Investment Banking puzzles, solved step by step
- Puzzles
- 100
- Traced to a firm
- 36
- Topics
- 12
- Hard
- 29
058A company trades at 15x earnings and pays out 40% of its earnings as dividends. What is its dividend yield?JefferiesChicago · 2026
Try it first
Which is the dividend yield?
Show the worked solution
About 2.67%. A P/E of 15 means each Rs 100 of share price buys Rs 6.67 of yearly earnings, an earnings yield of 1 over 15. The company pays out 40% of that, Rs 2.67, as dividend. Dividend yield is dividend over price, Rs 2.67 over Rs 100. In one line: the payout ratio divided by the P/E, 0.40 over 15.
How do you turn a P/E into something you can multiply?
Flip it. A P/E of 15 says you pay 15 rupees for every rupee of yearly profit, so every rupee of price buys one fifteenth of a rupee of profit. Inverting the P/E gives the earnings yieldEarnings per share divided by the share price: the inverse of the P/E., 1 over 15 or about 6.67%, and every other per-share ratio then falls out by multiplication. Picking a round share price of Rs 100 makes it concrete: earnings per share are Rs 6.67.
A Rs 100 share at 15x earnings carries Rs 6.67 of earnings; paying out 40% gives a Rs 2.67 dividend, a 2.67% yield, while the other Rs 4.00 stays in the business. Why is the dividend only part of the shareholder's return?
Think of a shopkeeper who takes home 40% of each year's profit and leaves 60% in the shop to buy more stock. The retained Rs 4.00 is not lost to shareholders; it is reinvested, and if it earns a decent return it should lift future earnings and dividends. That is why a low dividend yield on its own says little about whether a share is cheap. A company paying out everything would show a 6.67% yield and little room to grow.
The relationshipDPS dividend per share EPS earnings per share payout the share of earnings paid as dividend, 40% P/E price over earnings per share, 15 What it says in wordsDividend yield is the payout ratio divided by the P/E, because both are measured against the same share price.Say the general rule after the number, because the follow-up usually changes one input. If the P/E doubles to 30 with the same payout, the yield halves to 1.33%; if the payout doubles to 80% at the same P/E, the yield doubles to 5.33%. Having the one-line formula ready means you answer those in a breath.
Where candidates lose it
The trap is answering 6.67%, the earnings yield, because 1 over 15 is the first thing anyone computes. Dividends are the part of earnings paid in cash, not all of it.
The other slip is multiplying instead of dividing, 40% times 15, and saying 6.0. Pinning a share price of Rs 100 and walking down to earnings and then to the dividend keeps the direction right.
What the interviewer asks next
- If dividends grow at 5% a year forever, what cost of equity does this price imply?
- The payout rises to 60% and the share price does not move. What is the new yield, and what might the market be thinking?
- Why might a fast-growing company pay no dividend at all?
Asked at Jefferies, Mergers and Acquisitions, Chicago, 2026 (Wall Street Oasis):
what are specific line items in the BS, some very simple P/E calculations, etc.
