This bank has $400 in savings and time deposits with interest and noninterest costs of 8%.This bank has $200 in equity capital with a cost of 24%.This bank as estimated that reserve requirements, deposit insurance fees and uncollected balances reduce the amount of money available on checking deposits by 10% and on savings and time deposits by 5%.What is this bank’s before-tax cost of funds?

A)11.00%

B)11.32%

C)11.50%

D)12.00%

E)None of the above

Please show working!!! The answer is B

Explanation / Answer

Checking deposits = $200

Checking deposits after reduction = $180

Cost = $180 * 0.04 = $7.2

Savings & time deposits = $400

Savings and time deposits after reduction = $380

Cost = $380 * 0.08 = $30.4

Equity capital = $200

Cost = 0.24 * 200 = $48

Total costs = $7.2 + $30.4 + $48 = $85.6 (round this off to 86 otherwise answer won't match )

Total funds = $180 + $380 + $200 = $760

Before tax cost of funds = $86/$760 = 11.32%

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