Cold DM Math
The math behind cold DM forecasting is straightforward multiplication — but the cascading effect of multiple conversion rates means small changes in assumptions produce large swings in outcomes. Understanding the formulas helps you build better campaign plans.
The funnel formulas
Replies = DMs Sent × Reply Rate
Positive Replies = Replies × Positive Reply Rate
Booked Calls = Positive Replies × Booking Rate
Clients = Booked Calls × Close Rate
Revenue = Clients × Average Client Value
Profit = Revenue − Campaign Cost
ROI Multiple = Revenue ÷ Campaign Cost
Cost per Client = Campaign Cost ÷ Clients
Why stacking matters
A campaign with a 5% reply rate, 30% positive reply rate, 40% booking rate, and 20% close rate converts at 0.12% overall — about 1 client per 833 DMs. Improve the reply rate to 10% and keep everything else the same: the conversion rate doubles to 0.24%. Improve all four rates by 50% and the conversion rate increases more than 5x.
Break-even math
The break-even DM count tells you how many messages you need to send before the campaign generates enough projected revenue to cover its cost. If the break-even number is higher than your planned volume, the campaign economics need to change — either reduce cost, increase client value, or improve conversion rates.
Frequently asked questions
What is the basic cold DM formula?
The basic funnel: replies = DMs × reply rate. Clients = replies × positive reply rate × booking rate × close rate. Revenue = clients × average client value. The calculator applies all these formulas automatically.
How do I calculate break-even DMs?
Divide your campaign cost by revenue per DM. If each DM generates $2 in projected revenue and the campaign costs $500, you need 250 DMs to break even.
What is conversion stacking?
Conversion stacking is the compounding effect of multiple funnel stages. A 10% reply rate stacked with a 30% booking rate and 20% close rate produces a 0.6% overall conversion — meaning 1 client per ~167 DMs. Small changes in any rate compound significantly.
Can I calculate ROI from DMs?
Yes. ROI multiple = estimated revenue ÷ campaign cost. The calculator also shows cost per booked call, cost per client, and revenue per DM to help you understand campaign efficiency.
Put the math to work.
Use the calculator to apply these formulas to your campaign.
Forecasts are estimates based on user-provided assumptions. Results are not guaranteed.
Related: How It Works · Reply Rate Calculator · DM Funnel Calculator