Question: What is the annualized average monthly return for the SPY over the sample period using the Effective Annual Rate (EAR) method? What is the annualized
What is theannualizedaverage monthly return for the SPY over the sample period using the Effective Annual Rate (EAR) method?
What is the annualized average monthly return for the SPXL over the sample period using the Effective Annual Rate (EAR) method?
What is the annualized average monthly return for 3xSPY (the "true" triple leveraged ETF) over the sample period using the Effective Annual Rate (EAR) method?
What is the annualized standard deviation in monthly returns for SPY over the sample period?
What is the annualized standard deviation in monthly returns for SPXL over the sample period?
What is the annualized standard deviation in monthly returns for 3xSPY (the "true" triple leveraged ETF) over the sample period?
What is the annualized average monthly tracking error between the SPXL and 3xSPY (the "True" triple leveraged ETF) over the sample period using the Effective Annual Rate (EAR) method?
What is the future value of a one-time $10,000 investment in the SPY that accrues at the annualized average return for 35 years?
What is the future value of a one-time $10,000 investment in the SPXL that accrues at the annualized average return for 35 years?
What is the future value of a one-time $10,000 investment in the 3xSPY (the "true" triple leveraged ETF) that accrues at the annualized average return for 35 years?
| 12/1/2008 | 68.28 | 2.42 |
| 1/1/2009 | 63.19 | 1.83 |
| 2/1/2009 | 56.40 | 1.27 |
| 3/1/2009 | 60.66 | 1.50 |
| 4/1/2009 | 67.16 | 1.98 |
| 5/1/2009 | 71.09 | 2.29 |
| 6/1/2009 | 70.65 | 2.27 |
| 7/1/2009 | 76.34 | 2.78 |
| 8/1/2009 | 79.16 | 3.08 |
| 9/1/2009 | 81.58 | 3.42 |
| 10/1/2009 | 80.40 | 3.16 |
| 11/1/2009 | 85.35 | 3.30 |
| 12/1/2009 | 86.51 | 3.99 |
| 1/1/2010 | 83.82 | 3.55 |
| 2/1/2010 | 86.43 | 3.88 |
| 3/1/2010 | 91.32 | 4.53 |
| 4/1/2010 | 93.11 | 4.87 |
| 5/1/2010 | 85.71 | 3.71 |
| 6/1/2010 | 80.90 | 3.05 |
| 7/1/2010 | 86.83 | 3.70 |
| 8/1/2010 | 82.93 | 3.21 |
| 9/1/2010 | 89.87 | 4.11 |
| 10/1/2010 | 93.80 | 4.61 |
| 11/1/2010 | 93.80 | 4.61 |
| 12/1/2010 | 99.55 | 5.59 |
| 1/1/2011 | 102.41 | 5.95 |
| 2/1/2011 | 105.96 | 6.57 |
| 3/1/2011 | 105.52 | 6.55 |
| 4/1/2011 | 109.05 | 7.13 |
| 5/1/2011 | 107.82 | 6.86 |
| 6/1/2011 | 105.48 | 6.45 |
| 7/1/2011 | 103.88 | 5.99 |
| 8/1/2011 | 98.17 | 4.68 |
| 9/1/2011 | 90.89 | 3.62 |
| 10/1/2011 | 101.33 | 4.85 |
| 11/1/2011 | 100.92 | 4.67 |
| 12/1/2011 | 101.33 | 4.75 |
| 1/1/2012 | 106.70 | 5.46 |
| 2/1/2012 | 111.33 | 6.17 |
| 3/1/2012 | 114.41 | 6.73 |
| 4/1/2012 | 114.15 | 6.57 |
| 5/1/2012 | 107.29 | 5.40 |
| 6/1/2012 | 111.07 | 5.95 |
| 7/1/2012 | 112.96 | 6.14 |
| 8/1/2012 | 115.79 | 6.55 |
| 9/1/2012 | 118.10 | 7.05 |
| 10/1/2012 | 116.57 | 6.61 |
| 11/1/2012 | 117.23 | 6.68 |
| 12/1/2012 | 117.44 | 6.85 |
| 1/1/2013 | 124.33 | 7.92 |
| 2/1/2013 | 125.92 | 8.16 |
| 3/1/2013 | 130.12 | 9.09 |
| 4/1/2013 | 133.21 | 9.60 |
| 5/1/2013 | 136.35 | 10.25 |
| 6/1/2013 | 133.83 | 9.67 |
| 7/1/2013 | 141.49 | 11.31 |
| 8/1/2013 | 137.24 | 10.25 |
| 9/1/2013 | 140.90 | 11.26 |
| 10/1/2013 | 148.14 | 12.77 |
| 11/1/2013 | 152.53 | 13.90 |
| 12/1/2013 | 155.64 | 14.95 |
| 1/1/2014 | 150.97 | 13.34 |
| 2/1/2014 | 157.84 | 15.19 |
| 3/1/2014 | 158.46 | 15.50 |
| 4/1/2014 | 160.26 | 15.75 |
| 5/1/2014 | 163.98 | 16.76 |
| 6/1/2014 | 166.57 | 17.82 |
| 7/1/2014 | 165.12 | 17.02 |
| 8/1/2014 | 171.63 | 19.06 |
| 9/1/2014 | 168.48 | 18.20 |
| 10/1/2014 | 173.25 | 19.31 |
| 11/1/2014 | 178.01 | 20.91 |
| 12/1/2014 | 176.58 | 20.56 |
| 1/1/2015 | 172.30 | 18.66 |
| 2/1/2015 | 181.98 | 21.89 |
| 3/1/2015 | 178.33 | 20.73 |
| 4/1/2015 | 180.88 | 21.27 |
| 5/1/2015 | 183.21 | 22.00 |
| 6/1/2015 | 178.62 | 20.62 |
| 7/1/2015 | 183.54 | 21.88 |
| 8/1/2015 | 172.36 | 17.74 |
| 9/1/2015 | 167.09 | 16.19 |
| 10/1/2015 | 182.25 | 20.54 |
| 11/1/2015 | 182.91 | 20.66 |
| 12/1/2015 | 178.69 | 19.43 |
| 1/1/2016 | 170.80 | 16.38 |
| 2/1/2016 | 170.66 | 16.15 |
| 3/1/2016 | 181.21 | 19.59 |
| 4/1/2016 | 182.86 | 19.75 |
| 5/1/2016 | 185.97 | 20.67 |
| 6/1/2016 | 185.65 | 20.62 |
| 7/1/2016 | 193.42 | 22.93 |
| 8/1/2016 | 193.65 | 22.93 |
| 9/1/2016 | 192.69 | 22.78 |
| 10/1/2016 | 190.31 | 21.49 |
| 11/1/2016 | 197.32 | 23.83 |
| 12/1/2016 | 200.14 | 25.26 |
| 1/1/2017 | 204.92 | 26.52 |
| 2/1/2017 | 212.97 | 29.67 |
| 3/1/2017 | 212.31 | 29.62 |
| 4/1/2017 | 215.35 | 30.42 |
| 5/1/2017 | 218.39 | 31.55 |
| 6/1/2017 | 218.72 | 32.00 |
| 7/1/2017 | 224.30 | 33.88 |
| 8/1/2017 | 224.96 | 33.94 |
| 9/1/2017 | 228.36 | 35.84 |
| 10/1/2017 | 234.90 | 38.32 |
| 11/1/2017 | 242.08 | 41.70 |
| 12/1/2017 | 243.77 | 41.56 |
| 1/1/2018 | 258.82 | 50.51 |
| 2/1/2018 | 249.41 | 44.07 |
| 3/1/2018 | 241.61 | 40.23 |
| 4/1/2018 | 243.83 | 40.17 |
| 5/1/2018 | 249.76 | 42.78 |
| 6/1/2018 | 250.07 | 43.40 |
| 7/1/2018 | 260.50 | 47.95 |
| 8/1/2018 | 268.81 | 52.39 |
| 9/1/2018 | 269.19 | 52.95 |
| 10/1/2018 | 251.72 | 42.01 |
| 11/1/2018 | 256.39 | 43.82 |
| 12/1/2018 | 232.46 | 32.13 |
| 1/1/2019 | 252.54 | 40.12 |
| 2/1/2019 | 260.73 | 43.83 |
| 3/1/2019 | 264.28 | 45.98 |
| 4/1/2019 | 276.29 | 51.42 |
| 5/1/2019 | 258.67 | 41.81 |
| 6/1/2019 | 275.33 | 50.49 |
| 7/1/2019 | 280.85 | 52.59 |
| 8/1/2019 | 276.15 | 49.08 |
| 9/1/2019 | 280.23 | 51.72 |
| 10/1/2019 | 287.75 | 54.62 |
| 11/1/2019 | 298.16 | 60.53 |
| 12/1/2019 | 305.32 | 65.34 |
| 1/1/2020 | 306.70 | 65.03 |
| 2/1/2020 | 282.42 | 49.90 |
| 3/1/2020 | 245.71 | 25.86 |
| 4/1/2020 | 278.54 | 35.49 |
| 5/1/2020 | 291.81 | 40.24 |
| 6/1/2020 | 295.68 | 41.51 |
| 7/1/2020 | 314.48 | 48.91 |
| 8/1/2020 | 336.43 | 59.63 |
| 9/1/2020 | 322.54 | 52.33 |
| 10/1/2020 | 315.75 | 47.84 |
| 11/1/2020 | 350.10 | 64.69 |
| 12/1/2020 | 361.53 | 71.80 |
| 1/1/2021 | 359.37 | 69.22 |
| 2/1/2021 | 369.36 | 74.67 |
| 3/1/2021 | 384.87 | 84.57 |
| 4/1/2021 | 406.56 | 98.27 |
| 5/1/2021 | 409.23 | 99.60 |
| 6/1/2021 | 417.05 | 106.10 |
| 7/1/2021 | 428.63 | 113.41 |
| 8/1/2021 | 441.38 | 123.57 |
| 9/1/2021 | 419.47 | 106.54 |
| 10/1/2021 | 450.34 | 129.69 |
| 11/1/2021 | 446.72 | 126.25 |
| 12/1/2021 | 465.74 | 142.82 |
| 1/1/2022 | 442.73 | 120.36 |
| 2/1/2022 | 429.66 | 108.43 |
| 3/1/2022 | 444.43 | 119.41 |
| 4/1/2022 | 406.68 | 89.05 |
| 5/1/2022 | 407.60 | 87.17 |
| 6/1/2022 | 372.38 | 65.38 |
| 7/1/2022 | 408.43 | 84.30 |
| 8/1/2022 | 391.76 | 73.07 |
| 9/1/2022 | 354.09 | 53.47 |
| 10/1/2022 | 384.44 | 65.87 |
| 11/1/2022 | 405.82 | 75.44 |
| 12/1/2022 | 380.68 | 61.98 |
| 1/1/2023 | 390.58 | 65.88 |
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