Exercise - Forecasting with Fundamentals#

1. Carry Strategy for Dividend Yield#

In this exercise, we consider the dividend-yield of individual stocks in order to invest in high-carry securities.

Note that we could consider the full analysis below with other metrics, including the PE ratio provided in the same data set.

Data#

Use the data in data/spx_data_weekly.xlsx.

  • spx data - time-series data for price, dividend-price ratio, and price-earnings ratio

  • sector data - ETFs on sub-sectors

  • additional data - SPY, SHV, and other benchmarks

  • rates data - index levels for rates

Risk-free rate could be

  • SHV

  • USGG3M Index - annualized percent

import pandas as pd

FILE_DATA = '../data/spx_data_weekly.xlsx'
SHEET_INFO = 'spx names'

info = pd.read_excel(FILE_DATA,sheet_name=SHEET_INFO)
info.set_index('ticker',inplace=True)
info.rename(columns={'security_name':'security name'},inplace=True)

display(info)
name gics_sector_name mkt cap
ticker
A Agilent Technologies Inc Health Care 4.162353e+10
AAPL Apple Inc Information Technology 4.025226e+12
ABBV AbbVie Inc Health Care 4.106695e+11
ABNB Airbnb Inc Consumer Discretionary 7.510938e+10
ABT Abbott Laboratories Health Care 2.270793e+11
... ... ... ...
XYZ Block Inc Financials 3.675158e+10
YUM Yum! Brands Inc Consumer Discretionary 4.137582e+10
ZBH Zimmer Biomet Holdings Inc Health Care 1.781850e+10
ZBRA Zebra Technologies Corp Information Technology 1.218683e+10
ZTS Zoetis Inc Health Care 5.324455e+10

503 rows × 3 columns

def load_ts(file_data,sheet_name):
    ts = pd.read_excel(file_data,sheet_name=sheet_name,
                    header=[0,1],                  
                    index_col=0)
                    
    ts.columns.names = ["ticker","field"]

    ts.rename(columns={
        'PX_LAST':'price',
        'EQY_DVD_YLD_IND':'dvd yld',
        'PE_RATIO':'pe ratio'
    }, level=1, inplace=True)

    return ts
SHEET_TS = 'spx data'
spx = load_ts(FILE_DATA,SHEET_TS)
display(spx.tail().style.format('{:.2f}',na_rep='').format_index(lambda x: x.strftime('%Y-%m-%d')))
ticker A AAPL ABBV ABNB ABT ACGL ACN ADBE ADI ADM ADP ADSK AEE AEP AES AFL AIG AIZ AJG AKAM ALB ALGN ALL ALLE AMAT AMCR AMD AME AMGN AMP AMT AMZN ANET AON AOS APA APD APH APO APP APTV ARE ATO AVB AVGO AVY AWK AXON AXP AZO BA BAC BALL BAX BBY BDX BEN BF/B BG BIIB BK BKNG BKR BLDR BLK BMY BR BRK/B BRO BSX BX BXP C CAG CAH CARR CAT CB CBOE CBRE CCI CCL CDNS CDW CEG CF CFG CHD CHRW CHTR CI CINF CL CLX CMCSA CME CMG CMI CMS CNC CNP COF COIN COO COP COR COST CPAY CPB CPRT CPT CRL CRM CRWD CSCO CSGP CSX CTAS CTRA CTSH CTVA CVS CVX D DAL DASH DAY DD DDOG DE DECK DELL DG DGX DHI DHR DIS DLR DLTR DOC DOV DOW DPZ DRI DTE DUK DVA DVN DXCM EA EBAY ECL ED EFX EG EIX EL ELV EME EMR EOG EPAM EQIX EQR EQT ERIE ES ESS ETN ETR EVRG EW EXC EXE EXPD EXPE EXR F FANG FAST FCX FDS FDX FE FFIV FICO FIS FISV FITB FOX FOXA FRT FSLR FTNT FTV GD GDDY GE GEHC GEN GEV GILD GIS GL GLW GM GNRC GOOG GOOGL GPC GPN GRMN GS GWW HAL HAS HBAN HCA HD HIG HII HLT HOLX HON HOOD HPE HPQ HRL HSIC HST HSY HUBB HUM HWM IBKR IBM ICE IDXX IEX IFF INCY INTC INTU INVH IP IPG IQV IR IRM ISRG IT ITW IVZ J JBHT JBL JCI JKHY JNJ JPM K KDP KEY KEYS KHC KIM KKR KLAC KMB KMI KO KR KVUE L LDOS LEN LH LHX LII LIN LKQ LLY LMT LNT LOW LRCX LULU LUV LVS LW LYB LYV MA MAA MAR MAS MCD MCHP MCK MCO MDLZ MDT MET META MGM MHK MKC MLM MMC MMM MNST MO MOH MOS MPC MPWR MRK MRNA MS MSCI MSFT MSI MTB MTCH MTD MU NCLH NDAQ NDSN NEE NEM NFLX NI NKE NOC NOW NRG NSC NTAP NTRS NUE NVDA NVR NWS NWSA NXPI O ODFL OKE OMC ON ORCL ORLY OTIS OXY PANW PAYC PAYX PCAR PCG PEG PEP PFE PFG PG PGR PH PHM PKG PLD PLTR PM PNC PNR PNW PODD POOL PPG PPL PRU PSA PSX PTC PWR PYPL QCOM RCL REG REGN RF RJF RL RMD ROK ROL ROP ROST RSG RTX RVTY SBAC SBUX SCHW SHW SJM SLB SMCI SNA SNPS SO SOLV SPG SPGI SRE STE STLD STT STX STZ SW SWK SWKS SYF SYK SYY T TAP TDG TDY TECH TEL TER TFC TGT TJX TKO TMO TMUS TPL TPR TRGP TRMB TROW TRV TSCO TSLA TSN TT TTD TTWO TXN TXT TYL UAL UBER UDR UHS ULTA UNH UNP UPS URI USB V VICI VLO VLTO VMC VRSK VRSN VRTX VST VTR VTRS VZ WAB WAT WBD WDAY WDC WEC WELL WFC WM WMB WMT WRB WSM WST WTW WY WYNN XEL XOM XYL XYZ YUM ZBH ZBRA ZTS
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date                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        
2025-05-30 111.46 0.89 22.02 200.43 0.52 28.26 183.20 3.58 23.72 129.00 32.71 132.39 1.78 20.35 95.04 9.91 313.20 1.89 24.69 415.09 26.58 212.17 1.87 31.69 47.86 4.26 12.32 322.24 1.91 32.98 296.12 54.89 95.48 2.97 20.43 101.84 3.65 16.12 9.83 7.16 5.61 102.98 2.25 14.63 83.70 2.15 19.41 201.43 1.59 14.32 346.00 0.75 43.00 75.93 20.98 55.10 2.94 180.94 27.73 207.84 1.92 12.96 141.76 1.44 19.40 156.30 1.18 17.05 8.97 5.68 16.05 110.73 72.05 178.14 0.70 29.16 285.86 3.33 24.84 505.86 1.27 18.48 211.11 3.22 34.21 205.01 33.67 86.64 37.56 370.49 0.80 29.18 63.66 2.14 17.40 16.60 6.03 3.13 275.32 2.60 23.45 89.65 0.74 41.29 130.21 1.57 20.20 393.00 64.19 66.81 13.88 67.85 7.78 25.28 153.88 2.26 21.38 203.15 3.45 39.65 241.09 0.98 61.29 175.82 2.14 18.91 141.25 2.34 25.73 750.36 415.11 292.57 1.12 20.43 3733.04 25.27 207.32 43.63 2.38 12.88 53.18 1.50 19.11 30.29 2.25 21.47 64.54 5.89 10.32 170.63 2.44 12.02 21.05 6.08 11.76 32.81 2.76 16.95 77.47 3.61 9.72 129.79 11.19 87.71 2.14 13.92 5499.95 0.70 34.25 36.68 2.51 15.93 107.68 12.30 970.15 2.15 23.22 47.01 5.28 9.21 241.00 1.46 29.42 503.96 112.49 0.53 31.40 105.26 47.72 136.71 2.72 41.00 65.75 5.96 74.38 3.01 11.51 22.02 6.36 8.99 153.47 1.33 18.77 70.72 1.27 38.56 345.77 1.63 16.52 295.19 1.31 14.17 228.42 1.10 27.29 125.02 26.71 98.18 4.33 33.63 23.22 12.23 287.07 63.15 179.69 1.39 19.83 305.78 0.51 32.68 89.64 2.23 11.89 39.64 4.24 12.39 97.66 1.21 28.04 94.88 2.61 19.94 396.27 10.17 313.54 1.93 14.09 149.08 2.33 26.53 91.77 2.27 24.99 129.20 3.78 19.10 33.90 3.89 9.06 286.31 1.75 28.85 50.08 43.47 319.85 2.28 15.87 69.20 3.14 20.43 56.44 8.37 37.03 2.38 23.29 188.64 1.27 15.00 246.62 24.40 68.28 24.22 84.65 3.69 10.67 290.22 0.76 23.51 1037.27 0.50 58.68 325.11 21.03 33.21 4.70 11.19 51.48 33.89 115.26 3.64 78.51 135.63 20.62 264.49 0.63 38.20 471.37 62.29 2.63 22.30 73.56 265.38 31.46 1.65 18.56 225.50 0.69 51.47 23.89 3.68 12.70 80.63 1.54 16.56 70.46 0.97 33.73 62.84 4.23 12.60 135.20 5.06 18.99 56.03 4.77 18.03 48.07 1.25 8.32 208.65 160.66 59.08 140.44 27.79 5.90 9.58 117.88 253.75 502.91 1.29 24.21 105.52 16.54 110.42 1.90 15.61 96.17 2.45 18.35 171.79 1.86 20.56 117.39 1.36 8.74 189.26 0.68 34.46 112.56 0.89 22.36 169.14 2.89 324.85 90.26 7.40 16.83 7.25 77.53 177.24 1.16 23.21 27.34 10.24 24.30 470.18 1.48 27.48 211.01 2.65 21.46 134.47 3.24 18.62 115.71 3.61 18.56 136.26 14.49 29.84 3.22 6.12 85.80 55.60 143.62 0.53 30.23 72.94 1.59 17.23 264.33 0.98 42.99 103.63 3.28 18.56 263.65 0.76 46.07 345.18 2.32 44.03 53.95 6.14 6.01 66.68 2.10 32.28 380.08 1.80 11.08 471.47 0.21 20.85 118.40 1.78 29.20 106.65 3.83 9.06 174.49 22.30 883.43 2.12 71.83 68.70 4.03 53.98 54.80 1.15 30.37 355.55 1.54 30.27 64.08 4.70 16.11 278.63 3.69 60.53 318.41 1.31 30.37 82.18 2.92 22.22 65.80 4.06 17.27 78.22 30.14 43.06 3.72 15.96 113.82 2.02 54.15 111.96 1.38 18.60 166.44 0.96 17.55 147.87 4.38 37.00 10.13 5.93 6.78 132.67 3.01 8.35 40.93 2.15 40.88 38.22 1.57 29.78 456.92 0.96 31.89 215.32 2.56 11.86 41.11 4.33 14.98 285.38 26.35 1726.28 80.35 78.76 2.03 22.23 162.79 23.23 37.52 3.94 11.12 50.03 1.08 54.69 0.99 12.12 93.32 4.71 32.82 158.08 12.73 101.78 47.45 52.81 0.61 22.25 275.86 2.17 19.13 182.15 32.97 245.25 0.59 47.39 70.48 0.20 13.61 28.37 1.76 22.09 472.58 0.21 63.91 108.55 2.91 16.01 52.95 4.53 12.63 121.36 0.89 9.62 49.22 2.28 39.72 49.33 1.22 3.97 122.13 18.46 172.49 0.49 171.38 0.49 20.70 124.57 3.31 16.93 75.15 1.33 11.15 201.31 1.79 26.56 597.25 2.01 13.76 1082.41 0.84 27.50 19.28 3.53 6.90 66.13 4.23 17.08 15.34 4.04 11.84 379.97 0.76 16.49 363.95 2.53 24.69 128.81 1.61 12.38 221.97 2.43 17.86 248.31 0.24 35.08 62.17 18.00 211.19 2.14 22.36 66.15 38.35 17.06 3.05 8.17 24.37 4.75 8.23 30.01 3.86 21.46 69.99 16.73 15.12 5.29 18.04 159.47 3.44 19.02 388.43 1.36 25.72 231.46 1.53 11.38 169.68 0.24 31.22 52.35 0.61 29.29 255.91 2.63 24.43 178.82 1.07 31.23 513.36 47.45 179.45 1.58 25.98 75.65 2.12 32.41 65.06 123.13 19.55 751.08 0.55 57.69 33.07 3.51 39.53 46.77 3.96 46.05 23.34 5.66 9.34 140.33 17.00 81.60 0.10 34.23 97.15 3.23 96.05 552.34 87.85 436.42 26.97 242.10 2.48 21.43 14.19 5.92 12.38 126.03 1.02 21.63 138.05 1.27 24.09 167.95 0.19 22.35 100.63 1.47 30.52 180.52 1.29 30.75 154.08 3.37 18.25 261.46 2.14 12.63 81.46 2.80 21.60 33.14 2.78 18.84 15.69 5.23 157.04 39.67 26.34 6.07 8.90 20.77 4.81 27.19 121.30 0.61 50.48 755.24 1.01 24.69 141.03 3.57 24.47 27.44 4.26 23.32 71.05 2.87 24.66 67.52 1.90 15.29 23.35 3.51 24.04 89.23 0.28 12.57 147.80 1.08 14.61 105.17 1.90 8.42 248.33 1.16 21.46 242.07 1.98 24.12 561.75 0.93 24.86 464.61 1.29 29.62 40.09 2.99 13.31 734.97 0.82 42.21 475.61 2.78 17.36 61.28 3.31 20.54 223.44 2.15 18.83 80.43 1.14 22.51 316.67 21.45 33.00 2.18 28.13 40.80 2.45 19.11 55.09 2.69 19.72 53.84 10.18 10.35 137.19 27.82 584.04 0.52 38.85 153.32 3.95 40.84 263.16 1.02 30.31 61.83 2.01 15.47 310.32 2.28 26.52 57.64 3.16 399.63 717.94 0.40 20.20 478.46 0.79 38.16 66.49 2.83 18.83 81.68 3.48 18.76 77.43 2.93 9.43 646.56 0.32 25.17 31.65 12.76 100.61 10.82 71.80 2.51 24.99 546.02 0.58 32.57 231.62 1.41 27.17 147.04 1.99 15.60 63.95 39.18 58.63 6.96 14.87 305.04 13.99 35.68 2.47 107.67 159.85 2.28 24.37 659.34 0.95 59.03 75.33 4.30 10.43 26.56 126.38 2.93 14.83 560.46 1.28 39.05 459.60 0.72 35.42 413.35 1.05 33.52 179.94 3.00 12.01 29.60 2.57 14.65 1155.52 28.62 94.31 0.49 16.56 17.65 9.60 83.05 1.30 35.74 210.44 1.48 24.93 69.54 3.26 19.48 52.55 1.90 12.54 1207.23 56.87 39.02 2.87 20.84 59.88 2.67 27.72 480.57 1.92 20.82 1011.09 134.11 155.09 1.13 22.72 244.74 2.21 18.75 98.25 2.12 17.00 105.33 2.85 9.00 108.46 2.03 13.30 135.11 0.03 43.40 7115.93 14.64 32.62 0.61 36.79 28.14 0.71 31.74 189.37 2.14 17.66 55.06 5.85 37.32 159.60 0.70 29.97 78.60 5.24 15.14 72.07 3.88 9.34 42.02 12.24 164.89 1.21 37.26 91.17 33.51 94.45 1.78 24.10 40.34 2.38 11.13 192.42 130.95 258.67 0.58 36.90 155.22 2.78 31.21 93.23 1.42 14.13 16.82 0.59 13.73 79.76 3.16 20.93 128.76 4.42 16.07 22.69 7.58 9.28 76.38 3.98 167.56 2.52 24.10 284.70 0.14 19.00 661.69 1.09 28.60 97.66 0.90 6.78 190.81 2.62 19.72 106.62 3.79 41.11 131.78 559.23 177.57 3.04 28.85 170.75 3.75 11.91 98.72 1.01 23.12 89.40 4.00 17.77 325.03 94.73 297.98 1.68 27.56 109.25 2.49 13.77 34.21 3.19 19.56 102.57 5.26 6.49 302.19 3.97 30.02 112.37 4.27 32.71 168.32 45.85 342.39 0.12 54.10 70.28 14.27 143.52 2.48 15.10 255.46 1.17 19.73 70.75 3.99 34.17 489.54 0.72 12.90 20.98 4.77 10.09 146.08 1.37 13.82 275.06 1.33 22.78 243.70 0.87 27.19 314.34 1.67 33.07 56.91 1.16 56.55 568.49 0.58 43.22 139.32 1.16 22.54 255.97 0.91 38.81 135.88 2.00 23.72 90.29 0.31 33.05 229.47 1.93 26.67 82.80 2.95 28.08 87.84 1.23 26.25 357.20 0.88 34.21 110.39 3.91 12.82 32.51 3.51 9.64 40.02 21.64 318.63 2.69 16.83 463.98 47.64 89.29 3.31 21.26 73.09 17.12 159.06 5.28 24.31 511.97 0.75 38.58 77.36 3.34 15.37 244.00 0.93 34.23 122.16 1.64 15.84 94.90 3.20 10.71 116.95 2.46 20.23 175.88 2.32 13.20 42.38 4.07 27.74 63.87 5.14 12.00 68.39 4.09 15.04 57.17 2.10 7.84 380.96 0.88 34.05 72.02 3.00 16.45 27.23 4.08 10.70 52.60 3.57 9.91 1373.96 43.52 498.86 31.49 48.33 0.66 39.44 159.50 1.78 26.89 78.52 0.61 23.71 38.57 5.39 10.23 91.84 4.88 11.19 126.13 1.35 30.96 156.85 0.97 60.24 402.04 0.43 22.65 241.35 1.46 23.09 1110.52 0.58 55.53 77.91 1.80 14.40 155.95 2.56 22.72 71.27 46.29 91.22 5.57 10.13 273.46 1.61 14.54 48.22 1.91 25.49 346.46 180.86 55.66 3.59 14.34 428.35 0.88 36.13 75.22 91.73 226.28 179.93 3.02 35.37 73.99 0.11 13.47 576.99 86.56 79.44 6.84 84.16 39.89 40.51 4.25 148.70 189.94 0.42 10.64 471.46 18.30 297.90 2.82 11.27 220.28 2.43 19.85 95.73 6.85 11.99 705.52 1.01 22.86 42.66 4.69 10.52 363.83 0.65 36.30 30.85 5.61 12.32 127.92 3.53 22.75 100.81 0.44 28.33 264.18 0.74 36.37 313.15 0.57 48.69 271.69 1.13 33.21 442.05 39.33 160.19 0.56 34.61 63.35 3.03 239.06 8.69 5.52 9.16 42.53 6.37 9.49 201.82 0.50 30.00 349.24 31.00 9.97 247.71 94.64 51.39 0.78 10.68 105.72 3.38 20.77 153.00 1.75 144.41 73.95 2.16 13.50 239.24 1.38 34.09 59.50 3.36 31.44 98.49 0.95 39.27 74.00 0.43 18.15 160.57 1.64 18.25 210.51 0.40 31.65 314.75 1.17 20.65 25.70 3.27 51.70 90.33 1.11 16.87 68.98 3.31 20.01 100.48 3.94 13.41 125.69 1.27 29.57 61.75 38.71 143.24 1.98 26.05 91.71 1.05 17.98 289.77 27.02 167.48 1.19 27.96
2025-06-06 115.33 0.86 22.78 203.49 0.51 28.69 186.86 3.51 24.20 140.64 35.66 132.39 1.78 20.35 95.53 9.96 314.03 1.89 24.75 416.92 26.69 221.38 1.79 33.07 47.02 4.34 12.10 323.50 1.90 33.11 297.86 55.21 94.65 3.00 20.25 100.17 3.71 15.86 10.61 6.63 6.06 103.12 2.25 14.65 86.37 2.08 20.03 201.92 1.58 14.35 328.05 0.79 40.77 77.03 21.29 59.12 2.74 180.62 27.68 206.04 1.94 12.85 138.23 1.48 18.91 166.26 1.11 18.13 8.97 5.68 16.05 116.19 75.61 177.75 0.70 29.09 287.99 3.31 25.03 515.18 1.24 18.82 209.04 3.25 33.88 213.57 35.08 97.25 42.16 369.50 0.81 29.10 63.69 2.14 17.41 18.05 5.54 3.41 276.18 2.59 23.52 93.07 0.71 42.86 132.96 1.53 20.63 417.89 68.26 66.64 13.84 68.18 7.74 25.40 151.39 2.30 21.03 199.59 3.51 38.96 245.93 0.96 62.52 178.87 2.10 19.24 138.37 2.39 25.20 791.85 438.06 300.95 1.09 21.02 3719.24 25.17 210.80 44.72 2.33 13.21 53.53 1.49 19.24 30.05 2.26 21.30 71.10 5.34 11.37 171.48 2.43 12.08 21.28 6.02 11.89 27.67 3.27 14.29 73.90 3.79 9.27 133.13 11.48 89.40 2.10 14.19 5604.96 0.69 34.90 37.52 2.45 16.30 111.63 12.75 984.40 2.12 23.56 47.13 5.26 9.24 243.50 1.45 29.72 493.53 110.16 0.54 30.75 102.09 46.28 138.37 2.69 41.50 72.38 5.42 77.29 2.90 11.96 21.54 6.50 8.79 153.74 1.33 18.80 70.56 1.28 38.48 351.05 1.61 16.77 291.83 1.33 14.01 221.92 1.14 26.51 128.57 27.47 96.81 4.39 33.16 24.28 12.78 296.95 65.33 177.57 1.41 19.60 298.44 0.52 31.90 91.06 2.20 12.07 40.65 4.13 12.70 98.41 1.20 28.25 95.34 2.60 20.04 396.45 10.17 310.61 1.94 13.96 149.29 2.33 26.56 89.10 2.33 24.27 125.09 3.90 18.50 34.02 3.88 9.09 271.69 1.84 27.38 52.50 45.57 324.91 2.24 16.12 68.97 3.15 20.36 55.16 8.18 36.40 2.42 22.89 197.60 1.21 15.71 251.27 24.86 72.33 25.65 86.51 3.61 10.91 287.93 0.76 23.33 1012.10 0.51 57.26 337.46 21.82 33.64 4.64 11.33 50.13 33.00 113.63 3.70 77.40 144.70 22.00 273.60 0.61 39.52 468.41 65.27 2.51 23.37 78.52 283.28 32.10 1.62 18.94 226.65 0.69 51.74 25.13 3.50 13.36 79.92 1.55 16.42 71.47 0.95 34.21 62.38 4.26 12.51 138.67 4.93 19.48 55.14 4.84 17.75 50.62 1.19 8.76 218.45 168.21 60.42 143.63 28.34 5.79 9.77 122.16 262.97 516.55 1.25 24.87 109.22 17.12 112.88 1.86 15.96 112.23 2.10 21.42 172.78 1.85 20.68 120.06 1.33 8.94 195.36 0.66 35.57 113.42 0.88 22.53 174.38 2.80 334.92 94.50 7.75 16.68 7.31 76.86 178.94 1.15 23.43 28.14 9.95 25.00 464.61 1.50 27.15 214.28 2.61 21.79 131.71 3.31 18.23 113.26 3.69 18.16 137.90 14.67 31.84 3.01 6.53 86.67 56.17 149.41 0.51 31.45 78.36 1.48 18.51 265.77 0.98 43.22 100.78 3.37 18.04 267.76 0.75 46.79 344.18 2.32 43.91 52.11 6.35 5.81 68.20 2.05 33.01 389.51 1.76 11.35 488.42 0.20 21.60 122.49 1.72 30.21 112.04 3.64 9.52 178.23 22.78 908.88 2.06 73.90 67.09 4.13 52.71 56.05 1.12 31.07 368.62 1.48 31.38 64.75 4.65 16.28 273.91 3.75 59.50 329.60 1.26 31.44 81.07 2.96 21.92 64.64 4.13 16.97 77.52 29.87 41.88 3.82 15.52 115.01 2.00 54.72 112.36 1.37 18.66 176.22 0.91 18.58 146.58 4.42 36.67 10.01 6.00 6.71 138.60 2.89 8.72 41.65 2.11 41.59 41.20 1.46 32.10 431.08 1.02 30.09 216.81 2.55 11.94 39.84 4.47 14.52 295.43 27.28 1775.10 82.62 80.36 1.99 22.68 166.71 23.79 38.71 3.82 11.47 49.54 1.09 54.12 1.00 12.00 94.24 4.67 33.14 166.35 13.40 104.94 48.92 54.95 0.58 23.15 273.87 2.19 18.99 182.95 33.12 254.95 0.56 49.27 71.55 0.20 13.81 29.21 1.71 22.75 484.59 0.21 65.54 110.90 2.85 16.36 53.45 4.49 12.75 121.19 0.89 9.61 50.33 2.23 40.62 47.35 1.27 3.81 127.96 19.34 174.55 0.48 173.31 0.48 20.93 124.36 3.31 16.90 76.40 1.31 11.34 205.75 1.75 27.14 610.73 1.96 14.07 1089.18 0.83 27.67 20.37 3.34 7.29 65.74 4.26 16.98 15.92 3.90 12.28 382.91 0.75 16.61 365.26 2.52 24.78 128.82 1.61 12.38 225.38 2.40 18.13 252.67 0.24 35.70 64.33 18.63 213.16 2.12 22.57 74.88 43.41 17.88 2.91 8.56 24.65 4.70 8.32 29.99 3.87 21.45 70.37 16.82 15.38 5.20 18.35 160.52 3.41 19.15 394.11 1.34 26.09 229.05 1.55 11.27 175.15 0.23 32.23 52.89 0.60 29.59 265.60 2.53 25.35 177.70 1.08 31.03 524.91 48.51 181.83 1.56 26.32 75.98 2.11 32.56 68.77 130.15 20.06 769.13 0.54 59.08 32.57 3.56 38.93 46.32 3.99 45.61 22.78 5.80 9.11 152.32 18.45 83.08 0.10 34.85 100.60 3.12 99.46 557.08 88.60 422.55 26.11 244.55 2.45 21.64 14.12 5.95 12.32 127.39 1.00 21.87 139.41 1.26 24.33 176.56 0.18 23.50 103.03 1.44 31.24 181.19 1.28 30.87 153.90 3.38 18.23 263.18 2.13 12.72 81.46 2.80 21.60 32.25 2.85 18.33 16.16 5.08 161.95 40.91 26.34 6.07 8.90 20.76 4.82 27.17 123.24 0.60 51.29 806.25 0.94 26.35 132.25 3.81 22.94 27.54 4.25 23.41 70.31 2.90 24.41 65.47 1.96 14.82 21.26 3.86 21.88 89.08 0.28 12.55 147.42 1.09 14.57 107.60 1.86 8.62 253.32 1.14 21.89 243.20 1.97 24.24 549.71 0.95 24.32 471.21 1.27 30.04 38.72 3.10 12.85 767.07 0.78 44.05 478.20 2.76 17.46 59.56 3.41 19.97 222.98 2.15 18.79 85.97 1.07 24.06 265.27 17.97 33.10 2.18 28.21 39.87 2.51 18.67 54.99 2.69 19.68 55.22 9.92 10.62 144.15 29.23 588.55 0.52 39.15 146.71 4.13 39.08 264.95 1.01 30.52 62.59 1.98 15.66 305.62 2.32 26.12 64.80 2.81 449.28 712.04 0.40 20.04 488.07 0.77 38.92 65.17 2.88 18.46 86.07 3.30 19.77 78.76 2.88 9.59 696.70 0.30 27.13 31.86 12.85 101.52 10.92 73.28 2.46 25.50 550.58 0.57 32.84 228.00 1.43 26.75 144.21 2.02 15.30 63.41 38.84 57.30 7.12 14.54 296.88 13.61 34.56 2.55 104.30 159.23 2.29 24.28 684.42 0.91 61.27 77.42 4.18 10.71 27.46 130.12 2.84 15.27 565.05 1.27 39.36 469.61 0.71 36.19 415.87 1.05 33.72 182.77 2.95 12.20 31.48 2.41 15.58 1184.34 29.33 108.39 0.42 19.03 19.56 10.64 85.10 1.27 36.62 213.19 1.46 25.25 71.61 3.16 20.06 52.19 1.92 12.46 1241.47 58.48 38.76 2.89 20.70 62.48 2.56 28.92 487.49 1.90 21.12 1030.21 136.64 155.13 1.13 22.73 248.36 2.17 19.02 105.28 1.98 18.22 107.24 2.80 9.17 120.57 1.82 14.79 141.70 0.03 45.52 7116.53 14.64 31.75 0.63 35.81 27.72 0.72 31.26 205.77 1.97 19.19 54.72 5.89 37.08 160.03 0.70 30.06 79.45 5.19 15.30 70.10 3.99 9.08 50.17 14.62 173.35 1.15 39.18 91.85 33.76 95.16 1.77 24.28 42.08 2.28 11.61 199.60 135.84 265.28 0.57 37.85 157.06 2.75 31.58 92.88 1.42 14.07 15.59 0.64 12.72 78.94 3.19 20.71 128.77 4.42 16.07 22.56 7.63 9.22 76.22 3.99 161.78 2.61 23.27 279.10 0.14 18.62 668.22 1.08 28.88 99.85 0.88 6.93 194.00 2.58 20.05 106.81 3.78 41.18 127.72 542.00 178.69 3.02 29.03 175.48 3.65 12.24 99.09 1.01 23.21 87.30 4.10 17.36 311.77 90.86 294.50 1.70 27.24 111.03 2.45 13.99 33.51 3.25 19.16 104.24 5.18 6.60 296.81 4.04 29.49 113.17 4.24 32.94 170.34 46.40 361.17 0.11 57.06 73.43 14.91 148.40 2.40 15.62 275.50 1.09 21.28 70.61 3.99 34.10 492.47 0.71 12.97 21.84 4.58 10.50 145.85 1.37 13.80 273.06 1.34 22.62 251.08 0.84 28.02 323.09 1.62 33.99 57.43 1.15 57.06 571.09 0.58 43.42 143.01 1.13 23.13 251.68 0.92 38.16 138.49 1.96 24.18 91.83 0.30 33.62 223.32 1.99 25.96 88.41 2.76 29.98 87.75 1.23 26.23 355.88 0.89 34.09 108.69 3.97 12.62 33.60 3.39 9.96 41.55 22.47 319.54 2.68 16.88 486.00 49.90 87.57 3.38 20.85 74.84 17.53 158.12 5.31 24.17 518.46 0.74 39.07 75.64 3.41 15.03 242.52 0.94 34.02 132.57 1.51 17.19 97.21 3.13 10.97 125.90 2.29 21.78 169.60 2.41 12.73 42.37 4.07 27.73 65.40 5.02 12.28 70.93 3.95 15.59 58.72 2.04 8.06 382.20 0.88 34.16 73.50 2.94 16.79 27.51 4.04 10.81 51.51 3.65 9.71 1371.58 43.45 500.67 31.61 48.62 0.66 39.68 164.07 1.73 27.66 85.14 0.56 25.71 39.71 5.24 10.53 95.08 4.71 11.59 127.67 1.33 31.34 164.93 0.92 63.34 401.12 0.43 22.60 245.00 1.44 23.44 1111.35 0.58 55.57 78.65 1.78 14.54 165.01 2.42 24.04 72.22 46.91 91.90 5.53 10.20 271.47 1.62 14.43 50.75 1.81 26.83 295.14 154.07 54.82 3.65 14.12 427.95 0.88 36.10 71.46 87.15 232.72 189.35 2.87 37.23 75.53 0.11 13.75 576.22 86.44 84.23 7.25 85.60 40.58 40.15 4.28 147.40 189.18 0.42 10.59 465.64 18.08 299.19 2.95 11.31 222.04 2.41 20.00 96.43 6.80 12.08 703.79 1.02 22.80 43.81 4.57 10.81 368.84 0.64 36.80 30.62 5.65 12.23 127.31 3.55 22.64 100.06 0.44 28.12 263.92 0.74 36.34 318.59 0.56 49.53 284.20 1.08 34.74 450.50 40.08 173.21 0.52 37.42 62.72 3.06 236.68 8.61 5.57 9.08 42.38 6.40 9.46 205.72 0.49 30.58 351.17 31.17 9.82 252.72 96.56 55.39 0.72 11.50 103.91 3.44 20.42 153.17 1.75 144.57 75.49 2.12 13.78 235.45 1.40 33.55 59.55 3.36 31.47 97.24 0.97 38.78 73.54 0.44 18.04 156.63 1.69 17.80 224.33 0.37 33.73 307.48 1.20 20.18 26.51 3.17 53.34 83.11 1.20 15.52 67.42 3.38 19.56 102.41 3.87 13.67 126.33 1.27 29.72 64.99 40.74 144.13 1.97 26.21 91.92 1.04 18.02 295.36 27.54 169.00 1.18 28.21
2025-06-13 116.60 0.85 23.03 196.04 0.53 27.64 188.09 3.49 24.36 135.54 34.37 134.42 1.76 20.66 90.99 9.49 308.15 1.92 24.29 391.68 25.08 224.14 1.77 33.48 51.56 3.96 13.27 305.23 2.02 31.24 292.16 54.15 95.02 2.99 20.33 101.26 3.67 16.03 11.15 6.31 6.36 101.63 2.28 14.44 84.12 2.14 19.50 197.43 1.62 14.03 315.95 0.82 39.26 77.03 21.29 60.39 2.68 177.85 27.25 197.94 2.02 12.35 134.91 1.51 18.46 170.10 1.08 18.55 8.96 5.69 16.03 116.16 75.59 176.67 0.70 28.92 292.84 3.25 25.45 498.35 1.28 18.21 212.92 3.19 34.50 212.10 34.84 92.35 40.04 351.49 0.85 27.68 63.16 2.15 17.26 20.50 4.88 3.87 276.76 2.59 23.57 92.20 0.72 42.46 131.63 1.55 20.42 364.49 59.53 67.25 13.97 69.71 7.57 25.97 152.20 2.29 21.14 202.57 3.46 39.54 247.69 0.95 62.96 173.67 2.17 18.68 139.74 2.37 25.45 780.63 431.86 286.34 1.15 20.00 3642.60 24.65 200.32 43.85 2.37 12.95 54.16 1.48 19.46 30.41 2.24 21.55 67.77 5.61 10.84 171.28 2.43 12.06 21.57 5.93 12.05 26.23 3.45 13.55 80.70 3.47 10.12 130.65 11.27 87.70 2.14 13.92 5289.27 0.73 32.94 38.65 2.38 16.79 111.29 12.71 967.25 2.15 23.15 48.44 5.12 9.49 236.26 1.49 28.84 487.54 106.23 0.56 29.65 99.74 45.21 134.39 2.77 40.31 70.41 5.57 75.41 2.97 11.67 20.75 6.75 8.47 160.40 1.27 19.61 70.76 1.27 38.58 354.73 1.70 16.95 285.81 1.36 13.72 225.12 1.12 26.90 132.97 28.41 97.29 4.37 33.33 22.41 11.80 300.00 66.00 169.78 1.47 18.74 296.53 0.52 31.70 98.75 2.03 13.09 39.62 4.24 12.38 96.44 1.22 27.69 93.09 2.66 19.57 388.72 9.97 315.81 1.91 14.20 144.67 2.41 25.74 89.12 2.33 24.27 120.57 4.05 17.83 34.33 3.85 9.17 268.22 1.86 27.03 50.24 43.60 317.91 2.29 15.78 69.49 3.12 20.52 55.22 8.19 36.16 2.43 22.74 192.31 1.25 15.29 242.71 24.01 69.70 24.72 96.17 3.24 12.13 294.50 0.75 23.86 987.44 0.53 55.86 323.25 20.91 31.99 4.88 10.78 48.59 31.99 113.91 3.69 77.60 149.45 22.73 257.54 0.65 37.20 480.62 63.32 2.59 22.68 81.16 292.80 31.99 1.63 18.87 221.00 0.71 50.44 26.23 3.35 13.94 78.60 1.58 16.15 72.25 0.94 34.59 66.19 4.02 13.27 144.30 4.74 20.27 54.88 4.87 17.66 46.73 1.28 8.09 218.96 168.60 57.08 135.69 27.82 5.89 9.59 120.45 259.29 506.21 1.28 24.37 101.48 15.91 108.73 1.93 15.37 110.45 2.14 21.08 178.60 1.79 21.38 122.38 1.31 9.11 200.00 0.64 36.42 117.44 0.85 23.33 173.24 2.82 332.74 95.19 7.81 16.80 7.26 77.39 176.03 1.17 23.05 29.47 9.50 26.19 450.41 1.55 25.85 214.25 2.61 21.79 133.06 3.28 18.42 114.86 3.64 18.42 136.12 14.48 34.87 2.75 7.15 81.99 53.13 148.32 0.51 31.22 77.12 1.50 18.22 262.93 0.99 42.76 103.11 3.30 18.46 263.75 0.76 46.09 332.67 2.40 42.44 46.84 7.07 5.22 67.05 2.09 32.45 382.46 1.79 11.15 477.53 0.21 21.12 124.51 1.69 30.71 123.07 3.32 10.45 170.75 21.82 887.23 2.11 72.14 67.46 4.11 53.01 56.50 1.12 31.31 353.81 1.54 30.12 64.48 4.67 16.21 279.18 3.68 60.65 321.85 1.29 30.70 80.99 2.96 21.90 67.36 3.96 17.68 75.15 28.95 42.50 3.77 15.75 114.14 2.02 54.31 114.26 1.35 18.98 165.32 0.97 17.43 146.35 4.43 36.62 10.17 5.90 6.82 152.75 2.62 9.61 41.75 2.11 41.70 40.66 1.48 31.68 418.67 1.05 29.22 221.52 2.62 12.20 39.54 4.50 14.41 286.61 26.47 1784.57 83.06 78.89 2.03 22.26 163.02 23.26 37.31 3.97 11.06 49.05 1.10 53.44 1.01 11.85 93.14 4.72 32.75 175.20 14.11 100.83 47.01 52.24 0.61 22.01 280.32 2.14 19.44 175.74 31.81 235.97 0.61 45.60 72.18 0.19 13.94 29.66 1.69 23.10 478.04 0.21 64.65 109.22 2.89 16.11 52.27 4.59 12.47 119.29 0.91 9.46 49.23 2.27 39.73 48.52 1.24 3.90 124.72 18.85 175.72 0.48 174.51 0.48 21.08 118.81 3.47 16.14 74.40 1.34 11.04 199.67 1.80 26.34 610.27 1.97 14.06 1059.19 0.85 26.91 23.02 2.95 8.23 67.22 4.17 17.36 15.22 4.07 11.75 369.80 0.78 16.05 352.66 2.61 23.93 124.74 1.67 11.99 231.59 2.33 18.63 243.75 0.25 34.44 64.75 18.75 208.97 2.16 22.12 72.60 42.08 17.43 2.98 8.35 23.60 4.90 7.97 29.92 3.88 21.39 70.19 16.77 14.85 5.39 17.72 167.83 3.27 20.02 380.90 1.39 25.22 233.58 1.52 11.49 170.99 0.23 31.46 50.48 0.63 28.24 273.85 2.45 26.14 177.94 1.08 31.07 522.70 48.31 176.38 1.61 25.53 75.19 2.13 32.21 67.75 128.22 20.14 751.59 0.55 57.73 32.91 3.52 39.34 44.89 4.12 44.20 22.72 5.81 9.09 156.89 19.01 80.46 0.10 33.76 99.99 3.14 98.86 512.18 81.46 404.97 25.02 238.54 2.52 21.11 14.26 5.89 12.44 125.62 1.02 21.56 139.05 1.27 24.27 175.78 0.18 23.39 101.23 1.46 30.70 178.46 1.30 30.40 155.96 3.33 18.47 262.40 2.13 12.68 79.30 2.88 21.02 32.50 2.83 18.47 15.48 5.30 158.19 39.96 25.70 6.23 8.69 20.60 4.85 26.96 121.17 0.61 50.43 865.78 0.88 28.30 129.56 3.89 22.48 27.05 4.33 22.99 70.48 2.89 24.47 64.88 1.97 14.69 20.98 3.91 21.60 88.60 0.28 12.49 148.44 1.08 14.67 107.68 1.86 8.62 260.45 1.11 22.50 255.86 1.88 25.50 535.52 0.97 23.70 464.50 1.29 29.61 37.76 3.18 12.53 816.37 0.73 46.88 482.93 2.73 17.63 60.15 3.37 20.16 215.06 2.23 18.12 89.12 1.03 24.94 239.11 16.20 31.37 2.29 26.74 39.98 2.50 18.72 54.12 2.73 19.37 58.70 9.34 11.29 138.17 28.02 560.53 0.54 37.29 146.67 4.13 39.07 254.34 1.05 29.30 61.30 2.02 15.33 300.21 2.36 25.65 65.28 2.79 452.58 727.33 0.39 20.47 471.03 0.80 37.56 65.94 2.85 18.68 85.90 3.31 19.73 76.21 2.98 9.28 681.88 0.31 26.55 31.73 12.79 101.43 10.91 73.06 2.46 25.43 541.74 0.58 32.31 215.48 1.51 25.28 141.06 2.07 14.97 63.06 38.63 57.85 7.05 14.67 298.14 13.67 35.52 2.48 107.18 165.23 2.20 25.19 670.40 0.93 60.02 80.11 4.04 11.09 26.67 127.82 2.89 15.00 539.30 1.34 37.57 474.18 0.70 36.55 407.18 1.07 33.02 176.71 3.06 11.79 29.86 2.55 14.78 1155.42 28.62 115.42 0.40 20.26 17.78 9.68 85.35 1.27 36.73 212.80 1.47 25.20 74.21 3.05 20.79 57.71 1.73 13.78 1212.15 57.10 39.00 2.87 20.83 60.22 2.66 27.88 514.70 1.80 22.30 988.66 131.13 151.25 1.16 22.16 246.21 2.19 18.86 99.57 2.09 17.23 107.08 2.80 9.15 120.92 1.82 14.83 141.96 0.03 45.60 7225.67 14.87 31.25 0.64 35.25 27.33 0.73 30.82 208.96 1.94 19.49 56.32 5.73 38.17 159.88 0.70 30.03 81.43 5.06 15.68 68.86 4.07 8.92 51.02 14.87 214.39 0.93 48.45 89.91 33.05 94.92 1.77 24.22 46.20 2.08 12.75 196.27 133.57 244.61 0.61 34.90 150.61 2.87 30.29 91.27 1.45 13.83 13.59 0.74 11.09 80.36 3.14 21.08 129.58 4.39 16.44 23.71 7.26 9.69 75.16 4.04 158.09 2.67 22.74 267.64 0.15 17.86 651.13 1.11 28.14 101.23 0.87 7.03 187.46 2.67 19.37 105.33 3.84 40.61 137.40 583.08 181.25 2.98 29.45 170.31 3.76 11.88 96.18 1.04 22.53 88.17 4.06 17.53 304.63 88.78 286.39 1.75 26.49 104.81 2.60 13.21 33.63 3.24 19.23 101.67 5.31 6.43 291.92 4.11 29.00 120.96 3.97 35.21 169.34 46.12 358.08 0.11 56.58 70.83 14.38 153.84 2.31 16.19 257.29 1.17 19.88 69.56 4.05 33.60 528.44 0.67 13.92 21.30 4.69 10.25 144.72 1.38 13.69 258.56 1.41 21.42 248.23 0.85 27.70 316.63 1.65 33.31 56.54 1.17 56.19 559.00 0.59 42.50 131.49 1.23 21.27 249.98 0.93 37.90 145.05 1.88 25.32 93.39 0.30 34.19 225.45 1.97 26.20 91.98 2.65 31.20 86.87 1.24 25.96 334.37 0.95 32.03 93.83 4.60 10.89 36.01 3.17 10.67 41.56 22.47 307.95 2.78 16.27 478.86 49.16 89.64 3.30 21.34 73.80 17.29 155.05 5.42 23.70 500.62 0.77 37.72 72.92 3.54 14.49 240.71 0.95 33.77 132.49 1.51 17.18 94.76 3.21 10.70 126.20 2.28 21.83 162.65 2.51 12.21 41.06 4.20 26.88 64.53 5.08 12.12 70.59 3.97 15.52 59.34 2.02 8.14 375.64 0.89 33.58 73.30 2.95 16.74 27.61 4.02 10.85 50.11 3.75 9.44 1346.99 42.67 487.47 30.77 50.45 0.63 41.17 162.04 1.75 27.32 83.00 0.58 25.06 38.06 5.47 10.09 93.17 4.89 11.36 123.16 1.38 30.24 162.47 0.94 62.39 402.40 0.43 22.67 227.20 1.55 21.73 1117.66 0.57 55.88 78.61 1.78 14.53 172.62 2.32 25.15 71.08 46.17 90.48 5.61 10.04 262.41 1.68 13.95 51.35 1.79 27.14 325.31 169.82 54.32 3.68 14.00 420.43 0.89 35.46 67.96 82.88 230.23 191.89 2.83 37.72 77.36 0.10 14.08 579.72 86.97 74.00 6.37 83.93 39.79 40.31 4.27 147.98 170.88 0.47 9.57 459.17 17.82 309.37 2.86 11.70 221.98 2.41 20.00 98.15 6.68 12.30 692.03 1.03 22.42 42.07 4.75 10.38 351.53 0.67 35.08 31.25 5.54 12.48 133.02 3.40 23.66 97.11 0.45 27.29 259.89 0.75 35.78 309.88 0.58 48.18 279.09 1.10 34.12 455.45 40.52 173.34 0.52 37.45 62.93 3.05 237.50 8.82 5.44 9.30 41.61 6.51 9.29 201.20 0.50 29.91 342.30 30.39 10.03 244.54 93.43 55.64 0.72 11.56 103.42 3.45 20.32 151.14 1.77 142.65 71.56 2.24 13.07 235.62 1.40 33.57 59.28 3.37 31.33 94.22 1.00 37.57 72.62 0.50 17.81 152.82 1.73 17.37 221.55 0.38 33.31 294.64 1.25 19.33 26.58 3.16 53.48 83.99 1.19 15.68 67.09 3.40 19.47 110.12 3.60 14.70 125.15 1.28 29.44 61.57 38.60 143.30 1.98 26.06 90.82 1.06 17.80 283.61 26.44 163.21 1.23 27.25
2025-06-20 115.09 0.86 22.73 200.58 0.52 28.28 182.40 3.60 23.62 131.73 33.40 131.81 1.79 20.26 90.17 9.40 282.11 2.10 22.24 376.92 24.13 227.45 1.74 33.98 53.15 3.84 13.68 304.68 2.02 31.18 297.21 55.09 94.02 3.02 20.11 100.13 3.72 15.85 10.14 6.94 5.79 102.74 2.26 14.60 84.63 2.13 19.62 195.42 1.64 13.89 319.47 0.81 39.70 78.38 21.66 56.35 2.87 181.79 27.86 194.37 2.06 12.12 137.23 1.49 18.78 168.98 1.09 18.43 8.83 5.77 15.80 128.24 83.45 176.40 0.70 28.87 287.00 3.32 24.94 506.96 1.26 18.52 215.58 3.15 34.94 209.69 34.44 86.25 37.39 353.18 0.84 27.82 62.10 2.19 16.97 19.48 5.13 3.68 267.02 2.68 22.74 93.69 0.70 43.15 134.03 1.52 20.79 324.70 53.03 67.05 13.93 68.99 7.65 25.70 152.77 2.28 21.22 203.38 3.44 39.70 249.56 0.95 63.44 174.51 2.15 18.77 139.55 2.37 25.42 777.32 430.02 297.09 1.10 20.75 3655.33 24.74 198.75 45.25 2.30 13.36 56.02 1.43 20.13 29.78 2.28 21.11 66.66 5.70 10.66 167.51 2.48 11.80 22.17 5.77 12.39 25.48 3.56 13.16 84.64 3.31 10.62 127.04 10.96 90.69 2.07 14.39 5294.91 0.73 32.97 38.61 2.38 16.77 114.82 13.11 969.86 2.15 23.21 45.62 5.44 8.94 235.58 1.49 28.76 484.85 108.24 0.55 30.21 101.30 45.92 135.65 2.74 40.68 69.80 5.62 77.48 2.89 11.99 20.68 6.77 8.44 162.37 1.26 19.86 69.99 1.29 38.17 358.18 1.69 17.11 282.85 1.37 13.58 225.16 1.12 26.90 133.89 28.60 99.06 4.29 33.94 23.77 12.52 295.40 64.99 169.98 1.47 18.76 304.55 0.51 32.55 99.18 2.02 13.15 40.98 4.10 12.81 95.79 1.23 27.50 92.18 2.69 19.38 386.37 9.91 312.77 1.93 14.06 143.76 2.42 25.58 86.68 2.40 23.61 118.31 4.12 17.49 33.86 3.90 9.05 272.69 1.83 27.48 52.78 45.81 312.67 2.33 15.52 68.03 3.19 20.09 54.40 8.07 35.54 2.48 22.35 197.83 1.21 15.73 308.38 30.51 69.47 24.64 93.92 3.32 11.84 292.63 0.75 23.71 977.55 0.53 55.30 316.31 20.46 31.07 5.02 10.46 47.97 31.58 113.39 3.70 77.24 147.45 22.42 260.18 0.64 37.58 476.30 65.53 2.50 23.47 79.65 287.35 31.93 1.63 18.84 217.68 0.72 49.69 26.50 3.32 14.09 75.14 1.65 15.43 73.54 0.92 35.20 65.32 4.07 13.10 147.90 4.62 20.77 53.60 4.98 17.25 46.89 1.60 8.12 220.46 169.75 56.57 134.48 27.53 5.96 9.49 127.50 274.46 517.93 1.25 24.93 101.69 15.94 118.46 1.77 16.75 110.28 2.14 21.05 177.83 1.80 21.29 123.50 1.30 9.20 195.73 0.65 35.64 117.13 0.85 23.27 174.19 2.80 334.55 98.71 8.10 16.62 7.34 76.60 174.38 1.18 22.83 27.36 10.23 24.31 445.56 1.56 25.57 222.41 2.70 22.62 131.27 3.32 18.17 113.42 3.69 18.19 136.94 14.57 34.05 2.82 6.98 80.00 51.84 150.39 0.51 31.66 77.38 1.50 18.28 260.60 1.00 42.38 100.14 3.40 17.93 255.18 0.78 44.59 335.35 2.39 42.78 48.13 6.88 5.37 74.90 1.87 36.25 372.49 1.84 10.86 484.63 0.21 21.43 127.27 1.66 31.39 123.11 3.31 10.46 163.06 20.84 877.53 2.14 71.35 67.57 4.10 53.09 60.08 1.05 33.30 349.13 1.56 29.72 61.82 4.87 15.54 279.06 3.68 60.62 329.38 1.26 31.42 79.90 3.00 21.60 66.57 4.01 17.47 73.83 28.44 41.86 3.82 15.52 119.62 1.92 56.91 113.63 1.36 18.88 164.57 0.97 17.35 144.46 4.49 36.14 10.33 5.81 6.92 146.78 2.73 9.24 40.54 2.17 40.49 39.94 1.50 31.13 421.10 1.04 29.39 223.16 2.60 12.29 39.12 4.55 14.26 287.13 26.51 1804.82 84.00 79.70 2.01 22.49 163.38 23.31 38.65 3.83 11.45 50.48 1.07 55.00 0.98 12.19 93.32 4.71 32.82 145.00 11.68 99.85 46.55 52.41 0.61 22.08 276.14 2.17 19.15 174.87 31.65 238.73 0.60 46.13 71.22 0.20 13.75 28.91 1.73 22.52 486.55 0.21 65.80 107.75 2.93 15.90 51.71 4.64 12.34 120.09 0.90 9.52 50.04 2.24 40.38 48.08 1.25 3.86 127.34 19.25 167.58 0.50 166.49 0.50 20.11 118.90 3.47 16.16 76.41 1.31 11.34 199.26 1.81 26.29 637.39 1.88 14.69 1032.30 0.88 26.23 22.11 3.08 7.91 68.03 4.12 17.57 15.70 3.95 12.12 376.83 0.76 16.35 347.65 2.65 23.59 125.62 1.66 12.07 233.39 2.31 18.78 248.72 0.24 35.14 64.48 18.67 206.65 2.19 21.88 78.50 45.51 17.87 2.91 8.56 23.87 4.85 8.06 29.75 3.90 21.27 71.98 17.20 15.29 5.23 18.24 170.15 3.22 20.30 394.62 1.34 26.13 237.91 1.49 11.70 173.12 0.23 31.85 51.27 0.62 28.69 277.55 2.42 26.49 177.93 1.08 31.07 523.92 48.42 171.75 1.65 24.86 73.20 2.19 31.36 68.46 129.57 21.08 758.73 0.55 58.28 33.10 3.50 39.56 44.83 4.13 44.15 23.13 5.71 9.25 154.73 18.75 80.35 0.10 33.71 100.51 3.12 99.37 509.36 81.01 392.94 24.28 237.69 2.52 21.04 14.54 5.78 12.68 127.05 1.01 21.81 138.83 1.27 24.23 206.12 0.16 27.43 101.50 1.46 30.78 177.64 1.31 30.26 148.70 3.50 17.61 272.36 2.06 13.16 78.10 2.92 20.70 33.05 2.78 18.78 15.99 5.13 159.36 40.25 25.43 6.29 8.59 20.66 4.84 27.04 122.44 0.60 50.96 848.15 0.90 27.72 127.04 3.97 22.04 27.41 4.27 23.30 68.32 2.99 23.72 71.23 1.80 16.13 20.92 3.92 21.54 89.10 0.28 12.56 148.13 1.08 14.64 105.51 1.90 8.45 261.20 1.10 22.57 248.57 1.93 24.77 547.52 0.95 24.23 454.41 1.32 28.97 36.78 3.26 12.21 759.94 0.79 43.64 467.15 2.83 17.05 59.62 3.40 19.99 210.59 2.28 17.74 90.31 1.02 25.27 227.47 15.41 31.21 2.31 26.60 41.31 2.42 19.35 52.87 2.80 18.92 56.98 9.62 10.96 148.87 30.19 531.55 0.57 35.36 145.41 4.17 38.73 259.53 1.03 29.90 60.61 2.05 15.16 285.84 2.48 24.43 68.50 2.66 474.89 720.06 0.39 20.26 469.15 0.80 37.41 67.29 2.79 19.06 84.98 3.34 19.52 78.05 2.91 9.50 681.89 0.31 26.55 33.77 13.62 99.53 10.70 72.12 2.50 25.10 537.50 0.59 32.06 214.32 1.52 25.14 142.75 2.05 15.15 63.09 38.65 58.80 6.94 14.91 294.01 13.48 36.09 2.44 108.92 168.18 2.16 25.64 683.24 0.91 61.17 78.29 4.14 10.83 25.90 131.00 2.82 15.38 541.34 1.33 37.71 476.62 0.70 36.73 405.33 1.08 32.87 183.68 2.94 12.26 30.24 2.51 14.97 1153.93 28.58 123.41 0.37 21.66 18.86 10.26 85.86 1.26 36.95 208.78 1.49 24.73 70.98 3.19 19.89 58.04 1.72 13.85 1231.41 58.01 39.00 2.87 20.83 59.48 2.69 27.54 495.75 1.86 21.48 971.41 128.85 151.13 1.16 22.14 250.74 2.15 19.21 101.75 2.04 17.61 111.16 2.70 9.50 123.28 1.78 15.12 143.84 0.03 46.21 7157.94 14.73 32.50 0.62 36.65 28.25 0.71 31.86 207.08 1.96 19.31 55.87 5.78 37.87 156.17 0.72 29.33 80.09 5.14 15.43 69.65 4.02 9.02 52.82 15.39 204.38 0.98 46.19 89.69 32.97 93.20 1.80 23.78 45.39 2.12 12.52 199.24 135.59 231.78 0.65 33.07 146.58 2.95 29.48 90.39 1.46 13.69 13.82 0.72 11.28 81.45 3.09 21.37 127.82 4.45 16.21 23.16 7.43 9.47 75.86 4.01 156.90 2.69 22.57 261.80 0.15 17.47 649.78 1.11 28.08 101.30 0.87 7.03 185.77 2.69 19.20 104.76 3.86 40.39 137.30 582.66 180.23 3.00 29.28 174.26 3.67 12.15 96.82 1.03 22.68 86.79 4.12 17.26 303.15 88.35 286.02 1.75 26.45 107.15 2.54 13.50 33.51 3.25 19.16 103.01 5.24 6.52 287.10 4.18 28.52 123.56 3.88 35.97 166.97 45.48 360.60 0.11 56.97 70.05 14.23 150.46 2.37 15.83 271.56 1.10 20.98 70.44 4.00 34.02 508.95 0.69 13.41 21.99 4.55 10.58 148.03 1.35 14.01 262.49 1.39 21.74 252.55 0.84 28.18 320.16 1.64 33.68 56.15 1.18 55.79 560.24 0.59 42.60 127.33 1.27 20.60 246.92 0.94 37.44 146.00 1.86 25.49 94.85 0.30 34.72 226.92 1.96 26.37 91.85 2.66 31.15 88.71 1.22 26.51 332.00 0.95 31.80 95.02 4.55 11.03 35.56 3.21 10.54 45.32 24.51 303.76 2.82 16.05 470.53 48.31 88.60 3.34 21.10 73.57 17.24 155.42 5.40 23.75 503.32 0.76 37.93 72.90 3.54 14.48 235.06 0.97 32.97 124.97 1.60 16.21 98.19 3.10 11.08 129.86 2.22 22.46 160.20 2.55 12.02 41.42 4.16 27.11 63.83 5.14 11.99 71.46 3.92 15.71 61.82 1.94 8.48 373.91 0.90 33.42 73.68 2.93 16.83 27.20 4.08 10.69 47.60 3.95 8.97 1349.64 42.75 486.59 30.72 49.82 0.64 40.66 162.62 1.75 27.42 86.20 0.56 26.03 39.33 5.29 10.43 93.34 4.89 11.38 122.75 1.38 30.14 174.30 0.87 66.94 397.52 0.43 22.40 220.74 1.59 21.12 1082.35 0.59 54.12 84.01 1.67 15.53 168.52 2.37 24.56 71.81 46.64 92.09 5.52 10.22 263.92 1.67 14.03 52.32 1.76 27.66 322.16 168.18 53.93 3.71 13.89 418.75 0.90 35.32 68.23 83.21 238.37 195.04 2.79 38.34 76.96 0.10 14.01 569.77 85.47 74.27 6.39 83.78 39.71 40.12 4.29 147.30 171.51 0.47 9.61 473.85 18.39 300.12 2.95 11.35 221.13 2.42 19.92 97.43 6.73 12.21 702.55 1.02 22.76 42.36 4.72 10.45 337.31 0.70 33.66 31.82 5.44 12.71 139.96 3.23 24.89 96.52 0.46 27.13 255.08 0.77 35.12 305.49 0.59 47.50 279.92 1.10 34.22 440.87 39.22 184.90 0.49 39.94 61.54 3.12 232.26 8.77 5.47 9.24 40.34 6.72 9.00 199.48 0.50 29.66 342.63 30.42 10.52 238.19 91.01 59.22 0.68 12.30 102.52 3.48 20.15 149.99 1.79 141.56 74.57 2.15 13.62 231.07 1.43 32.92 59.98 3.33 31.70 95.90 0.98 38.24 73.07 0.49 17.92 157.67 1.67 17.92 215.47 0.39 32.40 297.30 1.24 19.51 25.97 3.23 52.24 88.29 1.13 16.49 66.12 3.45 19.18 112.66 3.52 15.04 124.12 1.29 29.20 63.59 39.87 138.39 2.05 25.17 90.76 1.06 17.79 294.04 27.42 156.10 1.28 26.06
2025-06-27 118.68 0.84 23.44 200.66 0.52 27.63 179.46 3.66 23.24 134.52 34.11 133.19 1.77 20.47 90.32 9.42 292.09 2.03 23.02 385.83 24.70 236.03 1.68 35.26 51.54 3.96 13.26 301.88 2.04 30.89 305.13 56.56 94.63 3.00 20.24 100.83 3.69 15.96 10.44 6.74 5.96 104.50 2.22 14.85 84.10 2.14 19.50 196.11 1.63 13.94 317.04 0.82 39.40 79.60 22.00 64.60 2.51 188.52 28.89 194.80 2.05 12.15 143.47 1.42 19.63 182.69 1.01 19.93 9.05 5.64 16.19 143.81 78.81 180.24 0.69 29.50 274.90 3.46 23.89 524.56 1.22 19.16 215.88 3.15 34.98 223.30 36.68 99.39 43.09 351.22 0.85 27.66 64.98 2.09 17.76 18.11 5.52 3.42 278.72 2.57 23.74 97.53 0.68 44.92 142.40 1.43 22.09 333.78 54.52 68.78 14.29 70.92 7.44 26.42 151.70 2.29 21.08 200.80 3.49 39.19 268.89 0.88 68.35 174.65 2.15 18.80 136.26 2.43 24.82 818.60 452.86 315.59 1.04 22.04 3609.49 24.43 214.55 46.86 2.22 13.84 56.20 1.42 20.19 30.18 2.25 21.39 67.35 5.64 10.77 169.94 2.45 11.97 23.49 5.45 13.13 26.25 3.45 13.56 79.74 3.51 10.00 126.08 10.87 90.25 2.08 14.32 5683.34 0.68 35.39 37.68 2.44 16.37 117.01 13.36 1042.90 2.00 24.96 45.13 5.50 8.84 238.52 1.48 29.11 485.68 109.18 0.55 30.47 106.53 48.29 148.88 2.50 44.65 66.99 5.85 83.33 2.69 12.90 19.63 7.13 8.01 166.13 1.23 20.31 73.17 1.23 39.90 382.21 1.58 18.26 284.14 1.37 13.64 228.30 1.10 27.28 139.38 29.78 99.53 4.27 34.09 27.26 14.35 305.20 67.14 176.75 1.41 19.50 319.78 0.49 34.18 89.92 2.22 11.92 43.65 3.85 13.64 94.15 1.25 27.03 96.19 2.58 20.22 400.97 10.29 324.67 1.86 14.60 145.42 2.39 25.87 87.59 2.37 23.86 116.72 4.18 17.26 34.63 3.81 9.25 273.45 1.83 27.55 55.05 47.78 324.07 2.25 16.08 67.99 3.19 20.08 53.99 8.01 36.16 2.43 22.74 210.44 1.14 16.73 353.43 34.97 71.14 25.23 89.43 3.49 11.28 298.37 0.74 24.17 982.39 0.53 55.58 327.04 21.15 30.04 5.19 10.12 48.18 31.72 111.60 3.76 76.02 150.01 23.80 272.94 0.61 39.42 499.33 67.83 2.42 24.29 80.76 291.36 32.78 1.59 19.34 219.77 0.71 50.16 25.16 3.50 13.37 77.40 1.60 15.90 74.21 0.92 35.52 67.20 3.96 13.48 142.21 4.81 19.97 55.24 4.83 17.78 49.27 1.52 8.53 242.31 186.58 55.14 131.08 28.66 5.72 9.88 132.08 284.32 509.94 1.27 24.55 104.20 16.34 123.05 1.71 17.40 113.18 2.09 21.60 176.24 1.82 21.10 127.96 1.25 9.53 198.45 0.65 35.91 122.34 0.82 24.54 170.16 2.87 326.80 98.70 8.10 16.88 7.23 77.76 182.78 1.13 23.93 26.62 10.52 23.65 444.67 1.57 25.52 212.90 2.82 21.65 130.57 3.34 18.08 114.92 3.64 18.43 141.67 15.07 32.03 3.00 6.56 86.33 55.95 157.57 0.48 33.17 73.53 1.58 17.37 266.81 0.97 43.39 97.35 3.49 17.43 255.62 0.78 44.66 334.83 2.39 42.71 49.41 6.70 5.51 79.78 1.75 38.62 379.42 1.80 11.06 530.18 0.19 23.45 132.07 1.60 32.57 118.67 3.44 10.08 174.93 22.36 780.35 2.40 63.45 66.63 4.16 52.35 57.96 1.09 32.12 337.64 1.62 28.74 62.65 4.80 15.75 280.11 3.67 60.85 351.25 1.18 33.50 81.39 2.95 22.00 67.68 3.94 17.76 78.21 30.13 42.16 3.79 15.63 116.59 1.97 55.47 114.99 1.34 19.10 170.44 0.94 17.97 144.25 4.49 36.09 10.54 5.70 7.06 137.82 2.90 8.67 41.55 2.12 41.50 43.57 1.38 33.95 440.14 1.00 30.72 227.45 2.55 12.52 39.11 4.55 14.25 295.75 27.31 1816.26 84.54 80.33 1.99 22.67 172.33 24.59 40.78 3.63 12.09 52.09 1.04 56.53 0.96 12.53 92.52 4.76 32.54 152.14 12.25 103.11 48.07 53.87 0.59 22.98 287.99 2.08 19.33 180.07 32.60 253.83 0.57 49.05 74.31 0.19 14.35 29.16 1.71 22.71 519.22 0.19 70.22 109.91 2.88 16.21 49.30 4.95 11.76 123.37 0.88 9.78 51.43 2.18 41.51 49.55 1.21 3.98 142.41 21.52 178.11 0.47 178.37 0.47 21.54 119.60 3.44 16.25 78.49 1.27 11.65 207.58 1.73 25.65 687.13 1.75 15.83 1023.87 0.88 26.01 20.42 3.33 7.30 72.49 3.86 18.17 16.45 3.77 12.70 378.62 0.76 16.43 366.66 2.51 24.88 124.19 1.67 11.93 237.48 2.27 19.11 265.36 0.23 37.49 65.01 18.71 213.22 2.12 22.57 83.03 48.13 18.31 2.84 8.77 24.52 4.72 8.28 29.81 3.89 21.31 73.27 18.03 15.38 5.20 18.35 165.72 3.31 19.90 405.42 1.30 26.84 241.04 1.47 11.85 184.67 0.22 33.98 53.89 0.59 30.15 286.18 2.35 27.32 181.24 1.06 31.65 531.32 49.11 174.89 1.62 25.32 73.86 2.17 31.65 68.37 129.40 22.69 774.11 0.54 59.46 32.40 3.58 38.72 46.34 3.99 45.63 23.95 5.51 9.58 157.47 19.08 84.23 0.10 35.34 101.47 3.09 100.32 533.71 84.89 402.76 24.89 245.04 2.45 21.69 15.41 5.45 13.44 129.76 0.99 23.13 144.51 1.22 25.22 217.29 0.15 28.92 104.68 1.41 31.74 177.68 1.31 30.27 151.30 3.44 18.11 284.35 1.97 13.74 78.42 2.91 21.20 32.56 2.83 18.51 17.04 4.81 164.34 41.51 25.24 6.34 8.74 20.70 4.83 27.09 134.12 0.55 55.82 887.94 0.86 29.02 126.64 3.98 21.97 28.36 4.13 24.10 69.79 2.92 23.97 70.68 1.98 16.00 20.43 4.01 22.28 90.34 0.28 12.73 155.34 1.03 15.35 109.27 1.83 8.75 259.92 1.11 22.46 245.89 1.95 23.44 564.78 0.92 24.99 462.32 1.30 29.47 36.77 3.26 12.20 772.62 0.78 44.37 455.27 2.90 19.78 59.43 3.42 19.92 221.36 2.17 18.65 97.01 0.95 23.66 235.02 15.92 31.98 2.25 27.26 43.73 2.29 20.48 52.74 2.81 18.88 57.30 9.56 11.02 149.99 30.42 548.85 0.55 36.51 144.71 4.19 38.54 272.77 0.98 31.42 63.56 1.95 15.90 289.90 2.44 24.77 70.00 2.60 485.36 724.91 0.39 20.40 487.15 0.77 38.85 66.77 2.82 18.91 85.37 3.33 19.61 79.19 2.87 9.64 733.14 0.29 28.55 34.37 13.86 104.90 11.56 75.33 2.39 26.22 549.31 0.58 32.77 215.07 1.52 25.23 150.67 1.94 15.99 61.71 37.80 57.82 7.06 14.66 297.05 13.62 35.08 2.51 105.86 166.48 2.19 25.38 733.18 0.85 65.64 78.33 4.14 10.84 27.16 138.87 2.66 16.30 572.77 1.26 39.90 495.13 0.67 38.16 417.71 1.04 33.07 192.34 2.81 12.84 30.50 2.49 15.10 1184.54 29.34 124.56 0.37 21.87 20.18 10.98 88.83 1.22 38.22 214.33 1.46 25.39 70.35 3.22 19.71 56.57 1.77 13.50 1323.12 62.33 39.44 2.84 21.07 71.67 2.23 33.18 492.07 1.88 21.32 1022.42 135.61 161.83 1.09 23.71 253.35 2.13 19.41 104.75 1.99 18.13 123.64 2.43 10.57 130.35 1.69 15.99 157.74 0.03 50.67 7375.51 15.18 33.77 0.59 38.08 29.33 0.68 33.08 216.04 1.88 21.51 55.72 5.79 37.77 163.37 0.69 30.68 79.00 5.22 15.22 70.72 3.96 9.16 52.93 15.42 209.43 0.95 47.33 89.16 32.77 96.68 1.74 24.67 42.37 2.27 11.69 200.57 136.50 226.87 0.66 32.36 141.49 3.05 28.45 94.26 1.40 14.28 13.94 0.72 11.38 82.86 3.04 21.74 129.77 4.38 16.46 23.37 7.36 8.73 78.42 3.88 157.67 2.68 22.68 263.78 0.15 17.60 697.37 1.03 30.14 105.35 0.84 7.32 188.31 2.66 19.46 104.69 3.86 40.36 130.74 554.82 179.34 3.01 29.14 182.48 3.51 12.72 103.10 0.97 24.15 86.77 4.13 17.25 313.08 91.24 290.23 1.72 26.84 112.56 2.42 14.18 33.30 3.27 19.04 105.77 5.11 6.69 286.90 4.18 28.50 118.08 4.06 34.37 169.30 46.11 381.07 0.10 60.21 73.64 14.95 157.64 2.26 16.02 308.56 0.97 23.84 69.85 4.04 33.74 520.21 0.68 13.70 23.12 4.32 11.12 152.29 1.31 14.41 275.52 1.32 21.01 254.02 0.83 28.34 328.69 1.59 34.58 55.84 1.18 55.48 561.75 0.59 42.71 127.56 1.27 20.63 243.12 0.95 36.86 144.03 1.89 25.15 97.68 0.29 36.82 228.39 1.94 26.55 90.85 2.69 35.61 89.47 1.21 26.74 344.17 0.92 32.97 93.74 4.61 10.88 33.74 3.38 10.00 47.58 25.73 308.95 2.77 16.48 502.63 51.61 90.19 3.28 21.47 75.46 17.68 158.61 5.30 24.24 516.81 0.74 38.94 74.82 3.45 14.86 238.17 0.96 33.41 130.24 1.54 16.89 104.48 2.91 11.79 141.00 2.04 19.78 159.15 2.56 11.94 42.11 4.09 27.57 66.89 4.90 13.78 74.11 3.78 16.48 65.63 1.83 9.00 391.82 0.86 35.02 74.01 2.92 16.60 27.51 4.04 10.81 46.99 4.00 8.85 1402.72 44.22 509.69 31.15 51.76 0.62 42.25 166.28 1.71 26.44 90.26 0.53 30.87 41.61 5.00 11.03 96.94 4.70 11.81 122.63 1.39 30.11 178.68 0.85 68.62 407.91 0.42 22.13 234.42 1.50 22.43 1053.63 0.61 52.68 86.78 1.61 15.63 172.19 2.32 25.09 75.65 49.13 94.94 5.35 10.54 262.25 1.68 13.94 51.52 1.79 27.11 323.63 168.94 54.75 3.65 13.97 431.31 0.87 36.38 69.33 84.55 241.44 203.78 2.67 40.06 80.32 0.10 14.73 581.10 87.17 79.18 6.82 91.53 43.39 39.80 4.32 146.11 177.88 0.45 9.96 458.27 17.79 307.17 2.88 11.62 229.97 2.33 20.72 99.31 6.61 12.44 749.58 0.96 24.28 44.78 4.47 11.05 347.31 0.68 34.66 31.83 5.43 12.71 133.60 3.38 23.76 100.85 0.44 28.34 261.30 0.75 35.98 308.13 0.58 47.91 286.85 1.07 35.07 441.30 39.26 194.83 0.46 42.09 61.97 3.10 233.86 8.91 5.39 9.39 40.93 6.62 9.14 207.17 0.48 30.80 352.41 30.25 11.30 237.37 90.69 63.22 0.63 9.91 101.48 3.52 19.94 150.87 1.78 142.40 78.62 2.04 14.36 227.41 1.45 32.40 62.14 3.22 32.84 97.04 0.97 38.70 72.20 0.50 17.71 163.01 1.62 18.52 218.51 0.38 32.85 302.76 1.22 19.87 25.64 3.28 51.58 94.46 1.06 17.64 67.25 3.39 19.51 107.43 3.69 14.34 127.88 1.25 30.08 66.63 41.77 147.69 1.92 26.86 91.24 1.05 17.88 309.26 28.57 155.11 1.29 25.89

1.0. Data Processing#

Filter the data to drop any ticker which does not have at least 5 years of continuous price data.

1.1. Data Processing#

Report the highest and lowest dividend-yielding stocks…

  • for any given date across the entire panel

  • taking an average of the past year

Which stocks were they? Was it driven more by changes in D or P?

1.2. A Carry Strategy#

For this strategy, use the dvd yld data.

Build a portfolio where at every time \(t\), you set weights, \(w_t\) that invest…

  • long the highest ranking 20% stocks.

For now, go equal weights of 0.01 in any stock for which you’re long or short.

Realized Returns#

Start at the beginning of the sample.

  • At time \(t\), rank the stocks.

  • The selected stocks will earn \(r_{t+1}\).

1.3. Long-Short#

Re-do the strategy of the previous section, but this time go long and short…

At any given time \(t\), set the vector \(w_t\) as follows…

  • long the highest-ranking 20% of stocks.

  • short the lowest-ranking 20% of stocks.

  • take no position in all other stocks.

1.4. Performance#

Calculate the return of your portfolio over time.

Report the following annualized stats

  • mean

  • volatility

  • Sharpe

Also calculate the tail-risk stats

  • skewness

  • VaR (5th quantile)

  • CVaR (5th quantile)

  • max drawdown

For both tables, compare to SPY, found in the additional data tab.

SHEET_BENCH = 'additional data'
bench = load_ts(FILE_DATA,SHEET_BENCH)
display(bench[['SPY']].tail().style.format('{:.2f}',na_rep='').format_index('{:%Y-%m-%d}'))
ticker SPY
field price
date  
2025-05-30 586.03
2025-06-06 595.72
2025-06-13 593.59
2025-06-20 592.64
2025-06-27 613.21

2. Attribution#

2.1. Market Exposure#

For both the long-only (LO) and long-short (LS) strategies, estimate a linear factor decomposition (LFD) against SPY

Report the…

  • alpha (annualized)

  • beta

  • r-squared

Also show the correlation matrix of the strategies.

How do the LO and LS strategies compare to SPY?

2.2. Sector Regression#

Estimate a multivariate LFD for both LO and LS against all the sector ETFs.

  • Note that SHV is not a sector ETF but rather a money-market fund. Exclude it.

  • Exclude SPY.

Report the same stats as in 2.1.

SHEET_SECTOR_INFO = 'sector names'
info_sectors = pd.read_excel(FILE_DATA,sheet_name=SHEET_SECTOR_INFO).rename(columns={'Unnamed: 0':'ticker'}).set_index('ticker').drop(columns=['gics_sector_name'])
info_sectors['cur_mkt_cap'] = info_sectors['cur_mkt_cap'].astype(float) / 1e9
info_sectors.rename(columns={'cur_mkt_cap':'fund size ($ billions)'},inplace=True)
display(info_sectors.style.format({'fund size ($ billions)':'${:,.2f}'}))
  security_name fund size ($ billions)
ticker    
XLB US Equity Materials Select Sector SPDR F $5.13
XLC US Equity Communication Services Select $25.31
XLE US Equity Energy Select Sector SPDR Fund $28.20
XLF US Equity Financial Select Sector SPDR F $52.73
XLI US Equity Industrial Select Sector SPDR $23.76
XLK US Equity Technology Select Sector SPDR $93.26
XLP US Equity Consumer Staples Select Sector $15.05
XLRE US Equity Real Estate Select Sector SPDR $7.54
XLU US Equity Utilities Select Sector SPDR F $22.19
XLV US Equity Health Care Select Sector SPDR $38.97
XLY US Equity Consumer Discretionary Select $23.41
SHEET_SECTORS = 'sector data'
sectors = load_ts(FILE_DATA,SHEET_SECTORS)
display(sectors.tail().style.format('{:.1f}',na_rep='').format_index(lambda x: x.strftime('%Y-%m-%d')))
ticker XLK XLI XLF XLC XLRE XLE XLY XLB XLV XLU XLP
field price dvd yld price dvd yld price dvd yld price dvd yld price dvd yld price dvd yld price dvd yld price dvd yld price dvd yld price dvd yld price dvd yld
date                                            
2025-05-30 230.2 0.7 141.8 1.1 50.6 1.4 100.8 1.1 41.0 2.6 80.2 3.6 213.0 1.0 85.5 1.9 131.4 1.7 80.8 2.7 81.7 2.0
2025-06-06 237.7 0.6 143.9 1.1 50.9 1.4 103.1 1.1 41.2 2.6 82.0 3.5 211.3 1.0 86.9 1.9 133.1 1.7 80.1 2.8 80.6 2.1
2025-06-13 238.5 0.6 141.6 1.1 49.6 1.4 102.0 1.1 41.2 2.6 86.6 3.3 210.9 1.0 86.5 1.9 134.9 1.7 80.3 2.8 79.9 2.1
2025-06-20 239.8 0.7 141.4 1.2 50.0 1.4 102.2 1.0 41.1 3.6 87.5 3.3 209.9 0.9 85.6 2.0 131.4 1.9 79.7 2.8 79.9 2.8
2025-06-27 250.4 0.6 146.2 1.2 51.8 1.3 107.3 0.9 40.8 3.7 84.6 3.4 218.2 0.8 87.5 2.0 133.3 1.9 80.8 2.8 80.0 2.8

2.3. Sector Neutrality#

Is your LO or LS implementation of the carry strategy neutral to sectors? To which sector does it have the largest exposure?

Remember

Unless regressors are standardized, comparing betas directly can be misleading. You might consider comparing \(\beta_i\sigma_i\) when deciding which exposure is most substantial.

2.4. Magnificent Seven#

Construct an equally-weighted portfolio of the following tickers. Call this MAG. Estimate a LFD on both SPY and MAG. Do this for both the LO and LS strategies.

Report the stats from 2.1.

Comment on what you conclude from this regression.

TICKS_MAG = ['AAPL','MSFT','GOOG','AMZN','NVDA','META','TSLA']
display(TICKS_MAG)
['AAPL', 'MSFT', 'GOOG', 'AMZN', 'NVDA', 'META', 'TSLA']

3. Dynamic hedged#

It’s one thing to ex-post evaluate whether the strategy had alpha beyond sector exposures. That raises the question as to whether we can caputre that when we’re imperfectly hedging the sector exposure in real time.

At each date we:

  1. Look back over a rolling 5-year window of weekly data.

  2. Regress the portfolio return on the sector ETF returns.

  3. Use the estimated betas as hedge ratios going forward one step.

  4. Form a sector-hedged return by combining the strategy with an offsetting position in the sector ETFs.

We do this for both the long-only and long-short variants.

3.1.#

Report the univariate stats of the hedged strategies.

3.2.#

Report sector LFD of the sector-hedged strategies.


4. Assessing the Forecast#

Up to this point we did not build an explicit return forecast; we jumped straight from a signal (dividend yield) to positions.

We could introduce the intermediate step of the return forecasts to try to understand whether the performance is driven by forecasting vs positioning. For illustration, consider the following forecasts:

  • +0.1% for stocks we go long (top sorted)

  • −0.1% for stocks we short (bottom sorted).

4.1.#

  • Treat those implied forecasts as a cross-sectional predictor of next-period returns.

  • Compute an “out-of-sample” \(R^2\) for the forecast vs realized returns.

  • Compute the correlation between the forecast and realized returns.

4.2.#

In section 3, we considered a hedged strategies. Repeat 4.1 but this time interpreting our forecasts as pertaining to the hedged residuals of an LFD.

That is, build the forecasts identically, but compare them to the realized \(\epsilon_t\) rather than the realized \(r_t\).

Use SPY as the single hedging factor. Be careful to estimate \(\epsilon_t\) each period with data up to that point in time, rather than using the full sample.

4.3.#

Repeat 4.2. but considering all the sectors as the LFD.


5. No-Arbitrage via Cross-Asset Replication#

If an asset can be replicated by other assets, an arbitrage-free model should assign consistent forecasts to the asset and its replication portfolio.

5.1. LASSO Replication and Forecast Consistency#

For a selected asset, use LASSO to find a replication portfolio. Compare the dividend-yield-based forecast for the target asset vs its replication portfolio.

5.2. Arbitrage#

Do your forecasts imply arbitrage?


6. EXTRA - Improvements#

Allocation#

Use a different allocation scheme. Above we used equal weightings for any stock that ranked above/below a certain threshold. Other allocations that overweight carry or value could be interesting.

Signal#

Point estimates of the signal may be noisy or misleading. Filter outlier values and take a rolling average of the signal.

Sorting with Sector Neutrality#

Rather than ranking the entire set, rank and allocate within each sector separately, ensuring sector neutrality.

Momentum#

Add a rule that you do not invest in the worst performing stocks over the past year, even if they rank well. And you do not short the best performing stocks over the past year, even if they rank poorly by our signal.