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079

Case 079DCF and intrinsic valueHard

Value an EV charging network that loses money until year four. In one scenario it scales to Rs 600 crore of free cash flow; otherwise it is sold cheaply. How do you build one value?

1The situation

Zephyrine EV Charging runs a network of fast chargers on highways and in city car parks. It holds Rs 450 crore of cash and burns money for three more years: free cash flow of minus Rs 200 crore, minus Rs 150 crore and minus Rs 60 crore.

Management's case, which you think has a 40% chance, is that utilisation climbs as electric car numbers grow: free cash flow of Rs 80, 220, 360 and 480 crore in years four to seven and Rs 600 crore in year eight, growing 5% a year after that. If utilisation stalls, which you give 60%, the network is sold to an oil marketing company for Rs 200 crore at the end of year three, after the same three years of burn. Use a 14% discount rate.

2Your task

What is Zephyrine's equity worth today, and why is weighting two scenarios better than forcing one forecast?

Quick check

Management's scale case alone is worth about Rs 3,300 crore of equity. What does weighting the scenarios do?

Worked solution

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

30-second answerThe answer to give first

About Rs 1,472 crore of equity. In the scale case the network is worth Rs 3,300 crore including its cash; in the fail case, three years of burn and a Rs 200 crore sale leave Rs 254 crore. Weighting 40% and 60% gives Rs 1,472 crore. One forecast would force a choice between a value that is too high most of the time and one that is too low when the business works.

Step 1Why not just forecast one path and discount it?

Because for a young business the outcomes are not spread around a middle; they split. A student deciding whether to join a start-up does not imagine a medium outcome; they picture it working and it folding, and weigh the two. For early companies, weight the scenarios rather than force one forecast, because no single path is the likely one. Zephyrine either reaches the utilisation that makes chargers profitable or it does not. A middle path, half the scale cash flows, describes a company that almost never exists.

Step 2What is each branch worth?

Value each path on its own, at the same 14% rate. In the scale branch, the eight years of cash flow are worth Rs 396 crore today and the terminal valueThe value at the end of the forecast of all cash flows after it, here year 9 onward growing 5% a year, worth 600 x 1.05 / (0.14 - 0.05) at year 8. adds Rs 2,454 crore, so with Rs 450 crore of cash the equity is Rs 3,300 crore. In the fail branch the same burn plus a Rs 200 crore sale in year three is worth minus Rs 196 crore, so the cash leaves Rs 254 crore. Almost the whole scale value sits in the terminal value, which is typical of a business still losing money.

The two paths are identical for three years, then split-2002004006000-200Y1-150Y2-60Y3+80Y4+220Y5+360Y6+480Y7+600Y8sale 200Fail path ends here:the network is sold in year 3 for Rs 200 croreScale path: worth Rs 7,000 crore at year 8, beyond the chartFree cash flow, Rs crore, by year
Zephyrine's two scenarios burn the same Rs 410 crore over three years, then split: the scale path climbs to Rs 600 crore of free cash flow by year 8 and is worth Rs 7,000 crore at that point, while the fail path ends with a Rs 200 crore sale in year 3.
Weight the outcomes, then add them: two branches, one valueZephyrine todayRs 450 crore cashlosses to year 340%ScaleFCF climbs to Rs 600 crore by year 8then grows 5% a yearRs 3,30060%Failburns Rs 410 crore over three yearsthen sold for Rs 200 croreRs 254Weighted equityRs 1,4720.4 x 3,300+ 0.6 x 254Equity value today, Rs crore, discounted at 14%; each branch includes the Rs 450 crore of cash now on the balance sheet
Weighting Zephyrine's scale branch of Rs 3,300 crore at 40% and its fail branch of Rs 254 crore at 60% gives an equity value of Rs 1,472 crore today.
The relationship
V=0.4×3,300+0.6×254≈1,472V = 0.4 \times 3{,}300 + 0.6 \times 254 \approx 1{,}472
0.4, 0.6the probabilities you assign to scale and fail
3,300equity value in the scale branch, Rs crore
254equity value in the fail branch, Rs crore
What it says in wordsThe value today is the probability-weighted average of what the equity is worth in each outcome.
Step 3Why not raise the discount rate to 25% and use the scale case?

That is the common shortcut. Here it gives about Rs 1,092 crore, below the weighted Rs 1,472 crore, and nothing in the method tells you which of the two is right. A higher rate hides the failure probability inside a number nobody can check, and it punishes the far years most, which is where a scale business earns everything. If you believed the scale odds were 60% instead of 40%, the tree tells you the value moves to Rs 2,082 crore; a 25% rate gives you no way to say which belief it contains. Keep the risk in the probabilities and the time value in the rate.

Close with what would move the weights. Utilisation per charger, the share of chargers above breakeven, and the price per unit of power against the grid tariff are the three numbers to watch. A quarter of rising utilisation on the older sites is evidence for the scale branch; stalling utilisation while new sites open is evidence for the other.

Where candidates lose it

The usual loss is presenting management's scale case, discounted at a normal rate, as the value. It is the value only if failure is impossible, and at 40% odds it overstates the equity more than twofold.

The other miss is forgetting the cash. Both branches start with Rs 450 crore in the bank, which funds the burn; leaving it out makes the fail branch look like a total loss and the weighted value too low.

What the interviewer asks next

  • At what probability of scale does the equity equal the Rs 450 crore of cash?
  • The fail-case buyer offers Rs 400 crore instead. How much does the value change, and why so little?
  • How would a third scenario, slow scale by year 12, change the tree?
← Case 078Build next year's revenue for a quick commerce company growing from 400 to 700 dark stores, where each new store takes six months to reach 1,500 orders a day.Case 080 →A cement company looks cheap on P/E against its peers but trades in line with them on EV/EBITDA, and it carries net debt of three times EBITDA. Which multiple should you trust, and why?

Company names and figures are illustrative.

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