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Question
Explain various methods of valuation of goodwill.
Solution
The following are the various methods of valuation of goodwill.
1. Average Profit Method: Under this method, goodwill is calculated on the average basis of the profits of past few years. The formula for calculating goodwill is:
Goodwill = Average Profit × No. of Years Purchase
Average Profit = `"Total Profit of Past Given Years"/"Number of Years"`
Number of Years Purchase implies number of years for which the firm expects to earn the same amount of profits.
Steps to Calculate Goodwill by Average Profit Method:
Step 1: Ascertain the total profit of past given years.
Step 2: Add all abnormal losses like, loss by fire, theft etc.
Step 3: Add all normal income, if not added previously.
Step 4: Less all non-business incomes and all abnormal gains and incomes like, speculation, lottery etc.
Step 5: Less all normal expenses, if not deducted previously.
Step 6: Calculate Average Profit, by dividing the total profit ascertained in Step 5 by number of years.
Step 7: Multiply the Average Profit to the Number of Year’s Purchases to calculate the value of goodwill.
Example:
The profits for last 5 years are 1,00,000, 3,00,000, (2,00,000), 5,00,000, 8,00,000.
Calculate goodwill on the basis of 4 years purchase
Average Profit = `[1,00,000 + 3,00,000 + 5,00,000 + 8,00,000 - 2,00,000]/5`
= `[15,00,000]/5` = Rs. 3,00,000
Goodwill = 3,00,000 x 4 years = Rs. 12,00,000.
2. Weight Average Method: It is modified version of the Average Profit Method. Under this method, the weights are assigned for each year’s profit. Highest weights are assigned to the recent year’s profit and lower weights are assigned to the past year’s profits. The products of the profits and the weights are added and divided by the total weights to calculate Weighted Average Profits. The formula for calculating goodwill by this method is:
Weighted Average Profit = `"Total Products of Profits"/"Total of Weights"`
Goodwill = Weighted Average Profit x Number of Years Purchase
Steps to Calculate Goodwill by Weight Average Method:
Step 1: Assign highest weights to the recent year’s profit and lower weights to the past year’s profits, like 4,3,2,1.
Step 2: Multiply the weights with its corresponding year’s profits.
Step 3: Calculate the total of the products
Step 4: Divide the total of the product by the total of the eights in order to calculate Weighted Average Profit.
Step 5: Multiply the Weighted Average Profit by the number of years purchase.
For example:
The profits for the last 5 years are Rs 1,00,000, Rs 3,00,000, Rs (2,00,000), Rs 5,00,000, Rs 8,00,000.
Calculate goodwill on the basis of 4 years purchase
|
Profit/Loss Rs |
Weights |
Product Rs |
|
1,00,000 |
1 |
1,00,000 × 1 = 1,00,000 |
|
3,00,000 |
2 |
3,00,000 × 2 = 6,00,000 |
|
(2,00,000) |
3 |
(2,00,000) × 3 = (6,00,000) |
|
5,00,000 |
4 |
5,00,000 × 4 = 20,00,000 |
|
8,00,000 |
5 |
8,00,000× 5 = 40,00,000 |
|
Total |
15 |
Rs 61,00,000 |
Weighted Average Profit = `61,00,000/15` = Rs. 4,06,666.67
Goodwill = 4,06,666.67 x 4 = Rs. 16,26,668.
3. Super Profit Method: Under this method, goodwill is calculated on the basis of excess profit earned by a firm over the normal profit earned by its counterparts in the same industry. The excess profit over the normal profit is termed as Super Normal Profit.
Steps to Calculate Goodwill by Super Profit Method:
Step 1: Calculate Average Profit
Step 2: Calculate Average Capital Employed as:
Average Capital Empolyed = `"Opening Capital Employed" + "Closing Capital Employed"/2`
Step 3: Calculate Normal Profit by the formula:
Normal Profit = Average Capital empolyed x `"Normal Rate of Return"/100`
Step 4: Calculate Super Normal Profit by the formula:
Super Normal Profit = Average Profit – Normal Profit
Step 5: Multiply the Super Normal Profit by the Number of Years Purchase to calculate goodwill.
4. Capitalisation Method: Under this method, goodwill is calculated by the following two methods :
a) By capitalisation of Average Profit.
b) By capitalisation of Super Profit.
a) Capitalisation of Average Profit
Step 1: Calculate Average Profit
Step 2: Calculate Capitalised value of Average Profit by the following formula:
Capitalised value of Average Profit = Average Profit x `100/"Normal Rate of Return"`
Step 3: Ascertain Actual Capital Employed
Step 4: Deduct Actual Capital Employed from Capitalised Average Profit to calculate goodwill.
Goodwill = Capitalised Average Profit – Actual Capital Employed
b) Capitalisation of Super Profit
Step 1: Calculate the Capital Employed
Step 2: Calculate Normal Profit by the following formula:
Normal Profit = Average Capital Employed x "Normal Rate Of Return"/100`
Step 3: Calculate Average Profit.
Step 4: Calculate Super Normal Profit by the following formula:
Super Normal Profit = Average Profit – Normal Profit
Step 5: Calculate goodwill by the following formula:
Goodwill = Super Profit x `100/"Normal Rate Return"`
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RELATED QUESTIONS
Capital employed in a business is Rs. 2,00,000. The normal rate of return on capital employed is 15%. During the year 2015 the firm earned a profit of Rs. 48,000. Calculate goodwill on the basis of 3 years purchase of super profit?
Profits for the five years ending on 31st March, are as follows:
Year 2015 − ₹ 4,00,000; Year 2016 − ₹ 3,98,000; Year 2017 − ₹ 4,50,000; Year 2018 − ₹ 4,45,000 and Year 2019 − ₹ 5,00,000.
Calculate goodwill of the firm on the basis of 4 years' purchase of 5 years' average profit.
Calculate the value of firm's goodwill on the basis of one and half years' purchase of the average profit of the last three years. The profit for first year was ₹ 1,00,000, profit for the second year was twice the profit of the first year and for the third year profit was one and half times of the profit of the second year.
Divya purchased Jyoti's business with effect from 1st April, 2019. Profits shown by Jyoti's business for the last three financial years were:
| 2016-17 | ₹ 1,00,000 (including an abnormal gain of ₹ 12,500). |
| 2017-18 | ₹ 1,25,000 (after charging an abnormal loss of ₹ 25,000). |
| 2018-19 | ₹ 1,12,500 (excluding ₹ 12,500 as insurance premium on firm's property- now to be insured). |
Calculate the value of firm's goodwill on the basis of two year's purchase of the average profit of the last three years.
Bhaskar and Pillai are partners sharing profits and losses in the ratio of 3 : 2. They admit Kanika into partnership for 1/4th share in profit. Kanika brings in her share of goodwill in cash. Goodwill for this purpose is to be calculated at two years' purchase of the average normal profit of past three years. Profits of the last three years ended 31st March, were:
2017 - Profit ₹ 50,000 (including profit on sale of assets ₹ 5,000).
2018 - Loss ₹ 20,000 (including loss by fire ₹ 30,000).
2019 - Profit ₹ 70,000 (including insurance claim received ₹ 18,000 and interest on investments and Dividend received ₹ 8,000).
Calculate the value of goodwill. Also, calculate goodwill brought in by Kanika.
Raman and Daman are partners sharing profits in the ratio of 60 : 40 and for the last four years they have been getting annual salaries of ₹ 50,000 and ₹ 40,000 respectively. The annual accounts have shown the following net profit before charging partners' salaries:
Year ended 31st March, 2017 − ₹ 1,40,000; 2018 − ₹ 1,01,000 and 2019 − ₹ 1,30,000.
On 1st April, 2019, Zeenu is admitted to the partnership for 1/4th share in profit (without any salary). Goodwill is to be valued at four years' purchase of weighted average profit of last three years (after partners' salaries); Profits to be weighted as 1 : 2 : 3, the greatest weight being given to the last year. Calculate the value of Goodwill.
Calculate goodwill of a firm on the basis of three years' purchase of the Weighted Average Profit of the last four years. The profits of the last four financial years ended 31st March, were: 2016 − ₹ 25,000; 2017 − ₹ 27,000; 2018 − ₹ 46,900 and 2019 − ₹ 53,810. The weights assigned to each year are: 2016 − 1; 2017 − 2; 2018 − 3; 2019 − 4. You are supplied the following information:
(i) On 1st April, 2016, a major plant repair was undertaken for ₹ 10,000 which was charged to revenue. The said sum is to be capitalised for goodwill calculation subject to adjustment of depreciation of 10% on Reducing Balance Method.
(ii) The Closing Stock for the years ended 31st March, 2017 and 2018 were overvalued by ₹ 1,000 and ₹ 2,000 respectively.
(iii) To cover management cost an annual charge of ₹ 5,000 should be made for the purpose of goodwill valuation.
Manbir and Nimrat are partners and they admit Anahat into partnership. It was agreed to value goodwill at three years' purchase on Weighted Average Profit Method taking profits of last five years. Weights assigned to each year as 1, 2, 3, 4 and 5 respectively to profits for the year ended 31st March, 2015 to 2019. The profits for these years were: ₹ 70,000, ₹ 1,40,000, ₹ 1,00,000, ₹ 1,60,000 and ₹ 1,65,000 respectively.
Scrutiny of books of account revealed following information:
(i) There was an abnormal loss of ₹ 20,000 in the year ended 31st March, 2015.
(ii) There was an abnormal gain (profit) of ₹ 30,000 in the year ended 31st March, 2016.
(iii) Closing Stock as on 31st March, 2018 was overvalued by ₹ 10,000.
Calculate the value of goodwill.
Mahesh and Suresh are partners and they admit Naresh into partnership. They agreed to value goodwill at three years' purchase on Weighted Average Profit Method taking profits for the last five years. They assigned weights from 1 to 5 beginning from the earliest year and onwards. The profits for the last five years were as follows:
| Year Ended | 31st March, 2015 | 31st March, 2016 | 31st March, 2017 | 31st March, 2018 | 31st March, 2019 |
| Profits (₹) | 1,25,000 | 1,40,000 | 1,20,000 | 55,000 | 2,57,000 |
Scrutiny of books of account revealed the following:
(i) A second-hand machine was purchased for ₹ 5,00,000 on 1st July, 2017 and ₹ 1,00,000 were spent to make it operational. ₹ 1,00,000 were wrongly debited to Repairs Account. Machinery is depreciated @ 20% p.a. on Written Down Value Method.
(ii) Closing Stock as on 31st March, 2018 was undervalued by ₹ 50,000.
(iii) Remuneration to partners was to be considered as charge against profit and remuneration of ₹ 20,000 p.a. for each partner was considered appropriate.
Calculate the value of goodwill.
Average profit earned by a firm is ₹ 80,000 which includes undervaluation of stock of ₹ 8,000 on an average basis. The capital invested in the business is ₹ 8,00,000 and the normal rate of return is 8%. Calculate goodwill of the firm on the basis of 7 times the super profit.
Ideal Marketing earned an average profit of ₹ 4,00,000 during the last five years. Normal rate of return on capital employed is 10%. Balance Sheet of the firm as at 31st March, 2019 was as follows:
| Liabilities | Amount (₹) |
Assets | Amount (₹) |
|
| Capital A/cs: | Land and Building | 10,00,000 | ||
| Shyam | 5,00,000 | Furniture | 2,00,000 | |
| Sunder | 5,00,000 | 10,00,000 | Investments | 1,00,000 |
| Current A/cs: | Sundry Debtors | 5,00,000 | ||
| Shyam | 2,00,000 | Bills Receivable | 50,000 | |
| Sunder | 2,00,000 | 4,00,000 | Closing Stock | 3,00,000 |
| Reserves | 3,40,000 | Cash in Hand | 50,000 | |
| Sundry Creditors | 4,00,000 | Cash at Bank | 1,00,000 | |
| Bills Payable | 1,00,000 | |||
| Outstanding Expenses | 60,000 | |||
| 23,00,000 | | 23,00,000 | ||
Calculate the value of goodwill, if it is valued at three years' purchase of Super Profit.
Average profit of the firm is ₹ 2,00,000. Total assets of the firm are ₹ 15,00,000 whereas Partners' Capital is ₹ 12,00,000. If normal rate of return in a similar business is 10% of the capital employed, what is the value of goodwill by Capitalisation of Super Profit?
Average profit of GS & Co. is ₹ 50,000 per year. Average capital employed in the business is ₹ 3,00,000. If the normal rate of return on capital employed is 10%, calculate goodwill of the firm by:
(i) Super Profit Method at three years' purchase; and
(ii) Capitalisation of Super Profit Method.
Identify the incorrect pair
Book profit of 2017 is ₹ 35,000; non-recurring income included in the profit is ₹ 1,000 and abnormal loss charged in the year 2017 was ₹ 2,000, then the adjusted profit is ____________.
From the following information, calculate the value of goodwill under the annuity method:
| Particulars | ₹ |
| Average profit | 14,000 |
| Normal Profit | 4,000 |
| Normal rate of return | 15% |
| Years of purchase of goodwill | 5 |
Present value of ₹ 1 for 5 years at 15% per annum as per the annuity table is 3.352
When we use the super profit method for goodwill Valuation:
Goodwill is to be calculated at one and half years’ purchase of average profit of last 5 years. The firm earned profits during 3 years as ₹ 20,000 ₹ 18,000 and ₹ 9,000 and suffered losses of ₹ 2,000 and ₹ 5,000 in the last 2 years. The amount of goodwill will be:
The following steps are of which method of goodwill:
- Calculate the average profit.
- Calculate the normal profit on the capital employed on the basis of the normal rate of return.
- Calculate the super-profits by deducting normal profit from the average profits, and
- Calculate goodwill by multiplying the super-profits by the given number of years' purchase.
