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UQO Working Paper No. 7 — Options-implied information for cross-asset return and volatility prediction: evidence from 3.8B option contracts.

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1======================================================================2EXTENDED DESCRIPTIVE STATISTICS3======================================================================45--- PANEL A: SUMMARY STATISTICS ---6                           count          mean           std          1%          50%           99%  skewness    kurtosis  pct_missing7iv_atm_30d              236475.0  2.406000e-01  1.155000e-01      0.0973       0.2125  6.548000e-01    2.2136     10.9243      10.55598iv_atm_90d              131476.0  2.438000e-01  1.036000e-01      0.1066       0.2196  6.097000e-01    1.8267      5.6194      50.27069iv_term_slope           124270.0  2.200000e-03  3.640000e-02     -0.1173       0.0077  7.010000e-02   -1.7042     49.6048      52.996210iv_skew_25d             228312.0  3.870000e-02  4.040000e-02     -0.0171       0.0343  1.447000e-01   16.0977    788.0617      13.643511implied_skewness        229856.0  3.812000e-01  2.965000e-01     -0.1329       0.3604  1.006400e+00   10.6375    386.8267      13.059512implied_kurtosis_proxy  236436.0  1.261300e+00  2.720000e-01      0.9974       1.2160  1.977700e+00   14.6684    469.4937      10.570613pc_volume_ratio         264365.0  1.283100e+00  4.314400e+00      0.1184       0.8453  7.682400e+00  117.6654  22206.9121       0.006814pc_oi_ratio             264360.0  1.155700e+00  7.231000e-01      0.3912       0.9838  3.463100e+00   41.6377   7371.4505       0.008715net_gamma_exposure      264383.0 -6.003201e+37  3.836201e+40 -78811.6665     624.4674  9.660499e+04  -33.7103  76626.1345       0.000016avg_vega_30d            244920.0 -1.941540e+31  8.519509e+33      0.0023       0.0464  2.601100e+00 -297.5322  99056.5173       7.361717avg_theta_30d           244919.0 -1.452216e+31  5.567072e+33     -1.0364      -0.0188 -1.300000e-03 -137.4559  75055.4690       7.362018total_option_volume     264383.0  9.984811e+04  2.668014e+05    542.0000   21782.0000  1.411186e+06    6.1936     55.5443       0.000019total_oi                264383.0  1.131088e+06  2.393080e+06  17757.1000  326245.0000  1.376502e+07    4.3150     21.7829       0.000020rv_daily                264383.0  4.000000e-04  1.500000e-03      0.0000       0.0002  3.800000e-03   65.0192   8080.4902       0.000021rvol_daily              264383.0  1.610000e-02  1.200000e-02      0.0040       0.0131  6.160000e-02    5.2504     78.3677       0.000022rv_weekly               264376.0  2.000000e-03  4.500000e-03      0.0001       0.0010  1.630000e-02   18.2732    687.8067       0.002623daily_return            264383.0  5.000000e-04  1.740000e-02     -0.0486       0.0006  4.850000e-02   -0.1369     16.5941       0.000024realized_skew           264383.0  1.047000e-01  1.760400e+00     -4.8883       0.0428  5.533800e+00    0.2373      3.9964       0.000025realized_kurt           264383.0  1.141450e+01  1.081380e+01      2.9512       7.7880  5.530910e+01    3.6147     21.0752       0.000026ret_1d                  264383.0  5.000000e-04  1.740000e-02     -0.0486       0.0006  4.850000e-02   -0.1369     16.5894       0.000027ret_5d                  264376.0  2.500000e-03  3.760000e-02     -0.1073       0.0035  1.035000e-01   -0.3666     11.4935       0.002628rv_fwd_1d               264383.0  4.000000e-04  1.500000e-03      0.0000       0.0002  3.800000e-03   65.0343   8083.1092       0.000029rv_fwd_5d               264376.0  2.000000e-03  4.500000e-03      0.0001       0.0010  1.630000e-02   18.2834    688.6317       0.00263031--- PANEL B: COVERAGE BY YEAR ---32      n_obs  n_tickers  avg_iv_atm    avg_rv  avg_skew   avg_ret   std_ret33year                                                                      342010  15218         62    0.264696  0.000547  0.049470  0.000471  0.017329352011  15569         62    0.282896  0.000563  0.061525 -0.000004  0.020206362012  15500         62    0.228746  0.000326  0.040406  0.000533  0.014915372013  15874         63    0.200215  0.000254  0.028301  0.001190  0.013839382014  16065         64    0.185413  0.000254  0.026055  0.000407  0.012904392015  16099         65    0.212680  0.000339  0.038343  0.000207  0.015066402016  16466         66    0.215971  0.000344  0.041839  0.000490  0.015395412017  16566         66    0.173390  0.000209  0.025553  0.000868  0.011458422018  16654         68    0.225917  0.000464  0.036186 -0.000083  0.017526432019  16882         68    0.216182  0.000276  0.040292  0.000988  0.015218442020  17125         68    0.346799  0.000966  0.061179  0.000695  0.027671452021  17254         69    0.245828  0.000301  0.033569  0.000899  0.015757462022  17229         69    0.312147  0.000542  0.056636 -0.000773  0.021792472023  17246         69    0.237981  0.000285  0.037973  0.000841  0.015617482024  17386         69    0.232136  0.000313  0.021159  0.000597  0.016418492025  17250         69    0.264178  0.000422  0.033779  0.000551  0.0196895051--- PANEL C: BY ASSET GROUP ---52  Group  N_obs  N_tickers   Date_min   Date_max  Mean_IV_ATM  Std_IV_ATM  Mean_RV  Mean_Skew  Mean_Ret_1d  Std_Ret_1d  Mean_PC_ratio53 Stocks 188093         49 2010-01-04 2025-12-31     0.266355    0.120010 0.000486   0.036146     0.000542    0.019017       0.89005454   ETFs  64256         17 2010-01-04 2025-12-31     0.178387    0.073895 0.000200   0.042540     0.000349    0.012498       2.34545855Indices  12034          3 2010-01-04 2025-12-31     0.182273    0.071067 0.000135   0.056217     0.000472    0.012897       1.75449056    All 264383         69 2010-01-04 2025-12-31     0.240597    0.115464 0.000401   0.038731     0.000492    0.017402       1.2831195758--- PANEL D: CORRELATION MATRIX ---59                        iv_atm_30d  iv_term_slope  iv_skew_25d  implied_skewness  implied_kurtosis_proxy  pc_volume_ratio  pc_oi_ratio  rv_daily  rv_weekly  ret_1d  ret_5d60iv_atm_30d                   1.000         -0.535        0.279            -0.228                  -0.243           -0.067       -0.153     0.330      0.503   0.021  -0.07261iv_term_slope               -0.535          1.000       -0.257             0.065                   0.157            0.010        0.064    -0.230     -0.317  -0.002   0.10262iv_skew_25d                  0.279         -0.257        1.000             0.484                   0.162            0.059        0.126     0.160      0.249   0.010  -0.10963implied_skewness            -0.228          0.065        0.484             1.000                   0.693            0.100        0.265    -0.034     -0.052  -0.004  -0.02764implied_kurtosis_proxy      -0.243          0.157        0.162             0.693                   1.000            0.050        0.134    -0.057     -0.080  -0.008   0.07165pc_volume_ratio             -0.067          0.010        0.059             0.100                   0.050            1.000        0.149    -0.013     -0.021  -0.002  -0.01666pc_oi_ratio                 -0.153          0.064        0.126             0.265                   0.134            0.149        1.000    -0.038     -0.069  -0.003  -0.00967rv_daily                     0.330         -0.230        0.160            -0.034                  -0.057           -0.013       -0.038     1.000      0.567   0.006  -0.07368rv_weekly                    0.503         -0.317        0.249            -0.052                  -0.080           -0.021       -0.069     0.567      1.000   0.009  -0.05269ret_1d                       0.021         -0.002        0.010            -0.004                  -0.008           -0.002       -0.003     0.006      0.009   1.000   0.43870ret_5d                      -0.072          0.102       -0.109            -0.027                   0.071           -0.016       -0.009    -0.073     -0.052   0.438   1.0007172--- PANEL E: AUTOCORRELATION STRUCTURE ---73lag                  1       5       10      2274variable                                       75daily_return    -0.0618 -0.0104 -0.0058 -0.029976iv_atm_30d       0.9593  0.8605  0.7526  0.537677iv_skew_25d      0.8320  0.7112  0.5930  0.416078pc_volume_ratio  0.2992  0.2182  0.1717  0.118079rv_daily         0.3197  0.2109  0.1387  0.05738081--- PANEL G: CROSS-SECTIONAL DISPERSION ---82      iv_atm_cs_std  skew_cs_std  rv_cs_std  ret_cs_std  n_tickers83year                                                              842010       0.097143     0.042235   0.002386    0.017329         62852011       0.124911     0.043633   0.001675    0.020206         62862012       0.107011     0.039278   0.000837    0.014915         62872013       0.104272     0.031329   0.000649    0.013839         63882014       0.084579     0.016429   0.001486    0.012904         64892015       0.091141     0.033292   0.001129    0.015066         65902016       0.100822     0.040095   0.001939    0.015395         66912017       0.083544     0.050258   0.001778    0.011458         66922018       0.104781     0.024853   0.002981    0.017526         68932019       0.091634     0.018423   0.001202    0.015218         68942020       0.164618     0.064908   0.002091    0.027671         68952021       0.101447     0.065147   0.000500    0.015757         69962022       0.110083     0.031943   0.000858    0.021792         69972023       0.094717     0.023991   0.000595    0.015617         69982024       0.101824     0.018979   0.000735    0.016418         69992025       0.110374     0.027993   0.001025    0.019689         69100101--- PANEL F: STATISTICS BY VIX REGIME ---102  [Panel F skipped — raw stores unavailable]103  Raw store 'index_5min.duckdb' not found under /Users/simon-pierreboucher/Desktop/wp7_uqo/data/raw.104These stores (~3.8B option records / 11.5B intraday bars) are kept outside the repository. Point WP7_RAW_DATA_DIR to the directory that contains them, or skip the raw-dependent steps — every downstream analysis runs from the processed parquets in data/processed/.105106--- PANEL H: OPTIONS DATA QUALITY ---107  [Panel H skipped — raw stores unavailable]108  Raw store 'options.duckdb' not found under /Users/simon-pierreboucher/Desktop/wp7_uqo/data/raw.109These stores (~3.8B option records / 11.5B intraday bars) are kept outside the repository. Point WP7_RAW_DATA_DIR to the directory that contains them, or skip the raw-dependent steps — every downstream analysis runs from the processed parquets in data/processed/.110111DESCRIPTIVE STATISTICS COMPLETE.112