Equity Research puzzles, solved step by step
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039Estimate the size of the global 5G smartphone market in 2022, in units and in value. Build it from the pool of phones replaced each year, the 5G share of new sales by price band and the average selling price, stating each assumption.AllianceBernsteinNew York · 2022
Try it first
Which assumption swings the answer the most?
Show the worked solution
Roughly 607 million 5G phones worth about US$ 351 billion, on stated assumptions. Assume 4 billion smartphones in use, replaced every 3 years, so about 1.33 billion are sold in 2022. Assume all premium phones, 60% of mid-range and 15% of entry phones are 5G, a blended 45.5%, which gives 607 million units. At a blended price near $579, the value is about US$ 351 billion.
Where do you start: people, phones or networks?
Think of estimating how many pairs of school shoes a town buys. You do not count shops; you count children and ask how often a pair wears out. Annual phone sales are the phones in use divided by how many years a phone lasts, so start from the installed base and the replacement cycle, then split the year's sales by price band. Say every number as an assumption: an installed base of 4 billion and a 3 year cycle are round figures for the method, to be checked against an industry tracker before they go into a note.
Price band Share of 2022 sales 5G share 5G units, m Average price, US$ Value, US$ bn Premium, above $600 20% 100% 267 900 240 Mid, $250 to $600 30% 60% 240 380 91 Entry, below $250 50% 15% 100 200 20 Total 100% 45.5% 607 579 351 All inputs are assumptions for the estimate; premium phones are a fifth of units but most of the 5G value. Four billion phones in use and a three year cycle give 1.33 billion sales, of which 607 million are 5G, worth about US$ 351 billion; the answer is only as good as the replacement cycle, which is the widest step. How do you show the interviewer you know where the estimate is weak?
Run the sensitivity on the widest step. A cycle of 2.5 years gives 728 million 5G units and 3.5 years gives 520 million, a swing larger than any plausible error in the price assumptions. Then sanity check the output: 45% of phones sold being 5G in 2022 should sit sensibly against what you know about network rollouts, and a blended price near $579 says premium phones carry most of the value. The limitation: first-time buyers are folded into the cycle, which slightly understates sales in markets still adding users.
Where candidates lose it
Candidates lose this by starting top-down from the world population with a chain of shares, which stacks five guesses before touching the phone. Others give one number with no split by price band, so the interviewer cannot see where the 5G share comes from.
Say the structure first, then each assumption as a round number, then the sensitivity on the replacement cycle. That order is what the interviewer marks.
What the interviewer asks next
- How would the estimate change for India alone, where more sales sit in the entry band?
- Why might the replacement cycle lengthen in a year when 5G phones become common?
- How would you split the value between handset makers and chip suppliers?
Asked at AllianceBernstein, Equity Research, New York, 2022 (Wall Street Oasis):
Estimate the market size of 5G smartphone sales in 2022.
064Why should I buy your college, and how much would you sell it for? Put a price on a college with 5,000 students paying fees of Rs 3 lakh a year, running at a 25% EBITDA margin, if similar businesses change hands at 12 times EBITDA.Wellington ManagementBoston · 2024
Try it first
What is the college worth at 12 times EBITDA?
Show the worked solution
About Rs 450 crore. Revenue is 5,000 students x Rs 3 lakh, Rs 150 crore a year. A 25% EBITDA margin gives Rs 37.5 crore, and at 12 times that is an enterprise value of Rs 450 crore, before subtracting any debt. The case for buying is fees paid in advance, a campus and approvals that are slow to copy, and demand that renews with a new batch every year.
How do you structure an open question like this?
The question has two halves and the interviewer wants both. It is like selling a flat: first you say what makes it worth having, the light, the location, the building, and then you give a price per square foot times the area. Give the reasons to own it in three short points, then build the price as revenue times margin times multiple, naming every input so the interviewer can push on any one of them. Leading with the structure also buys you time to do the arithmetic.
Five thousand students at Rs 3 lakh give Rs 150 crore of revenue, a 25% margin leaves Rs 37.5 crore of EBITDA, and twelve times that is a value of Rs 450 crore, three times one year's fees. What makes the case for buying convincing?
Pick the features an investor would pay for. The strongest is that customers pay a term or a year in advance and come back every year, so the business funds its own working capital and its revenue is visible well before the year starts. Add that a campus, a faculty and regulatory approvals take years to replicate, which protects the fee level, and that demand refreshes with every new batch. Then name the risk that decides the price: how full the seats are. One caution belongs here too: in many countries, including India, degree-granting colleges are commonly run through not-for-profit trusts or societies, so confirm the legal structure first, because it decides whether an investor can own the profit at all.
Which number would you defend hardest?
The margin and the multiple, because each moves the answer one for one. At a 20% margin the value falls to Rs 360 crore, and at 10 times EBITDA it falls to Rs 375 crore; every input in the chain carries equal weight. Justify 12 times with the visibility of fee income and 25% with a campus that is nearly full. If asked for a range rather than a point, Rs 360 to 450 crore on those two sensitivities is honest.
Where candidates lose it
Candidates answer only one half: a warm speech about the campus with no number, or a number with no reason to buy. The question is built to see whether you can pitch and value in the same breath.
The arithmetic slip is applying the multiple to revenue and saying Rs 1,800 crore. EBITDA multiples go on EBITDA; say the margin step out loud and the error cannot happen.
What the interviewer asks next
- Occupancy falls from 100% to 80% with fixed costs unchanged. What happens to EBITDA and the price?
- What would you pay for a college that is only half built?
- Why might a buyer pay more than 12 times for this college than for a coaching chain?
Asked at Wellington Management, Investment Research, Boston, 2024 (Wall Street Oasis):
Why should I buy your College and how much would you sell it for?
