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Financial Analysis puzzles, solved step by step

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  1. 001Two store chains run identical stores and earn the same Rs 100 crore a year before property costs. One owns its stores; the other leases them at Rs 12 crore a year for 10 years. Once the lease is capitalised at 9%, the leaser's EBITDA rises by Rs 12 crore and a lease liability of about Rs 77 crore appears. How do you compare the two on EV/EBITDA fairly?Accounting flow riddlesHardMizuhoNew York · 2026

    Try it first

    The owner trades at 8.0x. The leaser's shares and debt are worth Rs 723 crore and its EBITDA, rent added back, is Rs 100 crore. Which multiple is the fair one to set beside 8.0x?

    Show the worked solution

    Put the lease liability inside EV whenever the rent is outside EBITDA. After capitalisation the leaser's EBITDA is Rs 100 crore, like the owner's. Its shares and debt are worth Rs 723 crore, so dividing those alone gives 7.2x and makes it look cheaper. Add the Rs 77 crore lease and it is 8.0x, the owner's multiple. The numerator and denominator must describe the same claims.

    Why does a lease behave like debt?

    Think of two families in identical flats. One bought with a home loan; the other rents on a ten year agreement it cannot walk away from. Both owe fixed payments for years. A long lease is a loan from the landlord, repaid in rent, so the rent contains both the use of the asset and the financing of it. Under IFRS 16, and Ind AS 116 in India, the leaser now shows that promise as a lease liabilityThe present value of the rent the company is contractually committed to pay over the lease term, carried on the balance sheet like a borrowing.: Rs 12 crore a year for ten years, discounted at 9%, is about Rs 77 crore.

    The relationship
    L=12×1−1.09−100.09=12×6.418≈77.0L = 12 \times \frac{1 - 1.09^{-10}}{0.09} = 12 \times 6.418 \approx 77.0
    12yearly rent, Rs crore
    0.09the discount rate applied to the lease
    10years left on the lease
    What it says in wordsThe lease liability is the rent stream discounted back to today, exactly as you would value a loan's repayments.

    What changes in the numbers, and what does not?

    Capitalisation moves the rent out of operating costs. It comes back as depreciation on a right-of-use asset and interest on the lease, both below EBITDA. So the leaser's EBITDA jumps by the full Rs 12 crore while nothing about its stores, customers or cash has changed. The same move puts about Rs 77 crore of lease on the balance sheet. The two changes are a pair, and a fair multiple has to use both halves or neither.

    Rent moves into EBITDA, so the lease must move into EVOwns its storesEnterprise value, Rs crore800 shares and debtEBITDA after lease capitalisation, Rs crore100800 / 100 = 8.0xNo lease, so nothing to adjustLeases its storesEnterprise value, Rs crore723 shares and debt+77 lease liabilityEBITDA after lease capitalisation, Rs crore88 after rent+12 rent added backMixed: 723 / 100 = 7.2xrent added to EBITDA, lease left out of EVConsistent: (723 + 77) / 100 = 8.0xrent in EBITDA and lease inside EV
    After capitalisation the leaser's EBITDA rises from Rs 88 crore to Rs 100 crore and a Rs 77 crore lease appears. Dividing only its Rs 723 crore of shares and debt by Rs 100 crore gives 7.2x, while adding the lease to EV gives 8.0x, the same as the owner.

    Where does this bite in real comparables work?

    Data providers and peer tables do not always treat leases the same way, and a peer set can mix companies reporting under different standards. Before trusting a multiple, check whether its EV includes lease liabilities and whether its EBITDA is before or after rent, then make every company in the table match. A retailer, airline or restaurant chain that leases most of its sites can look 11% cheaper than an owner purely from this mismatch, which is the whole of the gap in this example.

    Say the limitation too. The capitalised figure depends on the discount rate and the lease term the company chose, so two leasers with the same rent can carry different liabilities. Lease-adjusted multiples are better, not exact.

    Where candidates lose it

    The common loss is quoting the leaser at 7.2x and calling it cheap. The candidate has taken the EBITDA uplift from the new standard and forgotten the liability that came with it, so the comparison rewards a company for renting instead of owning.

    The second miss is going the other way and deducting rent from one company's EBITDA while leaving the other's untouched. Whichever basis you choose, say it once and apply it to every company in the set.

    What the interviewer asks next

    • Before lease capitalisation, how would you have compared the two chains, and what is EBITDAR?
    • What happens to the leaser's net income in year 1 compared with the old rent expense?
    • Does lease capitalisation change the leaser's free cash flow?
    • How should a DCF treat lease payments if EBITDA already excludes rent?

    Asked at Mizuho, Generalist, New York, 2026 (Wall Street Oasis): How does a $10 increase for depreciation Finance lease vs operating lease (which effect valuation)

  2. 034A parent earns Rs 200 crore on its own and owns 60% of a subsidiary that earns Rs 50 crore and has book equity of Rs 300 crore. What are consolidated net income, net income attributable to the parent, and the non-controlling interest on the balance sheet?Accounting flow riddlesHardMoelis & CompanyNew York · 2025

    Try it first

    Consolidated net income, before anything is split off: which figure?

    Show the worked solution

    Consolidated net income is Rs 250 crore, Rs 230 crore is attributable to the parent, and non-controlling interest on the balance sheet is Rs 120 crore. Control brings in all of the subsidiary's Rs 50 crore profit. The outside holders' 40%, Rs 20 crore, is shown as profit attributable to non-controlling interest. On the balance sheet, their 40% of Rs 300 crore of book equity sits as a separate line in equity.

    Why take in all of a company you only partly own?

    Think of a family that controls a shop it co-owns with a cousin. The family runs it, banks its takings and pays its bills, so to describe what the family controls you count the whole shop, then note that a share of the profit belongs to the cousin. Control, not ownership share, decides consolidation, so the parent adds 100% of the subsidiary's revenue, costs, assets and debt, then shows the minority's share of profit and equity on separate lines. That is why consolidated net income is 200 plus 50, Rs 250 crore, and not 200 plus 30.

    Consolidation takes in 100% of the subsidiary, then hands 40% back on its own lineParentOwn profit Rs 200 croreSubsidiaryProfit 50, book equity 300owns 60%Outside shareholders own 40%Consolidated net income, Rs croreParent 200+50250Less non-controlling interest: 40% x 50-20Attributable to parent shareholders230Equity section, Rs croreParent's 60%: 180NCI 120Subsidiary book equity 300NCI on the balance sheet40% x 300 = 120
    The parent consolidates all Rs 50 crore of the subsidiary's profit to reach Rs 250 crore, peels off the outside holders' Rs 20 crore to leave Rs 230 crore for its own shareholders, and shows their 40% of Rs 300 crore of book equity, Rs 120 crore, as non-controlling interest.

    Where does non-controlling interest show up on each statement?

    On the income statement, net income of Rs 250 crore is split into Rs 230 crore for the parent's shareholders and Rs 20 crore for non-controlling interest. EPS uses the Rs 230 crore. On the balance sheet, non-controlling interest of Rs 120 crore sits inside total equity, next to the parent's own equity; if the subsidiary keeps its Rs 50 crore profit for the year, the line grows by Rs 20 crore. On the cash flow statement nothing is deducted, because the minority share of profit is not a cash payment; only dividends paid to the outside holders leave as cash, in financing. Non-controlling interest is a claim on the group by other shareholders, which is why an EV bridge adds it back alongside debt.

    State your assumption: the minority is measured at its share of the subsidiary's book equity, with no fair-value uplift or goodwill allocated to it on acquisition. Under the full goodwill method the line would be larger. And note the boundary case: had the parent owned 40% without control, it would use the equity method, report the same Rs 230 crore of net income, but show none of the subsidiary's revenue or debt.

    Where candidates lose it

    The common error is consolidating 60% of the subsidiary, getting Rs 230 crore and calling it consolidated net income. That is proportionate consolidation, which is not how control is accounted for. The Rs 230 crore is right, but it is the attributable figure, not the consolidated one.

    The second loss is computing NCI on the balance sheet as 40% of the profit, Rs 20 crore. Profit is a flow; the balance sheet line is a stock, 40% of the subsidiary's equity.

    What the interviewer asks next

    • Why does an EV bridge add non-controlling interest, and what goes wrong if you forget it?
    • If the parent bought the remaining 40% for Rs 150 crore, how would the accounts change?
    • How would the numbers look under the equity method at 40% ownership?

    Asked at Moelis & Company, Generalist, New York, 2025 (Wall Street Oasis): Minority interest on the 3 statements and debt waterfall

  3. 053A software company reports free cash flow of Rs 400 crore after adding back Rs 150 crore of stock-based compensation. It has 10 crore shares at Rs 800. What is its free cash flow yield with and without the add-back, and how does stock pay reach equity value if you do not know the future share price?Accounting flow riddlesHardEvercoreMenlo Park · 2025

    Try it first

    What is the free cash flow yield once stock pay is treated as a cost?

    Show the worked solution

    The reported yield is 5.0%; with stock pay treated as a cost it is 3.1%. Market value is 10 crore shares at Rs 800, Rs 8,000 crore. Rs 400 crore over that is 5.0%; Rs 250 crore is 3.1%. You do not need a future share price: deduct stock pay as if it were cash salary, because whatever the price, the shares handed to staff are worth Rs 150 crore.

    Why is stock pay a real cost when no cash leaves?

    Think of a family shop that pays its manager with a slice of the business instead of a salary. The till looks fuller, but the family now owns less of the shop. Stock-based compensation is wages paid in ownership rather than cash, and adding it back to free cash flow counts the saving without counting the slice given away. For this company, Rs 150 crore of the Rs 400 crore reported, 37.5%, exists only because staff were paid in shares. Put the other way, the reported yield is 60% higher than the yield an owner actually earns.

    Stock pay is paid in slices of the company, and the slice has a rupee valueAs reported: 400 / 8,0005.0%Stock pay as a cost: 250 / 8,0003.1%gap 1.9%The gap equals stock pay over market value:150 / 8,000 = 1.88% of the company a yearRs 150 crore of stock pay, lakh shares issuedPrice Rs 40037.5 lakhPrice Rs 80018.75 lakhPrice Rs 1,6009.375 lakhValue handed to staff in every rowRs 150 crore: price moves the count only
    The reported yield of 5.0% falls to 3.1% once stock pay is counted as a cost, and the 1.9% gap is the share of the company given to staff each year; the Rs 150 crore grant buys more or fewer shares as the price moves, but its value to staff is Rs 150 crore every time.

    How does stock pay reach equity value if you do not know the future share price?

    There are two consistent routes. Treat stock pay as a cash expense in the DCF, leave it out of the add-backs, and divide the equity value by today's diluted share count. Or keep the add-back and forecast every share that will be issued in future, which needs the future share price you do not know. The first route avoids the circle, because the rupee value handed to staff is fixed by the grant, Rs 150 crore a year, whatever the price turns out to be. Only the number of shares depends on the price: at Rs 400 the grant is 37.5 lakh shares, at Rs 800 it is 18.75 lakh, at Rs 1,600 about 9.4 lakh. Owners give up Rs 150 crore of value each time.

    The relationship
    FCF yield=400−15010×800=2508,000=3.1%1508,000=1.9% of the company a year\text{FCF yield} = \frac{400 - 150}{10 \times 800} = \frac{250}{8{,}000} = 3.1\% \qquad \frac{150}{8{,}000} = 1.9\% \text{ of the company a year}
    400reported free cash flow, after adding back stock pay, Rs crore
    150stock-based compensation, Rs crore
    10 x 800market value of equity: 10 crore shares at Rs 800
    What it says in wordsTake stock pay out of free cash flow before dividing by market value; the gap between the two yields is the slice of the company handed to staff each year.

    What is the one line that shows you understand it?

    The gap between the two yields, 5.0% less 3.1%, is 1.9%, exactly the share of the company given to employees each year. An investor who takes the 5.0% at face value is being paid partly in their own dilution. The limit to say: stock pay retains staff and may cost less than the cash salary it replaces, so it is a real expense rather than a waste. The only point is that it must be counted once, as a cost.

    Where candidates lose it

    The common answer is that stock compensation is non-cash, so the add-back is right and the yield is 5.0%. That treats a cost paid in shares as free, and in software, where stock pay can be a large share of revenue, it makes a business look far cheaper than it is.

    The second trap runs the other way: deducting stock pay as a cost and also using a share count that includes every future grant. That charges owners twice. Pick one treatment: cost it as cash, or model the dilution, never both.

    What the interviewer asks next

    • The share price halves and the rupee grant stays at Rs 150 crore. What happens to the yearly dilution?
    • Where does stock pay sit on the cash flow statement, and why is it added back there?
    • The company spends Rs 150 crore a year buying back shares to hold the count flat. What is its yield now?

    Asked at Evercore, Investment Banking, Menlo Park, 2025 (Wall Street Oasis): how does SBC get reflected in UFCF/DCF, how does SBC impact EQ if you don't know how much share price is

  4. 063An acquirer pays Rs 900 crore in cash for 100% of a target whose book equity is Rs 500 crore. In the purchase price allocation, a brand that is not on the target's books is valued at Rs 200 crore, and it creates a deferred tax liability at a 25% tax rate. Compute goodwill and show what changes on the combined balance sheet.Accounting flow riddlesHardCitiNew York · 2025

    Try it first

    How much goodwill is recorded?

    Show the worked solution

    Goodwill is Rs 250 crore. Fair value of net assets is book equity of Rs 500 crore plus the Rs 200 crore brand, less a Rs 50 crore deferred tax liability (25% of 200): Rs 650 crore. Price paid less that is 900 - 650 = 250. On the combined balance sheet cash falls Rs 900 crore, the target's assets arrive with the brand and goodwill, a Rs 50 crore liability appears, and the target's equity disappears.

    What exactly is goodwill?

    Buying a running restaurant for Rs 90 lakh when its kitchen, furniture and stock are worth Rs 50 lakh, and its name alone could be sold for Rs 20 lakh, leaves Rs 20 lakh paid for things you cannot list: the regulars, the location's habit, the team. Goodwill is the plug: price paid less the fair value of every asset and liability you can identify, including the tax that comes with them. So the work is in the identifiable side, and the brand and its tax are the two lines people miss.

    Goodwill is what is left after every identifiable asset and its tax900Price paid-500Book equity-200Brand+50Deferred tax250Goodwill25% x 200Fair value ofnet assets500 + 200 - 50= 650900 - 650 = 250
    Starting from the Rs 900 crore price, subtracting book equity of 500 and the brand of 200 and adding back the Rs 50 crore deferred tax liability the brand creates leaves Rs 250 crore of goodwill.

    Why does the brand create a tax liability?

    The brand goes onto the books at Rs 200 crore, but in a share purchase the tax authorities see no new asset: its tax base stays at zero. As the brand is amortised in the accounts, no matching tax deduction arrives, so future tax bills will be higher than the book profits suggest. That future tax is a real liability, 25% of the Rs 200 crore gap, Rs 50 crore, and it is booked on day one. A liability reduces net assets, so it increases goodwill by the same Rs 50 crore. In an asset purchase where the step-up is tax-deductible, there would be no liability and goodwill would be Rs 200 crore; check which structure and which tax rules apply.

    Rs croreAcquirerTarget, bookDeal entriesCombined
    Cash1,2000(900)300
    Other assets2,80080003,600
    Brand00200200
    Goodwill00250250
    Total assets4,000800(450)4,350
    Liabilities1,50030001,800
    Deferred tax liability005050
    Equity2,500500(500)2,500
    Total liabilities and equity4,000800(450)4,350
    With an illustrative acquirer, the deal entries take Rs 900 crore of cash out, add the brand and Rs 250 crore of goodwill, add the Rs 50 crore deferred tax liability and eliminate the target's equity, so both sides of the combined balance sheet fall by Rs 450 crore and still balance at Rs 4,350 crore.

    What happens to these numbers after the deal?

    The target's equity vanishes because the acquirer now owns it; only the acquirer's equity survives, unchanged by a cash deal. Afterwards the brand, if it has a finite life, is amortised, and the deferred tax liability unwinds in step, which softens the hit to net income. Goodwill is not amortised under Ind AS and IFRS; it is tested for impairment at least once a year, so a disappointing acquisition shows up later as a write-down. Confirm the treatment under the standard the company reports in. The interviewer is checking that you can make the balance sheet balance and explain why each new line exists.

    Where candidates lose it

    The common slip is ignoring the deferred tax liability and answering Rs 200 crore. Candidates step up the brand and stop, forgetting that a book asset with no tax base brings a future tax bill with it.

    The second slip is the direction: subtracting the liability from goodwill as if it were another asset. A liability lowers the fair value of what you bought, so the plug, goodwill, gets bigger, not smaller.

    What the interviewer asks next

    • The deal is paid entirely in new acquirer shares. What changes on the combined balance sheet?
    • The brand is amortised over ten years. What happens to net income and to the deferred tax liability each year?
    • Two years later the business disappoints. Walk a Rs 100 crore goodwill impairment through the three statements.

    Asked at Citi, Investment Banking, New York, 2025 (Wall Street Oasis): Balance sheet changes during a merger

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