The Crimson Bench

ProSaaS · Simulator

Retention Curve LTV Simulator

A realistic LTV — churn that improves with age.

Assumptions

LTV / customer

$448

Retained (mo 24)

30%

24-mo margin

$447,643

MonthActiveCumulative Margin
Month 3741$98,228
Month 6577$173,399
Month 9472$233,812
Month 12404$284,763
Month 15363$329,818
Month 18340$371,496
Month 21320$410,723
Month 24301$447,643

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Every row, plus Excel/PDF export and AI analysis.

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Toolkit Pro

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Built by The Crimson Bench · Educational model, not financial advice

About the Retention Curve LTV Simulator

Model a cohort whose churn declines as it matures (as real ones do) to get an LTV that flat-churn models miss.

It's built for directional planning: change any assumption and watch the whole projection move, the way a seasoned operator pressure-tests a plan before committing capital. Everything is computed live in your browser — nothing is sent anywhere.

How the Retention Curve LTV Simulator Works

The model takes 5 assumptions and returns 3 headline metrics plus a full breakdown. Here is exactly what goes in and what comes out — no black box.

The Inputs

AssumptionExample value
Cohort size1,000
Month-1 churn10%
Churn decline / mo (pts)0.5
ARPU / mo$50
Gross margin80%

Worked Example

Every figure below is produced by the live model using the example assumptions above. Change any input in the simulator to see your own numbers.

LTV / customer

$448

Retained (mo 24)

30%

24-mo margin

$447,643

MonthActiveCumulative Margin
Month 3741$98,228
Month 6577$173,399
Month 9472$233,812
Month 12404$284,763
Month 15363$329,818
Month 18340$371,496

The Operator's Read

Real retention curves flatten — the customers who survive the early months tend to stay for years. Flat-churn LTV models understate the value of those loyal survivors, and with it how much you can spend to acquire. Educational only.

Assumptions & Limitations

  • The model is deterministic: it projects your inputs forward with clear arithmetic, not a Monte-Carlo or probabilistic forecast. It shows one scenario at a time — run several to bracket a range.
  • Defaults are illustrative benchmarks, not your business. Replace every field with your real numbers before drawing conclusions.
  • It abstracts away taxes, financing, seasonality, and one-off events unless a field explicitly captures them. Treat the output as a directional estimate.
  • This is an educational tool, not financial, investment, tax, or legal advice. Validate real decisions with a qualified professional.

Frequently Asked Questions

What does the Retention Curve LTV Simulator calculate?

Model a cohort whose churn declines as it matures (as real ones do) to get an LTV that flat-churn models miss. It takes 5 assumptions — Cohort size, Month-1 churn, Churn decline / mo (pts), ARPU / mo, Gross margin — and returns LTV / customer, Retained (mo 24), 24-mo margin, along with a full projection table you can export.

How do I use the Retention Curve LTV Simulator?

Enter your own figures in the input fields above — Cohort size, Month-1 churn, Churn decline / mo (pts), and the rest. The model recalculates instantly and shows the resulting LTV / customer and full breakdown. No sign-up needed to run it.

Is the Retention Curve LTV Simulator free?

Yes — you can run the simulator and see the headline results for free. Toolkit Pro unlocks the full projection table, Excel/PDF export, saved scenarios, and AI analysis: $180/mo, $1,728/yr, or unlock any 3 simulators for $20.

What's the difference between this and a free calculator?

A calculator answers one question. This simulator models the full picture — multiple linked assumptions, a projection table, and scenario comparison — the way an operator would build it in a spreadsheet, but instantly.

Who built the Retention Curve LTV Simulator?

The Crimson Bench's Ivy League-educated operators — the same people we deploy into C-suites. This is the self-serve version of a model they'd build inside a live engagement.

Is this financial advice?

No. The Retention Curve LTV Simulator is an educational modeling tool for directional planning — not financial, investment, tax, or legal advice. Validate any real decision with a qualified professional.

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The Crimson Bench · Est. 2002 · Founded in New York City

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