Question 6.P.5: The following information is for Blue Sky National Bank:

The following information is for Blue Sky National Bank:

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Interest income $2,200
Interest expense $1,400
Total assets $45,000
Securities losses or gains $21
Earning assets $40,000
Total liabilities $38,000
Taxes paid $16
Shares of Common Stock outstanding 5,000
Noninterest income $800
Noninterest expense $900
Provision for loan losses $100
Please calculate:
ROE
ROA
Net interest margin
Earnings per share
Net noninterest margin
Net operating margin

 

\operatorname{ROE}=\frac{\$ 605}{\$ 45,000-\$ 38,000} \quad ROA =\frac{\$ 605}{\$ 45,000}

 

= 0.0864or 8.64 percent            = 0. 0134 or 1.34 percent

 

\text { Net Interest Margin }=\frac{\$ 2,200-\$ 1400}{\$ 40,000}=\frac{\$ 800}{\$ 40,000}=0.02 \text { or } 2 \text { percent }

 

\text { Earnings Per Share }=\frac{\$ 605}{5,000}=\$ .121 \text { per share }

 

\text { Net Noninterest Margin }=\frac{\$ 800-\$ 900}{\$ 40,000}=\frac{-\$ 100}{\$ 40,000}=-0.0025 \text { or }-0.25 \text { percent }

 

\text { Net Operating Margin }=\frac{(\$ 2,200+\$ 800)-(\$ 1,400+\$ 900+\$ 100)}{\$ 45,000}=\frac{\$ 600}{\$ 45,000}=0.0133 \text { or } 1.33 \text { percent }

 

Alternative Scenario a:

 

Suppose interest income, interest expenses, noninterest income, and noninterest expenses each increase by 5 percent, with all other revenue and expense items shown in the preceding table remain unchanged. What will happen to Blue Sky’s ROE, ROA, and earnings per share?.

 

Interest income $2,310
Interest expense $1,470
Total assets $45,000
Securities losses or gains $21
Earning assets $40,000
Total liabilities $38,000
Taxes paid $16
Shares of Common Stock outstanding 5,000
Noninterest income $840
Noninterest expense $945
Provision for loan losses $100

 

\operatorname{ROE}=\frac{\$ 640}{\$ 45,000-\$ 38,000} \quad ROA \quad=\frac{\$ 640}{\$ 45,000}

 

= 0.0914 or 9.14 percent        = 0.0142 or 1.42 percent

 

\text { Net Interest Margin }=\frac{\$ 2310-\$ 1470}{\$ 40,000}=\frac{\$ 840}{\$ 40,000}=0.021 \text { or } 2.10 \text { percent }

 

\text { Earnings Per Share }=\frac{\$ 640}{5.000}=\$ .128 \text { per share }

 

\text { Net Noninterest Margin }=\frac{\$ 760-\$ 855}{\$ 40,000}=\frac{-\$ 95}{\$ 40,000}=-0.00238 \text { or }-.24 \text { percent }

 

\text { Net Operating Margin }=\frac{(\$ 2090+\$ 760)-(\$ 1,330+\$ 855+\$ 100)}{\$ 45,000}=\frac{\$ 565}{\$ 45,000}=0.0126 \text { or } 1.26 \text { percent }

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