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032

Case 032Valuing listed securities: IPOs, DCF and REITsHard

A two-wheeler maker's DCF gives Rs 15,900 crore but the market cap is Rs 22,000 crore. What growth is the market implying, and is it plausible?

SCSchrodersLondon · 2024

1The situation

Dwichakra Motors makes motorcycles and scooters. It generated free cash flow of Rs 900 crore this year and has no net debt, so its equity value and enterprise value are the same. Your analyst's DCF uses a 12% cost of capital and 6% perpetual growth, which gives Rs 15,900 crore. The market capitalisation is Rs 22,000 crore.

The analyst concludes the stock is 38% overvalued. Your portfolio manager asks you to turn the question around before anyone acts on that.

2Your task

What growth rate does the market price imply, how else could the price be read, and is the implied growth plausible for this business?

Quick check

Holding the 12% cost of capital, what perpetual growth makes the DCF equal Rs 22,000 crore?

Worked solution

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

30-second answerThe answer to give first

The price implies perpetual growth of about 7.6% at a 12% cost of capital, only 1.6 points above the analyst's 6%. Read as a fast phase then 6% forever, it needs about 10.3% a year for ten years. That is plausible for a two-wheeler maker in a growing economy but leaves no margin for error, so the useful conclusion is not overvalued but priced for a decade of steady growth, which the EV transition could disturb.

Step 1What does a reverse DCF actually do?

When a house sells for more than your estimate, you can either call the buyer foolish or ask what they must believe about the area. A reverse DCF takes the price as given and solves for the assumption that justifies it, so the argument moves from a valuation gap to a growth rate you can test. Here the Gordon formula, value equals next year's cash flow over cost of capital less growth, gives 900 x 1.06 / 0.06 = Rs 15,900 crore. Setting it to Rs 22,000 crore and solving gives g = 7.60%.

Reverse DCF: where the price crosses the value curve10,00020,00030,0004%5%6%7%8%9%Perpetual growth in free cash flowMarket cap Rs 22,000 croreYour DCF: 6% growthRs 15,900 crorePrice implies 7.6% foreverEach extra point of growth adds more value than the last,because g is approaching the 12% cost of capital
At a 12% cost of capital Dwichakra is worth Rs 15,900 crore at 6% growth and Rs 24,300 crore at 8%, and the Rs 22,000 crore market cap crosses the value curve at about 7.6%, so a 38% price gap is only a 1.6 point disagreement about growth.

The curve is the lesson: value rises faster and faster as growth approaches the cost of capital, so a large price gap often hides a small disagreement. Saying the stock is 38% overvalued sounds decisive; saying the market expects 7.6% growth instead of 6% invites the right question, which is whether 1.6 extra points are reasonable.

Step 2Could the price mean something other than higher growth?

Yes, and say so. The same price is consistent with 6% growth and a lower cost of capital: at 11%, the DCF gives Rs 19,080 crore, and the implied growth falls to 6.6%. A reverse DCF solves for one unknown at a time, so state which one you held fixed. A perpetual rate is also hard to reason about, so translate it into a fast phase followed by 6% forever.

The same price, read as a fast phase then 6% foreverBase DCF: 6% from year 16.0% a year5 fast years, then 6%13.9% a year10 fast years, then 6%10.3% a year15 fast years, then 6%9.2% a yearFast-phase growth in free cash flow that justifies Rs 22,000 crore at 12%
To justify Rs 22,000 crore with 6% growth after a fast phase, free cash flow must grow about 13.9% a year for five years, 10.3% for ten or 9.2% for fifteen, which turns an abstract perpetual rate into a decade-long claim you can check.
Step 3Is about 10% a year for a decade plausible?

Break it into parts you can argue about. Nominal growth in free cash flow comes from volumes, price and mix, and margin. If the industry's volumes grow at a mid-single-digit rate and prices rise with inflation, a well-run maker could compound revenue near 10% without gaining share. So the price is not absurd; it assumes Dwichakra holds its share and margins for ten years. The risk to that assumption is specific: the shift to electric two-wheelers brings new competitors, new capex and possibly thinner margins in the transition.

The closing view: the analyst's 6% is too cautious to call the stock 38% overvalued with confidence, and the market's implied growth is demanding but defensible. What would decide it is evidence on electric share: if Dwichakra's electric models are winning share at healthy margins, the market's number looks fair; if start-ups are taking the growth, 6% may prove generous.

Where candidates lose it

The common loss is defending the analyst's 6% and calling the stock overvalued without asking what the price assumes. Interviewers set up the gap precisely to see whether you can invert the model.

The second miss is forgetting that free cash flow of Rs 900 crore is this year's figure. The Gordon formula needs next year's, Rs 954 crore; using 900 gives Rs 15,000 crore and an implied growth that is slightly off.

What the interviewer asks next

  • What reinvestment rate and return on capital would 7.6% perpetual growth require?
  • Run the reverse DCF on an EV/EBITDA multiple instead. What does the market multiple imply?
  • Which single piece of company data would most change your view on the implied growth?

Asked at Schroders, Investment Management, London, 2024 (Wall Street Oasis): I was asked to do a stock pitch as well as equity valuation questions

← Case 031A credit fund holds NCDs in three real estate projects with different loan-to-value, interest cover and unsold inventory. Rates have risen 100 basis points. Rank the three exposures and say which you would cut.Case 033 →A registrar outage delays 1.8 lakh SIP instalments by one business day while the market rises 1.2%. Which NAV should investors get, what does making them whole cost, and who pays?

Company names and figures are illustrative.

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