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Forecast Next Quarterly Revenue Growth

EasyStatistics & Probability00:00
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Problem

Business Context

FinEdge, a B2B SaaS company, tracks quarterly revenue growth to guide hiring and budget planning. The CFO wants a simple statistical forecast for next quarter based only on recent growth history.

Problem Statement

You are given the last 8 quarterly revenue growth rates. Estimate the expected growth rate for the next quarter and justify the method statistically.

Given Data

QuarterRevenue Growth
Q14.2%
Q25.1%
Q34.8%
Q45.4%
Q54.9%
Q65.3%
Q75.0%
Q85.2%

Assume quarterly growth rates are independent draws from a stable distribution with no trend or seasonality, and that a normal model is reasonable for short-term forecasting.

Requirements

  1. Compute the sample mean growth rate as the point forecast for next quarter.
  2. Compute the sample standard deviation of historical growth rates.
  3. Construct a 95% confidence interval for the population mean growth rate using the t-distribution.
  4. State the expected next-quarter growth rate and explain why the sample mean is appropriate under the assumptions.
  5. Briefly comment on whether the historical variability is low or high for planning purposes.

Assumptions

  • No structural break, trend, or seasonal pattern across these 8 quarters
  • Growth rates are measured consistently across quarters
  • Historical quarters are representative of the near future
  • Small sample size implies using the t-distribution rather than the normal approximation