Question: Estimate for BTC, ETH, and LTC. You can use regression or create a scatterplot with a trend line. I recommend doing both to make
Estimate β for BTC, ETH, and LTC. You can use regression or create a scatterplot with a trend line. I recommend doing both to make sure you get the same results.
i. βBT C =
ii. βET H =
iii. βLT C =
Which cryptocurrency’s risk premium is best explained by the market risk premium? Hint: look at the R2 .
| Date | SPY_return | BTC_return | ETH_return | LTC_return | riskfree | SPY RP | BTC RP | ETH RP | LTC RP |
| 2017-01-01 | 2.38943778 | 0.691059145 | 34.6136954 | -5.702507809 | 0.51 | 1.87943778 | 0.181059145 | 34.1036954 | -6.212507809 |
| 2017-02-01 | 3.929155246 | 21.59586819 | 47.44535073 | -7.542955495 | 0.52 | 3.409155246 | 21.07586819 | 46.92535073 | -8.062955495 |
| 2017-03-01 | -0.308694428 | -9.168024158 | 216.347394 | 76.7986656 | 0.74 | -1.048694428 | -9.908024158 | 215.607394 | 76.0586656 |
| 2017-04-01 | 1.431968394 | 25.76064023 | 57.92459225 | 135.5701014 | 0.8 | 0.631968394 | 24.96064023 | 57.12459225 | 134.7701014 |
| 2017-05-01 | 1.41129356 | 69.62881886 | 191.9077414 | 61.07375713 | 0.89 | 0.52129356 | 68.73881886 | 191.0177414 | 60.18375713 |
| 2017-06-01 | 0.149110484 | 8.503732204 | 27.85245409 | 59.51829818 | 0.98 | -0.830889516 | 7.523732204 | 26.87245409 | 58.53829818 |
| 2017-07-01 | 2.553100296 | 15.90187138 | -30.8714982 | 6.612430234 | 1.07 | 1.483100296 | 14.83187138 | -31.9414982 | 5.542430234 |
| 2017-08-01 | 0.291771374 | 63.57682893 | 87.88448982 | 65.15722479 | 1.01 | -0.718228626 | 62.56682893 | 86.87448982 | 64.14722479 |
| 2017-09-01 | 1.511169665 | -7.753559993 | -21.29714175 | -22.39487415 | 1.03 | 0.481169665 | -8.783559993 | -22.32714175 | -23.42487415 |
| 2017-10-01 | 2.864377575 | 49.08578725 | 1.464183921 | 1.109313362 | 1.07 | 1.794377575 | 48.01578725 | 0.394183921 | 0.039313362 |
| 2017-11-01 | 3.056595578 | 58.20913617 | 46.17349243 | 58.42907054 | 1.23 | 1.826595578 | 56.97913617 | 44.94349243 | 57.19907054 |
| 2017-12-01 | 0.698062132 | 38.3325607 | 69.24832309 | 162.758002 | 1.32 | -0.621937868 | 37.0125607 | 67.92832309 | 161.438002 |
| 2018-01-01 | 6.175883529 | -27.7987389 | 47.78133131 | -29.61920803 | 1.41 | 4.765883529 | -29.2087389 | 46.37133131 | -31.02920803 |
| 2018-02-01 | -3.636051684 | 1.729762831 | -23.52756124 | 24.2079978 | 1.57 | -5.206051684 | 0.159762831 | -25.09756124 | 22.6379978 |
| 2018-03-01 | -3.129038039 | -32.9332892 | -53.64154862 | -42.52840154 | 1.7 | -4.829038039 | -34.6332892 | -55.34154862 | -44.22840154 |
| 2018-04-01 | 0.91940807 | 32.50893149 | 68.9777225 | 27.33112288 | 1.76 | -0.84059193 | 30.74893149 | 67.2177225 | 25.57112288 |
| 2018-05-01 | 2.430907263 | -18.89909064 | -13.77454599 | -20.47657683 | 1.86 | 0.570907263 | -20.75909064 | -15.63454599 | -22.33657683 |
| 2018-06-01 | 0.125491739 | -14.54690691 | -21.20074142 | -31.08220009 | 1.9 | -1.774508261 | -16.44690691 | -23.10074142 | -32.98220009 |
| 2018-07-01 | 4.170325895 | 21.49344068 | -4.682321132 | -2.054341656 | 1.96 | 2.210325895 | 19.53344068 | -6.642321132 | -4.014341656 |
| 2018-08-01 | 3.191959435 | -9.547787383 | -34.77171682 | -22.30400098 | 2.03 | 1.161959435 | -11.57778738 | -36.80171682 | -24.33400098 |
| 2018-09-01 | 0.141270053 | -5.854569531 | -17.72271465 | -1.265391499 | 2.13 | -1.988729947 | -7.984569531 | -19.85271465 | -3.395391499 |
| 2018-10-01 | -6.489044861 | -4.647911924 | -15.23182889 | -19.1364632 | 2.25 | -8.739044861 | -6.897911924 | -17.48182889 | -21.3864632 |
| 2018-11-01 | 1.854925955 | -36.41157586 | -42.66346876 | -35.14606009 | 2.33 | -0.475074045 | -38.74157586 | -44.99346876 | -37.47606009 |
| 2018-12-01 | -9.334303643 | -6.834696567 | 17.84623674 | -4.979104476 | 2.37 | -11.70430364 | -9.204696567 | 15.47623674 | -7.349104476 |
| 2019-01-01 | 8.637275946 | -7.61235687 | -19.72526656 | 3.885858263 | 2.37 | 6.267275946 | -9.98235687 | -22.09526656 | 1.515858263 |
| 2019-02-01 | 3.24161682 | 11.481101 | 27.72739903 | 46.07923007 | 2.39 | 0.85161682 | 9.091100996 | 25.33739903 | 43.68923007 |
| 2019-03-01 | 1.363548766 | 6.501500628 | 3.486642697 | 31.39923207 | 2.4 | -1.036451234 | 4.101500628 | 1.086642697 | 28.99923207 |
| 2019-04-01 | 4.543706097 | 30.33373027 | 14.59355085 | 22.26218319 | 2.38 | 2.163706097 | 27.95373027 | 12.21355085 | 19.88218319 |
| 2019-05-01 | -6.37713195 | 60.2493017 | 65.33274839 | 54.19440799 | 2.35 | -8.72713195 | 57.8993017 | 62.98274839 | 51.84440799 |
| 2019-06-01 | 6.44097041 | 26.1549106 | 8.422710264 | 6.733335861 | 2.17 | 4.27097041 | 23.9849106 | 6.252710264 | 4.563335861 |
| 2019-07-01 | 2.005662368 | -6.76265917 | -24.78253707 | -19.4189872 | 2.1 | -0.094337632 | -8.86265917 | -26.88253707 | -21.5189872 |
| 2019-08-01 | -1.674339541 | -4.51101181 | -21.12210414 | -34.44693067 | 1.95 | -3.624339541 | -6.46101181 | -23.07210414 | -36.39693067 |
| 2019-09-01 | 1.477157244 | -13.88062018 | 4.292009682 | -13.19241731 | 1.89 | -0.412842756 | -15.77062018 | 2.402009682 | -15.08241731 |
| 2019-10-01 | 2.682483765 | 10.92031823 | 2.276455627 | 4.858949766 | 1.65 | 1.032483765 | 9.270318229 | 0.626455627 | 3.208949766 |
| 2019-11-01 | 3.619831491 | -17.71770232 | -17.08308818 | -19.23294191 | 1.54 | 2.079831491 | -19.25770232 | -18.62308818 | -20.77294191 |
| 2019-12-01 | 2.402081088 | -4.967624148 | -15.03138842 | -12.92322576 | 1.54 | 0.862081088 | -6.507624148 | -16.57138842 | -14.46322576 |
| 2020-01-01 | 0.451058161 | 29.98401968 | 39.000836 | 64.19780875 | 1.52 | -1.068941839 | 28.46401968 | 37.480836 | 62.67780875 |
| 2020-02-01 | -7.916559344 | -8.031850221 | 22.02947442 | -13.75412728 | 1.52 | -9.436559344 | -9.551850221 | 20.50947442 | -15.27412728 |
| 2020-03-01 | -12.99873069 | -25.12776382 | -39.23380859 | -32.87168897 | 0.29 | -13.28873069 | -25.41776382 | -39.52380859 | -33.16168897 |
| 2020-04-01 | 13.36107826 | 34.47789623 | 55.39823935 | 18.86790393 | 0.14 | 13.22107826 | 34.33789623 | 55.25823935 | 18.72790393 |
| 2020-05-01 | 4.764495358 | 9.268347923 | 11.25887576 | -2.402137517 | 0.13 | 4.634495358 | 9.138347923 | 11.12887576 | -2.532137517 |
| 2020-06-01 | 1.327563832 | -3.41468586 | -2.017833841 | -9.045671176 | 0.16 | 1.167563832 | -3.57468586 | -2.177833841 | -9.205671176 |
| 2020-07-01 | 6.355179786 | 23.9163413 | 52.68747275 | 39.86309327 | 0.13 | 6.225179786 | 23.7863413 | 52.55747275 | 39.73309327 |
| 2020-08-01 | 6.979663166 | 3.155866683 | 25.90764824 | 5.371996598 | 0.1 | 6.879663166 | 3.055866683 | 25.80764824 | 5.271996598 |
| 2020-09-01 | -4.128119432 | -7.646741625 | -17.25140607 | -24.26580898 | 0.11 | -4.238119432 | -7.756741625 | -17.36140607 | -24.37580898 |
| 2020-10-01 | -2.103042852 | 27.74826572 | 7.379531187 | 20.10676078 | 0.1 | -2.203042852 | 27.64826572 | 7.279531187 | 20.00676078 |
| 2020-11-01 | 10.87768205 | 42.41232778 | 59.04239659 | 57.53592626 | 0.09 | 10.78768205 | 42.32232778 | 58.95239659 | 57.44592626 |
| 2020-12-01 | 3.264655947 | 47.77317407 | 19.99875923 | 42.3817852 | 0.09 | 3.174655947 | 47.68317407 | 19.90875923 | 42.2917852 |
| 2021-01-01 | -0.597121956 | 14.18067126 | 78.22989096 | 3.914091232 | 0.08 | -0.677121956 | 14.10067126 | 78.14989096 | 3.834091232 |
| 2021-02-01 | 2.780544202 | 36.30875059 | 7.68546039 | 27.28728204 | 0.04 | 2.740544202 | 36.26875059 | 7.64546039 | 27.24728204 |
| 2021-03-01 | 4.198658525 | 30.53111096 | 35.47286349 | 19.74928085 | 0.03 | 4.168658525 | 30.50111096 | 35.44286349 | 19.71928085 |
| 2021-04-01 | 5.635896169 | -1.983502065 | 44.56119037 | 37.30041504 | 0.02 | 5.615896169 | -2.003502065 | 44.54119037 | 37.28041504 |
| 2021-05-01 | 0.656603769 | -35.35455959 | -2.100878779 | -30.65763247 | 0.02 | 0.636603769 | -35.37455959 | -2.120878779 | -30.67763247 |
| 2021-06-01 | 1.909342807 | -6.139416614 | -16.22123672 | -23.34573409 | 0.04 | 1.869342807 | -6.179416614 | -16.26123672 | -23.38573409 |
| 2021-07-01 | 2.776393237 | 18.79338549 | 11.50392954 | 0.553212881 | 0.05 | 2.726393237 | 18.74338549 | 11.45392954 | 0.503212881 |
| 2021-08-01 | 2.975988062 | 13.31010952 | 35.38834398 | 18.4402268 | 0.05 | 2.925988062 | 13.26010952 | 35.33834398 | 18.3902268 |
| 2021-09-01 | -4.965006941 | -7.157155077 | -12.58262518 | -10.78370825 | 0.04 | -5.005006941 | -7.197155077 | -12.62262518 | -10.82370825 |
| 2021-10-01 | 7.359197238 | 40.02672859 | 42.85585778 | 25.24902856 | 0.05 | 7.309197238 | 39.97672859 | 42.80585778 | 25.19902856 |
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