Approach — build a modular decision framework that estimates 12‑month incremental revenue and costs, projects churn impact, and computes NPV with uncertainty using scenario and probabilistic simulation.1) Data & inputs- Baseline: monthly active customers (MAU), avg order value (AOV), purchase frequency (f), gross margin %, retention rate r (monthly), support cost per ticket, tickets per churned customer.- Treatment effects (from pilot/benchmarks): % change in AOV (ΔAOV), % change in purchase freq (Δf), absolute or relative increase in monthly churn (Δchurn), change in support tickets/customer (Δsupport).2) Core formulas (monthly t = 0..11)- New AOV_t = AOV * (1 + ΔAOV_t)- New freq_t = f * (1 + Δf_t)- Revenue_t = Customers_t * New AOV_t * New freq_t- Customers_{t+1} = Customers_t * (1 - (r + Δchurn_t))- IncrementalRevenue_t = Revenue_t - BaselineRevenue_t- IncrementalSupportCost_t = Customers_t * support_cost * Δsupport_t- IncrementalGrossProfit_t = IncrementalRevenue_t * margin - IncrementalSupportCost_t- NPV = sum_{t=0..11} IncrementalGrossProfit_t / (1 + discount_rate)^{t}3) Implementation snippetsSQL to get baselines:sql
SELECT
COUNT(DISTINCT user_id) as MAU,
AVG(order_value) as AOV,
AVG(orders_per_month) as freq,
1 - AVG(monthly_retention) as churn
FROM orders
WHERE order_date BETWEEN DATE_ADD(CURRENT_DATE, INTERVAL -12 MONTH) AND CURRENT_DATE;
Monte Carlo (python pseudocode) to model uncertainty:python
for sim in range(10000):
delta_aov = np.random.normal(mu_aov, sigma_aov)
delta_churn = np.random.normal(mu_churn, sigma_churn)
compute monthly NPV -> store
# summarize median, 10th, 90th percentiles
4) Sensitivity & scenarios- Run deterministic scenarios: best/likely/worst using bounds.- Tornado chart: rank drivers (ΔAOV, Δchurn, margin) by impact on NPV.- Monte Carlo: produce distribution, probability NPV>0.5) Communicating uncertainty- Present key summary: expected NPV (mean/median), 10/90% bands, probability of negative NPV.- Visuals: NPV distribution histogram, cumulative probability, tornado chart for drivers, scenario table.- Actionable thresholds: e.g., “If Δchurn > X% or ΔAOV < Y% project loses money” — give guardrails for launch (target KPIs, rollbacks).- Recommend phased rollout/A‑B test with early stopping criteria and instrumentation: lift in AOV, churn signal, support tickets; update model weekly.6) Validation & next steps- Validate model with pilot; update priors; run updated Monte Carlo; recommend go/no‑go and monitoring dashboard (live NPV estimate, retention cohorts, support volume).This framework gives transparent quantified tradeoffs, shows key levers, and communicates uncertainty so stakeholders can decide risk appetite and operational guardrails.