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% | |||