Thursday, 8 October 2015

Valuation of Goodwill - partnership accounting


Valuation of Goodwill

Goodwill is an intangible asset. Therefore it is very difficult to assess the value of it. Its value depends on the seller & purchaser’s mutual agreement. There are different methods of valuing goodwill. Some are discussed as below:

1.     Average Profit Method: This is a very simple method. Goodwill is calculated on the basis of the no. of past years profits. Because past profits indicate as to what profits are likely to accrue in the future. Therefore past profits are averaged. Average of such profits is multiplied by the agreed no. of years to find out the value of goodwill.

Value of Goodwill = Average Profit × Number of Years of Purchase

Some adjustment should be done while calculating the average profit:

·        Abnormal income of a year should be deducted out of the net profit of that year.

·        Abnormal loss of a year should be added back to the net profit of that year.

·        Income from investments should be deducted out of the net profit of that year.

Example: X sold his business to Y. Calculate the value of goodwill taking into consideration the following factors:

·        Goodwill is valued at three years purchase of the average profits of the last four years. Profits of the last four years were as : year 2011 – ₹40,000, year 2012 – ₹58,000, year 2013 – ₹53,000, year 2014 – ₹62,000.

·        Abnormal loss of ₹2,000 due to theft has reduced the profits of the year 2011.

·        Profits for the year 2012 include abnormal profit of ₹4,000.

·        A speculative and lottery profit of ₹5,000 was received during the year 2013 which was included in that year’s profit.

·        Profits of the year 2014 were reduced by ₹10,000 of the depreciation on such a machinery which was destroyed by the fire during the year.

Solution: Valuation of Goodwill

                                                                                                 

              Profit for 2011                             40,000              

Add:     Abnormal Loss                               2,000                42,000

             Profit for 2012                              58,000

Less:    Abnormal Gain                               4,000                54,000

             Profit for 2013                              53,000

Less:    Abnormal Gain                               5,000                48,000

             Profit for 2014                              62,000

Add:     Abnormal Loss                             10,000               72,000

              Total Profit                                                                 2,16,000

Average Profits = ₹ 2,16,000 / 4  = ₹ 54,000

Goodwill at 3 years purchase = ₹ 54,000 × 3 = ₹ 1,62,000       

                       

2.     Weighted Average Profit Method: It is considered better than the simple average profit method because each year’s profit is assigned a weight and highest weightage is given to the latest year. Then the each year’s profit is multiplied by the weight assigned to it and the total of their product is then divided by the total of weights in order to calculate the weighted average profits. Then goodwill is calculated by multiplying the weighted average profit obtained with the no. of year’s purchase agreed.

 

Weighted Average Profit=Total of Products of Profits/Total of Weights

           Goodwill = Weighted Average Profit × No. of Year’s of Purchase 
Example: The profits earned by a firm during the last four years were as follows:

Year ended 31st March                         Profits (₹)

2009                                                             80,000

2010                                                           1,00,000

2011                                                           1,10,000

2012                                                           1,50,000

Calculate the value of goodwill on the basis of 3 year’s purchase of weighted average profits. Weights to be used 1, 2, 3 and 4 respectively to the profits for 2009, 2010, 2011 and 2012.

Solution: Valuation of Goodwill

Year ended 31st March                   Profits (₹)             Weight               Products

2009                                                    80,000                     1                         80,000

2010                                                 1,00,000                     2                      2,00,000

2011                                                 1,10,000                     3                      3,30,000

2012                                                 1,50,000                     4                      6,00,000

                                                                                             10                   12,10,000

Weighted Average Profit = 12,10,000 / 10 = ₹ 1,21,000

Goodwill = ₹ 1,21,000 × 3 = ₹ 3,63,000

This method is preferred when the profits over the past 4 or 5 years have been continuously rising or falling.

3.     Super Profit Method: In this method goodwill is calculated on the basis of super profits. Super profit is the profit which a firm earns over normal profit. If it has no excess profit then it will have no goodwill. Goodwill is calculated by multiplying the super profits by a reasonable no. of years purchase.

Normal Profit = Capital Invested × Normal Rate of Return/100
 

Super Profit = Actual or Average Profit – Normal Profit

 

Goodwill = Super Profit × No. of years purchase

Example: A partnership firm earned net profits during the last four years as follows:

Year                                                            Profits (₹)

1                                                                                                                  56,000

2                                                                                                                  64,000

3                                                                                                                  60,000

4                                                                                                                  62,000

The Capital investment in the firm throughout the above mentioned period has been ₹ 3,00,000. Having regard to the risk involved, 15% is considered to be a fair return on capital. Calculate the value of goodwill on the basis of 3 years’ purchase of average super profits earned during the above mentioned 4 years.

Solution: Total Profits of four years=₹56,000+₹64,000+₹60,000+₹62,000

                                                                 = ₹ 2,42,000

Average Profit = ₹ 2,42,000 / 4 = ₹ 60,500

Normal Profit = 3,00,000 × 15 / 100 = ₹ 45,000

Super profit = ₹ 60,500 – ₹ 45,000 = ₹ 15,500

Value of Goodwill = 15,500 × 3 = ₹ 46,500




4.     Capitalisation of Average Profit Method:  In this method, Goodwill is calculated by deducting the actual capital employed from the capitalized value of average profits. First we calculate average profits and then we capitalized it on the basis of normal rate of return.



Capitalized value of Average Profit=Average Profits×100/Normal Rate of Return



Capital Employed = Assets – Liabilities


Goodwill = Capitalized Value of Average Profits – Capital Employed

There will be no goodwill if the actual capital employed in the business exceeds or equals the capitalized value of average profits.

Example: The average profit of a firm is ₹ 48,000. The total assets of the firm are ₹ 8,00,000. Value of other liabilities is ₹ 5,00,000. Average rate of return in the same business is 12%. Calculate the goodwill from capitalization of average profits method.

Solution: Capitalized value of Average profits=₹48,000×100/12=₹4,00,000

Capital employed = ₹ 8,00,000 – ₹ 5,00,000 = ₹ 3,00,000

Goodwill = ₹ 4,00,000 - ₹ 3,00,000 = ₹ 1,00,000

5.     Capitalisation of Super Profit Method: In this method Goodwill is calculated on the basis of super profits. We have to calculate the capital needed for earning of super profits on the basis of normal rate of return. This capitalized value of super profit is actually called the Goodwill.


Super Profit = Average Profit – Normal Profit


Goodwill = Super Profit ×100 / Normal Rate of Return

Example: From the figures given below, calculate goodwill according to the capitalization of super profit method:
(i)                Actual Average Profits = ₹ 72,000

(ii)              Normal Rate of Return = 10%

(iii)            Assets = ₹ 9,70,000

(iv)            Liabilities = ₹ 4,00,000


Solution: Capital Employed = Assets – Liabilities

                                                  = ₹ 9,70,000 - ₹1,00,000 =₹ 5,70,000       

Normal Profit=Capital Employed×Normal Rate of Return/100

                          = ₹ 5,70,000 × 10 / 100 = ₹ 57,000

Super Profit = Average Profit – Normal Profit

                       = ₹ 72,000 - ₹ 57,000 = ₹ 15,000

Goodwill = Super Profit×100/Normal Rate of Return

                 = ₹ 15,000×100/10 = ₹1,50,000
 

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