In: Finance
The financial statements for THE Bank are shown below:
Balance Sheet THE Bank | ||||||||
Assets | Liabilities and Equity | |||||||
Cash | $ | 220 | Demand deposits | $ | 2,470 | |||
Demand deposits from other FIs | 620 | Small time deposits | 4,820 | |||||
Investments | 1,820 | Jumbo CDs | 1,445 | |||||
Federal funds sold | 920 | Federal funds purchased | 1,020 | |||||
Loans | 6,920 | Equity | 815 | |||||
Reserve for loan losses | (700 | ) | ||||||
Premises | 770 | |||||||
Total assets | $ | 10,570 | Total liabilities/equity | $ | 10,570 | |||
Income Statement THE Bank | |||
Interest income | $ | 2,470 | |
Interest expense | 1,650 | ||
Provision for loan losses | 100 | ||
Noninterest income | 260 | ||
Noninterest expense | 430 | ||
Taxes | 60 | ||
a. Calculate THE Bank’s earning assets.
b. Calculate THE Bank’s ROA. (Round your
answer to 3 decimal places. (e.g., 32.161))
c. Calculate THE Bank’s total operating
income.
d. Calculate THE Bank’s spread. (Do not
round intermediate calculations. Round your answer to 3 decimal
places. (e.g., 32.161))
Solution: | |||
a) | |||
THE Bank's earnings assets = Investments + Federal Funds sold + Loans - Reserve for loan losses | |||
$1820+$920+$6920-$700 | |||
$8960 | |||
b) | |||
THE Bank ROA = Net Income /Total Assets*100 | |||
$490/$10570*100 | |||
4.635761589 | |||
THE Bank ROA = 4.636% | |||
Net Income = Interest income - Interest expense - Provision for loan losses + Noninterest income - Noninterest expense - Taxes | |||
$2470-$1650-$100+$260-$430-$60 | |||
$490 | |||
c) | |||
THE Bank's Total Operating Income: | |||
THE Bank's Total Operating Income = Interest income + Non interest Income | |||
$2470+$260 | |||
$2730 | |||
THE Bank's Total Operating Income = $2730 | |||
d) | |||
THE Bank's spread: | |||
Spread = (Interest Income/Earnings Assets )Less (Interest Expense/(Small time deposits+Jumbo CDs+Federal Funds Purchase) | |||
[($2470/8960)-($1650/($4820+$1445+$1020)] | |||
0.049176849 | |||
THE Bank's spread = 4.918% | |||