Model Payback Calculator
If a model makes better decisions than your current rules, how long until it pays back what it costs to build and run?
Enter the source's volume and funded rate and the smallest incremental share you care about. The calculator works out how many leads to decline, how long that takes and what it costs. The defaults are the illustrative Source A example from the article.
Held-out funded rate at that share: 4.50% versus 6.0% for bought leads.
The line shows the smallest incremental share the test could detect if you stopped after each week; the test is big enough once it drops below your target. It uses the standard two-proportion z-test with unequal groups, so it assumes leads are randomized one by one and borrowers fund independently. Weeks count from the first declined lead; the lag is added on top because the last leads still need time to fund. The default cost per declined lead ($18) is what the article's last-touch report implies: 6% of leads funding at $800 margin, less the $30 price. If the source is mostly not incremental, the true cost of declining is lower.
Before you decline a random share of a lead source to measure its incrementality, check that the test can actually find the effect you care about. Enter the source's volume, its funded rate and the smallest incremental share worth detecting, and the calculator returns the leads to hold out, the weeks it takes and what declining them costs. The default inputs are an illustrative example, not benchmarks.
If a share X of the source's funded loans is truly incremental, held-out leads fund at the bought rate × (1 − X). The calculator uses the standard sample size for a two-sided two-proportion z-test (normal approximation, no continuity correction) with unequal groups: k bought leads for every held-out lead, where k = (1 − holdout share) ÷ holdout share. Weeks needed = held-out leads ÷ (holdout share × monthly leads × 12 ÷ 52); the outcome lag is added on top for a readable result. The detectable share after a chosen number of weeks is the X at which the required held-out leads equal the leads declined by then.
If a model makes better decisions than your current rules, how long until it pays back what it costs to build and run?
What should you bid in a first-price lead auction to maximize expected profit, given what the lead is worth and how competitors bid?
When will your daily lead budget run out at the current pace, and what bid multiplier spreads it across the rest of the day?