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What is the value of ratio analysis
Evaluate past performance
Assess current financial position
Project future earnings and cash flows
What is the purpose of ratio analysis?
Convert financial statement data into useful indicators of performance
Help understand relationships between financial variables
Support analysis of:
Profitability
Liquidity
Efficiency
Risk
Provide inputs for forecasting and decision-making
What are the limitations of ratio analysis?
Industry differences: Firms may operate in multiple industries, making comparisons difficult
Inconsistent signals: Different ratios may give conflicting conclusions
Judgment required: Ratios must be interpreted within context; no absolute “correct” value
Not a valuation tool alone: Cannot directly determine value or creditworthiness
Accounting method differences reduce comparability
What is common-size analysis of the balance sheet and what does it show?
Expresses each balance sheet item as a % of total assets
Shows the composition of assets and financing structure
Helps compare:
Asset mix over time
Capital structure
Differences vs peers
Useful for identifying changes in liquidity, leverage, or risk profile
What is common-size analysis of the income statement and what does it show?
Expresses each income statement item as a % of revenue
Shows cost structure and profitability drivers
Helps analyze:
Changes in margins (gross, operating, net)
Revenue mix (product/service breakdown)
Expense trends relative to sales
Useful for identifying shifts in profitability or cost pressures
What is cross-sectional analysis?
Compares financial metrics of different companies at the same point in time
Allows comparison across:
Different sizes
Different currencies
Industry peers
Helps assess:
Relative liquidity
Efficiency
Risk and asset structure
Useful for benchmarking performance against competitors
What is trend analysis in financial statement analysis?
Examines financial data over multiple periods over time
Focuses on:
Direction (improving or worsening trends)
Growth rates (absolute and percentage changes)
Can be presented as:
Year-over-year changes
Index/base-year comparisons
Helps forecast future performance and detect structural changes
What are the key relationships between financial statements important?
Revenue growth vs asset growth → efficiency changes
Net income vs operating cash flow → earnings quality
Divergences (e.g., rising income but falling cash flow) may signal:
Aggressive accounting
Weak earnings quality
when to use
Pie graphs
Line graphs
Stacked column graph
Pie: a communicate the composition of a total value
Line: focus is on the change in amount for a limited number of items over a relatively longer time period
Stacked column: When the composition and amounts, as well as their change over time, are all important,
What do activity ratios measure?
How efficiently a company uses its assets
What do liquidity ratios measure?
A company’s ability to meet short-term obligations.
What do solvency ratios measure?
A company’s ability to meet long-term obligations.
what do profitability ratios measure?
A company’s ability to generate profit from assets, equity, or sales.
What context to look at when analysing ratios?
Prior period results.
Expectations.
Industry peers and competitors (cross-sectional analysis).
Company goals and strategy.
Economic conditions.
Inventory turnover meaning and formula
Average inventoryCOS or COGS
How efficiently a company manages inventory and how quickly it sells inventory.
high = good
Days of inventory on hand (DOH) meaning and formula
Inventory turnoverNumber of days in period
The average number of days inventory is held before being sold.
Receivables turnover formula
Average receivablesRevenue
Days of sales outstanding (DSO) meaning and formula
Receivables turnoverNumber of days in period
The average number of days it takes to collect cash from customers.
Payables turnover meaning and formula
Average trade payablesCOS or COGS
how many times per year the company theoretically pays off all its creditors
high = not making full use of credit
Number of days of payables meaning and formula
Payables turnoverNumber of days in period
How quickly a company pays its suppliers.
high = trouble paying on time
Working capital turnover meaning and formula
Average working capitalRevenue
how efficiently the company generates revenue with its working capital
high = efficient
Fixed asset turnover
Average net fixed assetsRevenue
how efficiently the company generates revenues from its investments in fixed assets
high = efficient
Total asset turnover
Average total assetsRevenue
company’s overall ability to generate revenues with a given level of assets
what is liquidity?
ability to meet short term liabilities
Current ratio
Current LiabilitiesCurrent asset
ability to meet short term liabilities
higher = higher liquidity
Quick ratio
Current LiabilitiesCash + marketable securities + receivables
more conservative than the current ratio
higher = more liquid
cash ratio
Current LiabilitiesCash + marketable securities
measure of an entity’s liquidity in a crisis situation
Defensive interval ratio
Daily cash expendituresCash + marketable securities + receivables
how many days a company can pay its daily cash expenditures using only its existing liquid assets, without additional cash flow coming in
Cash conversion cycle
DOH + DSO – Number of days of payables
short: only need to finance inventory and accounts receivable for short time
long: may need higher level of capital
what is solvency?
company’s ability to fulfill its long-term debt obligations
Debt-to-assets ratio
Total assetsTotal debt
percentage of total assets financed with debt
higher → higher financial risk → weaker solvency
Debt-to-capital ratio
Total assets + total shareholder equityTotal debt
measures the percentage of a company’s capital (debt plus equity) represented by debt
higher → higher financial risk → weaker solvency
Financial leverage ratio
Average total equityAverage total assets
amount of total assets supported for each one money unit of equity
higer = more leveraged = using debt/ other liabilities to fund assets
Debt-to-EBITDA
EBITDATotal or net debt
how many years it would take to repay total debt based on earnings before income taxes, depreciation, and amortization
used in debt convenant or with investors
Interest Coverage
Interest payments EBIT
measures the number of times a company’s EBIT could cover its interest payments
higher = higher solvency
Fixed charge coverage
Interest payments + Lease paymentsEBIT + Lease payments
the number of times a company’s earnings (before interest, taxes, and lease payments) can cover the company’s interest and lease payments
higher = better solvency
what do profitability ratios measure?
the return earned by the company during a period
Gross profit margin
revenueGross profit
percentage of revenue available to cover operating and other expenses and to generate profit
higher = higher product prices and lower costs
operating profit
revenueoperating profit
Operating profit = gross profit - operating costs
operating profit margin increasing faster than the gross profit margin → improvements in controlling operating costs, such as administrative overheads.
declining operating profit margin → deteriorating control over operating costs.
net profit
revenuenet profit
Net profit, or net income = revenue - all expenses
Net income includes both recurring and non-recurring components
generally adjusted for non-recurring items to give better view of future profitability
Pretax Margin
revenueEBT
also called EBT
pretax margin = operating profit - interest
ratio of pretax income to revenue
reflects the effects on profitability of leverage and other (non-operating) income and expenses.
If non-operating income is increasing, analysts should assess whether it reflects a sustainable shift in business strategy or a temporary source of earnings.
Operating ROA
Average total assetsOperating income
returns are measured prior to deducting interest on debt capital (i.e., as operating income or EBIT)
reflects the return on all assets invested in the company, whether financed with liabilities, debt, or equity
ROA
Average total assetsNet income
return earned by a company on its assets
higher = more income generated by a given level of assets
issue:
net income = return to equity holders (interest already deducted)
but assets financed by both equity holders and creditors
some cases: adjust for interest → ROIC
some cases:pre-interest and pre-tax basis → operating ROA
Return on Invested Capital (ROIC)
Average total short and long-term debt and equityEBIT × (1 - Effective Tax Rate)
after-tax profitability a company earns on all of the capital that it employs (short-term debt, long-term debt, and equity)
measured prior to deducting interest on debt capital (i.e., as operating income or EBIT).
ROE
Average total equityNet income
measures the return earned by a company on its equity capital, including minority equity, preferred equity, and common equity.
measured as net income (i.e., interest on debt capital is not included in the return on equity capital).
variation of ROE is return on common equity, which measures the return earned by a company only on its common equity.
Return on common equity
Average common equityNet income-preferred dividends
basic dupont decomposition (into 2)
ROA * Leverage
when leverage ratio = 1 then ROE = ROA
How can a company increase ROE in the two-step DuPont model?
Increasing ROA (better profitability/efficiency)
Increasing financial leverage when return earned on borrowed funds exceeds the borrowing cost
What is the three-step DuPont decomposition formula?
ROE = Net profit margin × Total asset turnover × Leverage.
In the three-step DuPont model, ROE is a function of what three factors?
Profitability
Efficiency
Financial leverage
What is the five-step DuPont decomposition formula?
ROE = Tax burden × Interest burden × EBIT margin × Total asset turnover × Leverage.
What is the interest burden ratio?
EBTNet income
Measures how much pretax profit remains after taxes.
higher = lower effective tax rate and more pretax profit retained
what is interest burden ratio
EBITEBT
Measures the impact of interest expense on profitability.
higher = lower interest expense and borrowing costs
What is EBIT margin?
revenueEBIT
measures operating profitability before interest and taxes
How are ratio analysis and common-size analysis used in forecasting?
They help identify historical relationships and trends that can be projected into the future.
What is a pro forma financial statement?
A forecasted financial statement used for planning and financial analysis
What is sensitivity analysis?
what-if” analysis showing how outcomes change when assumptions change
to assess how changes in assumptions affect outcomes like earnings, financing needs, or asset investment.
examines one scenario
What is scenario analysis?
Analysis of outcomes resulting from specific economic or business events.
e.g loss of customers
loss of a supply source
catastrophic event.
If events are mutually exclusive and exhaustive and can be assigned probabilities
can evaluate range of outcomes and the mean and median value for various quantities of interest.
What is simulation analysis?
Computer-generated analysis using probability distributions for input variables
assigns probabilities to variables and runs many possible scenarios automatically.