Applications
Chatbot monthly cost estimator
Monthly cost of a chat assistant where every turn re-sends the conversation so far.
Prices read from the vendor pages on 2026-10-20. Arithmetic on list prices, not advice or a quote.
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How it works
Chat cost grows with the square of the turn count because each turn re-sends the whole history. Prompt caching turns most of that re-sent history into cache reads, which is why the cached and uncached figures differ so much on long conversations.
The formula
turn n input = system + n * user + (n - 1) * assistant; everything before the newest user message is cacheable; output = assistant tokens per turnWorked example
With the inputs the page opens on:
- conversations per month: 10000
- turns per conversation: 6
- user message tokens: 80 tokens
- assistant message tokens: 250 tokens
- system prompt tokens: 1200 tokens
- model: claude-sonnet-5-5
- cache history: true
gives
- monthly cost: $171.75
- cost per conversation: $0.0172
- input tokens per conversation: 12,630 tokens
- output tokens per conversation: 1,500 tokens
Sources
- https://developers.openai.com/api/docs/pricing (read 2026-10-20)
- https://platform.claude.com/docs/en/about-claude/pricing (read 2026-10-20)
- https://ai.google.dev/gemini-api/docs/pricing (read 2026-10-20)
Prices read from each vendor's own pricing page on 2026-10-20; the page may have changed since. This is arithmetic on published list prices, not advice or a quote. Check the vendor's page before committing a budget.
Questions
What about summarizing old turns?
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