# Average Inventory

The mean value of an inventory during a determined period of time

## What is the Average Inventory?

The average inventory is the mean value (that can be different from the median value) of an inventory during a determined period of time. The average inventory is thus a mathematical calculation. It estimates, on average, the value or the number of goods stored.

Below is the formula to calculate the average inventory: Where:

• AI is the average inventory
• N is the number of time periods

### What is Inventory?

Before explaining in more detail what the average inventory is used for and its benefits, let us give a basic definition of inventory. Inventory is the registration of all the goods ready to be sold or all the raw material stored in the warehouse of a given company.

#### Understanding Average Inventory

Usually, the inventory balance is measured on the last business day of each month. Thus, the average inventory is usually calculated for a time longer that one month, like a trimester or a year. The punctual inventory is referred to as the inventory balance corresponding to each month.

The average inventory can be used for different purposes. The two most common usages are related to the comparison of sales or revenue.

On the one hand, the comparison of the average inventory of two different periods can show if it is constant or if it is changing due to an increase or a decline in sales. On the other hand, the average inventory helps understand how much the company needs to invest in its inventory to generate certain revenues.

Moreover, keeping track of the average inventory helps the company to see if it incurred losses in the raw material or the stored goods. It can occur for different reasons, such as inaccuracy, theft, or warehouse accidents.

### Drawbacks of Average Inventory

In the previous paragraph, we saw how the average inventory can be useful in many circumstances; however, it comes with a few drawbacks.

Using an average estimation instead of a punctual one, you may lose a lot of fluctuation. If the data is very volatile, you will not see it with an average calculation. For example, common practice allows the calculation to be based on a month-end inventory balance, but it can be very different if calculated on a day-end inventory balance.

Another problem arises if the average inventory is used to calculate the business trend in the year-to-date calculation. If the sales are seasonal, it can lead to a skewed distribution that can be misleading.

Lastly, there is a problem in common practice. Most of the time, the month-end inventory value is estimated instead of measured. Estimated values can come with errors that will be reported and amplified in the calculation of the average inventory.

It is necessary to keep in mind all these pitfalls every time we want to use the average inventory data.

### Practical Example

The owner of a local supermarket wants to see if the average inventory of the first semester in 2019 is consistent with the average inventory calculated for the first quarter of the year. The average inventory for the first quarter was \$10,000. It means that, on average, the value stored in the supermarket warehouse in January 2019 was \$10,000. The same value applied for February 2019 and March 2019.

If we want to calculate the average inventory for the first semester, we need the month-end inventory for April, May, and June 2019. The warehouse manager registered the following value:

• April 2019: \$12,000
• May 2019: \$7,000
• June 2019: \$11,000

If we apply the formula, the average inventory for the first semester results to be: The average inventory calculated for the semester is the same as the one calculated for the first quarter of the year. It means that the sales are quite stable and that the volatility is very low.

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• Cost of Goods Sold (COGS)
• Days Inventory Outstanding (DIO)
• Assemble-to-Order
• Products and Services