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059

Case 059Operating cases and estimationWarm up

An electric vehicle charger costs Rs 12 lakh to install. How long does it take to pay back, and how many sessions a day would halve that?

1The situation

Urjit Charge installs fast chargers at highway restaurants. One charger costs Rs 12 lakh, installed. It averages 8 charging sessions a day, each delivering 25 kWh, and Urjit earns a margin of Rs 6 per kWh after paying for the electricity. Rent, maintenance and the network connection cost Rs 2 lakh a year per charger.

Ignore tax, financing and the time value of money for the first answer.

2Your task

What is the simple payback period on one charger, and how many sessions a day would halve it?

Quick check

Which adds more cash a year: two more sessions a day, or Re 1 more margin per kWh?

Worked solution

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

30-second answerThe answer to give first

Payback is about 5.0 years, and about 12.3 sessions a day would halve it. Eight sessions of 25 kWh at Rs 6 earn Rs 4.38 lakh a year; less Rs 2 lakh of running cost leaves Rs 2.38 lakh, and Rs 12 lakh divided by that is 5.04 years. Halving payback needs Rs 4.76 lakh a year, which takes 12.3 sessions, 54% more, because the fixed cost does not grow with use.

Step 1How do you set up the payback on one charger?

Think of an auto-rickshaw bought for Rs 3 lakh. The driver asks how many trips a day he needs to earn the money back after fuel and the monthly permit fee. A charger is the same question. Payback is the upfront cost divided by the cash each year brings in after running costs. Work per day, then per year: 8 sessions x 25 kWh is 200 kWh a day; at Rs 6 that is Rs 1,200 a day, or Rs 4.38 lakh a year. Take off Rs 2 lakh of fixed running cost and Rs 2.38 lakh is left.

Divide: Rs 12 lakh over Rs 2.38 lakh a year is 5.04 years. Each extra daily session is worth Rs 0.5475 lakh a year, about Rs 55,000, which is the number to carry in your head for every follow-up.

One charger's cumulative cash, Rs lakh: sessions a day set the slope-20-101020300012345678Years after installation12.3 sessions a day8 sessions a day4 sessions a dayPayback 5.04 years2.52 yearsRs 12 lakh spent on day one
Starting at minus Rs 12 lakh, a charger running 8 sessions a day earns Rs 2.38 lakh a year and pays back in 5.04 years, one running 12.3 sessions pays back in 2.52 years, and one running 4 sessions is still deep in the red after eight years.
Step 2How many sessions a day would halve the payback?

Half of 5.04 years is 2.52 years, so the charger needs to bring in twice the net cash, Rs 4.76 lakh a year. Add back the Rs 2 lakh fixed cost and gross margin must be Rs 6.76 lakh. Divide by Rs 0.5475 lakh per session and the answer is 12.35 sessions a day, about 54% more than today, not double. The running cost is fixed, so each extra session goes entirely to net cash.

The relationship
s∗=2×(gross−fixed)+fixedcash per session=2×2.38+2.000.5475=12.35s^* = \frac{2 \times (\text{gross} - \text{fixed}) + \text{fixed}}{\text{cash per session}} = \frac{2 \times 2.38 + 2.00}{0.5475} = 12.35
grossRs 4.38 lakh a year of margin at 8 sessions
fixedRs 2 lakh a year of rent, maintenance and network cost
cash per session25 kWh x Rs 6 x 365 days, Rs 0.5475 lakh a year
What it says in wordsDouble the net cash, add the fixed cost back, and divide by what one extra daily session earns in a year.
Step 3Why is this a bet on utilisation rather than on margin?

Both enter the same way: margin per kWh times kWh sold. The difference is how far each can move. Margin is pinned by power tariffs and nearby rivals, while sessions can swing from 4 to 16 a day depending on the site, the traffic and how many electric cars pass by. At a 60 kW charger, 200 kWh a day is about 3.3 hours of charging, only 14% of the day, so there is room above and a long way to fall.

Payback is a curve, not a line: it explodes as sessions fall4 sessions a day63 years, off the chart6 sessions a day9.3 years8 sessions a day5.0 years10 sessions a day3.5 years12.3 sessions a day2.5 years16 sessions a day1.8 yearsBreak-even on running cost alone: 3.65 sessions a day
Payback falls from 63 years at 4 sessions a day to 5.0 years at 8 and 1.8 years at 16, and below 3.65 sessions a day the charger never covers its running cost, so small changes in utilisation at the bottom matter most.

That is why charging networks argue about site selection more than pricing. A charger at 4 sessions a day nets only Rs 0.19 lakh a year and takes 63 years to pay back, longer than it will last. Close by saying what you would test before building: traffic counts at the site, the local share of electric cars, and the session count at Urjit's comparable chargers in their second year. Then add the limit: this ignores tax, financing and the fall in charger prices, all of which a full model would include.

Where candidates lose it

Most candidates double the sessions to halve the payback and answer 16. Because Rs 2 lakh of running cost does not grow with use, net cash rises faster than sessions, and 12.3 is enough.

The second slip is forgetting the running cost altogether: Rs 12 lakh over Rs 4.38 lakh gives 2.7 years, an answer that is a year and a half too optimistic.

What the interviewer asks next

  • The charger lasts eight years. What is its IRR at 8 sessions a day?
  • A rival opens next door and Urjit's margin falls to Rs 5 per kWh. How many sessions keep payback at five years?
  • Would you rather own 100 chargers at 8 sessions or 60 chargers at 12, and what else would you want to know?
← Case 058Saptak Holdings owns 80% of a power generator with its own debt and all of a small trading arm, and owes notes at the holding company. What do the holdco noteholders recover in a liquidation, and how do the consolidated accounts overstate their protection?Case 060 →How would you value a company with negative cash flows? Value Zyvora Mobility, a fast-growing loss-maker, with an eight-year DCF and an exit multiple, and show where the value comes from.

Company names and figures are illustrative.

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