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The cost of goods sold depends on (1) the inventory system used, and, (2) whether or not a cost flow assumption is used (and if so, which one).

Inventory systems

There are two inventory systems: the perpetual inventory system and the periodic inventory system.

The perpetual inventory system

With the perpetual inventory system, the inventory is updated with every purchase and expense. This implies that cost of goods sold is increases with every sale, at the time of each sale. The cost bases depends on the cost flow assumption used (see below)

The periodic inventory system

With the periodic inventory system, purchases are expensed, while with sales, cost of goods sold is not calculated. Hence, there is no system in place that can tell how much inventory there is.

The inventory is counted at the end of the period. At this point in time, the cost of goods sold can be computed.

Because:

beginning inventory + purchases = ending inventory + cost of goods sold

this implies:

cost of goods sold = purchases + beginning inventory - ending inventory

The end of period count is a physical count. The $ value of the goods depend on the cost flow assumption (discussed next)

Cost flow assumption

When goods are similar in nature (the company is trading coffee, oil, etc), the company can decide to assume some 'flow' of the goods for cost purposes. Common assumptions are:

LIFO: Last in, first out: the most recent purchases are sold first

FIFO: First in, first out: the oldest inventories are sold

Average cost: An average cost is computed

The alternative is 'specific identification', meaning that no cost flow is assumed but the actual cost for the goods is determined (this requires some sort of information system).

The cost of good sold

Depending on choices (1) for inventory system and (2) cost flow assumption different values for cost of goods sold and ending inventory can be possible.

For FIFO, the perpetual and periodic inventory will lead to the same cost of goods sold (as well as ending inventory value).

For LIFO (as well as average cost), the cost of goods sold could very well differ for the perpetual inventory system and the periodic inventory system. With the periodic inventory system the cost of goods sold is determined at the end of the period. This means that for example purchases after the last sale are included for determining the cost of goods sold. This is not the case with the perpetual inventory system. With the perpetual inventory system this is done for each sale at the time of sale.

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