The Rule of 72 (and Where It Breaks)
An 8% average return at rising volatility: compound rate and doubling timeranking ·
2026-10-09 · 8×3
Rule of 72 against the exact doubling time, by annual returnranking ·
2026-10-09 · 11×4
Average return against compound return, five price histories, 2015 through 2024ranking ·
2026-10-09 · 5×4
Ten-year US inflation rate and the time to halve a dollar's purchasing powertable ·
2026-10-09 · 26×4
Years to double: the Rule of 72 on the average against the compounded pathtable ·
2026-10-09 · 5×5
Local Volatility vs Implied Volatility
SPY at-the-money and downside implied volatility across expiry bands, September 2026ranking ·
2026-10-09 · 5×4
SPY implied volatility by strike distance from spot, 20 to 45 day expiries, September 2026ranking ·
2026-10-09 · 7×3
SPY at-the-money implied volatility and downside skew spread, week by week, 2026series ·
2026-10-09 · 39×4
Forward volatility embedded in the SPY monthly expiry curve, last week of September 2026series ·
2026-10-09 · 5×4
Highest IV Rank Stocks Right Now
Where IV percentile sits furthest above IV rank, latest sessiontable ·
2026-10-08 · 12×6
How the screened universe distributes across IV rank, latest sessiontable ·
2026-10-08 · 10×7
The top-ranked name's implied volatility by week, with its 52-week high and lowseries ·
2026-10-08 · 53×4
Highest IV rank, screened US underlyings, latest options sessionseries ·
2026-10-08 · 15×7
IV rank and IV percentile for twelve widely held tickers, latest sessionseries ·
2026-10-08 · 12×7
Why VIX Options Don't Track the VIX
SPY near-the-money implied volatility by distance to expirationranking ·
2026-10-04 · 6×3
How far the long tenor travels on days the front end jumpsranking ·
2026-10-04 · 5×4
Near-dated versus long-dated SPY implied volatility, session by sessionseries ·
2026-10-04 · 81×3
The near-to-far implied volatility gap across liquid namesranking ·
2026-10-04 · 6×4
Why Stocks Halt: Limit Up-Limit Down Bands
Where listed symbols sit by price, and which band rule governs each zoneranking ·
2026-10-04 · 6×3
Average minute range through the session, five liquid namesseries ·
2026-10-04 · 26×3
How far eight stocks move in a five minute window, trailing yearranking ·
2026-10-04 · 8×4
What a 5 percent band is worth in dollars, by price levelranking ·
2026-10-04 · 8×4
What Is VIX1D? The 1-Day Volatility Index
Implied daily move (IV / 16) against realized daily movement, SPY by monthseries ·
2026-10-04 · 14×5
SPY option volume by expiration through one session, June 17 2026series ·
2026-10-04 · 14×4
SPY near-the-money implied volatility by days to expiryranking ·
2026-10-04 · 8×2
SPY absolute daily move, median and 90th percentile by yearranking ·
2026-10-04 · 8×4
What Is a High VIX? Levels and Extremes
SPY realized volatility by calendar year, with the biggest day and the count of 2%+ sessionsranking ·
2026-10-04 · 23×4
SPY daily closes from the VIX record close (March 16, 2020) through March 27series ·
2026-10-04 · 10×4
SPY on August 5, 2024, in half-hour buckets (ET): the low and the close of eachseries ·
2026-10-04 · 13×3
SPY 30-day at-the-money implied volatility, sessions per VIX-style rungranking ·
2026-10-04 · 4×4
Volatility Targeting for Position Sizing
SPY realised volatility by month against a 10% targetseries ·
2026-10-04 · 72×4
What the lookback window costs in daily turnover (SPY, 10% target, 2x cap)ranking ·
2026-10-04 · 4×4
One 10% risk budget, six names, six different weightsranking ·
2026-10-04 · 6×4
Weekly realised volatility and the weight it implied, Nov 2019 to Apr 2020series ·
2026-10-04 · 25×4
How VIX Settlement Works: the SOQ
Listed versus traded strikes by moneyness (SPY, Sep 18 2026 expiry, as of Aug 14 2026)ranking ·
2026-10-04 · 10×3
Upcoming VIX settlement dates and the SPX expiry each one usesseries ·
2026-10-04 · 13×5
Average high to low range by minute, first half hour (SPY, trailing ~4 months)series ·
2026-10-04 · 30×3
Expirations three to six weeks out on a pinned session (SPY, Aug 14 2026)series ·
2026-10-04 · 3×4
TSLA Implied Volatility: IV Now & Its History
TSLA ATM implied volatility by time to expiration: latest sessionranking ·
2026-10-04 · 4×3
TSLA vs SPY and QQQ: median ATM implied volatility by month, since mid-2022series ·
2026-10-04 · 52×4
TSLA at-the-money implied volatility by session: trailing 90 daysseries ·
2026-10-04 · 63×2
The Low-Volatility Anomaly
Growth of $100: a calm name (KO), the market (SPY), a wild name (NVDA), weeklyseries ·
2026-10-04 · 114×4
Annualized volatility vs total return, 25 large caps, calmest to wildest (~2 years)ranking ·
2026-10-04 · 25×3
Volatility thirds: median return, and the range from worst to best name in eachtable ·
2026-10-04 · 3×6
SPY Implied Volatility: IV Now & Its History
SPY ATM implied volatility by time to expiration: latest sessionranking ·
2026-10-04 · 4×3
SPY vs QQQ: median ATM implied volatility by month, since mid-2022series ·
2026-10-04 · 52×3
SPY at-the-money implied volatility by session: trailing 90 daysseries ·
2026-10-04 · 63×2
QQQ Implied Volatility: IV Now & Its History
QQQ ATM implied volatility by time to expiration: latest sessionranking ·
2026-10-04 · 4×3
QQQ vs SPY: median ATM implied volatility by month, since mid-2022series ·
2026-10-04 · 52×3
QQQ at-the-money implied volatility by session: trailing 90 daysseries ·
2026-10-04 · 63×2
PLTR Implied Volatility: IV Now & Its History
PLTR ATM implied volatility by time to expiration: latest sessionranking ·
2026-10-04 · 4×3
PLTR vs SPY and QQQ: median ATM implied volatility by month, since mid-2022series ·
2026-10-04 · 52×4
PLTR at-the-money implied volatility by session: trailing 90 daysseries ·
2026-10-04 · 63×2
NVDA Implied Volatility: IV Now & Its History
NVDA ATM implied volatility by time to expiration: latest sessionranking ·
2026-10-04 · 4×3
NVDA vs SPY and QQQ: median ATM implied volatility by month, since mid-2022series ·
2026-10-04 · 52×4
NVDA at-the-money implied volatility by session: trailing 90 daysseries ·
2026-10-04 · 63×2
MSTR Implied Volatility: IV Now & Its History
MSTR ATM implied volatility by time to expiration: latest sessionranking ·
2026-10-04 · 4×3
MSTR vs SPY and QQQ: median ATM implied volatility by month, since mid-2022series ·
2026-10-04 · 52×4
MSTR at-the-money implied volatility by session: trailing 90 daysseries ·
2026-10-04 · 63×2
MSFT Implied Volatility: IV Now & Its History
MSFT ATM implied volatility by time to expiration: latest sessionranking ·
2026-10-04 · 4×3
MSFT vs SPY and QQQ: median ATM implied volatility by month, since mid-2022series ·
2026-10-04 · 52×4
MSFT at-the-money implied volatility by session: trailing 90 daysseries ·
2026-10-04 · 63×2
META Implied Volatility: IV Now & Its History
META ATM implied volatility by time to expiration: latest sessionranking ·
2026-10-04 · 4×3
META vs SPY and QQQ: median ATM implied volatility by month, since mid-2022series ·
2026-10-04 · 52×4
META at-the-money implied volatility by session: trailing 90 daysseries ·
2026-10-04 · 63×2
The Lowest-Volatility Stocks
The calmest large caps: annualized realized volatility over the past year, lowest firstranking ·
2026-10-04 · 15×2
Maximum drawdown of the calmest names: the worst peak-to-trough fall over the past yearranking ·
2026-10-04 · 8×2
IV Rank vs IV Percentile: Formulas Explained
IV rank vs IV percentile, eight liquid names, 52 week lookbacktable ·
2026-10-04 · 8×5
The same session scored at five different lookback windowsranking ·
2026-10-04 · 5×4
Current, 52 week low and 52 week high ATM IV for each nametable ·
2026-10-04 · 8×6
AAPL at the money implied volatility, weekly, trailing 52 weeksseries ·
2026-10-04 · 53×5
One stock, one session, three definitions of the IV inputtable ·
2026-10-04 · 3×6
Historical Volatility vs Implied Volatility
SPY: monthly implied volatility against the next month's realized volatilityseries ·
2026-10-04 · 18×4
Average implied volatility against next-month realized volatility, by nametable ·
2026-10-04 · 6×5
Annualized historical volatility over three lookback windowsranking ·
2026-10-04 · 6×4
AAPL realized volatility: 20-session against 60-session lookbackseries ·
2026-10-04 · 72×3
The Real Risk of One Stock
Annualized volatility: the S&P 500 index versus six single stocks (last ~250 sessions)ranking ·
2026-10-04 · 7×2
Same $100 invested: one single stock versus the S&P 500 index, indexed to 100series ·
2026-10-04 · 14×3
Maximum drawdown: deepest peak-to-trough drop over the last yearranking ·
2026-10-04 · 7×2
COIN Implied Volatility: IV Now & Its History
COIN ATM implied volatility by time to expiration: latest sessionranking ·
2026-10-04 · 4×3
COIN vs SPY and QQQ: median ATM implied volatility by month, since mid-2022series ·
2026-10-04 · 52×4
COIN at-the-money implied volatility by session: trailing 90 daysseries ·
2026-10-04 · 63×2
AMZN Implied Volatility: IV Now & Its History
AMZN ATM implied volatility by time to expiration: latest sessionranking ·
2026-10-04 · 4×3
AMZN vs SPY and QQQ: median ATM implied volatility by month, since mid-2022series ·
2026-10-04 · 52×4
AMZN at-the-money implied volatility by session: trailing 90 daysseries ·
2026-10-04 · 63×2
AMD Implied Volatility: IV Now & Its History
AMD ATM implied volatility by time to expiration: latest sessionranking ·
2026-10-04 · 4×3
AMD vs SPY and QQQ: median ATM implied volatility by month, since mid-2022series ·
2026-10-04 · 52×4
AMD at-the-money implied volatility by session: trailing 90 daysseries ·
2026-10-04 · 63×2
AAPL Implied Volatility: IV Now & Its History
AAPL ATM implied volatility by time to expiration: latest sessionranking ·
2026-10-04 · 4×3
AAPL vs SPY and QQQ: median ATM implied volatility by month, since mid-2022series ·
2026-10-04 · 52×4
AAPL at-the-money implied volatility by session: trailing 90 daysseries ·
2026-10-04 · 63×2
When Do VIX Futures Expire? 2026 Dates
The walk-back arithmetic, step by step, for four contractstable ·
2026-10-01 · 4×7
Contract months since 2015 that did not settle on a Wednesdaytable ·
2026-10-01 · 5×4
Days between consecutive VIX futures settlements, 2026 cycleseries ·
2026-10-01 · 12×3
VIX futures final settlement dates, 2026 monthly contractsseries ·
2026-10-01 · 12×5
Why Trading Volume Dies at Midday: U-Shape
Share of regular-session volume by half hour, SPY and AAPLseries ·
2026-09-28 · 13×3
Average one-minute SPY range in basis points, by half hourseries ·
2026-09-28 · 13×3
SPY open, midday and close volume against an average minute, by yearranking ·
2026-09-28 · 8×4
Open, midday and close volume against an average session minuteranking ·
2026-09-28 · 6×4
What Is the TTM Squeeze? Formula and Limits
Bollinger width against Keltner width, KO, first quarter 2026series ·
2026-09-27 · 61×5
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An 8% average return at rising volatility: compound rate and doubling time
An 8% average return at rising volatility: compound rate and doubling time
| annual_volatility | compound_return_pct | doubling_years |
|---|---|---|
| 0% | 8 | 9 |
| 5% | 7.88 | 9.1 |
| 10% | 7.5 | 9.6 |
| 15% | 6.88 | 10.4 |
| 20% | 6 | 11.9 |
| 25% | 4.88 | 14.6 |
| 30% | 3.5 | 20.1 |
| 35% | 1.88 | 37.3 |
the exact SQL behind every number
SELECT
concat(toString(vol_pct), '%') AS annual_volatility,
round(compound * 100, 2) AS compound_return_pct,
round(log(2) / log(1 + compound), 1) AS doubling_years
FROM
(
SELECT
vol_pct,
0.08 - 0.5 * pow(vol_pct / 100.0, 2) AS compound
FROM
(
SELECT arrayJoin([0, 5, 10, 15, 20, 25, 30, 35]) AS vol_pct
)
)
ORDER BY vol_pct ASC
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