Unit 4
VALUATION OF SHARES
Goodwill is an intangible but not fictitious assets which means it has some realisable value. From the accountants’ point of view goodwill, in the sense of attracting custom, has little significance unless it has a saleable value. To the accountant, therefore, goodwill may be said to be that element arising from the reputation, connection, or other advantages possessed by a business which enables it to earn greater profits than the return normally to be expected on the capital represented by the net tangible assets employed in the business. In considering the return normally to be expected, regard must be had to the nature of the business, the risks involved, fair management remuneration and any other relevant circumstances.
The goodwill possessed by a firm may be due, inter alia, to the following:
- The location of the business premises, the nature of the firm’s products or the reputation of its service.
- The possession of favourable contracts, complete or partial monopoly, etc.
- The personal reputation of the promoters.
- The possession of efficient and contented employees.
- The possession of trademarks, patents or a well-known business name.
- The continuance of advertising campaigns.
- The maintenance of the quality of the firm’s product and development of the business with changing conditions
The need for evaluating goodwill may arise in the following cases:
- When the business or when the company is to be sold to another company or when the company is to be amalgamated with another company;
- When, stock exchange quotations not being available, shares have to be valued for taxation purposes, gift tax, etc.;
- When a large block of shares, so as to enable the holder to exercise control over the company concerned, has to be bought or sold; and
- When the company has previously written off goodwill and wants its write back. In valuation of goodwill, consideration of the following factors will have a bearing:
(a) Nature of the industry, its history and the risks to which it is subject to.
(b) Prospects of the industry in the future.
(c) The company’s history — its past performance and its record of past profits and dividends.
(d) The basis of valuation of asset of the company and their value.
(e) The ratio of liabilities to capital.
(f) The nature of management and the chance for its continuation.
(g) Capital structure or gearing.
(h) Size, location and reputation of the company’s products.
(i) The incidence of taxation.
(j) The number of shareholders.
(k) Yield on shares of companies engaged in the same industry, which are listed in the Stock Exchanges.
(l) Composition of purchasers of the products of the company.
(m) Size of block of shares offered for sale since large blocks very few buyers would be available and that has a depressing effect on the valuation. Question of control, however, may become important, when large blocks of shares are involved.
(n) The major factor of valuation of goodwill is the profits of the company. One who pays for goodwill looks to the future profit. The profits that are expected to be earned in future are extremely important for valuation of goodwill. The following are the important factors that have a bearing on future profits:
(i) Personal skill in management
(ii) Nature of business
(iii) Favourable location
(iv) Access to supplies
(v) Patents and trademarks protection
(vi) Exceptionally favourable contracts.
(vii) Capital requirements and arrangement of capital.
(o) Estimation of the profits expected to be earned by the firm and the amount of capital employed to earn such profits, are to be computed carefully.
(p) Market reputation which the company and its management enjoys.
(q) Returns expected by investors in the industry to which the firm or company belongs.
When one company buys another company, the purchasing company may pay more for the acquired company than the fair market value of its net identifiable assets (tangible assets plus identifiable intangibles, net of any liabilities assumed by the purchaser). The amount by which the purchase price exceeds the fair value of the net identifiable assets is recorded as an asset of the acquiring company. Although sometimes reported on the balance sheet with a descriptive title such as “excess of acquisition cost over net assets acquired”, the amount is customarily called goodwill.
Goodwill arises only part of a purchase transaction. In most cases, this is a transaction in which one company acquires all the assets of another company for some consideration other than an exchange of common stock. The buying company is willing to pay more than the fair value of the identifiable assets because the acquired company has a strong management team, a favourable reputation in the marketplace, superior production methods, or other unidentifiable intangibles.
The acquisition cost of the identifiable assets acquired is their fair market value at the time of acquisition. Usually, these values are determined by appraisal, but in some cases, the net book value of these assets is accepted as being their fair value. If there is evidence that the fair market value differs from net book value, either higher or lower, the market value governs.
Q1) Company X acquires all the assets of company Y, giving Company Y Rs 15 lakh cash. Company Y has cash Rs 50,000 accounts receivable that are believed to have a realisable value of Rs 60,000, and other identifiable assets that are estimated to have a current market value of Rs 11 lakhs.
Solution:
Particulars | Rs | Rs |
Total purchase price Less: Cash acquired Accounts receivable Other identifiable assets (estimated) Goodwill |
50,000 60,000 11,00,000 | 15,00,000
12,10,000 |
| 2,90,000 |
This extra amount of Rs 2,90,000 paid over an above, Net worth Rs 12,10,000 is goodwill, which is a capital loss for purchasing company and to be shown on assets side of Balance Sheet. This entire amount will be written off against revenue profit, i.e., Profit and Loss Account over period of time.
There are basically two Methods of valuing goodwill: (a) Simple/Average profit method and (b) Super profit method.
(a) Simple/Average Profit Method: Goodwill is generally valued on the basis of a certain number of years’ purchase of the average business profits of the past few years. While calculating average profits for the purposes of valuation of goodwill, certain adjustments are made. Some of the adjustments are as follows:
Trading Profit/Business Profit/Recurring Profit/Normal Profit (of Past Year)
Particulars | 1st Year | 2nd Year | 3rd Year |
Net Profit before Adjustment and Tax | xx | xx | xx |
Less: Non Trading Income (i.e., Income from investment Asset) |
xx |
xx |
xx |
Less: Non-recurring Income (i.e., profit on sale of investment/Asset) |
xx |
xx |
xx |
Add: Non-recurring Loss (i.e., Loss on sale of investment/Asset) |
(xx) |
(xx) |
(xx) |
Trading Profit after Adjustment and before Tax | xx | xx | xx |
Calculation of Average profit:
(a) Simple Average Profit =
(b) Weighted Average profit:
Total profit of (past years)
Total number of past years
Years | Trading Profit (a) | Weight (b) | Product (a × b) |
2007 | xx | 1 | xx |
2008 | xx | 2 | xx |
2009 | xx | 3 | xx |
|
| 6 | xxx |
Total product
Total of weight Notes: If past profits are in increasing trend, then calculate Average Profit by weighted average method or otherwise simple average method.
Calculation of F.M.P. (Future Maintainable Profit):
(i) All actual expenses and losses not likely to occur in the future are added back to profits.
(ii) All actual expenses and losses not likely to occur in the future are added back to profits.
(iii) All profits likely to come in the future are added.
Particulars | Rs |
Simple/Weighted Average Profit before Tax | xx |
Add: Expenses incurred in past not to be incurred in future (i.e., Rent paid in past not payable in future) |
xx |
Less: Expenses not incurred in past to be incurred in future (i.e., Rent not paid in past payable in future) |
(xx) |
Less: Notional Management Remuneration Future Maintainable Profit before Tax | xxx xx |
Less: Tax (if Rate is not given me 50%) | (xx) |
Future Maintainable Profit after Tax | xxx |
After adjusting profit in the light of future possibilities, average profit are estimated and then the value of goodwill is estimated. If goodwill is to be valued at 3 years’ purchase of the average profits which come to Rs 50,000, the goodwill will be Rs 1,50,000, i.e., 3 × Rs 50,000.
This method is a simple one and has nothing to recommend since goodwill is attached to profits over and above what one can earn by starting a new business and not to total profits.
It ignores the amount of capital employed for earning the profit. However, it is usual to adopt this method for valuing the goodwill of the practice of a professional person such as a chartered accountant or a doctor.
Calculation of Capital Employed and Average Capital Employed
Tangible Trading Assets (At Agreed/Adjustment Value) (Except: Intangible, Non-trading/Fictitious Assets) |
|
|
Plant and Machinery | xx |
|
Land and Building | xx |
|
Furniture and Fixtures | xx |
|
Stock | xx |
|
Cash/Bank | xx | xx |
Less: External Liability (At Agreed/Adjust Value) |
|
|
(Except: Capital and Reserve and surplus) |
|
|
Loans | xx |
|
Debentures | xx |
|
Creditors | xx |
|
Outstanding Expenses, etc | xx | xx |
Capital Employed |
| XX |
Average Capital Employed = Opening Capital Employed + Closing Capital Employed
= Closing Capital Employed – ½ of Current Years’ Profit+ Current Years’ Dividend
(b) Super Profit Method: The future maintainable profits of the firm are compared with the normal profits for the firm. Normal earnings of a business can be judged only in the light of normal rate of earning and the capital employed in the business. Hence, this method of valuing goodwill would require the following information:
(i) A normal rate of return for representative firms in the industry.
(ii) The fair value of capital employed.
The normal rate of earning is that rate of return which investors in general expect on their investments in the particular type of industry. Normal rate of return depends upon the risk attached to the investment, bank rate, market, need, inflation and the period of investment.
Normal Rate of Returns (NRR)
It is the rate at which profit is earned by normal business under normal circumstances or from similar course of business. Normal Rate of Returns means rate of profit on capital employed which is normally earned by others in a similar type of business. It will always be given in the problem in form of percentage.
Or NRR = Rate of Risk + Rate of Returns or Dividend per Share x 100
Market price per Share
As the capital employed may be expressed as aggregate of share capital and reserves less the amount of non-trading assets such as investments. The capital employed may also be ascertained by adding up the present values of trading assets and deducting all liabilities. Super profit is the simple difference between future maintainable operating profit and normal profit.
Q2) Rishi Computers Ltd. gives you the following summarised balance sheet as at 31st December, 2009:
Liabilities | Rs | Assets | Rs | Rs |
Preference Share Capital | 5,00,000 | Fixed Assets: Cost | 50,00,000 |
|
Equity Share Capital | 20,00,000 | Depreciation | 30,00,000 | 20,00,000 |
Reserves and Surplus | 25,00,000 | Capital Work-in Progress |
| 40,00,000 |
Long-term Loans | 27,00,000 | Investment 10% | 5,00,000 | |
Current Liabilities and Provisions | 15,00,000 | Current Assets | 25,00,000 | |
|
| Underwriting Commission | 2,00,000 | |
| 92,00,000 |
|
| 92,00,000 |
The company earned a profit of Rs 18,00,000 before tax in 2009. The capital work-in-progress represents additional plant equal to the capacity of the present plant; if immediately operational, there being no difficulty in sales. With effect from 1st January, 2010, two additional Works Managers are being appointed at Rs 1,00,000 p.a. Ascertain the future maintainable profit and the capital employed, assuming the present replacement cost of fixed assets is Rs 1,00,00,000 and the annual rate of depreciation is 10% on original cost.
Solution:
Normal profit: Suppose investors are satisfied with a 180% return, in the above example, the normal profit will be Rs 11,34,000, i.e., 18% of Rs 63 lakhs.
The followings are some items which generally require adjustment in arriving at the average of the past earnings:
- Exclusion of material non-recurring items such as loss of exceptional nature through strikes, fires, floods and theft, etc., profit or loss of any isolated transaction not being part of the business of the company.
- Exclusion of income and profits and losses from non-trading assets.
- Exclusion of any capital profit or loss or receipt or expense included in the profit & loss account.
- Adjustments for any matters suggested by notes, appended to the accounts or by qualifications in the Auditor’s Report, such as provision for taxation and gratuities, bad debts, under provision or over provision for depreciation, inconsistency in valuation of stock, etc.
- Depreciation is an important item that calls for careful review. The value may adopt book depreciation provided he is satisfied that the tale was realistic and the method was suitable for the nature of the company and they were consistently applied from year to year. But imbalances do arise in cases where consistently written down value method was in use and heavy expenditure in the recent past has been made in rehabilitating or expanding fixed assets, since the depreciation charges would be unfairly heavy and would prejudice the seller. Under such circumstances, it would be desirable to readjust depreciation suitably as to bring a more equitable charge in the profits meant for averaging.
Another important factor comes up for consideration in averaging past profits and that is the trend of profits earned. It is imperative that estimation of maintainable profits be based on the only available record i.e., the record of past earnings, but indiscrete use of past results may lead to an entirely fallacious and unrealistic result.
Where the profits of a company are widely fluctuating from year to year, an average fails to aid future projection. In such cases, a study of the whole history of the company and of earnings of a fairly long period may be necessary. If the profits of a company do not show a regular trend upward or downward, an average of the cycle can usefully be employed for projection of future earnings.
In some companies, profits may record a distinct rising or falling trend from year; in these circumstances, a simple average fails to consider a significant factor, namely, trend in earnings.
The shares of a company which record a clear upward trend of past profits would certainly be more valuable than those of a company whose trend of past earnings indicates a downtrend. In such cases, a weighted average giving more weight to the recent years than to the past, is appropriate. A simple way of weighing is to multiply the profits by the respective number of the years arranged chronologically so that the largest weight is associated with the most recent past year and the least for the remotest.
Future Profitability Projections: Project is more a matter of intelligent guesswork since it is essentially an estimation of what will happen in the risky and uncertain future. The average profit earned by a company in the past could be normally taken as the average profit that would be maintainable by it in the future, if the future is considered basically as a continuation of the past. If future performance is viewed as departing significantly from the past, then appropriate adjustments will be called for before accepting the past average profit as the future maintainable profit of the company.
There are three methods of calculating goodwill based on super profit. The methods and formulae are as follows:
Purchase of Super Profit Method
Goodwill as per this method is: Super profit multiplied by a certain number of years. Under this method, an important point to note is that the number of years of purchase as goodwill will differ from industry to industry and from firm to firm. Theoretically, the number of years is to be determined with reference to the probability of a new business catching up with an old business. Suppose it is estimated that in two years’ time, a business, if started now will be earning about the same profits as an old business is earning now, goodwill will be equivalent to two times the super profits. In the example given above, goodwill will be Rs 12.12 1akhs, i.e., Rs 6.06 1akhs × 2 years.
Annuity Method of Super Profit
Goodwill, in this case, is the discounted value of the total amount calculated as per purchase method. The idea behind super profits methods is that the amount paid for goodwill will be recouped during the coming few years. But in this case, there is a heavy loss of interest. Hence, properly speaking what should be paid now is only the present value of super profits paid annually at the proper rate of interest. Tables show that the present value 18% of Re. 1 received annually two years is 1.566. In the above example, the value of goodwill under this method will be 1.3 × Rs 6.06 1akhs or Rs 9.49 lakhs.
Capitalization of Super Profit Method
This method tries to find out the amount of capital needed for earning the super profit.
The formula is Super Profit x 100
NRR
In above example, Goodwill will be = 6.06 lakhs x 100
18
= Rs. 33.67 lakhs
Given in the Problems
- Information of old firms assets and liabilities.
- Information regarding past or profit.
- Adjustment valuation of goodwill.
Required to Prepare
Valuation of goodwill by different methods.
Steps, Method and Formula for Calculation of Goodwill
- Goodwill by purchase of average profit method: Steps:
(a) Find out average trading profit.
(b) Find out the number of year purchase (it will always be given in problem).
(c) Goodwill: Number of year purchase × Average trading profit.
2. Goodwill by purchase of future maintainable profit method: Steps:
(d) Find out future maintainable profit.
(e) Number of year purchase (given in problem).
(f) Goodwill: No of years purchase × Future maintainable profit.
3. Goodwill by capitalisation of future maintainable profit method: Steps:
- Find out future maintainable profit.
- Find out capitalised value of future maintainable profit.
Capitalisation Value of Future Maintainable Profit = FMP x 100
NRR
c. Calculate capital employed.
d. Goodwill = Capitalised Value of E.M.P. – Capital Employed
4. Goodwill by purchase of super profit method: Steps:
(g) Find out average trading profit.
(h) Find out future maintainable profit.
(i) Find out capital employed.
(j) Find out Normal Rate of Return (always given in the problem in terms of %).
(k) Find out number of year purchase (given in the problem).
(l) Find out normal profit:= (Capital Employed x NRR) / 100
(m) Find out super profit:
Super Profit = Future Maintainable Profit – Normal Profit
(n) Goodwill = Number of year purchase × Super Profit.
5. Goodwill by capitalisation super profit method: Steps:
Calculate super profit as discussed above.
Goodwill = Annuity Rate × Super Profit
Notes: Annuity Rate will always be given in the problem.
In the cases of shares quoted in the recognised Stock Exchanges, the prices quoted in the Stock Exchanges are generally taken as the basis of valuation of those shares. However, the Stock Exchange prices are determined generally on the demand-supply position of the shares and on business cycle. The London Stock Exchange opines that the Stock Exchange may be linked to a scientific recording instrument which registers not its own actions and options but the actions and options of private institutional investors all over the country/world. These actions and options are the result of fear, guesswork, intelligent or otherwise, good or bad investment policy and many other considerations. The quotations what result definitely do not represent valuation of a company by reference to its assets and its earning potential. Therefore, the accountants are called upon to value the shares by following the other methods.
The value of share of a company depends on so many factors such as:
- Nature of business.
- Economic policies of the Government.
- Demand and supply of shares.
- Rate of dividend paid.
- Yield of other related shares in the Stock Exchange, etc.
- Net worth of the company.
- Earning capacity.
- Quoted price of the shares in the stock market.
- Profits made over a number of years.
- Dividend paid on the shares over a number of years.
- Prospects of growth, enhanced earning per share, etc.
The need for valuation of shares may be felt by any company in the following circumstances:
- For assessment of Wealth Tax, Estate Duty, Gift Tax, etc.
- Amalgamations, absorptions, etc.
- For converting one class of shares to another class.
- Advancing loans on the security of shares.
- Compensating the shareholders on acquisition of shares by the Government under a scheme of nationalization.
- Acquisition of interest of dissenting shareholder under the reconstruction scheme, etc.
The valuation of shares of a company is based, inter alia, on the following factors:
- Current stock market price of the shares.
- Profits earned and dividend paid over the years:
- Availability of reserves and future prospects of the company.
- Realisable value of the net assets of the company.
- Current and deferred liabilities for the company.
- Age and status of plant and machinery of the company.
- Net worth of the company.
- Record of efficiency, integrity and honesty of Board of Directors and other managerial personnel of the company.
- Quality of top and middle management of the company and their professional competence.
- Record of performance of the company in financial terms.
Certain methods have come to be recognised for valuation of shares of a company, viz., (1) Open market price, (2) Stock exchange quotation, (3) Net assets basis, (4) Earnings per share method, (5)Yield or return method, (6) Net worth method, (7) Break-up value, etc.
Intrinsic Value Method
This method is also called as Assets Backing Method, Real Value Method, Balance Sheet Method or Break-up Value Method. Under this method, the net assets of the company including goodwill and non-trading assets are divided by the number of shares issued to arrive at the value of each share.
If the market value of the assets is available, the same is to be considered and in the absence of such information, the book values of the assets shall be taken as the market value. While arriving at the net assets, the fictitious assets such as preliminary expenses, the debit balance in the Profit and Loss A/c should not be considered. The liabilities payable to the third parties and to the preference shareholders is to be deducted from the total asset to arrive at the net assets. The funds relating to equity shareholders such as General Reserve, Profit and Loss Account, Balance of Debenture Redemption Fund, Dividend Equalization Reserve, Contingency Reserve, etc should not be deducted.
Q3) From the information given below and the balance sheet of Cipla Limited on 31st December, 2009, find the value of shares by Intrinsic value method.
Balance Sheet
Particulars | Rs | Particulars | Rs |
1000, 8% Preference Shares of Rs 100 |
| Buildings | 70,000 |
each fully paid | 1,00,000 | Furniture | 3,000 |
4,000 Equity Shares of Rs 100 fully paid | 4,00,000 | Stock (Market value) | 4,50,000 |
Reserves | 1,50,000 | Investment at cost (face value 4,00,000) | 3,35,000 |
Profit and Loss account | 5,10,000 | Debtors | 2,80,000 |
Creditors | 48,000 | Bank | 60,000 |
|
| Preliminary Expenditure | 10,000 |
| 12,08,000 |
| 12,08,000 |
Building is now worth of Rs 3,50,000 and the Preferential shareholders are having preference as to capital and dividend.
Solution:
Valuation of Equity Share | Intrinsic Value Method |
Building | 3,50,000 |
Furniture | 3,000 |
Stock | 4,50,000 |
Investment | 3,35,000 |
Debtors | 2,80,000 |
Bank | 60,000 |
Total Assets | 14,78,000 |
Less: Creditors | (48,000) |
Net Assets | 14,30,000 |
Less: Preference Share Capital | (1,00,000) |
Assets Available for Equity Shareholders | 13,30,000 |
Value of Equity Shares = Net assets available for Equity share holders
No of Equity Shares
=13,30,000
4,000
= Rs 332.5
Intrinsic value of each equity share= Rs 332.50
Yield Method
The valuation of shares under the Yield Method may be done under two categories:
- Return on capital employed method: This method is applied for the purpose of valuation of the shares of majority shareholding. A big investor is more interested in what the company earns and not simply in what the company distributes. Even if the company does not distribute 100% of its earning among its shareholders, it, as a matter of fact, strengthens the financial position of the company. The value of the share under this method is calculated by the formula:
Return on C.E= Return of C.E x paid up value of shares
Normal Rate of Return
Valuation on the basis of dividend: This method is more suitable for valuation of small
block of shares. The method of calculation is:
Expected Rate of Dividend x paid up value per share
Normal rate of Dividend
Normal Rate of Dividend Method
Q4) The following particulars are available in respect of Good luck Limited:
(a) Capital 450, 60% preference shares of Rs 100 each fully paid and 4,500 equity shares of Rs 10 each fully paid.
(b) External liabilities: Rs 7,500.
(c) Reserves and Surplus Rs 35,000.
(d) The average expected profit (after taxation) earned by the company Rs 8,500.
(e) The normal profit earned on the market value of equity shares (full paid) of the same type of companies is 9%.
(f) 10% of the profit after tax is transferred to reserves.
Calculate the intrinsic value per equity share and value per equity share according to dividend yield basis.
Assume that out of total assets, assets worth of Rs 350 are fictitious.
Solution:
Intrinsic Value of Shares |
| Rs
|
6% Preference Share Capital (450 × 10) |
| 45,000 |
Equity Shares (4,500 × 10) |
| 45,000 |
Reserves and Surplus |
| 3,500 |
External Liabilities |
| 7,500 |
Total Liabilities |
| 1,01,000 |
As Total Liabilities = Total Assets |
|
|
Total Assets |
| 1,01,000 |
Less: Fictitious Assets | (350) |
|
External Liabilities | (7,500) |
|
Preference Shares | (45,000) | 52,850 |
Net Assets Available for Equity Shareholders |
| 48.150 |
Intrinsic Value of Shares = Net Assets available for Equity Shareholders
Number of Equity Shares
= 48,150/4,500
= 10.70
Yield Basic | 10.70 |
Average profit after taxation | 8,500 |
Transfer to General Reserves (10%) | (850) |
| 7,650 |
Less: Preference dividend (6% of 45,000) | (2,700) |
Profit available to equity shareholders | 4,950 |
Rate of Dividend = 4,950 x 10
45,000
= 11%
Value of Equity Shares = Rate of Dividend x paid up value of shares
Normal Rate of Return
=11/9 x 10 = 12.22
Q5) The capital structure of company as on 31st March, 2009 was as under:
Equity Share Capital | 5,00,000 |
11% Preference Share Capital | 3,00,000 |
12% Secured Debentures | 4,00,000 |
Reserves | 3,00,000 |
The company on an average earns a profit of Rs 4,00,000 annually before deduction of interest on Debentures and Income Tax, which works out to 45%. The normal return on equity shares on companies similarly placed is 15% provided:
(a) The profit after tax covered the fixed interest and fixed dividends at least four times.
(b) Equity capital and reserves are 150% of debentures and preference capital.
(c) Yield on shares is calculated at 60% of profits distributed and 5% on undistributed profits.
The company is regularly paying an equity dividend of 18%. Ascertain the value of equity share of the company.
Solution:
Particulars | Rs |
Average profit of the companies before interest and tax | 4,00,000 |
Less: Debenture interest (12% of 4,00,000) | 48,000 |
Profit after interest but before tax | 3,52,000 |
Less: Tax @ 45% | 1,58,400 |
Profit after Interest and Tax | 1,93,600 |
Evaluation of Conditions given in the question:
(a) Profit after tax whether covers fixed interest and fixed dividend at least four times. Profit after tax = 4,00,000 – 1,58,400 = 2,41,600
Fixed interest and fixed dividend interest:
Interest 48,000
Fixed dividend (11% of 3,30,000) 33,000
81,000
Fixed interest and fixed dividend interest= 2,41,600/81,000 = 2.9827 times
Fixed interest and dividend coverage is 2.98 times only and is less than the prescribed 4 times.
(b) Whether equity capital and reserves are of 150% of preference share capital and debentures.
Particulars | Rs | Particulars | Rs |
Equity shares Reserve | 5,00,000 3,00,000 | Preference shares Debentures | 3,00,000 4,00,000 |
8,00,000 | 7,00,000 |
Ratio =
8,00,000 x 100 = 114.28%
7,00,000
Ratio is less than the Prescribed Ratio of 150%.
(c) Yield on Profit:
Particulars | Rs | Rs |
Average Profit after Interest and Tax |
| 1,93,000 |
Less: Preference Dividend (11% of 3,30,000) | 33,000 |
|
18% Equity Dividend (Regularly Paying) = 5,00,000x18/100 |
90,000 |
1,23,000 |
:. Undistributed profits |
| 70,600 |
:. Yield = 60% of Distributed Profit = 60% of 90,000 | 54,000 | |
5% of on undistributed profit | 3,530 | |
| 57,530 |
Expected Yield of Equity Shares Normal Return if conditions (a) and (b) cited above fulfilled |
15% |
Add: For low coverage of fixed interest and dividend (assumed) | 0.5% |
For low ratio of Equity share capital and Reserves (assumed) | 0.5% |
| 16% |
Yield Rate = 57,530/5,00,000 =11.506%
Value of Equity Shares = Possible Yield Rate x paid up value of shares
Expected Yield Rate
= 11.506/16 x 100
= Rs 71.91
Q6) From the following information of Dell Ltd., calculate the value of share by yield basis.
Balance Sheet as on 3/12/09
Particulars | Rs | Particulars | Rs |
800 Equity shares of 100 each | 80,000 | Land and Building | 50,000 |
4,000 Preference shares of Rs 10 each | 40,000 | Plant and Machinery | 60,000 |
6% Debentures | 20,000 | Patents | 20,000 |
Sundry Creditors | 40,000 | Sundry Debtors | 30,000 |
|
| WIP and Stock | 50,000 |
|
| Cash and Bank | 10,000 |
| 2,20,000 |
| 2,20,000 |
Land and Building to be valued at Rs 90,000. The company’s earnings were as follows:
Year | Profit before Tax | Tax |
2005 | 30,000 | 8,000 |
2006 | 40,000 | 16,000 |
2007 | 10,000 | (Strike) 4,000 |
2008 | 50,000 | 23,000 |
2009 | 55,000 | 30,000 |
The company paid managerial remuneration of Rs 6,000 per annum but it will become Rs 10,000 in future. There has been no change in capital employed. The company paid dividend of Rs 9 per share and it will maintain the same in future. The company proposed to build up a plant rehabilitation reserve at 15% of profit after tax. Dividend rate in this type of company is fluctuating and the asset backing of the equity share is about 1½ times. The equity share with an average dividend of 8% sold at par.
Solution:
Average Maintainable Profits:
Year | Weights | Profit | Product |
2005 | 1 | 30,000 | 30,000 |
2006 | 2 | 40,000 | 80,000 |
2007 | (abnormal due to strike) | ||
2008 | 3 | 50,000 | 1,50,000 |
2009 | 4 | 55,000 | 2,20,000 |
| 10 |
| 4,80,000 |
Weighted Average Profit= 4,80,000/10= 48,000
Particulars | Rs |
Weighted Average Profit | 48,000 |
Less: Increase in the Managerial Remuneration (10,000 – 6,000) | 4,000 |
| 44,000 |
Less: Tax (assuming 50%) | 22,000 |
Profits available for distribution | 22,000 |
Less: Plant Rehabilitation Reserve | 3,300 |
| 18,700 |
Less: Preference Dividend (9% of Rs 40,000) | 3,600 |
| 15,100 |
Average Backing per Equity Share:
Tangible Trading Asset | Rs | Rs |
Land and Building |
| 90,000 |
Plant and Machinery |
| 60,000 |
Patents |
| 20,000 |
Sundry Debtors |
| 30,000 |
WIP and Stock |
| 50,000 |
Cash and Bank |
| 10,000 |
|
| 2,60,000 |
Less: Sundry Creditors | 40,000 |
|
Preference Share Capital | 40,000 |
|
6% Debentures | 20,000 | 1,00,000 |
Net assets available for equity shareholders |
| 1,60,000 |
Asset Backing = 1,60,000/80,000= 2 times
Dividend Rate: Normal Dividend Rate |
8.0% |
Less: For higher dividend rate of 9% | (0.5%) |
For higher asset backing (2 times compared to 1.5) | (0.5%) |
| 7.0% |
Capitalisation Factor= 100/7= 14.226
Value of equity share = Profit available for Equity share holders x Cap Factor
Number of Equity Shares
= 15,100/800 x 14.286
= 269.64
Fair Value of a Share
The fair value of a share is the average of the value obtained by the net asset method and the yield method.
Fair Value = Intrinsic Value + Yield Value
2
Q7) The following is the Balance Sheet of M/s. Mahendra Ltd., as at 31-3-2013.
Liabilities | Rs | Assets | Rs |
Share Capital: Authorised |
| Fixed Assets:
Land and Building Plant and Machinery Furniture Current Assets: Stock in Trade Debtors Cash and Bank Balance Miscellaneous Expenditure: Deferred Advertising Expenses |
|
50,000 8% Cumulative Preference Shares of Rs 10 each | 5,00,000 | 2,20,000 | |
40,000 Equity Shares of Rs 10 each | 4,00,000 | 4,40,000 | |
|
| 80,000 | |
Issued and Fully Paid up: |
|
| |
40,000 8% Cumulative Preference |
| 3,10,000 | |
Shares of Rs 10 each | 4,00,000 | 3,50,000 | |
30,000 Equity shares of Rs 10 each | 3,00,000 | 1,70,000 | |
General Reserve | 1,10,000 |
| |
Profit and Loss A/c | 1,00,000 |
| |
Current Liabilities and Provision: |
|
| |
Current Liabilities | 1,00,000 | 70,000 | |
Provision for Depreciation | 4,55,000 |
| |
Provision for Taxation | 90,000 |
| |
Proposed Dividend | 85,000 |
| |
| 16,40,000 | 16,40,000 |
The Turnover, Net Profit and Dividend paid on Equity shares of the last 3 years ended 31st March, 2012 are as given below:
Year | Turnover Rs | Net Profit Rs | % of Dividend on Equity Shares |
2009-2010 | 31,20,000 | 3,05,000 | 15% |
2010-2011 | 40,44,000 | 4,50,000 | 15% |
2011-2012 | 50,00,000 | 5,60,000 | 18% |
Calculate the fair value of Equity Shares of the company, assuming that the fair return in investment in the company doing similar business is 12%.
Solution:
M/s. Mahindra Ltd.
Particulars | Rs | Rs |
Land and Building |
| 2,20,000 |
Plant and Machinery |
| 4,40,000 |
Furniture |
| 80,000 |
Stock |
| 3,10,000 |
Debtors |
| 3,50,000 |
Cash and Bank |
| 1,70,000 |
Less: Current Liabilities | 1,00,000 |
|
Provision for Depreciation | 1,55,000 |
|
Provision for Tax Proposed Dividend | 90,000 85,000 |
7,30,000 |
|
| 8,40,000 |
Less: Preference Sheet Capital | 4,00,000 | |
Assets available for equity shareholders | 4,40,000 |
Intrinsic Value =
=
Profit Available to Equity Shareholders
Number of Equity Shares
4,40,000
30,000
= Rs 14.67.
Yield Value:
Average Net Profit =
3,05,000 + 4,50,000 + 5,60,000
3
= 13,15,000
3
= Rs 4,38,333.
Average Profit of Earning = 4,06,383/3,00,000 x 100 = 135.44%
Value of Equity Share = Average Rate of Return x paid up value of shares
Normal Rate of Return
= 135.44/12 x 100
= Rs 112.87(Earning Basis)
Value of Equity Share = Average Rate of Dividend x paid up value of shares
Normal Rate of Return
= (15+15+18)/3 x 10
12
= Rs 13.33
Q8) On 31st March, 2012, the Balance Sheet of Gomati Ltd. was as follows.
Liabilities | Rs | Assets | Rs | |
Share Capital Authorised 20,000 equity shares of Rs 100 each Issued and paid up 15,000 equity shares of Rs 100 each Less: Calls in arrears at Rs 20 each Profit and Loss Account Bank Overdraft Creditors Provision for Taxation Proposed Dividend Total |
15,00,000
(2,000) |
20,00,000
14,98,000 1,54,500 32,000 1,15,500 67,500 1,12,500 | Land and Buildings Plant and Machinery Stock Sundry Debtors Cash Bank | 3,00,000 1,72,500 4,50,000 9,07,500 20,000 1,30,000 |
| ||||
19,80,000 | 19,80,000 |
The Net profits of the company after providing for tax were as follows:
Year Ended | Rs |
31st March, 2012 | 1,72,500 |
31st March, 2011 | 1,50,000 |
31st March, 2010 | 1,87,500 |
31st March, 2009 | 1,80,000 |
31st March, 2008 | 1,35,000 |
On 31st March, 2012, Land and Building were valued at Rs 3,75,000 and Plant and Machinery were valued at Rs 2,25,000. Normal rate of return can be considered at 8%. Goodwill is to be valued at 3 years purchase of super profits based on average profit of last 5 years.
Find the intrinsic value of fully paid and partly paid equity shares Consider closing capital employed as average capital employed.
Solution:
Gomati Ltd.
Valuation of Goodwill
Step 1: Calculation of Average Profit
= 1,72,500 +1,50,000 + 1,87,500 + 1,80,000 + 1,35,000
5
= 1,65,000
Step 2: Calculation of Capital Employed
Revised value of all assets |
| ||||||
Land & Building | 3,75,0000 | ||||||
Machinery | 2,25,000 | ||||||
Stock | 4,50,000 | ||||||
Debtors | 9,07,500 | ||||||
Cash |
| 20,000 |
| ||||
Bank |
| 1,30,000 | |||||
|
|
|
| 21,07,500 | |||
Outside Liabilities Bank O/D |
|
32,000 |
|
| |||
Creditors |
| 1,15,500 |
|
| |||
Provision for Tax |
| 67,500 |
|
| |||
Proposed Dividend |
| 1,12,500 |
|
| |||
|
|
|
| 3,27,500 | |||
Capital Employed |
|
|
| 17,80,000 | |||
Step 3: Calculation of Normal Profit
Normal Profit = 17,80,000 × 8% = 1,42,400
Step 4: Calculation of Super Profit
Super Profit = 1,65,000 – 1,42,400 = 22,600
Step 5: Calculation of Goodwill
Goodwill = 22,600× 3 = 67,800
Valuation of Shares
Step 1: Net Assets available to Equity Shareholders
Capital Employed Add: Goodwill | 17,80,000 67,800 |
Add: Calls in arrears/uncalled | 18,47,800 |
| 2,000 |
Net assets available to Equity shareholders | 18,49,800 |
Step 2: Value per Share
Value per Share=18,49,800/15,000= 123.32
Totally paid-up share value = 123.32 – 30 = 103.32.
Q9) The following particulars of Amber Ltd. as on 31st March, 2012 are available:
1. 1,00,000 Equity Shares of Rs 100 each fully paid | Rs 1,00,00,000 |
2. 10,000 12% Preference shares of Rs 100 each fully paid | Rs 10,00,000 |
3. Securities Premium | Rs 11,50,000 |
4. Profit and Loss Account | Rs 33,58,000 |
5. General Reserve | Rs 18,85,000 |
6. Current liabilities: |
|
Creditors Rs 31,20,000 |
|
Bills Payable Rs 10,60,000 | Rs 41,80,000 |
7. Average Profit after Tax (for last three years) Rs 5,85,000
8. 20% of profit after tax is transferred to General Reserve every year
9. Fictitious Assets Rs 80,000
10. Normal Rate of Return is 10%
Considering the above information, compute the value of equity share by:
- Assets Backing method
- Yield method
- Fair value method (ignore goodwill)
Solution:
Valuation of Shares
Particulars | Rs |
Net Assets Value Capital Employed |
|
Equity Capital | 1,00,00,000 |
12% Preference Capital | 10,00,000 |
Reserves and Surplus: |
|
General Reserve | 18,85,000 |
Securities Premium | 11,50,000 |
Profit & Loss Account | 33,58,000 |
| 1,73,93,000 |
Less: Fictitious Assets | 80,000 |
Net Assets | 1,73,13,000 |
Less: Preference | 10,00,000 |
Net Assets for Equity shareholders | 1,63,13,000 |
Value per share | 163.13 |
Yield Method |
|
Average Profit after Tax | 5,85,000 |
Less: Preference Dividend (10,00,000 × 12% ) | 1,20,000 |
| 4,65,000 |
Less: Transferred to General Reserve | 1,17,000 |
| 3,48,000 |
F.M.P. for Equity Shareholders | 3,48,000 |
Rate of F.M.P. = 3,48,000/1,00,00,000 × 100 | 3.48 |
F.M.P. Value per share = Rate of F.M.P. × 100/Paid-up Equity Capital |
|
= 3.48/10 x 100 | 34.8 |
Rate of F.M.P. × Amount paid per share |
|
N.R.R. = 10% |
|
Fair Value = Net Assets + Yield Value/2 = 163.13 + 34.8/2 | 197.93 |
| 98.965 |
Q10) The Balance Sheet of Sagar Ltd. as on 31st March, 2011 was as follows:
Liabilities | Rs (in Lakhs) | Assets | Rs (in Lakhs) |
Equity Share Capital (Rs 10 each) | 1,000 | Building | 440 |
Profit & Loss A/c | 206 | Machinery | 190 |
Bank Overdraft | 40 | Stock | 700 |
Creditors | 154 | Debtors | 310 |
Provision for Tax | 90 |
|
|
Proposed Dividend | 150 |
|
|
| 1,640 |
| 1,640 |
The net profit of the company after deducting all working charges and providing depreciation and taxation were as under:
Year ending | Rs in Lakhs |
31-03-2007 | 170 |
31-03-2008 | 192 |
31-03-2009 | 180 |
31-03-2010 | 200 |
31-03-2011 | 190 |
On 31st March, 2011, Building was valued at Rs 500 lakhs and Machinery at Rs 300 lakhs. The other assets and liabilities have been correctly valued. In view of the nature of business, it is assumed that 10% is a reasonable return on tangible capital. Consider closing capital as average capital employed and simple average for computing average profit.
You are required to determine:
(a) Value of Goodwill on the basis of 5 year’s purchase of super profits.
(b) Intrinsic value of Equity Share.
Solution:
Sagar Ltd.
(a) Valuation of Goodwill by Super Profit Method
- Average Capital Employed
Particulars | Rs | Rs |
All assets at revised values excluding Goodwill, Non-trade |
|
|
Investments and Fictitious Assets: |
|
|
Building | 500 |
|
Machinery | 300 |
|
Stock | 700 |
|
Debtors | 310 | 1,810 |
Less: All liabilities at revised values excluding Share Capital |
|
|
and Reserves & Surplus: |
|
|
Bank Overdraft | 40 |
|
Creditors | 154 |
|
Provision for Tax | 90 |
|
Proposed Dividend | 150 | 434 |
Average Capital Employed |
| 1,376 |
2. Normal Rate of Return 10%
3. Normal Profit = A.C.E. × N.R.R. = 1376 × 10% = 137.60
4. Future Maintainable Profit
Average Profit for last 5 years ending 31st March | Rs |
2007 | 170 |
2008 | 192 |
2009 | 180 |
2010 | 200 |
2011 | 190 |
Total | 932 |
Average Profit = 932/5 = 186.40
5. Super Profit = F.M.P. – Normal Profit = 186.40 – 137.60 = 48.80
6. Goodwill = Number of years purchase × Super Profit = 5 × 48.80 = 244.00
Intrinsic Value of Equity Share
- Net Assets available to Equity Shareholders
Particulars | Rs |
Net Assets as above | 1,376 |
Add: Goodwill | 244 |
| 1,620 |
2. Intrinsic value per Equity Share
= Net Assets Available to Equity Shareholder / No of Equity Shares
= 1,620/100 = 16.20
Q11) The Balance Sheet of Adesh Ltd. as on 31st March, 2008 is given as under:
Balance Sheet as on 31st March, 2008
Liabilities | Rs in Lakhs | Assets | Rs in Lakhs |
Share Capital Equity Shares of Rs 10 each | 400 | Goodwill | 70 |
Rs 10% Preference Shares of Rs 100 each | 100 | Building (Cost) | 150 |
Reserve and Surplus | 115 | Machinery(Net) | 250 |
Creditors | 183 | Inventory | 330 |
Bank Loan | 115 | Debtors | 150 |
Provision for Tax | 37 |
|
|
| 950 |
| 950 |
The after tax profits during the immediately past 5 years were as follows:
Year | Rs in Lakhs | % Dividend |
2003-04 | 20 (Loss) | – |
2004-05 | 68 | 18 |
2005-06 | 133 | 20 |
2006-07 | 120 | 22 |
2007-08 | 135 | 25 |
(a) The loss of 2003-04 was due to strained industrial relations relations, which has since improved satisfactorily.
(b) The market price of equity shares at present is Rs 130 per share.
(c) The profit for 2007-08 was calculated after debiting the Profit & Loss A/c with Rs 50 lakhs for MD’s remuneration. In future, it will be Rs 6 lakhs for which necessary formalities have been completed.
(d) A tender submitted in 2006-07 has been accepted and the annual additional earnings for the contract is going to be Rs 80 lakhs for the next 5 years with an annual growth 5%. For this purpose, new machinery worth Rs 100 lakhs would be needed and it will be acquired by issuing paid-up shares.
The following revaluation have been agreed upon:
Buildings Rs 220 lakhs
Inventory Rs 350 lakhs
Debtors Rs165lakhs
You are required to calculate:
(a) Goodwill, if any on the basis of 5 year’s purchase of average annual super profits.
(b) Valuation of equity shares on Asset Backing Method (Net Assets Method).
(c) Valuation of equity shares on earnings basis when normal earnings in similar kind of business is 16%.
(d) Valuation of equity shares on yield basis.
Solution:
Working
(a) Calculation of Capital Employed
Particulars | Rs in Lakhs | Rs in Lakhs |
Assets: Building Machinery Inventory Debtors Total Assets Liabilities: Bank loan Creditors Provision |
220 250 350 165 |
985
(335) |
115 183 37 | ||
|
100 10 | 650 |
Add: Dividend Equity Preference
Less: On the Profit during the year (1/2 of Rs1,35,000) Net Tangible Assets |
110 760
(67.50) | |
| ||
692.50 |
(b) Normal Rate of Return
Average Dividend = 18+20+22+15/4 = 85/4 = 21.25%
NRR= Dividend/ Market Price x 100
= 21.25/130 x 100 = 16%
(c) Normal Profit of Average Capital Employed= 16% of 692.5 lakhs
= 110.8 lakhs
(d) Future Maintainable Profit= 68+133+120+135 = 456 lakhs
Average Profit= 456/4 = 114 lakhs
Annual Average Profit before Tax= 114/70 x 100 = 162.85 lakhs
Add: Increase in Earnings 80.00 lakhs
Less: Increase in MD’s remuneration (10.00) lakhs
232.85 lakhs
Less: Tax @ 30% (69.85) lakhs
FMP 163.00 lakhs
Super Profit = F.M.P. – Net Profit
= 163 lakhs – 110.8 lakhs
= 52.2 lakhs
(a) Goodwill = 5 × Super Profit
= 5 × 52.2 lakhs
= Rs 261 lakhs
(b) Value Per Share
Net Tangible Assets 692.50 lakhs
Add: Goodwill 261.00 lakhs
953.50 lakhs
Less: Preference Capital 100.00 lakhs
Net Assets 853.50 lakhs
Number of shares = 40 lakhs
Value per Share= Net Assets/ No of Shares = 853.50/40 = Rs 21.34
(c) Value per share on basis of earnings= ARR/NRR x paid up value per share
ARR = Avg Profit/C.E x 100
= 163/692.32 x 100 = 23.53%
Value per share = 23.53/16 x 10 = Rs 14.70
(d) Yield Value = Dividend per share/Normal rate x 100
= 2.5/16 x 100 = 15.62%
Or Alternatively
Workings:
Calculation of Capital Employed:
Total Assets 985 lakhs
Less: Liabilities 335 lakhs
650 lakhs
Less: 1/2 of Retained Earnings = 25 12.50 lakhs
637.50 lakhs
Average rate of dividend =21.25%
N.R.R= 16%
Normal Profit = 16% of 637.50 = Rs 102 lakh
Average Profit before Tax= 114/70 x 100 = 162.85%
Say 163 lakhs
Less: Normal Profit 102 lakhs
Super Profit 61 lakhs
(a) Goodwill = 5 × Selling Price = 5 × 61 = 305 lakhs.
(b) Value of Equity Share of Net Asset Basis:
Net Assets 760 lakhs
Add: Goodwill 305 lakhs
1065 lakhs
Less: Profit Capital 100 lakhs
Net Assets 965 lakhs
Value of Share= 965/40 = Rs 24.125 lakhs
(c) Value of Equity shares on earning basis = 135-10 (Pref Div) x 10
400
= 125/400 x 10 = Rs 31.25
Value per share = 31.25/16 x 10 = Rs 19.53
OR
= 135-10 x 100
Capital+ R&S-Deferred Revenue Exp
= 125/515 x 100 = Rs 24.27
Value per share= 24.57/16 x 10 = Rs 13.28
(d) Yield Basis = Average Yield/16 x 10
= 21.25/16 x 10 = Rs 13.28
References
1. Corporate Accounting by B.B.Dam
2. Corporate Accounting by K.R.Das