A commercial bank has $150 in reserves, $450 in loans, $440 in checkable deposits and $160 in capital. If the bank suffers a write down in loan asset value of $25, what is the new capital to total asset ratio (capital/assets)?
Group of answer choices
A) 12.5%
B) 15.5%
C) 20%
D)23%
Ans: Total Assets of commercial bank before write off = Reserves + Loans
= $150 +$450 = $600
Total Liabilties of commercial bank before write off = Checkable Deposits + Capital
= $440 + $160 = $600
After write down in loan asset value of $25 loans value gets reduced by $25 and capital also gets reduced by $25.
New value of loans = $450 - $25 = $425
New Total Assets of commercial bank after write off = $150 + $425 = $575
New capital of commercial bank = $160 - $25 = $135
New capital to total assets ratio = New capital / Total assets
= $135/ $575 = 0.234 =23%
So option (d) is correct.
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