• UNIT 10: INTERPRETATION OF FINANCIAL STATEMENTS

    Key unit competence: To be able to interpret financial statements using 
    ratios for an entity

    Introductory activity

     Observe the above picture and answer to the following questions:
     1. What do you think is the interpretation of financial statements?
     2. What is a financial ratio?
     3. What is the purpose of financial ratios?

     4. What are the broad categories of accounting ratios? 

    10.1. Introduction to financial statements interpretations
     Learning Activity 10.1

     Lois ltd company is a Company operating its business in Kigali city from 
    2019. At the end of the financial period ended 31st December 2021, 
    the owners hired the new accountant to present the business’s financial 
    statements. After preparing the financial statements, the owners asked the 
    accountant to explain the meaning of his results and he was not able to give 
    the real answer.  The owners of Lois ltd company want you to help them to 

    understand well the meaning of their financial statements results.

     a) Which tool are you going to use to understand the Financial 
    Statements results?
     b) What is the purpose of financial statement interpretation?

     c) What is the Importance of ratio method?

    10.1.1  Meaning of interpretation of financial statements
     Financial statements should be clear and understandable to enable users make 
    sound decision and judgments. They should also show corresponding figures 
    for the preceding period to afford comparison and analysis.

    Depending on the need and the accounting knowledge of the users, the 

    financial statements may not fully serve the required needs, however simple 
    they may appear to the accountant. It is therefore the duty of the accountant to 
    analyze and interpret the special language to non-accounting users so that they 
    may make the best use of financial statements to suit their special needs. The 
    accountant translates the information contained in the financial statements into 
    a form which is more helpful and can easily be understood by users. 

    In order to translate financial statements to users, some yardsticks or bases or 

    identifiable economic relationships are used. The commonly used yardsticks in 
    analyzing and interpreting financial statements are as follows:

    Annual or inter-period 

    The analysis of financial statements is based on the results achieved by the 
    business enterprise during a previous accounting period. This is only possible if 

    financial statements show corresponding figures for the preceding period.

    Inter-firm comparison
     The results of the firm and results of other closely related firms operating 
    within the same industry for the current period, also help in analyzing the firm’s 
    performance.

    •   Standards and budgets

     The management establishes standards and budgets upon which the 
    performance of the business is measured. The financial statements are therefore 
    analyzed based on these standards.

    Tools of financial analysis 

    There are several tools used in analyzing financial statements. These include:
     i. Ratio analysis: Liquidity, profitability, Solvency, operating or activity
     ii. Comparative financial statements (variations in %)
     iii. Common size statement
     iv. Trend ratios or trend analysis (changes in % from base year)
     v. Statement of changes in working capital
     vi. Funds flow and cash flow analysis
     vii. Graphics

     viii. Charts 

    10.1.2  Meaning and purpose of accounting ratios
     Definition of ratio

    Ratio can be defined as a proportional relationship between two significant 
    values (or significant magnitudes). It is an arithmetical relationship between 
    given items normally expressed as a fraction or a percentage or the numerical or 
    arithmetical relationship between two figures. It is expressed where one figure 

    is divided by another. 

    Ratio analysis
     Ratio analysis is one of the powerful tools of financial analysis which deals 
    with calculation and interpretation of ratios. It can be defined as the process of 
    ascertaining the financial ratios that are used for indicating the ongoing financial 

    performance of a company using a few types of ratios.

    Ratio analysis helps the analysts to make quantitative judgment with regard to 
    concern’s financial position and performance.

    Ratio can be expressed:

     • As a pure ratio e.g 1:2
     • As a decimal value, such as 0.10
     • As an equivalent percent, such as 10%
     • As a decimal number, especially when they are more than 1.

    Objectives/purpose of financial ratios/ financial statements 

    interpretation

    Use of ratios enable items appearing in financial statements to be translated and 

    interpreted using any suitable basis such as the past record of the business. 
    Comparison of the firm with other competitive business of the same nature, is 
    also possible by use of ratio analysis.

    In analyzing the financial statements of a business, ratio analysis has the following 

    objectives: 
    • Measure the profitability and adequacy of the profits of the business 
    enterprise. In this regard, users of financial statements would be able 
    to determine:
     a) Whether the profits earned by the business are rising or declining 
    over time and whether such profits are adequate to cover the cost 
    of sales and operating expenses, yet still leave a balance for the 
    proprietors.
     b) Whether the firm’s profits are stable over time
     c) The position of the firm’s profits as compared to the average annual 
    profits earned by competitors and similar firms operating in the same 
    industry.
     • Measure the worth of a business to its owners or equity holders. In this 
    regard, users would be able to determine:
     a) The return on equity or shareholders’ funds tied up in the business
     b) If the satisfaction that the current earnings are per share is realistic
     c) How realistic the current market price is for the firm’s shares.
     • Measure the liquidity, financial strength and the survival ability of the 
    business. In this regard, the users of financial statements would be able 
    to determine:
    a) The ability of the business to pay its short term debts as they fall 
    due, without having to sell the whole undertaking
    b) The financial stability of the business
    c) The ability of the enterprise to withstand a fall in the value of its 
    assets before the creditors’ position is prejudiced
     d) The ability of the business to generate enough revenue to cover 
    financial charges and leave a sufficient balance over for dividends, 
    expansion and provision to finance a loan capital repayment.
     • Measure the productivity of the assets and how efficient management 
    utilizes the economic resources placed at its disposal. In this regard, 
    the users would like to know:
     a) The extent of asset utilization and extent to which management uses 
    all available resources to generate sales.
     b) The collection period of accounts from credit customers
     c) How fast the business turns over its stock and the ability of 
    management to control the investment in stock.
     d) The average period of time taken to pay debts of the business 
    especially to settle accounts of creditors.
     • Measure the solvency, defensive and survival position of the business. 
    Users would be able to determine:
     a) The extended to which the firm’s assets are financed through 
    borrowing and its extent of trading on equity, i.e. using shareholders’ 
    funds.
     b) The level of the cushion of security of creditors
     c) The gearing or leverage into the capital structure of the business, in 
    other words, the relationship between capital and capital invested 

    by the ordinary shareholders.

    Importance of ratio method 
    Ratio method permits: 
    • To follow the evolution and progress of the financial situation of an 
    enterprise 
    • To set or to establish regularly the relationship between two values or 
    two subjects
     • To analyze and interpret the information extracted from the financial 
    statements
     • To compare an enterprise (financial position) with another (or industry) 
    in the same sector.    
    • To know the actual financial situation of an enterprise.
    •  It provides a basis for making future business policies.
     • It is used in evaluating the business and shares by investing on stock 

    exchange.

    The users of financial ratios
     Users of financial statements include owners -who are managers, owners –who 
    are shareholders, managers, government, creditors, potential buyers, suppliers, 
    customers, employees and general public.
     Each of these users has their own requirement of information. Financial 
    statements may meet some. Financial statements provide information that is 
    historical, summarized and highly selective.
     •  Internal Managers: To evaluate the performance of the business as 
    compared to the previous years or other firms in the same trade.
     • Existing and prospective shareholders: to make the investments 
    decisions on the basis of return on their investments.
     • Bank Managers and creditors: To make the decisions for providing 
    loans and credit facilities.
     • Security analysts: use financial ratios to compare the strengths and 
    weaknesses in various companies. If shares in a company are traded 
    in a financial market, the market price of the shares is used in certain 

    financial ratios. Etc

    Source of data for financial ratios
     Values used in calculating financial ratios are taken from the balance sheet, 
    income statement, statement of cash flows or (sometimes) the statement of 
    retained earnings. These comprise the firm’s accounting statements or financial 

    statements.

    Notes: The comparison of a firm’s ratios with other similar firms’ ratios, or 
    with industry figures, is known as A cross sectional analysis.
     Whereas the comparison of the firm’s own results in time is called Time series 

    analysis.

    Application activity 10.1
     1. You are hired as an accountant of any local company, appreciate the 
    need of financial ratios method in your work.
     2. An accountant of your local company is not understanding why different 
    users’ need its financial ratios and he/she is persisting offering them. 
    You are asked to help him/her knowing some users of accounting 

    information and why each of them needs that information. 

    10.2 Broad categories of ratios, their calculation and their 
    interpretation.

    Learning Activity 10.2


    From the above figure, 
    a) What are the broad categories of ratio analysis?
    b) Give examples to each category of ratio analysis.

    Financial ratios are categorized according to the financial aspect of the business 

    which the ratio measure. There are broadly classified into five categories:
     • Liquidity/working capital ratios measure the availability of cash to 
    pay debt 
    Activity ratios measure how quickly a firm converts non-cash assets 
    to cash assets. 
    • Debt ratios measure the firm’s ability to repay long-term debt. 
    • Profitability ratios measure the firm’s use of its assets and control of 
    its expenses to generate an acceptable rate of return.
     • Market ratios measure investor response to owning a company’s 

    stock and also the cost of issuing stock. 

    10.2.1  Liquidity ratios
     Liquidity: It is the ability of a business to pay its debts as they fall due and to 
    meet unexpected expenses within a reasonable settlement period. It is also an 
    indicator of a firm’s ability to generate enough cash to remain in existence.   

    Liquidity Ratios
    , also called working capital ratios. Those are the ratios that 
    attempt to indicate the ability of a business to meet its debts as they become due. 

    A business that has satisfactory liquidity will have sufficient funds, normally 

    referred to as working capital to pay creditors at the required time. This is vital 
    to ensure that good business relationships are maintained 
    The liquidity ratios include: 
    c)  Current ratio (or working capital ratio): It measures current 

    assets against current liabilities.

     This ratio shows whether the business is able to pay back its current liabilities 
    using only its current assets. The analysis of this ratio can be completed by the 

    analysis of facility of current assets to be turned into cash. 

    Interpretation: It is best for this ratio to be about 2 (or 2:1) i.e the current 
    asset must at least be twice as high as current liabilities. The rule says that the 
    current ratio should meet current liabilities at least twice. If the actual current 
    ratio is less than the standard ratio (current) of two to one (2:1), the conclusion 
    is that the concern does not enjoy sufficient liquidity and will not be able to meet 

    its short-term obligations and vice-versa.

    d) Quick ratio (or Acid test ratio):  The Acid test or quick ratio takes 
    into account only those current assets that are cash or can be changed 

    very quickly into cash. 

    This ratio shows whether there are enough liquid assets to be able to pay 
    current liabilities quickly. It is dangerous if this ratio is allowed to fall to a very 
    low figure. The analysis of this ratio should be completed by the comparison 
    analysis between collection period and payment period. Collection period 
    should precede repayment period. It is an acid test of solvency and measures 

    on how quickly current assets can be converted into cash.

    Is a more refined current ratio which exclude amount of stock of the firm. Stocks 
    are excluded for two basic reasons:
     i) They are valued on historical cost basis
     ii) They may not be converted into cash very quickly
     Interpretation: On average, a liquidity ratio 1:1 is considered adequate. 
    However, the most appropriate acid test ratio will definitely depend on the 

    nature of the business.

    c)  Cash ratio/absolute ratio/ super quick ratio: Indicates the cash 
    available to pay the liabilities. This is a refinement of acid test ratio 
    indicating the ability of the firm to meet its current liabilities from its 
    most liquid resources. It is more refined since it assumes that debtors 
    may not pay their accounts on time and stock will take time to convert 

    into cash. 

    Absolute assets mean cash in hand, cash at bank and readily marketable 
    securities.

    Interpretation:
    Actual absolute liquid ratio is compared to the standard of 1:2, 
    (the standard absolute liquid ratio is fixed at 1:2, because for the payments of 
    quick liabilities, besides 100% cash available from the absolute liquid assets, 
    a good amount of cash may also come from other current assets like bills 
    receivable

    d) Inventory to working capital ratio
     Inventory/ stock: Refers to the closing stock of raw materials, work in progress 
    (semi-finished goods) and finished goods.
     Working capital: The difference between current assets and current liabilities 

    or excess of current assets and current liabilities.

    The use of this ratio is to indicate that there is overstocking or understocking.

     Interpretation:
    As per the standard, inventory to working capital ratio, the 
    inventories should not absorb more than 75% of working capital. As such, 
    a low inventory to working capital ratio (a ratio of less than 75%) indicates 
    understocking and so, a high liquid position. While a high inventory indicates 
    overstocking, and so a low liquid position.

    Illustration 1. 

    Let’s assume that the balance sheet of Diane on 31/12/2011 shows the 

    following:

     As this ratio is greater than 1, it means that the working capital is positive, the 
    long financing covers all fixed assets and one part of current liabilities. It is good 

    situation.

    Determine the liquidity ratios studied knowing the sales values for period was 

    FRW 20,000 

     10.2.2  Activity / efficiency ratios/performance ratios/turn
    over ratios

     Activity or efficiency ratios measure the effectiveness of the firms use of 
    resources (assets) to generate sales/turnover and so profit.

    These ratios compare revenue figures with capital figures and may be used 

    in addition to the return on capital percentage to measure the management’s 
    efficiency in using available assets

    a) Stock turnover ratio/Inventory turnover ratio

    Every business should operate both to keep its stock to as low a figure as 
    possible without losing profitability, and to sell its goods as quickly as possible. 

    The stock turnover ratio measures how well the firm is managing to do these 

    things and indicates the velocity with which goods move out of the business. In 
    other words, it indicates the number of time the average stock of finished goods 
    is turned over or sold during a year. 

    Interpretation:
    a stock turnover of 8 times a year is considered ideal. As such, 
    a stock turnover of 8 times or more than 8 times indicates that more sales are 
    affected. i.e. the business is expanding, thus there is effective management of 
    inventory. On the other hand, a stock turnover of less than 8 times means that the 

    concern has accumulated useable goods. i.e. the business is not prosperous.

     Illustration1 
    Gross profit for product A: FRW 5 with Stock Turnover of 8
     The total gross profit: 5 x 8 = FRW 40
     If the stock turnover ratio goes up to 10. The gross profit will be 5 x 10 = FRW 50  
    Note: Average of stock is found by adding opening stock and closing stock and 

    dividing the sum by two. 

    Illustration 2
     Given that: Opening stock: 300 units at FRW 200 per unit
     Purchase account: 2 000 units for FRW 450 000

                                       Closing stock: 100 units for FRW 24 000

     Determine the:
     i. Stock turnover ratio
     ii. Inventory conversion period

     Value of opening stock: 200 x 300 = FRW60 000

    The stock is renewed more of 11 times during the year, after 32 days.
     c) Debtors to sales ratio or Debtors’ collection period or Debtors 
    ratio:

     Also called Average collection period (Number of days receivable), this 

    ratio assesses how long it takes for debtors (On average) to pay what they owe.

     This ratio is better to judge the quality of the debtors. In short, it indicates the 
    average period of credit allowed to debtors. It gives the number of days that 
    debtors (on average) take to pay up; it is debt period. 

    Interpretation
    : if the actual period of credit is more than normal period of 
    credit or ideal period of credit is 30 days, the indication is that credit is not 
    efficient. On the other hand, if the actual period of credit allowed is less than the 
    normal period of credit or ideal period of credit, the indication is that the credit 
    collection is efficient.

    Note:
    Here, the closing balance of debtor’s figure is always used because the 
    operating balance figure relates to the previous year’s sales. By multiplying by 
    12 or 52 we may arrive at the credit period in months or weeks. 

    Two main reasons for the firm to make certain that the debtors pay their accounts 

    on time:
    – The longer a debt is owed, the more likely it will become a bad debt.
    – Any payment can be used in the firm as soon as it is received, and so 

    this increases profitability; it can help reduce expenses. E.g. it would 

    reduce a bank overdraft. 

    d) Creditors to purchases ratio or Creditors’ payment period or 

    Creditor ratio:

    e) Cash turnover ratio
     Cash, for this purpose, means cash in hand, cash at bank and readily realizable 
    investment. Turnover refers to total annual sales (i.e., cash sales plus credit 

    sales.

    Use: this ratio indicates the extent to which cash resources are efficiently utilized 
    by the firm. It is also helpful in determining the liquidity of the concern.

    Interpretation
    : the standard or ideal cash turnover ratio of 10:1. As such, a 
    cash turnover ratio of 10:1 or more indicates the effective utilization of the cash 
    resources of the enterprise. On the other hand, a cash turnover ratio of less than 
    10:1 suggests that cash resources of the enterprise are not effectively utilized.

    f) Assets turnover ratio:
    (This ratio is also called Asset efficiency 
    ratios) and indicates the efficiency or inefficiency in the use of total 
    resources or assets of the concern. In other words, it is a measure of 

    the overall performance of the business.

     Interpretation: A total assets turnover ratio of 2 times or more indicates that 
    the assets of the concern have been utilized effectively. On the other hand, a 
    total assets turnover ratio of less than 2 times indicates that the assets of the 

    concern have been under-utilized. 

    g) Working capital turnover ratio or sales to working capital ratio
     Working capital is the excess of current assets over current liabilities. 

    Turnover means net sales. i.e. total sales less sales returns.

    Use: this ratio indicates the efficient or inefficient utilization of the working 
    capital of an enterprise.

    Interpretation:
    there is no standard or ideal working capital turnover ratio. 
    Though there is no standard working capital ratio, one can say that a high 
    working capital turnover ratio indicates the efficiency and a lower working capital 
    turnover ratio indicates the inefficiency of the management in the utilization of 

    working capital.

    h) Sales to net worth ratio or owned Turnover ratio


     Use: This ratio is a good index of the utilization of the owner’s funds. It also 
    indicates over trading (i.e. too much of sales in relation to owners’ capital) or 
    under- trading (i.e. low sales in relation to owners’ capital). In short, it is a guide 
    in the proper administration of capital.
     
    Interpretation:
    if the volume of sales in relation to net worth is reasonable, the 
    indication is that the owners ‘funds have been effectively utilized.

     i) Noncurrent assets turnover ratio
    (Sales/Fixed Assets ratio): This 
    ratio indicates as to what extent the fixed assets of a concern have 
    contributed to sales. In other words, it indicates as to what extent the 

    fixed assets have been utilized.


    Interpretation: The standard or ideal fixed assets turnover ratio is 5 times. 
    So, a fixed assets ratio of 5 times or more indicates better utilization of fixed 
    assets turnover ratio of less than 5 times is an indicator of underutilization 
    of fixed assets.


    j) Current assets turnover ratio


    Use: This ratio indicates the contribution of current assets to sales.
     Interpretation: There is no standard or ideal current assets turnover ratio. Yet 
    the inference is that high current assets turnover ratio is an indication of the 
    better utilization of current assets. On the other hand, the low current assets 
    turnover ratio suggests that the current assets have not been utilized effectively.

    k)  Account Receivables/debtors turnover ratio/ debtors velocity
     Debtor turnover ratio is the ratio which indicates the relationship between 
    debtors and sales. It is also the ratio which indicates the number of times the 

    debts are collected in a year.


     Debtors or accounts receivables, for this purpose, is sundry debtors plus 
    bills receivable. Further, debtors, here mean gross debtors (i.e. debtors before 
    deducting bad debts and reserve for doubtful debts). Sales here, mean net 
    credit sales (credit sales-sales returns)
     
    Use:
    this ratio indicates the extent to which debts have been collected in time. 
    It also indicates the liquidity of the concern
     
    l) Account payable/creditors turnover ratio

     This ratio indicates the rate at which the debt is paid to creditors.


     Illustration 3
     The following information was extracted from IDI’s books for the year ended X:
         Sales accounts: FRW 700 000        Purchases account: FRW 550 000
        Opening stock: FRW 100 000          Closing stock:  FRW 80 000
        Debtors account: FRW300 000        Creditors account: FRW 250 000

      Total Assets: FRW 900 000                 Total of noncurrent assets: 60% of Assets

     




    10.2.3 Gearing / leverage/ capital structure ratios / long
    term solvency ratios
    These ratios measure the extent to which the firm is financed by liabilities. They 
    are used to measure long term structure of the company position and its financial 
    risk. Financial risk is the probability that the firm may not be able to pay its debts 

    as and when they fall due.

     Solvency ratio measure the ability of a company to pay its long term debt and 
    the interest on that debt. 
    Solvency versus Liquidity
     Liquidity is a measure of the firm’s ability to pay short-term debt whereas 
    Solvency measure of the firm’s ability to pay all debt, particularly long-term debt 

    and is a measure of the firm’s long-term survival.


    It expresses the relationship between the proportions of fixed interest capital 
    to share capital. A high proportion means a highly geared business (company). 

    This will mean that shareholders can get more income if the additional loan 

    capital brings more profit than the interest. This on the other hand means that 
    the dividends of ordinary shareholders will be fluctuating a lot. It also means that 
    the company highly depends on non-owners to supply capital.

     b)  Debt ratio (or Debt to Assets ratio)


     Measures the proportion of the total assets financed by liabilities. In other words, 
    this ratio indicates to what extent the liabilities of a firm can be covered by its 
    economic resources. The higher the ratio, the higher the financial risk
     c) Solvency ratio

     Solvency ratio is a ratio between total assets and total liabilities of a concern.


    Uses: The solvency ratio is a measure of the solvency of a concern means the 

    ability of a concern to meet its total liabilities out of its total assets.

     Interpretation: Though no standard ratio, solvency ratio has been established, 
    one can say that the higher the ratio, the stronger the financial position of the 

    concern and the lower the ratio the weaker is its financial position.

     d) Debt to equity ratio or Leverage ratio


    Interpretation: the standard ratio: 2:1. If the debt is less than two times the 
    equity, the logical conclusion is that the financial structure of the concern is 
    sound and so the risk of the long term is relatively less and vice-versa.

     e) Capital structure ratio


    A higher CNCAR indicates that it is easier to meet the business debt and credit 
    commitment
     g) Proprietary/equity/Net worth ratio
     Net worth means the excess of total assets over total liabilities. It means 
    owners’ funds. Total assets include all realizable assets that are all tangible 
    assets and intangible assets if they can be realized. But goodwill cannot be 
    included since it cannot be realized before the liquidation of the concern. It is 

    calculated as follows:  


     Uses of Net Worth ratio: it indicates the proportion between owned capital 
    and loaned capital. It is also an index of the amount proprietor invested on total 
    assets.       
    Interpretation: The higher the proprietary ratio, the stronger is the financial 
    position of the concern and vice versa. Generally, a ratio of 5:1 is considered 
    ideal.
     
    h) Fixed assets to Net Worth ratio

     Fixed assets refer to assets which are used in the enterprise permanently. 
    However, they do not include investments on security. Again, fixed assets mean 
    Net fixed assets i.e. fixed assets at cost less depreciation.

    Net worth means owner’s fund


     Use: It indicates to what extent the owners have invested funds in the fixed 
    assets, which constitute the main structure of the business.

     Interpretation:
    the ideal fixed assets to Net Worth ratio for an industrial 
    undertaking is 67%. That is to mean the fixed assets should not constitute 
    more than 67% or 2/3 of the owner’s funds. If the fixed assets are more that, 
    the owner’s funds are mostly sunk in the fixed assets and current assets are 

    financed out of loaned funds.

     i) Current assets to Net worth ratio


     This ratio indicates the proportion of current assets financed by the owners.
     Interpretation: The higher ratio indicates the proportion of current assets 
    financed by the owners.
     j) Fixed assets Ratio
     It is the ratio between fixed assets and capital employed. Capital employed 

    means owner’s funds plus long term loans plus deposits and debentures.


    Use: this ratio indicates how the fixed assets of concern have been financed. 
    Interpretation: the fixed assets ratio should not be more than 1. The standard 
    ratio is 0.67.   

    k) Fixed charges cover ratio

    It is the ratio between net profit and fixed charges and income tax. Fixed profit for 
    this purpose means net profit before deducting fixed charges and income tax. 

    Fixed charges mean interests on long term loans and deposits and debentures. 


    This ratio indicates as to how many times the net profit of the concern covers its 
    fixed charges. It indicates whether the business would earn sufficient profits to 

    pay the interest charges periodically.

     l) Dividend coverage ratio
     This is the ratio between disposable profit and dividend. Disposable profit 
    means net profit after deducting interest on long-term borrowings and income 

    tax. In short, it means final net profit available for dividend.


     Use: this ratio indicates the ability of the concern to maintain the dividend on 
    shares in the future.

    Interpretation:
    if the dividend declared is adequately covered by the disposable 
    profit, the indication is that there is sufficient amount of retained profit and so, 
    slight variations in profits in the future will not disturb the amount of dividend in 
    the future and vice –versa. i.e. The higher the number of times the better for the 

    enterprise.

    Illustration 1

     The list of accounts balance of MMM is given in the following table



    1. Calculate the Gearing/ leverage / capital structure ratios                
    (Sales 5,000,000 FRW; Purchases: 1,000,000 FRW, Closing stock 

    600,000 FRW)  


     Illustration 2

     The following is the Balance sheets (In FRW) of Maria


     Required: Calculate the Gearing/ leverage / capital structure ratio


    10.2.4 Profitability ratios
     These are ratios which measure the profitability of a concern. In other words, 
    there are ratios which reveal the effect of the business transactions on the 
    profit position of an enterprise and indicate how far the enterprise has been 

    successful in its aim.

     i) Gross profit margin
    This is the ratio of profits to sales. It assesses the business level and adequate 

    of profits earned and their stability. The gross profit margin is expressed as:


    Gross profit is the profit that a concern earns on its trading. In other words, it 
    is the excess of the net sales over the cost of goods sold.

    Sales r
    efer to total sales, i.e. cash sales plus credit sales, but they represent net 
    sales, i.e. total sales minus sales returns.

    Use:
    this ratio discloses the gross result of trading or the overall margin within 
    which a business undertaking must limit its operating expenses to earn sufficient 
    profit. 
    Interpretation: the actual gross profit ratio is compared with gross profit ratio 
    of the previous years and those of other concerns carrying on similar business, 
    when it is high, it is indication of good results and vice-versa.


     ii) Net profit ratio


     Net profit means final balance of operating and non-operating incomes after 
    meeting all expenses. Sales means total sales, but net sales i.e. total sales 
    minus sales returns

    Use: this ratio indicates the quantum of profit earned by a concern.

    Interpretation: A high net profit ratio indicates that the profitability of the 
    concern is good. On the other hand, a low net ratio indicates that profitability is 
    poor.

     iii) Operating ratio or operating cost ratio


    Operating cost refers to all expenses incurred for operating or running a 
    business. It comprises cost of goods sold plus operating expenses and selling 
    and distribution expenses. Sales refer to net sales. i.e. total sales minus sales 
    returns. 

    Use:
    the operating ratio indicates the efficiency of the management in the 
    conduct of the business.

    Interpretation:
    a low operating ratio is an indication of an operating efficiency 
    of the business.

    iv) Expenses ratio 

    Expenses ratios are ratios which supplement the information given by the 
    operating cost ratio. They are the ratios between expenses and sales. Some of 

    the important expenses ratios are


    Interpretation: 
    a) A low factory ratio is an indication of the economy and the efficiency 
    in the manufacturing operations of the firm. On the other hand, a 
    high factory expenses ratio is an indication of the inefficiency in the 
    manufacturing process of the enterprise. 
    b) A low administrative expense ratio is an indication of the economy and 
    the efficiency in the general administration of the concern and viceversa.
     c) A low selling and distribution expenses and vice versa.

    v) Operating profit ratio 

    Operating profit ratio is the excess of net sales over the operating cost. 
    Alternatively, it is the net profit plus non-operating expenses minus operating 

    incomes.


    Interpretation: The standard o ideal operating profit ratio of 10% or more is an 
    indication of the operating efficiency of the business, and vice-versa.
    vi) Return on total Resources ratio
     Return, here, means net profit after taxes, i.e. final profit.
     
    Total resources or total assets
    mean all realizable assets, including intangible, 

    if they are realizable.


    Use: This ratio measures the productivity of the total resources or assets of a 
    concern. In other words, it indicates the profitability of the business.

    Interpretation:
    a return of 10% is normally considered as an ideal ratio. As such, 
    if the actual ratio is 10% or more, it is an indication of the higher productivity of 
    the resources on the other hand, a return of less than 10% is an indication of 
    lower productivity of the resources.
     
    vii) Returns on capital employed (ROCE) or Return on Investment 

    Ratio (ROI)
     ROCE or ROI is the ratio between return on capital employed and capital 

    employed


    Return on capital employed means operating profit or net profit before 
    deducting interests and taxes

    Capital employed refers to total long-term funds employed in the business. 

    This ratio indicates the overall profitability of the business. Since it reveals the 
    productivity of the capital employed in the business. Capital employed here 
    means investments made outside the business-fictious assets.

    Interpretation
    : the standard or ideal return on capital employed ratio is about 

    16%. So if the actual ratio is equal to or more than 16% it is an indication of 
    higher productivity of the capital employed.
     Use: this ratio is the measure of the productivity.

    viii) Return On Equity Ratio (ROE)


    Net worth here means all types of share capital + accumulated resources and 
    profits-all losses and fictious assets.

    Use: 
    This ratio is a measure of the productivity of shareholders’ funds. It also 
    gives the shareholders an idea of the return on their funds. It is also useful for 
    inter-firm and inter-industry comparisons.
     
    Interpretation:
    the standard or ideal net profit to net worth ratio is about 13%or 
    more. It is an indication of good return on shareholders’ funds it influences the 
    market price of the equity shares.


     ix) Return on Equity Capital ratio or Net profit to Equity Capital


    Net profit: Net profit after deducting taxes and preference dividends or net 
    profit available for equity shareholders.

    Equity
    capital is interpreted in two ways. Some authors take equity capital to 

    mean only equity share capital. Other take equity shareholders’ funds (i.e. equity 
    share capital plus all accumulated reserves and profits minus all losses and 

    fictious assets. 

    Use: this ratio is a measure of the productivity of equity capital. It is a satisfactory 
    measure of the profitability of the eEnterprise from the point of view of equity 

    shareholders.

     Interpretation: there is no standard or ideal net profit to equity capital ratio. 
    So, the actual net profit to equity capital ratio is compared with those other 

    similar concern and the productivity of equity capital is determined.

    x) Debt-service coverage ratio (DSCR)
     1. In corporate finance, it is the amount of cash flow available to meet annual 
    interest and principal payments on debt, including sinking fund payments. 
    2. In government finance, it is the amount of export earnings needed to meet 
    annual interest and principal payments on a country’s external debts. 
    3. In personal finance, it is a ratio used by bank loan officers in determining 
    income property loans. 

    This ratio should ideally be over 1. That would mean the property is generating 

    enough income to pay its debt obligations. In general, it is calculated by: 


    A DSCR of less than 1 would mean a negative cash flow. A DSCR of less 
    than 1, say .95, would mean that there is only enough net operating income to 
    cover 95% of annual debt payments. 

    For example,
    in the context of personal finance, this would mean that the 
    borrower would have to delve into his or her personal funds every month to keep 
    the project afloat. Generally, lenders frown on a negative cash flow, but some 
    allow it if the borrower has strong outside income.

    Debt-service
    refers to the cash that is required for a particular time period to 
    cover the repayment of interest and principal on a debt. 
    Sinking funds: a means of repaying funds that were borrowed through a bond 

    issue. 

    Illustration

     The following are the Final accounts for two similar types of business:



    Balance Sheets (in FRW)


    You are required to calculate:
     a) Gross margin rate 
    b) Gross mark-up ratio
     c) Salaries expenses to sale ratio
     d) Net margin ratio
     e) Net mark-up ratio
     f) Electricity expense to sales ratio
     g) Return on Equity ratio 
    h) Return on Assets
     i) Return on Fixed assets
     j) Return on Capital Employed ratio (ROCE)

    Solution



     10.2.5 Shareholders ratios/growth and valuation ratios/ 
    defensive and survival ratios

     i) Earnings per share (EPS)


     Use: the EPS ratio assesses the relationship of operating profit after tax, interest 
    on loan capital and preference dividend, to the number of shares issued as fully 
    paid up. It shows the amount of earnings applicable to a share of ordinary equity.
     
    Interpretation:
    the more the earning per share, the better is the performance 
    and the future prospects of the company. Higher earnings per share suggest 
    the possibility of more cash dividend or bonus shares and a rise in the market 
    price of share.

     ii) Dividend per share (DPS)


    The higher the ratio, the more profitable the enterprise.

     iii) Dividend yield


    Use: this is the ratio of dividend paid by the business enterprise per share to the 
    market price per each share of the business.

    Interpretation:
    the actual dividend yield ratio of the company in question 
    should be compared with the dividend yield ratios of other similar companies. 
    If the dividend yield ratio of the company in question is more than that of other 
    similar companies, it is an indication to the investor that it is worth investing on 
    the shares of the company in the question.

     

    iv) Price earnings ratio (P/E ratio)


    This ratio assesses the ongoing financial performance of company from year to 
    year. It shows the profit earning capacity of a business. It indicates the number 
    of times the earning per share is covered by its market price. It is very useful to 

    an investor for predicting the market price of shares at some future date.

    Interpretation: the higher the price earnings ratio, the better are the chances 
    of appreciation in the market price of share. 


    v) Dividend payout ratio/ payout ratio


     Use: it throws light on the chance of appreciation, in the price of the shares.
     
    Interpretation:
    a low payout ratio indicates that only a small portion of the 
    earning of the company has been used for dividend and the major portion of 
    the earnings is retained for ploughing back and vice versa. A low payment ratio 
    suggests that there are good chances of appreciation in the prices of shares. 

    vi) Preference Dividend cover



    Use: the EDC indicates the number of times the equity dividend paid is covered 

    by the profits available for equity shareholders. It indicates the degree of certainty 

    of declaration of equity dividend in future years also.

    Interpretation: the standard equity dividend cover is two times. As such, if the 

    equity dividend cover is more, the indication is that there is a greater degree of 
    certainty that equity dividend will be declared in the future years also; and vice versa.



    Limitations of ratio analysis
     Ratio analysis is not foolproof. There are many problems in trying to identify 
    trends and make comparisons. Below are just a few.

     •  Information problems

    – The base information is often out of date, so timeliness of information 

    leads to problems of interpretation.
    – Historical cost information cost information may not be the most 

    appropriate information for the decision for which the analysis is being 
    undertaken.
    – Information in published accounts is generally summarized information 

    and detailed information may be needed.
    – Analysis of accounting information only identifies symptoms, not causes, 

    and is therefore of limited use.

     •  Comparison problems: trend analysis

    – Effects of price changes make comparisons difficult unless adjustments 

    are made.
    – Impacts of changes in technology on the price of assets, the likely 

    return and the future markets.
    – Impacts of a changing environment on the results reflected in the 

    accounting information.
    – Potential effects of changes in accounting policies on the reported 

    results
    – Problems associated with establishing a normal base year with which 
    to compare other years.

    •  Comparison problems: across companies

    – Selection of industry norms and the usefulness of norms based on 

    averages
    – Different firms having different financial and business risk profiles and 

    the impact on analysis.
    – Different firms using different accounting policies
    – Impacts of the size of the business and its comparators on risk, structure 

    and returns.
    – Impacts of different environments on results, eg different countries or 

    home-based versus multinational firms.


     Application activity 10.2

     1) The ratio has increased in 2018 compared to 2017 because we 
    have increased the length of time allowed for customers to pay their 
    invoices. The statement above could explain a decrease in which of 
    the following ratios?
     i. The receivables collection period
     ii. The gearing ratio
     iii. Interest cover
     iv. The payables payment period

     2)  The following information for Christian Ltd is available



     Christian Ltd purchased new non-current assets during the year

     Required: calculate and comment on ROCE for Christian Ltd


    Skills Lab 

    Carry out a visit in any company, ask for their financial statements and 
    interpret them based on different categories of financial ratios.

    End unit assessment 

    Given below is a range of financial ratios for two companies that both 

    operates nearby your school:



    Required: Comment upon what the ratios indicate about each business
     
    One of the businesses is a supermarket and the other is jeweler who 
    supplies some goods on credit to long standing customers. Identify which 

    business. 

    2. The following are summarized financial statements of DAMIAN 

    Limited:


     DAMIAN Limited

     Statement of Profit or Loss for the year ended 31 October


    Balance sheet as at 31 October


    Note:

    1. 80% of the sales are no credit

     2. The stock as at 31 October 2001 was valued at FRW 13,000,000

     REQUIRED: 
    Calculate two ratios for each classification identified below for the financial 
    years ended 31 October 2021 and 2022: 
    i) Profitability 
    ii) Liquidity ratios
    iii) Gearing ratios

    iv) Activity ratios

    REFERENCE
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    introduction to concepts, methods, and uses (14th edition). USA: 
    Cengage Learning.
     Saleemi, N.A. (1991). Financial Accounting Simplified. KENYA.
     Sangster, F. W. (2005). Business Accounting. London: Prentice Hall.
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    Weygandt, J.J, Kimmel, P.D. & Kieso, D.E. (2009) Accounting Principles (9th 
    Edition). USA: John Wiley & Sons.
     Wood, F. & Sangster, A. (2005). Business Accounting 1 (10th edition). UK: 
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     IFRS Online navigator- 
    https:https://www.ifrs.org/issued-standards/list-of-standards/?language=en&;
     year=2022&issue-type=%2Fcontent%2Fcq%3Atags%2Fifrs%2Fproduction

     %2Fissue-type%2Fissued 

    UNIT 9 : FINANCIAL STATEMENTS ANALYSIS