In: Finance
RETURN ON EQUITY AND QUICK RATIO
Lloyd Inc. has sales of $150,000, a net income of $15,000, and the following balance sheet:
Cash | $48,285 | Accounts payable | $51,330 | |
Receivables | 77,430 | Notes payable to bank | 26,535 | |
Inventories | 191,400 | Total current liabilities | $77,865 | |
Total current assets | $317,115 | Long-term debt | 70,470 | |
Net fixed assets | 117,885 | Common equity | 286,665 | |
Total assets | $435,000 | Total liabilities and equity | $435,000 |
The new owner thinks that inventories are excessive and can be lowered to the point where the current ratio is equal to the industry average, 2x, without affecting sales or net income.
If inventories are sold and not replaced (thus reducing the
current ratio to 2x); if the funds generated are used to reduce
common equity (stock can be repurchased at book value); and if no
other changes occur, by how much will the ROE change? Do not round
intermediate calculations. Round your answer to two decimal
places.
%
What will be the firm's new quick ratio? Do not round intermediate calculations. Round your answer to two decimal places.
x
solution:
Current ratio = Current Assets / Current Liabilities
Current Assets at present= cash + Receivables+ inventory = 48285 + 77430+ 191400= $317115
Current Liabilities = Account Payable + notes payable to bank= 51330+26535= $77865
Future current ratio = NewCurrent assets / Current liabilities
2 = New Current Assets /77865
Therefore, new current Assets = $77865*2= $155730
At present, current Assets amounts to $317115, therefore they can be reduced by $317115-$155730= $161385
If $161385 generated are used to reduce common equity then the new common equity = $286665 - $161385= $125280.
New Inventories = $191400-$161385=$30015
Now, Current ROE= (Net Income/ common equity)*100= ($15000 / $286665)*100 =5.23%
New ROE= (Net income/ New common Equity)*100= ($15000/ $125280)*100= 11.97%
Therefore, ROE increased from 5.23% to 11.97%.
Now, New Quick ratio = (New Current Assets-New Inventories)/ Current liabilities=($155730-$30015)/$77865=1.61x