Write-downs and impairments
Marking an asset down: a non-cash charge whose cash effect depends entirely on tax.
- Walk an inventory write-down through the three statements
- Explain why a goodwill impairment moves no cash at all
- Work out the size of a write-down from the change in cash
- Say what a write-down tells you about the business
The intuition
A clothing retailer has $1 million of winter coats in its warehouse. Winter ends early, and the coats will now only sell for $600,000. The retailer does not wait until it sells them: it writes the inventory down by $400,000 today, because the balance sheet should not claim the coats are worth more than they are.
No cash moved: the coats were paid for months ago. The write-down is an admission, recorded as an expense. Whether it affects cash at all comes down to one question: does the tax authority let you deduct it?
A write-down is a non-cash charge. If it is tax-deductible, cash rises by the tax saved, just like depreciation. If it is not, cash does not move and net income takes the full hit.
Why it works
- Balance sheet. The asset (inventory, goodwill, a factory) falls by the charge, W.
- Income statement. The same W runs through as an expense. An inventory write-down usually sits in cost of goods sold, so EBITDA falls too; impairments of goodwill and other long-lived assets sit below EBITDA.
- Tax. An inventory write-down is generally deductible: tax falls by W × t and net income falls by W × (1 − t). A goodwill impairment generally is not: tax does not move and net income falls by the full W.
- Cash flow statement. Start from net income and add back the non-cash charge, W. What remains is the tax saving: W × t for a deductible charge, zero otherwise.
- Balancing. Assets fall by W, partly offset by any extra cash. Retained earnings fall by the drop in net income. The two always match.
| Inventory write-down (deductible): net income | −30 |
| Inventory write-down: change in cash | +10 |
| Inventory write-down: total assets (−40 inventory, +10 cash) | −30 |
| Goodwill impairment (not deductible): net income | −40 |
| Goodwill impairment: change in cash | 0 |
| Goodwill impairment: total assets | −40 |
In both cases retained earnings fall by exactly the drop in net income, so the balance sheet balances.
The formulas
The one way a non-cash charge can touch cash.
−W × (1 − t) if deductible; the full −W if not.
Add the non-cash charge back and only the tax saving is left.
The asset is marked down by the full charge.
More cash (perhaps), less asset; retained earnings match.
Worked example
A full walk-through. Check whether the charge is deductible before you touch the tax line.
See it move
Same company. Switch between a deductible inventory write-down and a goodwill impairment, and change the size of the charge and the tax rate.
- Switch to goodwill. The tax line and cash stop moving, and net income falls by the whole charge.
- Switch back to inventory. Net income falls by less, and cash rises by exactly the amount net income improved.
- Raise the tax rate with inventory selected: the write-down hurts net income less and adds more cash. With goodwill selected, the tax rate changes nothing.
- Try both switches: the balance check stays green either way.
Run it backwards
Same company, reversed: the only clue is that cash went up. How big was the write-down?
A write-down uses no cash, so the only cash that moved is the tax saved: W × t. Divide the change in cash by the tax rate to get W.
This only works because the write-down was deductible. A goodwill impairment leaves cash untouched, so cash tells you nothing about its size.
Traps
Say it in the interview
“A company writes down $40 of inventory at a 25% tax rate. Walk me through the three statements.”
Check yourself
4 fresh questions, with new numbers. Answer each one correctly to finish the chapter. Get one wrong and you will see the full working, then you can try it again with new numbers.
Answers within 1% are marked right. Type the number; $, %, x and M are fine. First tries count toward Learned: the topic is Learned once every chapter is done and 75% of first tries were right.
- Write-down: asset −W, expense +W.
- Deductible: net income −W × (1 − t), cash +W × t.
- Goodwill impairment: usually not deductible, so net income −W and cash unchanged.
- Retained earnings match the change in total assets: it balances.