Cumulative contribution and exact break-even markerPaid installs on x-axis; currency on y-axis
Marketing & Advertising
App Acquisition Break-Even Calculator
Solve the retained-value crossing for an app-acquisition launch. The calculator converts each paid install through registration, paid conversion, and day-30 retention, deducts CPI and expected loss, and tests whether the resulting unit contribution can repay fixed creative, product, and measurement work. It is designed for go or no-go and scale decisions, with a capacity-free sensitivity ledger that exposes exactly why a crossing moves.
Input evidence: mature registration, paid conversion, retention, refunds, and value on one acquisition cohort. CPI must use the same paid-install attribution rule; fixed cost excludes media that scales with installs.
Break-even paid installs—
Break-even retained payers—
Break-even media spend—
Net value per paid install—
Contribution after CPI—
Feasibility—
Retained-value crossing
Find when paid-install contribution repays launch obligations
The curve values only day-30 retained payers and keeps CPI separate from fixed launch work.
| Paid installs | Registrations | Initial payers | Retained payers | Retained value | Media | Net after fixed cost |
|---|
How to use
Build break-even from retained value
- Separate fixed launch work from CPI.
- Use one cohort for conversion and retention.
- Value retained payers net of losses.
- Confirm positive contribution per install.
- Compare the crossing with audience and cash capacity.
Fundamentals
Five layers determine the crossing
Paid install
Install priced at CPI.
Registration yield
Registrants per paid install.
Payer yield
Initial payers per registrant.
Retained yield
Day-30 payers surviving the rule.
Unit contribution
Net retained value less CPI.
Result interpretation
The install hurdle is meaningful only with positive unit contribution
Break-even installs and retained payers describe scale; media spend describes cash; value per install and contribution explain slope. Nonpositive contribution means no finite crossing.
Method
Translate one install through the retained-payer chain
Multiply the three cohort rates, apply net value after loss, subtract CPI, then divide fixed cost by remaining contribution.
Cohort boundary
Do not combine cheap installs with unrelated retention
Channel, country, platform, offer, and app version can change every transition.
Scale boundary
CPI and quality can deteriorate together
The linear curve does not model auction saturation or marginal cohort quality.
Value boundary
Gross revenue overstates repayable value
Use contribution after refunds, fees, support, and the chosen horizon.
Visualization reading
Read slope, starting deficit, and crossing
Paid installs are horizontal and cumulative net contribution is vertical. Funnel rates, value, loss, and CPI change slope; fixed cost moves the starting deficit. The chart is misleading when a visible crossing exceeds reachable audience, budget, or service capacity.
Detailed calculation process
Formula and intermediate steps: Solve retained contribution per install
1. y=r×p×d
2. v′=v(1−l)
3. u=yv′−CPI
4. I*=F/u
5. R*=I*y; M*=I*CPI
In plain language, value the retained-payer yield created by one paid install, subtract acquisition cost, and divide fixed obligations by what remains.
- r,p,d
- registration, paid and retention rates; decimals
- v
- 12-month value; currency/payer
- l
- loss rate; decimal
- F
- fixed cost; currency
- I*
- break-even installs; installs
- u
- contribution; currency/install
Default substitution and reconciliation
y=.64×.18×.76=.087552; v′=$118×.88=$103.84; u=$5.29. I*≈17,959. Multiplying I*×u returns $95,000 before rounding and reconciles the displayed crossing to fixed cost. Final check: multiplying break-even installs by contribution per install returns the fixed launch cost before rounding, matching the displayed break-even crossing and result card.
Evidence
Reconcile media, product, billing, and refunds
Freeze event definitions, mature windows, remove fraud consistently, and document whether organic effects are excluded.
Limitations
Linear single-cohort economics omit uncertainty
No channel mix, delayed conversion, CPI response, reactivation, annual billing, overhead, or causal incrementality is modeled.
Glossary
Break-even terms
- Retained payer yield
- Retained payers per install.
- CPI
- Media cost per paid install.
- Fixed cost
- Cost unchanged by volume.
- Unit contribution
- Net value after CPI.
- Crossing
- Volume where cumulative contribution equals fixed cost.
- Mature cohort
- Cohort observed through the required window.
Cases
Two ways the model changes the decision
Cheap installs, weak retention
No practical crossing appears, so product retention work precedes scale.
Higher CPI, stronger payer value
Unit contribution stays positive and the reachable crossing supports a controlled launch.
Important note
Before relying on this result
The model is deterministic and excludes saturation, channel mix, organic halo, delayed payback, taxes, fraud, cohort variance, platform fees not entered, causal uncertainty, and financing cost.
Additional App Acquisition Break-Even Calculator questions
Why is break-even based on retained value?
It avoids treating low-quality installs or initial payers as durable economic outcomes.
What if unit contribution is negative?
No finite paid-install volume repays fixed cost under the entered assumptions.
Should lifetime value be used?
Only when its horizon, margin, refunds, and uncertainty match the decision; a shorter retained-value horizon is often more auditable.
Does break-even prove the campaign is attractive?
No. It identifies a crossing, not cash timing, risk, opportunity cost, or causal incrementality.