Slot Volatility Analyzer

Defaults are RTP 96 percent, Hit Frequency 25 percent, and Max Win 5000×. Submit. Volatility prints Medium and Volatility Index prints 2.89. The index is ((100 − 25) × log10(5000)) / 96. log10(5000) ≈ 3.699, times 75 is ≈ 277.42, divided by 96 is ≈ 2.890. The band rule is High if the index is greater than 3, Medium if greater than 1.5, otherwise Low. 2.89 sits in Medium, just under the High cut.

Raise Max Win to 20000 and keep 96 and 25. log10(20000) ≈ 4.301, times 75 is 322.57, over 96 is 3.36 → High. Drop Max Win to 200 with the original 25 and 96: log10(200) ≈ 2.301, times 75 is 172.57, over 96 is 1.80 → still Medium. Drop Hit Frequency to 10 with 96 and 5000×: miss mass is 90, 90 × 3.699 / 96 ≈ 3.47 → High. Raise Hit Frequency to 40: miss mass 60, 60 × 3.699 / 96 ≈ 2.31 → Medium.

RTP sits in the denominator. A 94% game with the same 25% hits and 5000× max scores slightly higher (more “volatile” on this heuristic) than 96%, because the same tail and miss rate are funded by a thinner mean. That is a quirk of the index, not a claim that lower RTP is always swingier. A 98% low-max game can still be Low: try RTP 98, hit 45, max 100 → (55 × 2) / 98 ≈ 1.12 → Low.

Hit Frequency is the chance a spin returns anything above zero, including tiny pays, not the bonus rate. If you type the bonus frequency (say 0.5%) by mistake, the miss mass becomes 99.5 and the index explodes into High even on a modest max win. Use base-game hit rate from the paytable or help file.

This analyser does not simulate a session and does not use the 1000-spin handle from the RTP estimator. Reload defaults (96, 25, 5000) to recover Medium at 2.89. Treat High/Medium/Low as a three-bucket label for comparing two published sheets, not as a moment-matched volatility σ.

Slot volatility is the size of swings around the RTP mean. Two games can share 96% return and feel unrelated: one dribbles small pays every few spins, the other withholds for hundreds of spins and dumps a feature. Hit frequency is a crude proxy for how often anything returns; max win is a crude proxy for how fat the right tail is. This analyser combines those two with RTP into a single heuristic index and a High/Medium/Low label.

The industry already uses “volatility” as marketing copy—low, medium, high, sometimes 1–5 pots of gold—without publishing variance, skewness, or the 99th percentile of a 200-spin session. Laboratories could compute those from the full PAR sheet. Players usually see three numbers: RTP, hit rate, max win. The calculator exists to mash those three into something comparable, while admitting it is not a full moment analysis.

History: mechanical fruiters had shallow paytables; video slots added free-spin features and 5000×+ caps; megaways and cluster titles pushed hit rates up while keeping bonus rarity high, which is why hit frequency alone misleads. A 35% hit-rate game can still be brutal if the hits are 0.2× line dribble and the feature is 1 in 400. Max win without hit rate misleads the other way: a 50,000× cap that never lands in practice is a lottery tail, not a typical night.

Limits: no standard deviation, no bonus frequency, no feature-win distribution, no buy-bonus price, no progressive contribution. The log10(maxWin) term grows slowly, so a jump from 5000× to 10,000× is less dramatic than a jump in miss rate from 75% to 90%. Thresholds 1.5 and 3 are design cuts for this site, not a regulator’s definition. A Medium label on the default 2.89 does not mean your 200-spin session will be calm.

Use the tool to rank two help-file sheets, not to predict a bankroll path. Pair it with the RTP estimator for the mean and the win-cycle calculator for geometric waiting times. None of those three will tell you whether the next spin is a bonus. They will tell you which published numbers imply a punchier tail under this heuristic.

Volatility on this page is a three-number heuristic, not laboratory variance. True per-spin variance is a sum over every prize and probability of squared deviation from the mean, and that sum needs the full paytable. Players usually see three published figures instead: return to player, hit frequency, and an advertised maximum win as a multiple of stake. The index used here is miss-rate points times the base-ten logarithm of the maximum win, all divided by return to player. Level is High if the index exceeds 3, Medium if it exceeds 1.5, otherwise Low. Defaults are return 96, hit frequency 25 percent, maximum win 5000. Miss-rate points are 75. Base-ten logarithm of 5000 is logarithm of five times ten to the three, which is 3 plus logarithm of five, approximately 3.6990. Product is about 277.425. Division by 96 is approximately 2.89, labelled Medium. Compact identity: ((100 − H) × log10 of the cap) / return-to-player = (75 × 3.6990) / 96 ≈ 2.89 Medium.

Interpretation of the three factors should be named before the label is trusted. Miss-rate points are one hundred minus hit frequency, the percentage of spins that return zero if hit frequency is defined as anything above zero. Larger miss mass raises the index. The logarithm compresses the advertised cap so that 10 times, 100 times, 1000 times, and 10,000 times sit on a linear-in-decades scale; a 5000 times cap is about 3.70 decades above one times. Dividing by return to player scales the same tail against a thinner or fatter mean. Units are invented. Only the cuts at 1.5 and 3 give them meaning here.

Worked crossings. Same 25 percent hits and 96 percent return, maximum win 20,000: logarithm about 4.301, index about 3.36, High. Maximum win 200: logarithm about 2.301, index about 1.80, still Medium. Hit frequency 10 percent with 5000 times and 96: miss mass 90, index about 3.47, High. Hit frequency 40 percent: miss mass 60, index about 2.31, Medium. Crossing into High with the default 25 percent hits requires logarithm of maximum win greater than 3 times 96 divided by 75, which is 3.84, hence a cap above about 6918 times. A 5000 times cap with 8 percent hits at 96 percent scores 92 times 3.699 divided by 96, about 3.54, High, matching the folklore that rare-hit high-cap titles swing harder than 25-percent-hit titles with the same advertised maximum.

Why this is not variance. Hit frequency lumps a 0.1 times dribble with a 100 times hit. A single maximum ignores the shape between zero and the cap. The index can therefore rank a dense 20 times game above a sparse 200 times game incorrectly, or vice versa. Laboratories could compute the second moment from a PAR sheet. This page does not have a PAR sheet.

Assumptions. Maximum win greater than zero so the logarithm is defined. Return to player greater than zero so the quotient exists. Hit frequency between 0 and 100. Independent of spin count and of stake, because the cap is a multiple of stake. Thresholds 1.5 and 3 are design cuts, not a regulator's definition. Treat High, Medium, and Low as a three-bucket comparison of help-file sheets, not as a moment-matched sigma and not as a forecast of a two-hundred-spin sitting.