App LTV & UA Payback Calculator

Does a paid install actually pay back? Enter your cost per install, day-30 retention, and ARPDAU. This models app lifetime value, the LTV-to-CPI ratio, how many days to payback, and the break-even retention your user acquisition needs to survive.

An install only matters if the value it returns clears what it cost. This calculator fits a retention curve to your day-30 number, sums the active days a cohort stays over a year, and multiplies by ARPDAU to estimate app LTV — then compares it to CPI to show payback, the LTV-to-CPI ratio, and the smallest day-30 retention that breaks even. You can’t buy your way out of a leaky retention curve; this shows you where the line is.

The model

App LTV and UA payback inputs and result

Blended cost to land one install.
Still active at day 30.
Revenue per active user per day.
Your acceptable payback window.
✓ Pays back
Estimated app LTV per install
$0.00
0.0×LTV : CPI
Payback
Break-even D30
at 22% day-30 retention and $0.05 ARPDAU.
Export
Cumulative revenue per install, by day (vs your CPI)
DayRetentionCumulative rev / installvs CPI

Illustrative model · RGM analysis. The retention curve is a power-law fit to a single day-30 point, and monetization is held flat at ARPDAU. Real LTV uses your measured cohort curve and monetization ramp — treat this as a planning estimate, not a forecast.

Walkthrough

How to use this calculator

  1. Enter your blended cost per install.Use total UA spend divided by installs across channels, not your cheapest channel on its best day. That is the number an install has to repay.
  2. Set day-30 retention honestly.Pull it from your cohort report — the share of a given install cohort still opening the app at day 30. This one number shapes the entire lifetime curve.
  3. Enter ARPDAU.Average revenue per daily active user per day, blending ad revenue and in-app purchases. If you only have monthly ARPU, divide by ~30 as a rough start.
  4. Choose your target payback window.Most UA teams want an install to repay within 90–180 days. The verdict turns on whether the model clears your window.
  5. Read the verdict, then export.Check LTV, the LTV-to-CPI ratio, payback days, and break-even retention. Copy a share link, download the CSV, or print a one-page PDF for your UA plan.

From the desk

RGM Expert Says

Real Growth Matters — App growth practiceHow we use this tool with clients

We open this before approving any paid-UA scale-up, in the meeting where someone points at a low CPI and says “installs are cheap, let’s pour it on.” Cheap installs into a leaky retention curve are the most expensive mistake in mobile growth — you pay to rent users who never come back. The tool turns the argument into a number: at this CPI, this retention, and this ARPDAU, an install pays back in this many days, or it never does.

The single most important input is day-30 retention, because it sets the shape of everything downstream. A move from 18% to 24% doesn’t just add a few points — it lifts every future day the cohort stays active, and the LTV moves far more than the same effort spent chasing a lower CPI. That is why we almost always fix onboarding and the day-1 experience before we scale acquisition. A great UA team cannot outrun a broken first session.

Use the break-even retention readout as a target, not a trophy. If your break-even D30 is 30% and you’re at 22%, that gap is your product-and-lifecycle roadmap, quantified. When the verdict comes back “underwater,” the honest moves are to lift retention, raise ARPDAU, or lower CPI — not to spend faster. This model is deliberately simple so it fits on one screen; we build the real, cohort-measured version on your data.

The math

How it works

You can’t judge an install by its price — only by what it returns. So we work forward from retention. First we fit a power-law decay curve to your single day-30 retention point, which is a standard shape for app retention:

retention(d) = (d + 1)−k,  where  k = −ln(D30) ÷ ln(31)

Then we sum the active user-days a cohort accumulates over a one-year horizon, and multiply by ARPDAU to get lifetime value per install:

active-days = Σd=0..365 retention(d)
app LTV = ARPDAU × active-days

Payback is the first day the running cumulative revenue per install clears CPI. The break-even day-30 retention is the value that makes app LTV exactly equal CPI at your ARPDAU, solved numerically by binary search:

find D30 such that  ARPDAU × Σ retention(d; D30) = CPI
  • D30 — day-30 retention as a fraction (0.22 for 22%). k — the decay exponent implied by D30. ARPDAU — average revenue per daily active user per day.
  • LTV : CPI — app LTV divided by cost per install. Above ~3× is healthy, 1–3× is thin, below 1× loses money over the horizon.
  • Payback — days until cumulative revenue per install equals CPI. Shorter payback means less capital financing growth.

The power-law retention shape is a common empirical approximation for mobile apps; fitting it to one day-30 point and holding monetization flat is RGM’s own simplifying model for fast planning. A production model uses the full measured curve and a monetization ramp.

Why it matters

The install is the start, not the win

Mobile retention is brutally honest. A widely cited 2015 analysis of 125M+ Android devices found the average app kept about 29% of users at day 1, 17% at day 7, and under 10% at day 30 — roughly 90% gone within a month (Quettra / Andrew Chen, 2015). Roughly one in four apps is opened only once (Localytics, 2017). When that’s the baseline, installs poured into a leaky curve just rent users who leave.

Retention drives LTV more than CPI does. Because lifetime value compounds across every day a cohort stays, a few points of day-30 retention can outweigh a large cut in install price. That is why the highest-ROI work is often onboarding and the day-1 experience — apps that lead with value instead of a sign-up wall cut one-and-done use from about 25% to 13% (Localytics, 2017), and early push notifications can lift retention materially (Airship, 2023).

This is where a payback model stops being a spreadsheet and starts being a decision. If break-even retention sits above where you are, no amount of paid scale fixes the economics — the honest moves are to lift retention, raise ARPDAU, or lower CPI. If you already clear it comfortably, scale the winning cohorts. Either way, you decide on the loop, not the install count. See the full picture on the app marketing field guide.

Benchmarks

Retention anchors to sanity-check your inputs

Retention and monetization vary enormously by category, platform, and year, so treat these as directional anchors, not targets. Date every figure and build your real numbers on your own cohorts.

AnchorTypical valueUse it as
Average app, day-30 retention (2015 Android)~9.6%Low baseline
Average app, day-1 retention (2015 Android)~29%Curve anchor
Strong consumer app, day-30 retention~25–40%Healthy target band
Top-decile / habitual app, day-30~50%+Best-in-class ceiling
Apps used only once~24%The one-and-done tax
Sources: Quettra / Andrew Chen (2015, Android); Localytics (2017). Band figures are directional. For your exact category, see RGM’s benchmarks hub and retention rate.

Voices worth trusting

What the app-growth field says

“Retention is the single most important thing for growth.”
General Partner, a16z · The Cold Start Problem
The value of a user is set long before you monetize them — it’s set by whether they come back.
Brian Balfour
Founder, Reforge (paraphrase)
In mobile UA, you don’t buy installs — you buy the retained, monetizing users those installs contain.
Eric Seufert
Author, Freemium Economics (paraphrase)

Related on RGM

Keep learning

FAQ

Common questions

How do you calculate app LTV?
App LTV per install is ARPDAU times the active user-days a cohort accumulates over its lifetime. This tool fits a power-law retention curve to your day-30 retention, sums active days over a year, and multiplies by ARPDAU.
What is UA payback?
UA payback is the time for the cumulative revenue from an install to equal its cost per install. Shorter payback means less time financing growth and lower risk if a channel or cohort turns.
What is a good LTV to CPI ratio?
As a rule of thumb, 3× or higher leaves room for overhead and variance, 1–3× is thin, and below 1× loses money over the modeled horizon. The right target depends on payback speed and your margins.
What is break-even retention?
Break-even retention is the day-30 retention at which modeled app LTV equals cost per install for your ARPDAU. Below it installs lose money; above it they pay back. The gap between your current and break-even retention is a quantified roadmap.
Why does day-30 retention drive LTV so much?
Retention sets the shape of the whole lifetime curve, so a small lift compounds across every future active day. That is why fixing onboarding and day-1 experience usually beats chasing a lower CPI.
Is this model exact?
No — it is an illustrative planning model. It approximates the full retention curve from one day-30 point and holds monetization flat. Real LTV uses your measured cohort curve and monetization ramp.

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