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Customer Lifetime Value 2026: Why Retention Rules It

A subscription worth $290.29 a customer, and why three points of monthly retention cost 32.8 percent of it while three dollars of margin cost 14.3 percent.

7 min read
In short
  • Lifetime value is margin per period times expected lifetime. The discounted version divides margin by one plus the discount rate less retention, and it is the one to use.
  • At $21 of monthly margin and 94 percent monthly retention, the undiscounted figure is $350 and the discounted figure is $290.29. Discounting removes 17 percent.
  • Three points of monthly retention take $290.29 down to $195.00, a fall of 32.8 percent. Three dollars of monthly margin move it 14.3 percent.
  • Against $118 of acquisition cost the ratio is 2.46 and the payback is 5.6 months. At 91 percent retention the ratio falls to 1.65.
  • Bain's published FashionCo case sets a one-time $50 activation cost against a permanent 20 percent discount, which is a lifetime question wearing a promotion.

Lifetime value is the present value of the margin a customer produces before they leave. Two things decide it, and they are not equally powerful. Margin sits in the numerator and retention sits in the denominator, which is the whole reason this page exists.

The customer lifetime value formula, and its two versions

The simple version is margin per period times expected lifetime, where expected lifetime is one divided by the churn rate. It is quick, it is wrong by a predictable amount, and it is useful as a sanity check.

The discounted version is margin per period times retention, divided by one plus the discount rate less retention. Write it out once and the denominator explains the asymmetry: retention appears there, so moving it changes the divisor rather than the dividend.

Two rules before any number goes in.

  1. Use margin, never revenue. Contribution after fulfillment, payment fees and service cost. Revenue-based lifetime value flatters every business with a high cost of goods.
  2. Match the period of the margin to the period of the retention. Monthly margin needs monthly retention and a monthly discount rate. Mixing an annual retention figure with monthly margin is the error that produces a twelve-fold answer.
  3. Say which cohort the retention came from. A rate measured on customers acquired through a discount offer does not describe customers acquired through referral, and averaging the two hides the difference that decides the spend.

Charles River Associates tells candidates to "show your math", checked 30 September 2026 at crai.com. On a lifetime calculation that means writing the period next to every input, because the period is what goes wrong.

Reading a worked example is not producing one.

Score my answer

The subscription lifetime value, month by month

A pet food business sells a monthly subscription. Revenue per active subscriber is 62 dollars a month. Cost of goods, packing and delivery is 41 dollars. So margin is 62 minus 41, which is 21 dollars a month.

Monthly retention is 94 percent, so monthly churn is 6 percent. Annualize that and it is one minus 0.94 to the twelfth power, which is 52.4 percent of the base gone in a year. That figure is worth computing because 6 percent a month sounds survivable and losing half the book in a year does not.

Expected lifetime is one divided by 0.06, which is 16.67 months. The simple lifetime value is 21 times 16.67, which is 350 dollars.

Now discount it. The business uses 10 percent a year, which is about 0.8 percent a month. The discounted figure is 21 times 0.94, divided by 1.008 minus 0.94. The denominator is 0.068, and 0.94 divided by 0.068 is 13.82, so 21 times 13.82 is 290.29 dollars.

Discounting removed 350 minus 290.29, which is 59.71 dollars, or 17 percent of the simple figure. That gap grows with lifetime: on a business retaining 98 percent a month it would be far larger, which is why the simple version flatters exactly the businesses that boast about retention.

Retention moves lifetime value twice as hard as margin

Here is the finding, and it is the reason a lifetime value conversation should start with churn.

Change New lifetime value Change from $290.29
Base: $21 margin, 94% retention $290.29
Margin up $3, to $24 $331.76 plus 14.3%
Margin down $3, to $18 $248.82 minus 14.3%
Retention up 1 point, to 95% $343.97 plus 18.5%
Retention down 3 points, to 91% $195.00 minus 32.8%

The 91 percent line: 21 times 0.91 is 19.11, divided by 1.008 minus 0.91, which is 0.098, so 19.11 divided by 0.098 is 195.00 dollars exactly.

Compare the two three-unit moves. Three dollars of margin, which is a 14.3 percent change in margin, moves lifetime value 14.3 percent, because the numerator is linear. Three points of retention moves it 32.8 percent, which is 2.3 times as much. The retention move also looks smaller on the page: 94 to 91 is a three point change on a number already close to one hundred.

The mechanism is the denominator. At 94 percent retention the divisor is 0.068. At 91 percent it is 0.098, which is 44 percent larger. A small absolute change in retention is a large relative change in the thing you divide by, and that is the entire asymmetry.

Can you hold the margin under a clock?

Lifetime value against acquisition cost, and the payback month

Lifetime value on its own decides nothing. It has to be read against what a customer costs to acquire.

Acquisition cost here is 118 dollars, blended across paid media, referral credits and the first-box discount. The ratio is 290.29 divided by 118, which is 2.46. Payback in months is 118 divided by 21, which is 5.62 months, so the business recovers its acquisition spend early in month six.

Then run the retention sensitivity through both measures, because that is where a marketing plan meets an operations problem. At 91 percent retention the ratio is 195.00 divided by 118, which is 1.65, and payback is unchanged at 5.62 months because monthly margin did not move.

That divergence is worth saying out loud. Payback looks identical under both retention scenarios and lifetime value falls by a third, so a business managed on payback alone would see nothing at all. Payback measures how fast the money comes back and lifetime value measures how much of it arrives.

Simon-Kucher describes its own work as increasing clients' "long-term sales, value, and profit" and publishes a claim that its projects lift client profitability by 100 to 500 basis points, checked 30 September 2026 at simon-kucher.com. Basis points of profitability are a margin measure, and the arithmetic above says margin is the weaker of the two dials on a subscription book.

A published loyalty program, costed from its own assumptions

Bain's FashionCo case gives a retailer with falling revenue two options. Option A is a loyalty program: 25 percent enrollment in year one, 10 million customers, 100 dollars of average annual spend, a 50 dollar one-time activation cost and a permanent 20 percent discount. Option B is intermittent sales: 20 percent off for three months a year, assuming purchases double in those months. The published answer picks B, which is "projected to generate $50M more than the awards program", checked 29 September 2026 at bain.com.

The firm's calculation tables are images that we could not read, so what follows is our own derivation from its stated assumptions rather than its published working.

Enrollment is 25 percent of 10 million, which is 2.5 million members. At 100 dollars of average annual spend that is 250 million dollars of spend inside the program. A permanent 20 percent discount on that is 50 million dollars of revenue given up every year. The one-time activation cost is 2.5 million members at 50 dollars, which is 125 million dollars, once.

Those two costs have completely different shapes, and that is the lifetime point. Per member, the activation is 50 dollars once and the discount is 20 dollars a year forever. At a 10 percent annual discount rate, 20 dollars in perpetuity is worth 200 dollars, so the present value cost of enrolling one member is 250 dollars, of which four fifths is the discount.

So the option that looks cheaper in year one is the more expensive one over a lifetime, and the option that looks expensive in year one front-loads its cost. Bain writes that it is "not looking for a single right answer", checked 29 September 2026 at bain.com. On a case like this the defensible answer is the one that names the horizon it was computed over.

Where lifetime arithmetic is scored

The weights below are ours, read from the rubric code our own grader runs. No consulting firm publishes a marking scheme, so none of this is Bain's view of its own loyalty case.

Case math, weighted
  • Answer40
  • Working25
  • Interpretation20
  • Units15
StructuringCoverage 45 · Separation 25 · Depth 20 · Concision 10
Idea generationBreadth 30 · Buckets 30 · Specificity 20 · Prioritisation 20
Market sizingScope 25 · Assumption chain 30 · Arithmetic 25 · Sanity check 20
ExhibitsObservation 25 · Implication 25 · So what 30 · Next test 20
SynthesisAnswer first 35 · Evidence 25 · Risk 20 · Next step 20

Answer 40 is the largest line and the mismatched period is how it goes. Annual retention with monthly margin produces a lifetime value twelve times too large, and nothing downstream reveals it.

Working 25 is the denominator written out. One plus the discount rate less retention is three inputs in one divisor, and writing it as 1.008 minus 0.94 equals 0.068 lets an interviewer change any of the three without restarting.

Units 15 is dollars per month against months against dollars. Expected lifetime is in months, so margin has to be per month, and the product is in dollars with no period attached.

Interpretation 20 is the sensitivity table. Producing 290.29 is arithmetic. Saying that retention is 2.3 times as powerful as margin, and that payback would not have shown it, is the finding. The reasoning behind each weight sits on how an answer is assessed.

Time a chain like this in the case math drill, which reports Answer, Working, Units and Interpretation separately, and test an acquisition payback in the breakeven calculator. Both are free and need no account. Neither knows your retention curve, and a single monthly rate is an approximation of a curve that usually steepens early. For the per-unit version of the same arithmetic, see unit economics; for lifetime value computed separately by segment, see segmentation analysis; and for the one-time against recurring comparison as a capital decision, see cost benefit analysis.

See your answer scored, dimension by dimension.

Reading a worked example and producing one are different skills. Work a full case and see it scored, dimension by dimension.

Sources

Primary sources only: the firm, the test vendor, or the institution concerned. Each carries the date we last read it.

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Written and reviewed by
Elias MarchandStrategy editor

Edits the firm and case guides on this site. Reads each claim about a recruiting process back to the firm's own page before it is published, keeps the source ledger dated, and owns the corrections.

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