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Financial Analysis puzzles, solved step by step

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  1. 072Management extends the useful lives of its assets, so depreciation falls by Rs 10 crore. The tax rate is 25% and tax depreciation follows book. Walk the change through the three statements, then say why an analyst should not treat the higher profit as good news.Accounting flow riddlesWarm upCSCredit SuisseChicago · 2022Millennium ManagementNew York · 2024TSTruist SecuritiesCharlotte · 2024

    Try it first

    What happens to the cash balance?

    Show the worked solution

    Net income rises Rs 7.5 crore, cash falls Rs 2.5 crore, and net fixed assets are Rs 10 crore higher. Income statement: depreciation down 10, pre-tax profit up 10, tax up 2.5, net income up 7.5. Cash flow: net income up 7.5 but the add-back down 10, so cash from operations down 2.5. Balance sheet: cash down 2.5, fixed assets up 10, assets up 7.5, matched by retained earnings up 7.5.

    Why does profit rise while cash falls?

    A shopkeeper who decides his delivery van will last ten years instead of five writes off half as much each year. The van is the same van, the fuel bill is the same, and no customer paid him more. Changing a useful life changes when the cost of an asset is recognised, not whether it is paid, so the extra profit is an accounting rearrangement with one real consequence: a higher tax bill. Depreciation falls 10, pre-tax profit rises 10, tax at 25% rises 2.5, and net income rises 7.5.

    Lower depreciation: profit up Rs 7.5 crore, cash down Rs 2.5 croreIncome statementDepreciation-10.0Pre-tax profit+10.0Tax at 25%-2.5Net income+7.5Cash flow statementNet income+7.5Depreciation add-back-10.0Cash from operations-2.5Change in cash-2.5Balance sheetCash-2.5Net fixed assets+10.0Total assets+7.5Retained earnings+7.5NIcashSame assets, same cash costs, same capex. Only the timing of the charge moved.Profit +7.5 Cash -2.5 Fixed assets +10: the balance sheet balances, 7.5 = 7.5The Rs 2.5 crore of extra tax is the only cash that changed hands, and it left.
    Depreciation down Rs 10 crore lifts net income by Rs 7.5 crore, but the cash flow statement loses Rs 10 crore of add-back and so cash from operations falls Rs 2.5 crore, leaving cash down 2.5, net fixed assets up 10 and retained earnings up 7.5 on the balance sheet.

    On the cash flow statement, start from net income, up 7.5, and add back depreciation, which is now 10 lower than before. Cash from operations is 7.5 - 10 = -2.5. Nothing changes in investing or financing, so cash falls 2.5. On the balance sheet, cash is down 2.5 and net fixed assets are up 10, because less accumulated depreciation has been charged against them: assets up 7.5. Retained earnings carry the 7.5 of extra net income, so liabilities and equity are also up 7.5.

    Why is the higher profit not good news?

    Because nothing about the business improved. The same machines wear out on the same schedule; the company will replace them on the same date for the same money; and it has handed Rs 2.5 crore to the tax authority earlier than it needed to. A profit increase that comes with a cash decrease and no operating change is cosmetic, and the choice to make it is itself a signal: management may be reaching for a target. It also breaks comparability with peers who kept the shorter lives, and the total charge over the asset's life is unchanged, so the profit that appears now is borrowed from later years.

    What if tax depreciation did not follow book?

    In practice the tax authority sets its own depreciation rates, and in India book depreciation under the Companies Act and tax depreciation under the Income Tax Act are computed separately; confirm the current rules before relying on this. Then cash tax does not change: net income still rises 7.5, but a deferred tax liabilityTax that the accounts recognise as owed on profit already reported, but that the tax return has not yet charged, so it will be paid in a later period. of 2.5 is booked instead of extra cash tax. On the cash flow statement, net income up 7.5, add-back down 10, deferred tax up 2.5: cash from operations is 0.0. The limit: in that version the change is purely cosmetic, cash untouched, which is why analysts read the depreciation policy note before they read the profit line.

    Where candidates lose it

    The common loss is saying cash is unchanged because depreciation is non-cash. Depreciation is non-cash, but it is tax deductible, so lowering it raises taxable profit and the tax actually paid. The cash answer is down 2.5, not flat.

    The second loss is the sign on the balance sheet: candidates take fixed assets down because depreciation moved, forgetting that less depreciation means less has been written off, so net fixed assets are higher. Check that assets up 7.5 equals retained earnings up 7.5 before moving on.

    What the interviewer asks next

    • Depreciation rises by Rs 10 crore instead. Walk the three statements.
    • The company changes from straight-line to an accelerated method. What happens to profit, cash and the deferred tax balance in year one?
    • Where in an annual report would you find a change in useful lives, and what would you compare it against?

    Asked at Credit Suisse, Investment Banking, Chicago, 2022 (Wall Street Oasis): $7 depreciation through accounting sheets
    Asked at Millennium Management, Investment Research, New York, 2024 (Wall Street Oasis): technical questions were super basic like $10 depreciation
    Asked at Truist Securities, Generalist, Charlotte, 2024 (Wall Street Oasis): Walk me through a DCF, 3 financial statements, $10 depreciation etc

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