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047

Case 047Comps and relative valueCore

Case study presentation: four valuation methods give four different ranges for a hotel company. Build the football field and present a view on value.

Rothschild & CoParis · 2025

1The situation

Mahiraj Hotels runs a chain of business hotels and earns EBITDA of Rs 150 crore. Its board is considering a sale and has asked for a view on value. Your team's work gives four ranges for enterprise value: a DCF of Rs 1,800 to 2,200 crore; trading comparables at 11x to 13x EBITDA, Rs 1,650 to 1,950 crore; precedent transactions at 14x to 16x, Rs 2,100 to 2,400 crore; and the 52-week trading range of the shares, which implies Rs 1,500 to 1,900 crore.

You have fifteen minutes with the board and one page.

2Your task

Present the football field and give the board a range you would stand behind for a sale, with the reason you chose it.

Quick check

Why do the precedent transactions sit above the trading comparables?

Worked solution

Try it on paper, then open one step at a time.

30-second answerThe answer to give first

For a sale, the range to stand behind is Rs 1,950 to 2,250 crore, 13x to 15x EBITDA, with a midpoint of Rs 2,100 crore. It sits inside the DCF, above the trading comps because a buyer pays for control, and at the bottom of the precedents because Mahiraj's growth does not justify the top of past deals. The 52-week range is where the shares have traded, not what a buyer pays, and it is the floor the board should not accept.

Step 1What question does each bar on the football field answer?

When you sell a flat you look at three numbers: what similar flats are listed at, what similar flats actually sold for, and what the rent would justify. They differ, and each is right about something. A football field puts four methods on one scale so the board can see that they answer different questions: the DCF says what the plan is worth, trading comps say what the market pays for a minority stake today, precedents say what buyers have paid for whole companies, and the 52-week range says where the shares have been. Mahiraj's four ranges do not overlap at any single value: the highest low is Rs 2,100 crore and the lowest high is Rs 1,900 crore. That is normal, and the presentation is about explaining why rather than hiding it.

MethodEV low, Rs croreEV highMultiple of 150What it tells the board
DCF1,8002,20012.0x to 14.7xintrinsic, on the plan
Trading comps 11x to 13x1,6501,95011.0x to 13.0xlisted peers, no control
Precedents 14x to 16x2,1002,40014.0x to 16.0xpaid deals, with control
52-week range1,5001,90010.0x to 12.7xwhat the market has paid
View for a sale1,9502,25013.0x to 15.0xinside DCF, above comps, bottom of precedents
Mahiraj's four methods span Rs 1,500 to 2,400 crore, 10x to 16x EBITDA; the chosen sale range of Rs 1,950 to 2,250 crore is narrower than any single method because it uses each one for what it is good at.
Mahiraj Hotels: four answers to four questions, and the range chosen for a sale, Rs croreDCFintrinsic, on the plan1,8002,20012.0x to 14.7xTrading comps 11x to 13xlisted peers, no control1,6501,95011.0x to 13.0xPrecedents 14x to 16xpaid deals, with control2,1002,40014.0x to 16.0x52-week rangewhat the market has paid1,5001,90010.0x to 12.7x1,5001,7502,0002,2502,500View for a sale: Rs 1,950 to 2,250 crore, 13x to 15xTrading comps lack a control premium; precedents include one. The sale view sits between them, inside the DCF.
Mahiraj's DCF, trading comps, precedents and 52-week range each give a different band, and the chosen sale range of Rs 1,950 to 2,250 crore sits inside the DCF, above the trading comps and at the bottom of the precedents.
Step 2Why choose Rs 1,950 to 2,250 crore rather than the overlap or the average?

Start from the purpose. The board is selling control, so the trading comps and the 52-week range are floors, not answers; a buyer will pay more than a minority share price, and the precedents at 14x to 16x show by how much. But the top of the precedents was paid for hotel chains growing faster than Mahiraj or by buyers with large cost synergies, so 16x is not Mahiraj's number. The DCF, which captures the plan, brackets 12x to 14.7x. Put together: a buyer with control should pay at least the bottom of the precedents, 14x, and a disciplined view sits 13x to 15x. The control premiumThe extra amount a buyer pays over the market price of a share to acquire the whole company and the right to run it; it reflects control itself and expected synergies. is the reason the chosen range is above the trading comps, and the lack of a strong growth story is the reason it is below the top of the precedents.

Say what you would not do. Averaging the four ranges gives about Rs 1,900 crore, which is below every precedent and treats the share price as if it were a bid. Taking the overlap gives nothing, because there is none. A football field is not a calculator; it is an argument laid out on one axis, and the chosen band is where the argument lands.

Step 3How do you present it in fifteen minutes?

One page, three moves. First the picture, with the chosen band drawn on it, so the board sees where you stand before you explain anything. Second, one sentence per bar on what it answers and why it sits where it does. Third, the number: Rs 1,950 to 2,250 crore, midpoint Rs 2,100 crore, and what would move it. What moves it up: a strategic buyer with overlapping hotels who can cut head office cost. What moves it down: a sponsor buyer who prices on leverage and will not pay for synergies it cannot create. The limit: every bar is enterprise value, and the board cares about equity value per share, so the bridge through net debt, leases and minority interests must be on the second page even if nobody asks.

Where candidates lose it

The common loss is averaging the four ranges, or looking for the overlap. The methods answer different questions and are not four estimates of the same thing; averaging a minority share price with a control price makes no sense to a board selling control.

The second is anchoring on the 52-week range. The board will have members who remember the share price high; the presentation must say plainly that the trading range is where the shares have been, not what a buyer of the whole company pays.

What the interviewer asks next

  • How would you adjust the precedent range if the comparable deals happened when interest rates were two points lower?
  • If the DCF range were Rs 2,300 to 2,700 crore, what would you say about the plan?
  • What would the football field look like for a buy-side client, and which bar would lead?

Asked at Rothschild & Co, Generalist, Paris, 2025 (Wall Street Oasis): Case study with company presentation and valuation Two rounds, had to make a presentation

← Case 046A city spends Rs 600 crore a year more than it collects and wants to issue municipal bonds. How would you close the gap, and how much could it borrow once it has?Case 048 →A property company offers to swap notes due in a year for fewer, longer, second lien notes, conditional on 90% taking it. Value the offer to a holder who exchanges and to one who holds out, and explain the holdout problem.

Company names and figures are illustrative.

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