Three-Statement Linkage: Walk Me Through the Three Statements
“Depreciation increases by $10 — walk me through the three statements.” It is the most-asked accounting question in banking interviews, and it has exactly one right answer: net income −$6, cash +$4, and a balance sheet that still balances.
Why this matters
Why interviewers ask this
The three financial statements are not three separate documents — they are one system wired together. The income statement feeds net income into both the cash flow statement and retained earnings; the cash flow statement reconciles that net income back to the actual change in cash; and the balance sheet has to balance once every change lands. Change a single line and the ripple has to travel through all three and still tie out.
Interviewers use the depreciation version because it is the cleanest test of whether you truly understand that wiring. Depreciation is a non-cash expense, so it forces you to separate accounting profit from actual cash, apply the tax shield correctly, and then prove the balance sheet still balances. Fumble any of those and it shows instantly — there is nowhere to hide in a question with this few moving parts.
This guide walks the canonical version — depreciation up $10 at a 40% tax rate — through all three statements, pins down the one insight that trips most candidates, and then hands you a graded drill that regenerates the numbers so the walk becomes automatic.
Worked example
One expense, all three statements
The setup
- Increase in depreciation (non-cash expense)+$10
- Tax rate, t40%
- Dividends, working capital, all elseunchanged
Step 1 — Income statement
The extra $10 of depreciation lowers pretax income by the full $10. But depreciation is tax-deductible, so taxes fall too. Net income is an after-tax figure:
Taxes: −$10 × 40% = −$4 (a saving)
Net income = −$10 + $4 = −$10 × (1 − 40%) = −$6
Step 2 — Cash flow statement
The cash flow statement starts from net income, then adds back non-cash charges. Depreciation never left the company as cash, so you add the full $10 straight back:
Add back depreciation: +$10
Change in cash = −$6 + $10 = +$4
Cash rises by $4 even though you just booked a bigger expense. That $4 is exactly the tax shield: $10 × 40%.
Step 3 — Balance sheet
Now land every change on the balance sheet and confirm both sides move by the same amount:
Equity: retained earnings +net income → −$6
Assets −$6 = Liabilities (unchanged) + Equity −$6 ✓
PP&E drops by the $10 of depreciation you charged against it; retained earnings drops by the $6 of lost net income. Assets fall $6, equity falls $6, liabilities do not move — the balance sheet balances.
The intuition
The one insight: cash rises by the tax shield
The counterintuitive part is that a bigger expense increasescash. The resolution is that depreciation moves no cash by itself — it is a bookkeeping allocation of a cost you already paid when you bought the asset. The only cash consequence of recording it is a lower tax bill. So the net cash effect of $10 of depreciation is simply the taxes you avoid: D × t = $10 × 40% = $4.
That is why the general answer is worth memorizing as a formula, not just for $10 and 40%. For any increase D in a non-cash expense at tax rate t: net income falls by D × (1 − t), cash rises by D × t, and both retained earnings and total assets fall by D × (1 − t). Plug in the numbers you are given and the walk is mechanical.
It also explains why the balance sheet always ties. The after-tax hit to retained earnings, −D × (1 − t), and the net change in assets, D × t − D = −D × (1 − t), are the same number written two ways. The tax shield that lifts cash and the after-tax loss that lowers equity are two views of one economic event, so the two sides can never drift apart.
Watch out
Common mistakes
Forgetting the tax shield
The most frequent error is marking net income down the full $10 instead of $6. Depreciation is tax-deductible, so it also cuts taxes by $10 × 40% = $4. Net income is after tax, so it falls only $10 × (1 − 40%) = $6. Skip the shield and every downstream number — cash, retained earnings, and the balance is wrong from the first line.
Forgetting to add depreciation back on the cash flow statement
Some candidates carry the −$6 net income straight to cash and conclude cash fell. But the cash flow statement exists precisely to strip out non-cash charges: you add the full $10 of depreciation back. Miss that step and you will report cash down $6 when it actually rose $4 — the exact opposite direction.
Not balancing the balance sheet
A complete answer ends by proving assets = liabilities + equity still holds. Cash +$4 and PP&E −$10 net to assets −$6; retained earnings fall $6 with net income. If your two sides do not match, you have dropped a link — usually the PP&E reduction or the retained-earnings flow. Always close the loop out loud.
Reducing PP&E by the wrong amount
PP&E falls by the full $10 of depreciation charged against it, not by the after-tax $6. Depreciation reduces the gross carrying value of the asset regardless of taxes; the tax effect lives in cash and net income, not in the PP&E line. Mixing these up is what breaks the balance.
FAQ
Frequently asked questions
Depreciation increases by $10 — walk me through the three statements.
Income statement: pretax income falls $10, taxes drop by $10 × 40% = $4, so net income falls $6. Cash flow statement: start from net income of −$6, then add back the full $10 of depreciation (it is non-cash), so cash rises $4. Balance sheet: cash is up $4 and PP&E is down $10, so total assets fall $6; on the other side retained earnings fall $6 with net income. Assets −$6 = equity −$6, so the balance sheet balances.
Why does cash go up when an expense increases?
Because depreciation is a non-cash expense. The only real cash effect of booking more depreciation is that it lowers taxable income and therefore the tax bill. With a 40% tax rate, $10 of extra depreciation saves $4 of cash taxes. That $4 tax shield — depreciation × tax rate — is exactly how much cash rises, even though the income statement shows a larger expense.
Why does net income fall by only $6 and not the full $10?
Depreciation is tax-deductible. The $10 expense reduces pretax income by $10, but it also cuts taxes by $10 × 40% = $4. Net income is after tax, so it falls by $10 − $4 = $6, which is the same as $10 × (1 − 40%). Forgetting the tax shield and marking net income down the full $10 is the most common mistake on this question.
How do you prove the balance sheet still balances?
Track both sides. Assets: cash +$4, PP&E −$10, so total assets −$6. Equity: retained earnings move with net income, so −$6 (no dividends assumed, liabilities unchanged). Assets fall $6 and equity falls $6, so assets = liabilities + equity still holds. The tax shield in cash and the after-tax hit to retained earnings are two views of the same number, which is why it always ties out.
Does the answer change with a different tax rate?
Yes — the tax rate drives everything. Net income falls by D × (1 − t), cash rises by D × t, and both retained earnings and total assets fall by D × (1 − t). At a 0% tax rate there is no shield: net income falls the full $10, cash is unchanged, and PP&E down $10 is matched by retained earnings down $10. As the tax rate rises, more of the expense is offset by cash tax savings.
Now make the walk automatic
Reading the walk is one thing — reciting it under a timer with fresh numbers is another. Run the graded three-statement linkage drill, or build a full three-statement model with live data.