Understanding Goodwill Calculation Using Weighted Average Method

Goodwill is an intangible asset representing the future benefits arising from a business, such as its reputation, customer loyalty, or strong market position. Valuing goodwill is often necessary during business sales or mergers. One common method for calculating goodwill is the weighted average profit method.

The weighted average profit method assigns different weights to the profits of recent years, usually giving higher weights to more recent years. This is because recent profits are often considered a better indicator of future profitability than older profits.

Steps to Calculate Goodwill by Weighted Average Profits

To calculate goodwill using the weighted average profit method and a given number of years' purchase, follow these steps:

1. Assign weights to the profits of each year.
2. Multiply the profit of each year by its assigned weight to get the weighted profit.
3. Calculate the total weighted profits by summing up the weighted profits for all years.
4. Calculate the total weights by summing up the weights assigned to all years.
5. Calculate the weighted average profit by dividing the total weighted profits by the total weights.
6. Calculate goodwill by multiplying the weighted average profit by the number of years' purchase.

Applying the Weighted Average Method to the Given Data

We are given the profits for 5 years and the corresponding weights (1, 2, 3, 4, 5). We need to calculate goodwill based on 3 years' purchase of the weighted average profits.

Calculating Total Weighted Profits and Total Weights

• Total Weighted Profits \( = 20,000 + 48,000 + 90,000 + 100,000 + 90,000 = ₹348,000\)
• Total Weights \( = 1 + 2 + 3 + 4 + 5 = 15\)

Calculating Weighted Average Profit

The formula for weighted average profit is:

\(\text{Weighted Average Profit} = \frac{\text{Total Weighted Profits}}{\text{Total Weights}}\)

\(\text{Weighted Average Profit} = \frac{348,000}{15} = ₹23,200\)

Calculating Goodwill

The formula for goodwill is:

\(\text{Goodwill} = \text{Weighted Average Profit} \times \text{Number of Years' Purchase}\)

We are given that the goodwill is to be calculated on the basis of 3 years' purchase.

\(\text{Goodwill} = 23,200 \times 3 = ₹69,600\)

Thus, the goodwill of the firm based on 3 years' purchase of weighted average profits is ₹69,600.

Revision Table: Weighted Average Goodwill Calculation

Additional Information: Methods of Goodwill Valuation

Apart from the weighted average profit method, other common methods for valuing goodwill include:

• Average Profit Method: Calculated as the simple average of past years' profits, multiplied by the number of years' purchase.
• Super Profit Method: Calculated based on the "super profit," which is the excess of average profit over the normal profit expected from the capital employed. Goodwill is then calculated as super profit multiplied by a certain number of years' purchase, or by using the annuity method or capitalization method.
• Capitalization Method: Goodwill can be valued by capitalizing the average profit or by capitalizing the super profit. Capitalizing average profit involves comparing the capitalized value of average profit with the net tangible assets. Capitalizing super profit involves capitalizing the super profit at a normal rate of return.

Each method has its own assumptions and is used based on the specific circumstances and industry practices.