1 reference: chapter 1 and 11 ( book 2 ) accounting ratio 17
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1 Mark-up (加成 )
e.g. : Cost of sales = $4 Gross profit = $1Ans. : Mark-up = $1 ÷ $4
= ¼ or 25
%Explanation : Every $4 c
ost has $1 profit
Mark-up = Gross profit ÷ Cost of sales X 100%
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e.g.: Sales = $5 Gross profit = $1
Ans.: Gross profit margin = $1 ÷ $5 = 1/5 or 20%
Explanation: Every $5 sales has $1 profit.
Gross-profit margin = Gross profit ÷ Sales X 100%
2 Gross profit margin (毛利率 )
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Mark-up changes to gross profit marginIf mark-up is ¼Denominator ( 分母 ) + 1Gross profit margin is 1/5
Gross profit margin changes to mark-up
If gross profit margin is 1/3Denominator ( 分母 ) - 1Mark-up is 1/2
The relationship between mark-up and margin
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e.g. : Sales = $100 Net profit = $40
Ans. : Net profit margin = $40 ÷ $100 X 100%
= 40% Explanation : Every $100 sales h
as $40 net profit.
Net profit margin = Net profit ÷ Sales X 100%
3 Net profit margin (純利率 )
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e.g. : Operating expenses = $400
Sales = $1000Ans : Expenses–sales ratios
= ( $400 ÷ $1000 ) × 100% = 40%Explanation : Every $100 Sales spends $40 expenses 。
Expenses-sales ratios =( Operating expenses ÷Sales ) × 100%
4 Expenses–sales ratios• shows how much of expenses spends on every $100 of sales
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e.g. : Capital = $1000 Net profit = $200
Ans. : Rate of returns on capital employed
= ( $200 ÷ $1000 ) × 100% = 20%Explanation : Every $100 capital earned $20
net profit.
Rate of returns on capital employed=( Net profit ÷ Capital employed* ) × 100%
*Capital employed: can be average capital
5 Rate of returns on capital employed•Rate of returns on capital employed gives an overall picture of the profitability of the company.
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• Current ratio measures current assets against current liabilities.
Current ratio = Current assets÷Current liabilities
Current ratio = Current assets : Current liabilities = Z : 1
1 Current ratio / Working capital ratio
Or
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Explanation : Current assets are double to current liabilities.
• If the current ratio is too high (Normal level is 2: 1), the firm may have excessive current assets 。
• If the current ratio is too low, the firm may have insufficient current assets to meet its short-term liabilities.
Ans. : Current ratio = $200 : $100
= 2 : 1
e.g. : Current assets = $200
Current liabilities = $100
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2 Quick ratio / Acid test ratio• Quick ratio is a stricter measure of liquidity .• Current asset, can be converted into cash
quickly, compares with the current liabilities.
Current =( Current - Stock ) ÷ Current ratio assets Liabilities
Current =( Current - Stock ) : Current ratio assets Liabilities = Y : 1
or
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e.g. : Current assets = $200Current liabilities = $100Stock = $50Ans : Current ratio = $200 - $50 :
$100 = 1.5 : 1Explanation : The current assets excluding stock is 1.5 times to the current liabilities.
• High quick ratio shows the ineffective use of current assets of the the company.
• Quick ratio is less than 1: 1 means there is not enough current assets to pay current liabilities.
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C Efficiency Ratios
• Efficiency ratios check whether the company utilises the assets efficiently (manages efficiently).
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1 Stock turnover rate• Stock turnover rate measures the
efficiency of the stock management.
Stock turnover rate = Cost of goods sold ÷ Average stock = Y times
Stock turnover rate=( Average stock ÷ Cost of goods sold ) × 365 days* = Y days
Average stock = ( Opening stock + Closing stock ) ÷ 2*365 days or 56 weeks or 12 months
or
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e.g. : Cost of goods sold = $100Opening stock = $10Closing stock = $30Ans. : Average stock = ( $10 +
$30 ) ÷ 2 = $20Stock turnover = $100 ÷ $20
= 5 timesor Stock turnover =( $20 ÷ $100 )
×365 days = 73 days
Explanation : The higher the stock turnover, the more profit we make.
• The lower the stock level , the higher the stock turnover rate.
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2 Debtors collection period / Debtors days / Credit period allowed to trade debtors
• Debtors collection period shows how long on average our debtors pay us.
Debtors collection period =( Debtors ÷ Sales ) × 365 days* = Y days
*365 days or 56 weeks or 12 months
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e.g. : Debtors = $100 Sales = $1000Ans. : Debtors collection perio
d=( $100 ÷ $1000 ) × 365
days = 36.5 daysExplanation : The debtors need 36.5 days to pay the debts.
The shorter the period, the better the liquidity of the company.
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3 Creditors repayment period / Creditors days/ Credit period received from trade creditors
• Creditors repayment period shows how long we pay our creditors.
Creditors repayment period =( Creditors ÷ Purchases ) × 365 days * = W days
*365 days or 56 weeks or 12 months
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e.g. : Creditors = $100Purchases = $800Ans. : Creditors repayment period
=( $100 ÷ $800 ) × 365 days = 45.6 days
Explanation : The company needs 45.6 days to pay the debts.
• The longer to pay the debts, the company losses the possible cash discounts.
• Too early payment affects the financial status of the company.
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D Steps on ratios analysis1. Explain the type of ratios it belongs
to , e.g. Profitability ratio.2. Compare the changes of each ratio,
i.e. increase or decrease.3. Explain the effect of the increase or
decrease of each ratio on different aspects, e.g. profitability.
4. Check whether there is any effect on other ratios.