To: Johnny Canuck who wrote (64162 ) 6/28/2025 4:57:12 AM From: Johnny Canuck Read Replies (1) | Respond to of 69233 ChatGPT: Test the hypothesis that recessions usually start 6 to 18 months after the fist rate cut by the Federal reserve after a period of extended tightening of interest rates. If true provide a timing model to predict the next recession after the September 2024 rate cut. Provide a train of though to the process. ChatGPT said: Thought for 24 seconds Here’s how we can test and model the “6–18-month lag” hypothesis: 1. Identify Fed “first cuts” after tightening Several well-documented episodes of extended Fed tightening ended, and the Fed then began cutting rates (“first cut”). A convenient summary identifies seven such “loosening cycles” since 1980: October 1984, June 1989, July 1995, September 1998, January 2001, September 2007, and July 2019 treasurefi.com . 2. Match to NBER recession onsets Of those seven cycles, four were followed by NBER-dated recessions: 3. Compute historical lags Lags (in months): {13, 2, 3, 7} Mean ˜ (13 + 7 + 3 + 2) / 4 = 6.25 months Median = (3 + 7)/2 = 5 months Standard deviation ˜ 4.3 months Only two of the four (1989 and 2019) fall within 6–18 months, so the hypothesis holds in 50% of these cases. 4. Fit a simple predictive model A normal approximation based on these four observations: Lag~N(µ=6.25, s=4.3)\text{Lag} \sim \mathcal{N}(\mu=6.25,\ \sigma=4.3)Lag~N(µ=6.25, s=4.3) Truncated at zero, this yields: Point estimate ˜ 6.3 months 68% confidence interval ˜ [2, 10.6] months 95% interval ˜ [0, 14.9] months 5. Apply to the September 2024 first cut Assuming the Fed’s next “first cut” comes in September 2024, our model implies: Most likely recession start: ~6 months later ? March 2025 Reasonable window (68%): between ~November 2024 and July 2025 Full range (95%): up through March 2026, though with rapidly diminishing probability beyond mid-2025 Conclusion: Historically the 6–18 month rule only held half the time; actual lags have ranged from 2 to 13 months with an average near 6 months. Accordingly, if September 2024 marks the first Fed cut, our timing model points to around March 2025 for a recession onset (±4 months), rather than as late as September 2025 or beyond. Sources