Bid-Shading Calculator
What should you bid in a first-price lead auction to maximize expected profit, given what the lead is worth and how competitors bid?
Describe how buyers' acceptance falls as your price (or reserve floor) rises, what an unsold lead is still worth to you and what each lead costs. The calculator finds the price that maximizes expected profit per lead and compares it with your current price. The starting numbers are an illustrative example, not benchmarks.
The rule: keep raising the price while the margin you gain on accepted leads outweighs the leads you lose. With this curve that balance is reached where price − fallback = sensitivity ÷ share rejected: $37.78 − $0.00 = $10.00 ÷ 26%. Your current price is above it: a lower price sells enough extra leads to earn more in total.
This treats the price as a take-it-or-leave-it offer: an accepted lead pays exactly the price. In a second-price auction with a reserve, the winner often pays the second bid instead, so revenue is higher than shown, although the best floor follows the same rule when acceptance is read as one buyer's chance of valuing the lead above it. The curve here is assumed; estimate yours from randomized price or floor tests on a share of traffic, per segment, and recheck it as buyers and demand change.
A higher price earns more on each lead a buyer accepts, but fewer leads are accepted. This calculator takes a simple acceptance curve (the price at which half of leads are accepted and how sharply acceptance falls around it), what an unsold lead is still worth to you and your cost per lead, and finds the price or reserve floor that maximizes expected profit per lead. It compares that with your current price and charts profit and acceptance across prices. The default inputs are an illustrative example, not benchmarks.
The share of leads accepted at price p is modelled as a logistic curve that equals 50% at the half-acceptance price and falls more steeply the smaller the price sensitivity. An accepted lead pays the price; an unsold lead earns its fallback value (a secondary buyer, your own offers, or nothing). Expected profit per lead is acceptance × (price − fallback) + fallback − cost. The calculator searches prices numerically (a grid, then golden-section search) for the peak. At the peak, raising the price a little loses as much from rejected leads as it gains on accepted ones, which for this curve means price − fallback = sensitivity ÷ share rejected. Cost per lead shifts profit but not the best price; a higher fallback value raises it.
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?
What is a minute of response time worth when contact rates decay the longer a lead waits?