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  1. 017Free cash flow of Rs 100 crore arrives every year for five years and the discount rate is 10%. How much does the mid-year convention add to the value, and why?DCF and cost of capitalCoreLazardNew York · 2026

    Try it first

    How much does the mid-year convention add?

    Show the worked solution

    It adds about Rs 18.5 crore, or 4.9%, taking the value from Rs 379.1 crore to Rs 397.6 crore. The mid-year convention assumes each year's cash arrives evenly through the year, so on average halfway through rather than at the end. Every cash flow is then discounted for half a year less, which multiplies each present value by 1.10 to the power of one half, 1.0488.

    Why would cash arrive in the middle of the year?

    A shop does not collect its year's takings in one lump on the last day of March; money comes in every day. A DCF that discounts each year's cash flow as if it all arrived on the final day is too harsh. The mid-year convention treats each year's cash flow as arriving, on average, halfway through the year, so it is discounted for t minus one half years instead of t. For a business with steady receipts that is the more accurate assumption, and it is the default in many banks' models.

    Same cash, six months earlier: every discount factor improves by the same ratioTodayYear 1Year 2Year 3Year 4Year 5Year-end100x 0.90990.9100x 0.82682.6100x 0.75175.1100x 0.68368.3100x 0.62162.1Mid-year100x 0.95395.3100x 0.86786.7100x 0.78878.8100x 0.71671.6100x 0.65165.1each cash flow 6 months earlierYear-end total379.08Mid-year total397.58Uplift+18.50 = +4.88%square root of 1.10, less 1the same for every cash flow
    Moving each Rs 100 crore cash flow from the end of its year to the middle lifts its discount factor by the same ratio, so the five-year value rises from Rs 379.08 crore to Rs 397.58 crore, an uplift of 4.88%.
    The relationship
    ∑t=151001.10 t−0.5=1.100.5×∑t=151001.10 t=1.0488×379.08=397.58\sum_{t=1}^{5} \frac{100}{1.10^{\,t-0.5}} = 1.10^{0.5} \times \sum_{t=1}^{5} \frac{100}{1.10^{\,t}} = 1.0488 \times 379.08 = 397.58
    t - 0.5each year's cash treated as arriving at the middle of the year
    1.10^0.5the gain from discounting every cash flow for half a year less
    What it says in wordsShifting every cash flow six months earlier multiplies the whole value by the square root of one plus the discount rate.

    Why is the uplift exactly the square root of 1.10 minus one?

    Because the shift is the same for every cash flow. Moving a payment six months earlier multiplies its present value by 1.10 to the power of one half, whatever year it sits in. Since every cash flow gets the same uplift, the whole value rises by the same 4.88%, and neither the size nor the pattern of the cash flows changes that. Half the discount rate, 5%, is a fair first approximation to say out loud; at a 20% rate the exact uplift is 9.5%, against the 10% the approximation would give, so the shortcut weakens as rates rise.

    Where should you not apply it?

    Two cautions. A terminal valueThe value of all cash flows beyond the forecast years, usually from a growing perpetuity or an exit multiple. built on a perpetuity of flows is usually discounted on the same mid-year basis, but one built on an exit multiple is not, because a sale happens at a point in time, the end of the final year. Shifting an exit-multiple terminal value half a year earlier overstates the answer, and an interviewer who asks about the convention is often fishing for exactly that. For seasonal businesses that collect most cash late in the year, the convention itself flatters the value.

    Where candidates lose it

    The usual slip is to say the convention changes the cash flows, or that it only affects the first year. It changes timing only, and it moves every cash flow by the same six months, so the uplift applies to all of them.

    The second slip is applying it to a terminal value built on an exit multiple. A sale happens at a moment, so that value stays discounted for the full five years; candidates who shift it too overstate the value and get caught on the follow-up.

    What the interviewer asks next

    • If the discount rate were 20%, what would the convention add?
    • Should the mid-year convention apply to a terminal value built on an exit multiple?
    • For a business that bills most customers in its final quarter, is the convention still appropriate?

    Asked at Lazard, Investment Banking, New York, 2026 (Wall Street Oasis): Asked about SBC, LBOs, Advanced accounting questions and mid-year conventions

  2. 028A company's tax rate rises from 25% to 30%. Name three ways this moves a DCF and put numbers on each for a business with EBIT of Rs 200 crore, funded 30% by debt at 8% before tax and 70% by equity at 12%.DCF and cost of capitalHardGoldman SachsSan Francisco · 2025

    Try it first

    Which way does the valuation move overall?

    Show the worked solution

    The value falls, by about 4.8% here, because the cut to cash flow outweighs the cheaper debt. One: unlevered free cash flow falls, as NOPAT drops from Rs 150 crore to Rs 140 crore. Two: the after-tax cost of debt falls from 6.0% to 5.6%, taking the WACC from 10.20% to 10.08%. Three: the terminal value, which carries both effects, falls from about Rs 2,516 crore to Rs 2,395 crore at 4% growth.

    Why does a tax rate touch both the top and the bottom of the fraction?

    A landlord pays more tax on her rent, so the rent she keeps falls; but the interest on her mortgage is deductible, so the loan costs her a little less after tax. Two opposite effects from one change. A DCF is the same fraction: cash flow on top, discount rate below. A higher tax rate shrinks the cash flows directly and shrinks the WACC indirectly through the interest tax shield, and the first effect is almost always larger because it hits every rupee of operating profit while the second touches only the debt slice. Interviewers ask for three ways so that you show both sides and then say which wins.

    One tax rate, three doors into the DCF: the cash flow door is the wide oneTax rate25% to 30%1. Free cash flow, every yearNOPAT = EBIT x (1 - t): Rs 150 to Rs 140 croredown Rs 10 crore, 6.7%2. Cost of debt, then WACC8% x (1 - t): 6.0% to 5.6%WACC 10.20% to 10.08%, down 12 bp3. Terminal value, 4% growthNOPAT x 1.04 / (WACC - 4%): 2,516 to 2,395 croredown Rs 121 crore, 4.8%Terminal value change, Rs crore-168cash flow+46WACC-121net-4.8%cash flow effect alone,then the WACC reliefWhy the cash flow door is wider: tax hits every rupee of EBIT, while the WACC relief touches only the 30% debt slice.
    The tax rise cuts NOPAT from Rs 150 crore to Rs 140 crore, lowers the WACC from 10.20% to 10.08% through the cheaper after-tax debt, and takes the terminal value from Rs 2,516 crore to Rs 2,395 crore, because the cash flow effect of Rs -168 crore outweighs the WACC relief of Rs 46 crore.

    How big is each effect on these numbers?

    Cash flow. NOPAT is EBIT times one minus the tax rate: Rs 200 crore x 0.75 = Rs 150 crore before and Rs 200 crore x 0.70 = Rs 140 crore after, a fall of Rs 10 crore, or 6.7%, in every forecast year, treating depreciation, capex and working capital as cancelling out. Discount rate. The after-tax cost of debt is 8% x (1 - t): 6.0% before and 5.6% after. Weighted at 30% debt and 70% equity at 12%, the WACC moves from 10.20% to 10.08%, down 12 basis points. Terminal value. At 4% growth, a Gordon growthA terminal value that treats the final cash flow as growing at a constant rate forever: the next cash flow divided by the discount rate less the growth rate. terminal value is Rs 2,516 crore before and Rs 2,395 crore after. Separating the two, the cash flow cut alone takes Rs 168 crore off the terminal value and the lower WACC alone adds Rs 46 crore back, so the net is Rs 121 crore, 4.8% lower.

    LineTax 25%Tax 30%Change
    NOPAT, Rs crore150140-6.7%
    After-tax cost of debt6.0%5.6%-40 bp
    WACC10.20%10.08%-12 bp
    Terminal value at 4% growth, Rs crore2,5162,395-4.8%
    Illustrative inputs from the question: EBIT Rs 200 crore, 30% debt at 8%, 70% equity at 12%, long-run growth 4%.
    The relationship
    WACC=0.30×8% (1−t)+0.70×12%TV=EBIT (1−t) (1+g)WACC−gWACC = 0.30 \times 8\%\,(1-t) + 0.70 \times 12\% \qquad TV = \frac{EBIT\,(1-t)\,(1+g)}{WACC - g}
    (1 - t)the share of each rupee left after tax, 0.75 falling to 0.70
    0.30, 0.70the debt and equity weights
    gthe long-run growth rate, 4% here
    What it says in wordsThe tax rate enters the cash flow once and the discount rate once, and the cash flow effect is the larger of the two.

    Is there a subtler channel the interviewer might be after?

    Yes: the cost of equity. When you relever a beta, the formula carries a (1 - t) term, so a higher tax rate lowers the levered beta a little and the cost of equity with it. With debt to equity of 3 to 7 and a levered beta of 1.0 at 25%, the unlevered beta is 0.757, and relevering at 30% gives 0.984; with an assumed 6% risk-free rate and 6% equity risk premium, the cost of equity slips from 12% to 11.90% and the WACC to 10.01%. Even with that help the value is still about 3.7% lower, so the ranking of the effects does not change. Say the limitation too: the WACC relief assumes the company actually pays tax and keeps its interest deductible, and interest deductions are capped in many jurisdictions, a rule to confirm for the country in question.

    Where candidates lose it

    The common loss is naming only the cash flow effect, or naming the WACC effect and then concluding that value rises. Three ways means cash flow, the cost of debt inside the WACC, and the terminal value or cost of equity that carries them, and the net is down.

    The second loss is putting no numbers on it. The question hands you EBIT, weights and rates so that you can say Rs 150 to Rs 140 crore and 10.20% to 10.08% out loud; a candidate who stays qualitative has not answered.

    What the interviewer asks next

    • If the company had no debt at all, which of the three effects survive?
    • How would a large tax-loss carryforward change the answer?
    • Why might a biotech DCF, with years of losses ahead, be almost indifferent to this change?

    Asked at Goldman Sachs, Investment Banking, San Francisco, 2025 (Wall Street Oasis): Three ways in which the tax rate affects a DCF?

  3. 043Comparable companies have an unlevered beta of 0.8. Your target will run at a debt-to-equity ratio of 50% with a 25% tax rate. The risk-free rate is 7% and the equity risk premium 6%. What is the target's cost of equity?DCF and cost of capitalCoreMoelis & CompanyLos Angeles · 2026

    Try it first

    What cost of equity do you get?

    Show the worked solution

    About 13.6%. The peers' 0.8 is an unlevered beta, the risk of the business with no debt. The target carries debt equal to 50% of its equity, so relever it: 0.8 times (1 plus 75% times 0.5) is 1.1. CAPM then gives 7% plus 1.1 times 6%, which is 13.6%. Using the unlevered 0.8 directly would understate the cost at 11.8%.

    Why can you not use the peer beta as it is?

    Think of two people with the same job and salary, one with no loan and one with a large home loan. A pay cut hurts the borrower more, because the loan payment does not shrink. Debt magnifies the swings that reach shareholders, so the same business carries a higher equity beta the more it borrows. Peers' betas are first stripped of their own debt to give an unlevered betaThe beta a business would have with no debt: the risk of its operations alone., then relevered at the target's own mix of debt and equity.

    Relever the peer beta to the target's own debt, then apply CAPMPeer unlevered beta0.8Relever at D/E 50%x 1.375Target levered beta1.1CAPM: 7% + 1.1 x 6%13.6%1 + (1 - 25%) x 0.5 = 1.375Cost of equity under each slip, axis starts at 10%Unlevered beta used as is11.8%Debt over total capital13.0%Correct: D/E, after tax13.6%Tax shield ignored14.2%10%11%12%13%14%15%
    The peers' unlevered beta of 0.8 relevers to 1.1 at a 50% debt-to-equity ratio and a 25% tax rate, giving a cost of equity of 13.6%, while the three common slips give 11.8%, 13.0% and 14.2%.

    How does the relevering work?

    Use the standard formula, which assumes the debt itself carries no market risk. Levered beta equals unlevered beta times one plus (one minus the tax rate) times debt over equity: 0.8 times (1 + 0.75 x 0.5), which is 0.8 times 1.375, or 1.1. The tax term is there because interest is tax deductible, so the tax saving softens a quarter of the debt's burden on shareholders. Then CAPM: 7% plus 1.1 times 6% is 13.6%.

    The relationship
    βL=βU[1+(1−t)DE]=0.8×1.375=1.1ke=7%+1.1×6%=13.6%\beta_L = \beta_U\left[1 + (1-t)\frac{D}{E}\right] = 0.8 \times 1.375 = 1.1 \qquad k_e = 7\% + 1.1 \times 6\% = 13.6\%
    beta_Uthe peers' unlevered beta, 0.8
    tthe tax rate, 25%
    D/Ethe target's debt divided by its equity, 50%
    What it says in wordsAdd back the target's own debt to the business risk, then price that risk with CAPM.

    Which slips change the answer?

    Three, each worth naming. Skipping the relevering gives 11.8%, using debt over total capital instead of debt over equity gives 13.0%, and ignoring tax gives 14.2%. A spread of 2.4 points in the cost of equity moves a DCF a long way, so the interviewer wants to hear which ratio you are plugging in. State the limit too: the rates here are illustrations, and a live model takes the current government bond yield and the premium the bank uses.

    Where candidates lose it

    The fast loss is plugging 0.8 straight into CAPM. The peers' beta has been cleaned of debt, so using it unadjusted values the target as if it had none, and the cost of equity comes out too low.

    The quieter loss is the ratio. The formula takes debt over equity, 50%, not debt over total capital, one third. Say the ratio out loud before you multiply.

    What the interviewer asks next

    • The target's debt rises to 100% of equity. What is the cost of equity now?
    • What is the WACC if the target's debt costs 10% before tax?
    • Why do you unlever each peer before averaging, rather than averaging the levered betas?

    Asked at Moelis & Company, Investment Banking, Los Angeles, 2026 (Wall Street Oasis): high-level technical questions aimed at accounting (NWC) and valuation topics (EV, DCF, UFCF, Cost of Equity)

  4. 056A company is funded 60% by equity at a 14% cost and 40% by debt at 10% before tax, and the tax rate is 25%. What is its weighted average cost of capital?DCF and cost of capitalWarm upBulge bracket IBMiddle market IB

    Try it first

    Pick the WACC.

    Show the worked solution

    The WACC is 11.4%. Equity is 60% of the funding at 14%, contributing 8.4 points. Debt is 40% at 10% before tax, but interest is tax-deductible, so its after-tax cost is 10% x (1 minus 25%) = 7.5%, contributing 3.0 points. Add them: 8.4 + 3.0 = 11.4%. Leaving out the tax shield gives 12.4%.

    Why is it a weighted average and not a plain one?

    A family buying a flat with 60% from savings and 40% from a home loan pays a blended cost that leans towards the bigger source. Each source of money counts in proportion to how much of the funding it provides. Here equity provides 60 rupees in every 100, so its 14% carries more weight than debt's rate. A plain average of 14% and 10% would be 12.0%, which pretends the two sources are the same size.

    Weight each source by its share, and put debt in after tax60%40%FundingEquitycosts 14%Debt10% before taxx (1 - 25%) = 7.5%3.08.40.4 x 7.5% = 3.00.6 x 14% = 8.4Contribution, pointsWACC 11.4%the right answer12.4% if debtgoes in pre-tax
    Equity is 60% of funding at 14% and contributes 8.4 points; debt is 40% at 7.5% after tax and contributes 3.0 points, so the WACC is 11.4%. Using the 10% pre-tax rate adds a wrong extra point and gives 12.4%.

    Why does debt go in after tax?

    Interest is deducted before profit is taxed, so every 10 rupees of interest cuts the tax bill by 2.50 rupees at a 25% rate. The tax saved pays a quarter of the interest, so the company's true cost of debt is 7.5%, not 10%. That saving is the tax shieldThe tax a company avoids because interest is deducted from profit before tax is worked out.. Equity has no such shield, because dividends are paid out of profit after tax, which is why the adjustment sits on the debt term only.

    The relationship
    WACC=EV re+DV rd(1−t)=0.6(14%)+0.4(10%)(0.75)=11.4%\text{WACC} = \tfrac{E}{V}\,r_e + \tfrac{D}{V}\,r_d(1-t) = 0.6(14\%) + 0.4(10\%)(0.75) = 11.4\%
    E/Vequity's share of total funding, 60%
    D/Vdebt's share of total funding, 40%
    r_ecost of equity, 14%
    r_dpre-tax cost of debt, 10%
    ttax rate, 25%
    What it says in wordsWeight each source's cost by its share of the funding, and cut the cost of debt by the tax it saves.

    One more sentence wins the point. The weights should be market values, not the book values on the balance sheet, because investors demand a return on what their stake is worth today. Then say what the number is for: 11.4% is the rate at which you would discount the company's unlevered free cash flows in a DCF.

    Where candidates lose it

    The usual miss is forgetting the tax shield and answering 12.4%. It is the most common one-point error in a first-round cost of capital question, and interviewers ask it because it is so easy to skip.

    The second is applying the tax adjustment to equity as well, or to the whole WACC. The shield belongs to interest alone, so say which term it sits on.

    What the interviewer asks next

    • The company moves to 60% debt at the same rates. What happens to WACC, and why would the rates not stay the same?
    • Why is the cost of equity higher than the cost of debt?
    • If the company makes losses and pays no tax, what is its WACC?
  5. 071Final-year free cash flow is Rs 100 crore, long-run growth is 4% and WACC is 10%. By what percentage does the terminal value fall if WACC rises to 11%?DCF and cost of capitalCoreBulge bracket IBMiddle market IB

    Try it first

    Before you compute: how much does the terminal value fall?

    Show the worked solution

    It falls by about 14.3%, one seventh. Terminal value is next year's cash flow over the spread between WACC and growth. At 10% the spread is 6 points, so the value is Rs 104 crore over 0.06, about Rs 1,733 crore. At 11% the spread is 7 points, giving Rs 1,486 crore. The new value is 6 over 7 of the old, a fall of 14.3%. The spread, not the WACC, is what the value is sensitive to.

    Why does a one point move in WACC cost a seventh of the value?

    Think of a shop whose rent is Rs 10 a month and whose takings are Rs 16: the owner keeps Rs 6. If rent goes up by one rupee the owner's margin shrinks by a sixth, far more than the rent went up in percentage terms. The terminal value divides by the gap between WACC and growth, and when that gap is thin, a small move in either rate is a large move in the gap. Here the gap goes from 6 points to 7, so the value falls to six sevenths of itself.

    One point of WACC on a six point spread: the terminal value loses a seventh8%9%10%11%12%1,5002,0002,500WACC, with growth fixed at 4%Terminal value, Rs crore10%: Rs 1,733 crore11%: Rs 1,486 crore-14.3%TV = 104 / (WACC - 4%)spread 6 points becomes 7 pointsnew / old = 6 / 7, a fall of 14.3%
    With growth fixed at 4%, the terminal value of Rs 100 crore of final-year cash flow falls from Rs 1,733 crore at a 10% WACC to Rs 1,486 crore at 11%, a drop of 14.3%, because the spread in the denominator grows from 6 points to 7.

    What is the shortcut, and when does it break?

    You do not need either terminal value to answer. The ratio of new to old value is the ratio of the old spread to the new spread, 6 over 7, so the percentage change is the spread change divided by the new spread. The same shortcut runs the other way: a fall in WACC to 9% narrows the spread to 5 points, and the value rises by 6 over 5 minus 1, 20%. Notice the asymmetry. A one point fall lifts value 20% while a one point rise cuts it 14.3%, which is why DCF sensitivity tables look lopsided.

    The relationship
    TV=FCF×(1+g)WACC−gTV11%TV10%=0.10−0.040.11−0.04=67⇒−14.3%TV = \frac{FCF \times (1+g)}{WACC - g} \qquad \frac{TV_{11\%}}{TV_{10\%}} = \frac{0.10 - 0.04}{0.11 - 0.04} = \frac{6}{7} \Rightarrow -14.3\%
    FCFfinal-year free cash flow, Rs 100 crore
    glong-run growth, 4%
    WACCthe discount rate, 10% rising to 11%
    What it says in wordsThe cash flow cancels; the terminal value changes by the ratio of the old spread to the new spread.
    WACCSpread over 4% growthTerminal value, Rs croreChange from the 10% case
    8%4 points2,600+50.0%
    9%5 points2,080+20.0%
    10%6 points1,733+0.0%
    11%7 points1,486-14.3%
    12%8 points1,300-25.0%
    Each one point step in WACC moves the terminal value by a different percentage, larger on the way down in WACC than on the way up, because the value is a cash flow divided by a thin and changing spread.

    Why does this matter beyond the arithmetic?

    The terminal value is usually most of a DCF, often two thirds or more of the enterprise value. If a one point move in WACC moves the terminal value by a seventh, the whole valuation is a judgement about two inputs that nobody knows to within a point. That is why a banker shows a sensitivity table rather than a single number, and why a growth assumption of 4% against a WACC of 10% should be cross-checked against the implied exit multiple before anyone trusts it.

    Where candidates lose it

    The common loss is answering 10%, from the WACC moving from 10 to 11, or 1%, from the one point move itself. Both forget that the value divides by the spread, not by the WACC.

    The other loss is computing both terminal values with the Rs 104 crore numerator and losing a minute. Say the spreads, 6 and 7, and the answer is one division.

    What the interviewer asks next

    • What happens to the terminal value if growth rises from 4% to 5% with WACC fixed at 10%?
    • What exit EV/EBITDA multiple does a Rs 1,733 crore terminal value imply if final-year EBITDA is Rs 150 crore?
    • Why would a WACC of 10% with 4% growth be hard to defend for a mature company?
  6. 085A software company's free cash flow is Rs 130 crore if Rs 30 crore of stock-based compensation is added back as a non-cash charge, and Rs 100 crore if it is treated as a cash cost. With a WACC of 10% and perpetual growth of 3%, how far apart are the two perpetuity values, and which treatment is right?DCF and cost of capitalHardLazardNew York · 2026

    Try it first

    Which treatment gives the right value for today's shareholders?

    Show the worked solution

    About Rs 441 crore apart: Rs 1,913 crore with the add-back against Rs 1,471 crore without, a 30% gap. Treat the compensation as a real cost. It is paid in shares rather than cash, but existing holders bear it through dilution. Either deduct it from cash flow and use today's diluted share count, or add it back and count every future share it will create. Adding it back and ignoring the dilution counts the cost as zero.

    If no cash leaves, why is stock compensation a cost?

    Imagine a family business that pays its manager not in salary but by handing over a slice of the shop every year. No cash leaves the till, but each year the family owns less of the shop. Stock compensation is a real expense paid in ownership instead of money, and today's shareholders pay it through dilution. If the company had paid staff Rs 30 crore in cash, everyone would deduct it. Paying in shares changes who bears the cost, not whether there is one.

    The two values follow from the perpetuity formula. With the add-back, 130 x 1.03 / (10% - 3%) is about Rs 1,913 crore. Treated as a cost, 100 x 1.03 / 7% is about Rs 1,471 crore. The gap, about Rs 441 crore, is exactly the present value of paying Rs 30 crore a year, growing at 3%, in shares.

    The gap is the value of the shares you are quietly giving away1,913SBC added back1,471SBC as a cost-441gap = 30 x 1.03 / 7% = 44130% of the lower valueConsistentDeduct SBC as a cost, usetoday's diluted share countConsistentAdd SBC back, then count everyfuture share it will issueWrongAdd SBC back and ignore thedilution: counts the cost as zeroValues are perpetuities, Rs crore: next year's cash flow over (10% - 3%).
    Adding back Rs 30 crore of stock compensation lifts the perpetuity value from Rs 1,471 crore to Rs 1,913 crore, and the Rs 441 crore gap is the present value of the shares handed to staff, so it must be deducted or counted as dilution.

    Can the add-back version ever be right?

    Yes, if you finish the job. Add the Rs 30 crore back, value the firm at Rs 1,913 crore, then recognise that the company will issue Rs 30 crore of new shares every year, growing at 3%, forever. Those future holders own a stream worth Rs 441 crore of the total, leaving Rs 1,471 crore for today's shareholders. Both consistent methods land on the same value for existing holders; the error is adding back the expense and then dividing by today's share count, which counts the cost nowhere. In practice, deducting it is simpler, because projecting every future grant into the share count is hard.

    The relationship
    Vadd−Vded=SBC×(1+g)r−g=30×1.030.07≈441V_{\text{add}} - V_{\text{ded}} = \frac{\text{SBC} \times (1+g)}{r - g} = \frac{30 \times 1.03}{0.07} \approx 441
    SBCstock-based compensation, Rs 30 crore a year
    rWACC, 10%
    gperpetual growth, 3%
    What it says in wordsThe difference between the two values is the present value of paying staff in shares forever.

    One honest limitation: existing options and restricted shares already granted are a separate matter, counted in today's diluted share count by the treasury method. The question here is future grants, which the cash flow treatment decides.

    Where candidates lose it

    The standard slip is saying stock compensation is non-cash, so it is added back like depreciation, and stopping there. Depreciation is the echo of cash already spent; stock compensation is a cost paid now, in a different currency.

    The second loss is saying deduct it without being able to explain why the add-back can be made consistent. Name both consistent routes and the one wrong one: that is the answer an associate-level interviewer is looking for.

    What the interviewer asks next

    • How do already-granted options enter the valuation?
    • If the company buys back shares each year to offset dilution, how does that change the cash flow treatment?
    • Why do many sell-side models still add stock compensation back?

    Asked at Lazard, Investment Banking, New York, 2026 (Wall Street Oasis): SBC treatment in DCF

  7. 099A company with a 10% WACC and an equity beta of 1.0 is considering an all-equity project in a riskier business, where pure-play peers have an asset beta of 1.5. The risk-free rate is 7% and the equity risk premium is 5%. What discount rate should the project use?DCF and cost of capitalCoreBulge bracket IBMiddle market IB

    Try it first

    Which rate belongs in the project's DCF?

    Show the worked solution

    14.5%, from the project's own beta, not the company's 10% WACC. The project is all-equity, so its discount rate is its cost of equity at the peers' asset beta: 7% + 1.5 x 5% = 14.5%. Using 10% would accept projects that cannot earn their own risk. A project returning 12% looks like a winner at 10% but destroys value at 14.5%.

    Why is the company's own WACC the wrong rate?

    A bank with a low cost of funds still charges a risky borrower a high interest rate, because the rate should reflect the loan, not the bank. Projects work the same way. The discount rate is the return investors demand for the risk of these particular cash flows, so it belongs to the project, not to the company that happens to own it. The company's 10% WACC is the right rate for a project as risky as the company's average business, and this one is riskier.

    Where does the risk come from? Pure-play peers, companies that do only this riskier business, have an asset betaThe beta of a business with its debt stripped out: how much its operating cash flows move with the market, regardless of how it is financed. of 1.5. Because the project is all-equity, its equity beta equals that asset beta. Plug it into CAPM: 7% + 1.5 x 5% = 14.5%. For comparison, the parent's own cost of equity at a beta of 1.0 is 12%, and its WACC is lower still because it blends in cheaper debt.

    Discount the project at its own risk, not its owner'sCompany WACCthe wrong hurdle10.0%Company cost of equity7% + 1.0 x 5%12.0%Project rate, asset beta 1.57% + 1.5 x 5%14.5%project earns 12%At 10%: 12 / 0.10 = 120NPV +20: looks like a winnerWrong rate, wrong decisionAt 14.5%: 12 / 0.145 = 82.8NPV -17.2: destroys valueCost 100, pays 12 a year forever
    The project's own rate is 14.5% from an asset beta of 1.5, against the company's 10% WACC, so a project earning 12% shows an NPV of +20 at the wrong rate and -17.2 at the right one.

    What does the wrong rate cost in practice?

    The relationship
    rproject=rf+βasset×ERP=7%+1.5×5%=14.5%r_{\text{project}} = r_f + \beta_{\text{asset}} \times \text{ERP} = 7\% + 1.5 \times 5\% = 14.5\%
    r_frisk-free rate, 7%
    beta_assetthe pure-play peers' asset beta, 1.5
    ERPequity risk premium, 5%
    What it says in wordsAn all-equity project's rate is the risk-free rate plus its own beta times the market premium.

    Take a project costing 100 that pays 12 a year forever, an IRR of 12%. At 10% it is worth 120, an NPV of +20. At 14.5% it is worth 82.8, an NPV of -17.2. A company that discounts everything at its own WACC systematically accepts risky projects that destroy value and rejects safe ones that would create it. The limitation: peer betas are estimated with error, so use several peers and a median, and if the project were part-funded with debt you would relever the asset beta for that financing.

    Where candidates lose it

    The standard slip is answering 10% because the question opens with the company's WACC. That number is there as bait: the interviewer wants to hear that the discount rate follows the risk of the cash flows.

    The second loss is relevering the 1.5 with the parent's debt when the question says the project is all-equity. Read the financing assumption before adjusting the beta.

    What the interviewer asks next

    • If the project were funded 30% with debt at 9% pre-tax and a 25% tax rate, what rate would you use?
    • How would you find the asset beta if the peers carry debt?
    • Why might a conglomerate's divisions argue for a single company-wide hurdle rate, and what goes wrong?
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