etf-mechanicslisted
Install: claude install-skill howard-lynn-ye/fin-skills
# ETF mechanics
**An ETF is a fund with a share price. The index is a formula.** The two differ by five things a
price series never shows: the daily reset of a leveraged product, the gap between NAV and price,
cash that leaves as distributions, holdings that change, and fees. Every computed number below is
printed by `scripts/leveraged_reset.py` (numpy/pandas, seed 0). Issuer and regulator facts carry
the date they were read.
## 1. 🚨 "3x the index" is a one-day statement
✅ The issuer's own words (proshares.com, read 2026-09-08): TQQQ *"seeks daily investment results,
before fees and expenses, that correspond to three times (3x) the daily performance of the
Nasdaq-100 Index"*; SQQQ is the same sentence with *"three times the inverse (-3x)"*. Both pages
add: *"For any holding period other than a day, your return may be higher or lower than the Daily
Target. These differences may be significant."*
✅ FINRA Regulatory Notice 09-31 (2009-06-11): *"Most leveraged and inverse ETFs 'reset' daily"*.
Its example — index 100 → 101 → 100 costs an inverse ETF 0.02%; 100 → 110 → 100 costs it 1.82% —
is reproduced exactly by the script (§A: −1x on "+10% then back to flat" = **−1.82%**).
### A flat year is not free — but the honest size is smaller than the folklore
✅ §B: a random 252-day path whose realized vol is pinned and whose index return is **exactly 0**:
| ann. vol | 2x | **3x** | −1x | −3x |
|---|---|---|---|---|
| 16% (S&P-like) | −2.53% | **−7.40%** | −2.53% | −14.26% |
| 25