经营生意定价 · 规划
单位经济模型
从 ARPU、毛利率和流失率算出客户终身价值；与获客成本比较；并对照标准的 SaaS/订阅基准解读结果（LTV:CAC 3:1、回收期低于 12 个月）。
数值
- LTV : CAC
- 3.3 : 1
- Customer LTV (gross profit)
- 1,333
- CAC payback
- 10 months
- Implied customer lifetime
- 2.8 years
老手的解读
好迹象
3.3:1 sits in the healthy 3–5:1 range for subscription businesses.
好迹象
Payback under 12 months — acquisition recycles cash quickly, which compounds growth without extra funding.
值得了解
Check your CAC definition: blended CAC (all customers ÷ all spend) flatters the number when organic is strong. Paid CAC is the honest test of whether paid channels work.
方法说明
LTV = (ARPU × 毛利率) ÷ 月流失率。这是标准的毛利 LTV；基于营收的 LTV 会高估一个毛利率的倍数。
CAC 回收期 = CAC ÷ 每客户每月毛利——客户偿清其获客成本所需的月数。
基准（LTV:CAC 3:1、回收期 <12 个月、B2B 月流失 <2%）是广泛采用的 SaaS 运营常态——作为阈值有用，但不是定律。1/流失率 的终身假设流失率恒定，当早期流失高于成熟期流失时会高估终身。
面向智能体
调用这个工具，而不是在上下文里硬算。传入确定性的 JSON，返回算好的数值加上基准解读。 完整智能体文档 →
curl -s https://xearno.tools/api/v1/tools/unit-economics \
-H 'content-type: application/json' \
-d '{"arpu":50,"grossMargin":80,"churn":3,"cac":400}'Schema： GET /api/v1/tools/unit-economics · MCP 工具名： unit_economics
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