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# CFA一级考试学习精要：Converting LIFO to FIFO

To make the conversion possible, U.S. GAAP requires companies that use LIFO to report a LIFO reserve (found in footnotes). The LIFO reserve is the difference between what their ending inventory would have been if they used FIFO.

Formula 8.2
LIFO reserve = FIFO inventory – LIFO inventory
Or:

FIFO inventory = LIFO inventory + LIFO reserve

Recall:

COGS = beginning inventory + purchases – ending inventory
Or:
COGS = change in inventory levels

So:

Formula 8.3

COGS (FIFO) = COGS (LIFO) – change in LIFO reserve

Or

COGS (FIFO) = COGS (LIFO) – (LIFO reserve at the end of the period – LIFO reserve at the beginning of the period)

Long Conversion
A longer way to convert LIFO to FIFO is to calculate purchases, convert both beginning and ending inventory to FIFO levels, and then calculate COGS using the FIFO inventory levels and purchases.

COGS = beginning inventory + purchases – ending inventory

Rearrange the terms:

Purchases = ending inventory – beginning inventory + COGS (LIFO)

We also know that:

Ending inventory (FIFO) = Ending inventory (LIFO) + ending period LIFO reserve

Beginning inventory (FIFO) = Beginning inventory (LIFO) + Beginning LIFO reserve

Example:

Company ABC uses LIFO.

Year-end inventory = \$2m
Beginning inventory = \$3m
LIFO reserve at year-end = \$1m
LIFO reserve at the beginning of the years = \$500,000
COSG = \$5m

Simple way to convert LIFO to FIFO

COGS (FIFO) = COGS (LIFO) – change in LIFO reserve
COGS (FIFO) = \$5m – (\$1m – \$0.5m) = \$4.5m

Complex way
Purchases = ending inventory – beginning inventory + COGS (LIFO)
Purchases = \$2m – 3m + \$5m = \$4m

Ending inventory (FIFO) = ending inventory (LIFO) + ending period LIFO reserve
Ending inventory (FIFO) = \$2m + \$1m = \$3m

Beginning inventory (FIFO) = beginning inventory (LIFO) + beginning LIFO reserve
Beginning inventory (FIFO) = \$3m + \$0.5m = \$3.5m

COGS (FIFO) = purchases + beginning inventory (FIFO) – ending inventory (FIFO)
COGS (FIFO) = \$4m + \$3.5m – \$3m = \$4.5m

To make the two companies comparable, we need to do some additional adjustments.
Under different methods COGS will vary and as a result net income should be adjusted.
If COGS under the LIFO was higher than the COGS under the FIFO method:
That would mean this company would have used the FIFO method, it would have declared a higher gross profit and hence a higher net income. But it would have also had to pay higher taxes and reduce its cash flow. A simple way to account for that is to take the positive difference in COGS and multiply it by (1-tax rate).
This difference would also be included in shareholders’ equity.
The additional tax would be recorded in income tax liability.
If COGS under the LIFO was lower than the COGS under the FIFO method:
That would mean this company would have used the FIFO method, it would have declared a lower gross profit and hence lower net income. But it would have also had to pay lower taxes and increase its cash flow. A simple way to account for that is to take the negative difference in COGS, divide the COGS by (1-tax rate).
This difference would also be included in shareholders’ equity.
The additional tax would be recorded in income tax asset.
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