| 5.46 | 5.46% | 5.51 | 5.53 | 5,014 | 628.00 | 2.42 | 2.42% | 2.42 | 2.44 | 13,845 | 
                    
                | 
    
        QQQ Call 628.00
        Exp: Oct 31, 2025
        Last: 5.46
        Chg.: 5.46%
     
        SymbolQQQ|20251031|628.00C Delta0.6221 Imp Vol0.2946 Bid5.51 Gamma0.0391 Theoretical5.52 Ask5.53 Theta-1.8876 Intrinsic Value2.67 Volume5,014 Vega0.1255 Time Value2.79 Open Interest3,160 Rho0.0106 Delta / Theta-0.3296 
    
        QQQ Put 628.00
        Exp: Oct 31, 2025
        Last: 2.42
        Chg.: 2.42%
     
        SymbolQQQ|20251031|628.00P Delta-0.3732 Imp Vol0.2819 Bid2.42 Gamma0.0407 Theoretical2.42 Ask2.44 Theta-1.7406 Intrinsic Value-2.67 Volume13,845 Vega0.125 Time Value5.09 Open Interest5,070 Rho-0.0058 Delta / Theta0.2144 | 
                    
        | 4.72 | 4.72% | 4.85 | 4.87 | 9,355 | 629.00 | 2.8 | 2.8% | 2.76 | 2.78 | 11,620 | 
                    
                | 
    
        QQQ Call 629.00
        Exp: Oct 31, 2025
        Last: 4.72
        Chg.: 4.72%
     
        SymbolQQQ|20251031|629.00C Delta0.5836 Imp Vol0.2897 Bid4.85 Gamma0.0408 Theoretical4.86 Ask4.87 Theta-1.9023 Intrinsic Value1.67 Volume9,355 Vega0.1288 Time Value3.05 Open Interest1,948 Rho0.01 Delta / Theta-0.3068 
    
        QQQ Put 629.00
        Exp: Oct 31, 2025
        Last: 2.8
        Chg.: 2.8%
     
        SymbolQQQ|20251031|629.00P Delta-0.4136 Imp Vol0.278 Bid2.76 Gamma0.0425 Theoretical2.77 Ask2.78 Theta-1.7646 Intrinsic Value-1.67 Volume11,620 Vega0.1286 Time Value4.47 Open Interest2,258 Rho-0.0064 Delta / Theta0.2344 | 
                    
        | 4.26 | 4.26% | 4.23 | 4.26 | 15,953 | 630.00 | 3.16 | 3.16% | 3.14 | 3.16 | 29,929 | 
                    
                | 
    
        QQQ Call 630.00
        Exp: Oct 31, 2025
        Last: 4.26
        Chg.: 4.26%
     
        SymbolQQQ|20251031|630.00C Delta0.5427 Imp Vol0.2864 Bid4.23 Gamma0.0419 Theoretical4.26 Ask4.26 Theta-1.9093 Intrinsic Value0.67 Volume15,953 Vega0.131 Time Value3.59 Open Interest16,910 Rho0.0093 Delta / Theta-0.2843 
    
        QQQ Put 630.00
        Exp: Oct 31, 2025
        Last: 3.16
        Chg.: 3.16%
     
        SymbolQQQ|20251031|630.00P Delta-0.4561 Imp Vol0.2742 Bid3.14 Gamma0.0438 Theoretical3.16 Ask3.16 Theta-1.7689 Intrinsic Value-0.67 Volume29,929 Vega0.1309 Time Value3.83 Open Interest31,201 Rho-0.007 Delta / Theta0.2578 | 
                    
                |  | 630.67 | Price @ Oct 30, 2025 15:34 GMT | 
                        
        | 3.59 | 3.59% | 3.65 | 3.67 | 13,125 | 631.00 | 3.63 | 3.63% | 3.57 | 3.58 | 13,403 | 
                    
                | 
    
        QQQ Call 631.00
        Exp: Oct 31, 2025
        Last: 3.59
        Chg.: 3.59%
     
        SymbolQQQ|20251031|631.00C Delta0.5005 Imp Vol0.28 Bid3.65 Gamma0.0432 Theoretical3.66 Ask3.67 Theta-1.8753 Intrinsic Value-0.33 Volume13,125 Vega0.1317 Time Value3.92 Open Interest1,487 Rho0.0086 Delta / Theta-0.2669 
    
        QQQ Put 631.00
        Exp: Oct 31, 2025
        Last: 3.63
        Chg.: 3.63%
     
        SymbolQQQ|20251031|631.00P Delta-0.5003 Imp Vol0.2689 Bid3.57 Gamma0.045 Theoretical3.575 Ask3.58 Theta-1.7432 Intrinsic Value0.33 Volume13,403 Vega0.1317 Time Value3.3 Open Interest2,295 Rho-0.0076 Delta / Theta0.287 | 
                    
        | 3.13 | 3.13% | 3.12 | 3.14 | 12,955 | 632.00 | 4.08 | 4.08% | 4.03 | 4.05 | 28,750 | 
                    
                | 
    
        QQQ Call 632.00
        Exp: Oct 31, 2025
        Last: 3.13
        Chg.: 3.13%
     
        SymbolQQQ|20251031|632.00C Delta0.4567 Imp Vol0.2756 Bid3.12 Gamma0.0436 Theoretical3.13 Ask3.14 Theta-1.8333 Intrinsic Value-1.33 Volume12,955 Vega0.131 Time Value4.46 Open Interest2,297 Rho0.0078 Delta / Theta-0.2491 
    
        QQQ Put 632.00
        Exp: Oct 31, 2025
        Last: 4.08
        Chg.: 4.08%
     
        SymbolQQQ|20251031|632.00P Delta-0.5461 Imp Vol0.2641 Bid4.03 Gamma0.0455 Theoretical4.04 Ask4.05 Theta-1.6974 Intrinsic Value1.33 Volume28,750 Vega0.1308 Time Value2.75 Open Interest3,394 Rho-0.0083 Delta / Theta0.3217 | 
                    
        | 2.6 | 2.6% | 2.63 | 2.65 | 11,470 | 633.00 | 4.76 | 4.76% | 4.54 | 4.57 | 3,072 | 
                    
                | 
    
        QQQ Call 633.00
        Exp: Oct 31, 2025
        Last: 2.6
        Chg.: 2.6%
     
        SymbolQQQ|20251031|633.00C Delta0.412 Imp Vol0.2709 Bid2.63 Gamma0.0435 Theoretical2.64 Ask2.65 Theta-1.7665 Intrinsic Value-2.33 Volume11,470 Vega0.1285 Time Value4.93 Open Interest2,728 Rho0.007 Delta / Theta-0.2332 
    
        QQQ Put 633.00
        Exp: Oct 31, 2025
        Last: 4.76
        Chg.: 4.76%
     
        SymbolQQQ|20251031|633.00P Delta-0.5928 Imp Vol0.2595 Bid4.54 Gamma0.0454 Theoretical4.555 Ask4.57 Theta-1.63 Intrinsic Value2.33 Volume3,072 Vega0.1281 Time Value2.43 Open Interest2,099 Rho-0.0089 Delta / Theta0.3637 |