# Most Volatile Stocks

> Most Volatile Stocks: stocks ranked by volatility metrics with price and volume filters.

Data as of Oct 23, 2026 (end of day). **Data is delayed**: the latest session is Nov 13, 2026. [Subscribe](https://www.optionistics.com/subscribe) to get the latest end-of-day data.

Report: Most Volatile Stocks. Filters: price $2.00 and up, stock volume 200,000 and up, implied volatility 0.01 to 6.00, option volume 1 and up; up to 100 rows. **Impl Vol** is a decimal (0.35 is 35%). **High/Low Chg** and **% Change**: the largest rise or fall of the stock from its report-date price through the latest session.

Change the view with query parameters: `minprice`, `maxprice`, `minvolume`, `maxvolume`, `minivol`, `maxivol` (decimal), `minoptvol`, `maxoptvol`, `limit` (20, 40 or 100), `date` (an earlier session, YYYY-MM-DD), `format=csv` (download). Example: `/screener/volatility/most-volatile-stocks.md?minprice=10&limit=20`.

How to read this report: [Volatility screener help](https://www.optionistics.com/help/volatility.md).

| Stock | Name | Volume | Option Volume | Price | Price Chg | Impl Vol | High/Low Chg | % Change |
|---|---|---:|---:|---:|---:|---:|---:|---:|
| [IVA](https://www.optionistics.com/quotes/stock-quotes/IVA.md) | VALUERICH INC | 4.71M | 180 | 3.71 | +0.11 | 3.43 | +0.56 | +15.1% |
| [PEPG](https://www.optionistics.com/quotes/stock-quotes/PEPG.md) | PEPG | 1.15M | 76 | 2.52 | -0.18 | 3.34 | +3.97 | +157.5% |
| [RCI](https://www.optionistics.com/quotes/stock-quotes/RCI.md) | ROGERS COMMUNICATION B NON-V | 1.76M | 111 | 32.39 | -0.81 | 3.25 | +2.60 | +8.0% |
| [ZURA](https://www.optionistics.com/quotes/stock-quotes/ZURA.md) | ZURA BIO LIMITED CLASS A | 5.81M | 8.13K | 3.36 | -0.17 | 3.09 | -2.43 | -72.2% |
| [CAPR](https://www.optionistics.com/quotes/stock-quotes/CAPR.md) | CAPRICOR THERAPEUTICS INC. CO | 1.44M | 2.71K | 5.93 | -0.20 | 2.94 | +5.30 | +89.4% |
| [GNLX](https://www.optionistics.com/quotes/stock-quotes/GNLX.md) | GENELUX CORPORATION | 648.69K | 1.76K | 2.00 | +0.02 | 2.57 | +0.27 | +13.5% |
| [CIFU](https://www.optionistics.com/quotes/stock-quotes/CIFU.md) | CIFU | 3.34M | 13 | 2.00 | -0.18 | 2.54 | -1.34 | -67.1% |
| [AAOZ](https://www.optionistics.com/quotes/stock-quotes/AAOZ.md) | TRADR 2X SHORT AAOI DAILY ETF | 804.49K | 36 | 23.43 | +0.21 | 2.47 | +18.57 | +79.3% |
| [ANNX](https://www.optionistics.com/quotes/stock-quotes/ANNX.md) | ANNX | 2.51M | 2.34K | 3.75 | -0.06 | 2.37 | +0.77 | +20.5% |
| [IREX](https://www.optionistics.com/quotes/stock-quotes/IREX.md) | IREX | 4.35M | 1.13K | 4.57 | -0.24 | 2.30 | -2.69 | -58.9% |
| [WULX](https://www.optionistics.com/quotes/stock-quotes/WULX.md) | WULX | 551.48K | 37 | 6.86 | -0.01 | 2.28 | +2.68 | +39.1% |
| [IREG](https://www.optionistics.com/quotes/stock-quotes/IREG.md) | LEVERAGE SHARES 2X LONG IREN D | 2.68M | 345 | 2.60 | -0.14 | 2.27 | -1.53 | -58.8% |
| [IREZ](https://www.optionistics.com/quotes/stock-quotes/IREZ.md) | IREZ | 792.92K | 5 | 22.76 | +1.07 | 2.26 | +13.12 | +57.6% |
| [CBRX](https://www.optionistics.com/quotes/stock-quotes/CBRX.md) | COLUMBIA LABORATORIES | 2.20M | 130 | 2.92 | +0.11 | 2.23 | -1.59 | -54.4% |
| [CWVX](https://www.optionistics.com/quotes/stock-quotes/CWVX.md) | CWVX | 2.49M | 591 | 5.36 | -0.27 | 2.20 | -2.61 | -48.7% |
| [AXTX](https://www.optionistics.com/quotes/stock-quotes/AXTX.md) | AXTX | 4.35M | 89 | 14.13 | +0.27 | 2.19 | -8.25 | -58.4% |
| [HUTG](https://www.optionistics.com/quotes/stock-quotes/HUTG.md) | LEVERAGE SHARES 2X LONG HUT DA | 205.27K | 815 | 5.76 | -0.55 | 2.17 | -3.46 | -60.1% |
| [AAOX](https://www.optionistics.com/quotes/stock-quotes/AAOX.md) | AAOX | 15.93M | 2.33K | 3.75 | -0.07 | 2.13 | -2.28 | -60.8% |
| [CRWU](https://www.optionistics.com/quotes/stock-quotes/CRWU.md) | CRWU | 263.20K | 40 | 12.47 | -0.59 | 2.13 | -6.09 | -48.8% |
| [CRWG](https://www.optionistics.com/quotes/stock-quotes/CRWG.md) | CROWDGATHER INC | 9.60M | 1.90K | 6.41 | -0.34 | 2.11 | -3.14 | -49.0% |
| [IRE](https://www.optionistics.com/quotes/stock-quotes/IRE.md) | GOVERNOR & CO BK IRELAND | 13.90M | 2.26K | 3.09 | -0.17 | 2.05 | -1.84 | -59.5% |
| [CORD](https://www.optionistics.com/quotes/stock-quotes/CORD.md) | CORD | 15.46M | 206 | 6.26 | +0.30 | 2.05 | -3.34 | -53.3% |
| [NBIG](https://www.optionistics.com/quotes/stock-quotes/NBIG.md) | LEVERAGE SHARES 2X LONG NBIS D | 2.79M | 834 | 7.64 | -0.07 | 1.98 | -4.69 | -61.4% |
| [RIOX](https://www.optionistics.com/quotes/stock-quotes/RIOX.md) | DEFIANCE DAILY TARGET 2X LONG | 212.53K | 26 | 8.26 | -0.53 | 1.97 | +9.15 | +110.8% |
| [LABX](https://www.optionistics.com/quotes/stock-quotes/LABX.md) | LABX | 545.17K | 623 | 7.46 | -0.05 | 1.93 | -4.30 | -57.6% |
| [ASTX](https://www.optionistics.com/quotes/stock-quotes/ASTX.md) | ASTEX PHARMACEUTICALS INC. CO | 7.65M | 894 | 4.05 | +0.20 | 1.91 | -2.25 | -55.4% |
| [HELP](https://www.optionistics.com/quotes/stock-quotes/HELP.md) | CYBIN INC. | 1.88M | 869 | 10.19 | -0.31 | 1.89 | -1.99 | -19.5% |
| [NEBX](https://www.optionistics.com/quotes/stock-quotes/NEBX.md) | NEBX | 1.59M | 1.12K | 11.39 | -0.02 | 1.89 | -7.02 | -61.6% |
| [SMCL](https://www.optionistics.com/quotes/stock-quotes/SMCL.md) | GRANITESHARES 2X LONG SMCI DAI | 430.96K | 86 | 11.69 | -0.61 | 1.87 | -5.14 | -43.9% |
| [SNDQ](https://www.optionistics.com/quotes/stock-quotes/SNDQ.md) | TRADR 2X SHORT SNDK DAILY ETF | 11.06M | 613 | 19.51 | +0.71 | 1.84 | +18.09 | +92.7% |
| [COHX](https://www.optionistics.com/quotes/stock-quotes/COHX.md) | COHX | 1.31M | 225 | 10.90 | +0.14 | 1.82 | -5.02 | -46.0% |
| [COHH](https://www.optionistics.com/quotes/stock-quotes/COHH.md) | LEVERAGE SHARES 2X LONG COHR D | 1.83M | 49 | 2.70 | +0.03 | 1.79 | -1.24 | -45.9% |
| [HIMZ](https://www.optionistics.com/quotes/stock-quotes/HIMZ.md) | DEFIANCE DAILY TARGET 2X LONG | 290.24K | 181 | 22.68 | -2.43 | 1.79 | -13.88 | -61.2% |
| [NRXP](https://www.optionistics.com/quotes/stock-quotes/NRXP.md) | NRX PHARMACEUTICALS INC | 829.57K | 623 | 2.49 | +0.09 | 1.78 | -0.38 | -15.3% |
| [APLX](https://www.optionistics.com/quotes/stock-quotes/APLX.md) | APLX | 4.18M | 618 | 3.57 | -0.35 | 1.77 | -1.95 | -54.6% |
| [ORIC](https://www.optionistics.com/quotes/stock-quotes/ORIC.md) | ORIC PHARMACEUTICALS INC. COMM | 1.39M | 100 | 13.17 | -0.46 | 1.77 | -5.34 | -40.5% |
| [CYPH](https://www.optionistics.com/quotes/stock-quotes/CYPH.md) | CYPHERPUNK TECHNOLOGIES INC. | 9.92M | 12.95K | 2.82 | -0.16 | 1.76 | -1.02 | -36.2% |
| [CTMX](https://www.optionistics.com/quotes/stock-quotes/CTMX.md) | CYTOMX THERAPEUTICS INC. COMMO | 4.37M | 38 | 2.32 | -0.12 | 1.74 | -0.42 | -18.1% |
| [SNXX](https://www.optionistics.com/quotes/stock-quotes/SNXX.md) | SNXX | 40.85M | 23.08K | 8.16 | -0.28 | 1.73 | -5.11 | -62.6% |
| [OKLL](https://www.optionistics.com/quotes/stock-quotes/OKLL.md) | DEFIANCE DAILY TARGET 2X LONG | 1.66M | 1.28K | 4.56 | -0.24 | 1.72 | -2.43 | -53.3% |
| [RGC](https://www.optionistics.com/quotes/stock-quotes/RGC.md) | REGAL ENTERTAINMENT GR | 473.63K | 232 | 7.67 | -2.14 | 1.70 | -2.96 | -38.6% |
| [CRCA](https://www.optionistics.com/quotes/stock-quotes/CRCA.md) | CONNECTICUT RIVER COMM | 270.14K | 138 | 18.36 | -0.31 | 1.68 | -9.69 | -52.8% |
| [LEUX](https://www.optionistics.com/quotes/stock-quotes/LEUX.md) | LEUX | 215.48K | 31 | 3.65 | -0.10 | 1.67 | -1.22 | -33.4% |
| [ACRS](https://www.optionistics.com/quotes/stock-quotes/ACRS.md) | ACLARIS THERAPEUTICS INC. COMM | 2.28M | 952 | 3.75 | -0.08 | 1.66 | +0.65 | +17.3% |
| [SMCX](https://www.optionistics.com/quotes/stock-quotes/SMCX.md) | DEFIANCE DAILY TARGET 2X LONG | 3.10M | 1.08K | 8.30 | -0.44 | 1.66 | -3.68 | -44.3% |
| [XNDU](https://www.optionistics.com/quotes/stock-quotes/XNDU.md) | XNDU | 4.10M | 1.60K | 2.64 | -0.07 | 1.65 | +0.61 | +23.1% |
| [SVRA](https://www.optionistics.com/quotes/stock-quotes/SVRA.md) | SAVARA INC. COMMON STOCK | 2.81M | 649 | 4.22 | -0.32 | 1.64 | +0.99 | +23.3% |
| [LITX](https://www.optionistics.com/quotes/stock-quotes/LITX.md) | LITX | 3.13M | 1.67K | 19.20 | +0.15 | 1.63 | +12.41 | +64.6% |
| [TROO](https://www.optionistics.com/quotes/stock-quotes/TROO.md) | TROOPS INC. ORDINARY SHARES | 1.25M | 32 | 2.35 | +0.03 | 1.62 | -1.11 | -47.2% |
| [QBTX](https://www.optionistics.com/quotes/stock-quotes/QBTX.md) | QBTX | 279.16K | 28 | 10.65 | +0.02 | 1.62 | -5.38 | -50.5% |
| [CRDU](https://www.optionistics.com/quotes/stock-quotes/CRDU.md) | CRDU | 10.77M | 1.88K | 4.84 | -1.12 | 1.61 | -2.38 | -49.2% |
| [UVIX](https://www.optionistics.com/quotes/stock-quotes/UVIX.md) | UVIX | 2.92M | 15.56K | 40.56 | +0.91 | 1.61 | +12.82 | +31.6% |
| [KTUP](https://www.optionistics.com/quotes/stock-quotes/KTUP.md) | KTUP | 451.65K | 73 | 3.29 | +0.07 | 1.61 | -1.19 | -36.2% |
| [KORU](https://www.optionistics.com/quotes/stock-quotes/KORU.md) | DIREXION DAILY SOUTH KOREA BUL | 25.95M | 18.77K | 10.58 | +0.39 | 1.60 | -4.12 | -38.9% |
| [SNDG](https://www.optionistics.com/quotes/stock-quotes/SNDG.md) | LEVERAGE SHARES 2X LONG SNDK D | 6.05M | 442 | 5.02 | -0.20 | 1.59 | -3.19 | -63.5% |
| [BEZ](https://www.optionistics.com/quotes/stock-quotes/BEZ.md) | BALDOR ELECTRIC CO | 7.91M | 231 | 8.87 | +1.63 | 1.59 | -3.86 | -43.5% |
| [SKYA](https://www.optionistics.com/quotes/stock-quotes/SKYA.md) | SKYDECK ACQUISITION CORP. CLAS | 1.08M | 119 | 2.89 | +0.02 | 1.58 | -0.60 | -20.8% |
| [BEX](https://www.optionistics.com/quotes/stock-quotes/BEX.md) | BEX | 10.35M | 4.59K | 16.48 | -4.76 | 1.58 | -6.96 | -42.3% |
| [CLSX](https://www.optionistics.com/quotes/stock-quotes/CLSX.md) | CLSX | 409.96K | 6 | 4.36 | -0.36 | 1.58 | -2.48 | -56.9% |
| [RGTX](https://www.optionistics.com/quotes/stock-quotes/RGTX.md) | REGISTERED EXPRESS C | 1.74M | 116 | 4.73 | +0.01 | 1.58 | -1.95 | -41.2% |
| [APPX](https://www.optionistics.com/quotes/stock-quotes/APPX.md) | APP PHARMACEUTICALS INC | 350.40K | 152 | 8.47 | -0.28 | 1.57 | +10.85 | +128.1% |
| [VIVO](https://www.optionistics.com/quotes/stock-quotes/VIVO.md) | MERIDIAN BIOSCIENCES INC | 562.01K | 472 | 2.42 | +0.14 | 1.57 | -0.99 | -41.1% |
| [CSEX](https://www.optionistics.com/quotes/stock-quotes/CSEX.md) | CSEX | 206.32K | 67 | 7.66 | -0.55 | 1.56 | -3.61 | -47.1% |
| [BEG](https://www.optionistics.com/quotes/stock-quotes/BEG.md) | LEVERAGE SHARES 2X LONG BE DAI | 1.43M | 753 | 22.74 | -6.71 | 1.56 | -9.63 | -42.3% |
| [CRCG](https://www.optionistics.com/quotes/stock-quotes/CRCG.md) | LEVERAGE SHARES 2X LONG CRCL D | 1.13M | 117 | 12.43 | -0.23 | 1.54 | -6.51 | -52.4% |
| [XP](https://www.optionistics.com/quotes/stock-quotes/XP.md) | XP INC. CL A | 12.30M | 102.33K | 30.41 | +1.06 | 1.54 | -16.63 | -54.7% |
| [WGS](https://www.optionistics.com/quotes/stock-quotes/WGS.md) | GENEDX HC. CLASS A | 2.49M | 12.12K | 56.15 | -10.99 | 1.53 | +15.35 | +27.3% |
| [AXTI](https://www.optionistics.com/quotes/stock-quotes/AXTI.md) | AXT INC | 7.06M | 16.42K | 52.08 | +0.52 | 1.52 | -15.52 | -29.8% |
| [SNDU](https://www.optionistics.com/quotes/stock-quotes/SNDU.md) | T-REX 2X LONG SNDK DAILY TARGE | 3.32M | 774 | 12.51 | -0.49 | 1.52 | -7.96 | -63.6% |
| [JBLU](https://www.optionistics.com/quotes/stock-quotes/JBLU.md) | JETBLUE AIRWAYS CORP | 28.83M | 121.56K | 2.63 | -0.02 | 1.52 | +1.46 | +55.7% |
| [STIM](https://www.optionistics.com/quotes/stock-quotes/STIM.md) | ENDOSTIM INC. COMMON STOCK   I | 600.33K | 4 | 2.11 | +0.03 | 1.52 | +0.94 | +44.5% |
| [RDTL](https://www.optionistics.com/quotes/stock-quotes/RDTL.md) | GRANITESHARES 2X LONG RDDT DAI | 427.04K | 133 | 10.97 | -0.92 | 1.51 | -7.66 | -69.8% |
| [CONL](https://www.optionistics.com/quotes/stock-quotes/CONL.md) | GRANITESHARES 1.5X LONG COINBA | 12.85M | 8.30K | 4.32 | -0.26 | 1.50 | -1.93 | -44.7% |
| [BMNU](https://www.optionistics.com/quotes/stock-quotes/BMNU.md) | BMNU | 3.38M | 596 | 14.22 | -0.18 | 1.49 | -6.34 | -44.6% |
| [CLYM](https://www.optionistics.com/quotes/stock-quotes/CLYM.md) | CLYM | 495.47K | 8 | 10.19 | -0.35 | 1.49 | +2.25 | +22.1% |
| [IONX](https://www.optionistics.com/quotes/stock-quotes/IONX.md) | DEFIANCE DAILY TARGET 2X LONG | 447.06K | 92 | 12.92 | +0.07 | 1.49 | -5.20 | -40.2% |
| [STXU](https://www.optionistics.com/quotes/stock-quotes/STXU.md) | LEVERAGE SHARES 2X LONG STX DA | 274.93K | 53 | 6.11 | -0.23 | 1.49 | -3.22 | -52.7% |
| [LXP](https://www.optionistics.com/quotes/stock-quotes/LXP.md) | LEXINGTON REALTY TRUST | 1.12M | 14 | 61.10 | +0.01 | 1.49 | +0.09 | +0.1% |
| [STXL](https://www.optionistics.com/quotes/stock-quotes/STXL.md) | DEFIANCE DAILY TARGET 2X LONG | 217.87K | 32 | 16.00 | -0.63 | 1.49 | -8.45 | -52.8% |
| [IONL](https://www.optionistics.com/quotes/stock-quotes/IONL.md) | GRANITESHARES 2X LONG IONQ DAI | 432.32K | 50 | 7.26 | +0.06 | 1.48 | -2.90 | -40.0% |
| [SHMD](https://www.optionistics.com/quotes/stock-quotes/SHMD.md) | SHMD | 814.41K | 1.61K | 2.71 | -0.08 | 1.48 | -0.62 | -22.9% |
| [HTZ](https://www.optionistics.com/quotes/stock-quotes/HTZ.md) | HERTZ GLOBAL HOLDINGS | 22.92M | 117.61K | 2.04 | -0.14 | 1.48 | -0.56 | -27.5% |
| [MSTX](https://www.optionistics.com/quotes/stock-quotes/MSTX.md) | MAST THERAPEUTICS INC.       P | 4.62M | 7.55K | 15.75 | +0.03 | 1.47 | -7.54 | -47.9% |
| [ARMG](https://www.optionistics.com/quotes/stock-quotes/ARMG.md) | LEVERAGE SHARES 2X LONG ARM DA | 397.48K | 132 | 10.60 | -0.03 | 1.44 | -4.58 | -43.2% |
| [ALT](https://www.optionistics.com/quotes/stock-quotes/ALT.md) | ISHARES DIVERSIFIED ALTERNAT | 2.56M | 4.22K | 2.12 | -0.05 | 1.43 | -0.54 | -25.5% |
| [SOXS](https://www.optionistics.com/quotes/stock-quotes/SOXS.md) | DIREXION DAILY SEMICONDCT BE | 60.79M | 57.60K | 52.46 | -0.99 | 1.43 | +28.99 | +55.3% |
| [ARKO](https://www.optionistics.com/quotes/stock-quotes/ARKO.md) | ARKO CORP. COMMON STOCK | 525.98K | 64 | 3.81 | -0.28 | 1.43 | +0.53 | +14.0% |
| [NAUT](https://www.optionistics.com/quotes/stock-quotes/NAUT.md) | NAUTILUS BIOTECHNOLOGY INC | 13.44M | 5.61K | 3.24 | +0.64 | 1.42 | -1.25 | -38.6% |
| [IMXI](https://www.optionistics.com/quotes/stock-quotes/IMXI.md) | INTERNATIONAL MONEY EXPRESS IN | 467.02K | 1.34K | 9.30 | -0.21 | 1.42 | -3.47 | -37.3% |
| [NUAI](https://www.optionistics.com/quotes/stock-quotes/NUAI.md) | NEW ERA ENERGY & DIGITAL INC. | 10.39M | 11.80K | 2.96 | +0.19 | 1.41 | -1.39 | -47.0% |
| [CIG](https://www.optionistics.com/quotes/stock-quotes/CIG.md) | COMPANHIA ENER MINAS GER | 4.98M | 1 | 2.30 | +0.02 | 1.41 | -0.53 | -23.0% |
| [SKDD](https://www.optionistics.com/quotes/stock-quotes/SKDD.md) | GRANITESHARES 2X SHORT SK HYNI | 2.52M | 48 | 11.67 | -1.03 | 1.41 | -4.32 | -37.0% |
| [MSTU](https://www.optionistics.com/quotes/stock-quotes/MSTU.md) | MSTU | 3.11M | 2.67K | 34.28 | -0.01 | 1.40 | -16.29 | -47.5% |
| [BRUN](https://www.optionistics.com/quotes/stock-quotes/BRUN.md) | BOOST RUN INC. CLASS A COMMON | 2.54M | 13.31K | 7.23 | -0.26 | 1.40 | -2.23 | -30.8% |
| [CCXI](https://www.optionistics.com/quotes/stock-quotes/CCXI.md) | CHEMOCENTRYX INC. COMMON STOC | 2.61M | 4.01K | 10.26 | -0.01 | 1.39 | -2.26 | -22.0% |
| [RZLT](https://www.optionistics.com/quotes/stock-quotes/RZLT.md) | REZOLUTE INC | 1.20M | 1.33K | 3.86 | +0.00 | 1.39 | +0.75 | +19.4% |
| [BTQ](https://www.optionistics.com/quotes/stock-quotes/BTQ.md) | MORG STAN LEV S&P 500 | 1.11M | 107 | 2.00 | -0.04 | 1.38 | -0.62 | -31.0% |
| [PRLD](https://www.optionistics.com/quotes/stock-quotes/PRLD.md) | PRELUDE THERAPEUTICS INCORPORA | 288.54K | 53 | 3.63 | +0.03 | 1.38 | +0.62 | +17.1% |
| [WVE](https://www.optionistics.com/quotes/stock-quotes/WVE.md) | WAVE LIFE SCIENCES LTD. ORDINA | 2.65M | 162 | 3.18 | -0.17 | 1.38 | +0.68 | +21.4% |
| [SOXL](https://www.optionistics.com/quotes/stock-quotes/SOXL.md) | DIREXION DAILY SEMICONDCT BU | 90.37M | 466.90K | 83.56 | +1.45 | 1.37 | -42.97 | -51.4% |

## Other volatility reports

- [Least Volatile Stocks](https://www.optionistics.com/screener/volatility/least-volatile-stocks.md)
- [Most Volatile Options](https://www.optionistics.com/screener/volatility/volatile-options.md)
- [Implied Volatility Change by Stock](https://www.optionistics.com/screener/volatility/implied-volatility-change.md)
- [Implied Volatility Increase by Stock](https://www.optionistics.com/screener/volatility/implied-volatility-increase.md)
- [Implied Volatility Decrease by Stock](https://www.optionistics.com/screener/volatility/implied-volatility-decrease.md)
- [Sudden Rise in IV](https://www.optionistics.com/screener/volatility/implied-volatility-rise.md)
- [Sudden Drop in IV](https://www.optionistics.com/screener/volatility/implied-volatility-drop.md)
- [Implied Volatility / Historical Volatility](https://www.optionistics.com/screener/volatility/iv-hv-ratio.md)
- [Historical Volatility / Implied Volatility](https://www.optionistics.com/screener/volatility/hv-iv-ratio.md)

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