2406 lines
518 KiB
Plaintext
2406 lines
518 KiB
Plaintext
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"printyellow (generic function with 1 method)"
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]
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},
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"using Printf, Dates, Statistics, DelimitedFiles, StatsBase\n",
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"\n",
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"include(\"jlFiles/printmat.jl\")"
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]
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},
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"execution_count": 2,
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"metadata": {},
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"outputs": [],
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"source": [
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"using Plots\n",
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"\n",
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"gr(size=(480,320))\n",
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"default(fmt = :svg)"
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]
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},
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"source": [
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"# Load Data \n",
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"\n",
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"Returns from FX investments (for a US investor) in percent are in `Data_Returns.csv` (extract the returns into a matrix `R`) and log forward premia in percent are in `Data_Forwardpremia.csv` (extract the forward premia into a matrix `fp`). Convert the first columns to Julia dates.\n",
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"\n",
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"Test if the dates in the two files are the same.\n",
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"\n",
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"The currency names/abbreviations are\n",
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"`[\"AUD\",\"CAD\",\"EUR\",\"JPY\",\"NZD\",\"NOK\",\"SEK\",\"CHF\",\"GBP\"]` "
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]
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},
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"(300, 9)"
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]
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},
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}
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"source": [
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"CurrNames = [\"AUD\",\"CAD\",\"EUR\",\"JPY\",\"NZD\",\"NOK\",\"SEK\",\"CHF\",\"GBP\"]\n",
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"\n",
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"x = readdlm(\"Data_Returns.csv\",',',skipstart=1) #return data\n",
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"dN = Date.(x[:,1]) #covert to Julia date, eg. 2001-12-31\n",
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"R = Float64.(x[:,2:end])\n",
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"\n",
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"x = readdlm(\"Data_Forwardpremia.csv\",',',skipstart=2) #forward premia, skip 2 rows\n",
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"dN2 = Date.(x[:,1]) \n",
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"fp = Float64.(x[:,2:end])\n",
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"\n",
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"(T,n) = size(R) #number of data points, number of currencies"
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]
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},
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"Same dates? true\n"
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]
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}
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],
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"source": [
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"println(\"Same dates? \",dN == dN2)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# Plot the forward premia\n",
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"\n",
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"against time. Create a figure with 3x3 subplots. In the plot show the forward premia multiplied by 12 so they can be interpreted as the (annualised) interest rate differential (foreign minus US). \n",
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"\n",
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"Make sure to \n",
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"1. have tick marks on the x-axis at `[Date(2000),Date(2010),Date(2020)]`\n",
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"\n",
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"2. limit the y-axis to `(-6,6)`\n",
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"\n",
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"3. Put the currency name/abbreviation in the title of each subfigure."
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]
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},
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" 1302.61,463.115 1305.38,489.431 1307.97,522.406 1310.83,507.938 1313.6,495.185 1316.11,506.56 1318.88,509.029 1321.56,516.556 1324.24,511.251 1327.01,510.824 \n",
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" 1329.78,499.185 1332.37,494.235 1335.23,500.766 1338.01,476.762 1340.51,496.49 1343.46,453.822 1346.14,419.805 1348.64,433.981 1351.5,434.409 1354.18,429.841 \n",
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" 1356.78,428.44 1359.64,432.654 1362.41,424.216 1365.18,380.276 1367.86,387.33 1370.54,391.769 1373.31,421.921 1376.08,396.522 1378.68,388.022 1381.18,386.897 \n",
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" 1384.13,397.692 1386.81,397.883 1389.58,403.526 1392.26,416.807 1394.95,415.356 1397.81,422.275 1400.49,428.474 1403.08,426.528 1405.94,475.024 1408.71,431.636 \n",
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" 1411.48,430.533 1414.07,435.135 1416.85,432.783 1419.35,434.64 1422.3,435.32 1424.98,438.06 1427.75,433.008 1430.52,433.306 1433.11,431.759 1435.97,430.072 \n",
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" 1438.66,439.73 1441.25,431.45 1444.2,395.11 1446.7,397.636 1449.38,400.364 1452.15,378.948 1454.92,367.034 1457.52,362.101 1460.38,367.838 1463.15,372.541 \n",
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" 1465.65,354.771 1468.6,368.755 1471.28,380.692 1474.05,380.175 1476.82,382.599 1479.33,382.341 1481.92,378.757 1484.78,368.497 1487.55,356.79 1490.05,352.56 \n",
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" 1493,344.589 1495.68,339.515 1498.46,344.651 1501.23,339.706 1503.82,326.11 1506.68,324.534 1509.45,328.624 1511.95,315.129 1514.72,307.259 1517.41,291.784 \n",
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" 1520.09,299.952 1522.86,279.948 1525.63,294.281 1528.22,311 1531.08,309.965 1533.85,312.682 1536.36,309.402 1539.31,314.122 1541.99,324.827 1544.49,332.939 \n",
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" 1547.44,337.67 1550.12,344.206 1552.89,346.299 1555.57,358.467 1558.26,365.78 1561.12,370.235 1563.8,367.529 1566.39,364.272 1569.25,373.942 1572.02,381.592 \n",
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" 1574.79,392.86 1577.3,396.061 1580.07,404.949 1582.66,417.966 1585.52,422.472 1588.2,430.533 1590.79,439.685 1593.74,441.649 1596.42,440.377 1599.2,441.047 \n",
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" 1601.88,445.84 1604.56,444.411 1607.42,437.16 1609.92,433.903 1612.69,440.619 1615.2,439.067 1618.15,437.328 1620.83,447.01 1623.6,447.139 1626.37,443.066 \n",
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" 1628.96,442.296 1631.82,441.581 1634.5,446.087 1637.1,444.124 1640.05,438.15 1642.55,445.66 1645.23,442.133 1648,444.805 1650.77,446.554 1653.36,434.122 \n",
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" 1656.22,437.132 1659,427.968 1661.5,409.843 1664.45,397.006 1667.13,415.373 1669.9,415.091 1672.67,348.24 1675.26,362.427 1678.04,358.332 1680.72,377.222 \n",
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" 1683.4,366.826 1686.17,368.468 1688.94,368.733 1691.53,368.452 1694.39,489.239 1697.16,370.657 1699.67,389.687 1702.62,363.704 1705.3,371.084 1707.8,391.088 \n",
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" 1710.66,396.882 1713.34,400.437 1715.94,404.156 1718.8,403.031 1721.57,399.104 1724.34,394.396 1727.02,395.481 1729.7,393.383 1732.47,392.326 1735.24,394.469 \n",
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" 1737.84,390.222 1740.34,390.199 1743.29,392.303 1745.97,397.861 1748.74,388.573 1751.42,382.273 1754.1,372.654 1756.96,366.488 1759.65,354.489 1762.24,355.283 \n",
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" 1765.1,357.274 1767.87,357.206 1770.64,360.812 1773.14,357.083 1775.91,355.862 1778.51,353.747 1781.37,346.428 1784.05,349.162 1786.64,355.727 1789.59,350.878 \n",
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" 1792.27,350.231 1795.04,353.798 1797.73,348.617 1800.41,354.754 1803.27,355.288 1805.86,352.897 1808.54,359.659 1811.31,355.862 1814.08,353.769 1816.68,354.799 \n",
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" 1819.54,354.146 1822.31,358.101 1824.81,356.284 1827.76,357.977 1830.44,357.758 1833.21,356.149 1835.98,359.08 1838.49,354.568 1841.08,356.88 1843.94,350.372 \n",
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" 1846.71,353.139 1849.21,351.817 1852.16,348.555 1854.84,351.812 1857.61,350.192 1860.39,349.185 1862.98,349.308 1865.84,349.989 1868.61,356.042 1871.11,351.711 \n",
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" 1873.88,353.629 1876.56,350.844 1879.25,351.947 1882.02,346.406 1884.79,350.507 1887.38,353.978 1890.24,348.583 1893.01,351.463 1895.52,351.435 1898.46,355.474 \n",
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" 1901.15,369.352 1903.65,366.736 1906.51,372.434 1909.19,369.177 1911.78,365.375 1914.64,368.536 1917.42,381.187 1920.19,388.208 1922.87,384.467 1925.55,382.11 \n",
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" 1928.32,390.75 1931.09,396.91 1933.68,392.461 1936.45,392.86 1939.23,395.037 1941.82,392.86 1944.68,391.572 1947.36,398.924 1949.95,404.51 1952.9,401.866 \n",
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" 2036.93,435.405 2039.79,438.459 2042.56,437.402 2045.06,433.773 2048.01,427.996 2050.69,420.385 2053.46,420.059 2056.23,396.286 2058.83,413.19 2061.69,401.973 \n",
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" 1248.26,1081.45 1250.76,1054.04 1253.53,1067.97 1256.04,1064.46 1258.99,1058.49 1261.67,1061.32 1264.44,1045.21 1267.21,1032.03 1269.8,1041.14 1272.66,1085.28 \n",
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" 1275.34,1086.43 1277.94,1049.67 1280.89,1056.92 1283.48,1022.78 1286.07,1032.17 1288.93,980.795 1291.7,990.724 1294.21,981.228 1297.16,983.794 1299.84,991 \n",
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" 1302.61,973.06 1305.38,1014.14 1307.97,1032.9 1310.83,1093.42 1313.6,1115.2 1316.11,1091.13 1318.88,1110.22 1321.56,1141.74 1324.24,1126.04 1327.01,1142.21 \n",
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" 1329.78,1060.89 1332.37,1081 1335.23,1092.58 1338.01,1091.77 1340.51,1139.03 1343.46,1040.56 1346.14,1035.9 1348.64,1045.97 1351.5,995.134 1354.18,1041.82 \n",
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" 1356.78,1071.9 1359.64,1077.87 1362.41,1126.94 1365.18,1173.57 1367.86,1214.21 1370.54,1237.47 1373.31,1296.17 1376.08,1221.6 1378.68,1251.34 1381.18,1214.32 \n",
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" 1384.13,1213.96 1386.81,1209.94 1389.58,1210.75 1392.26,1225.76 1394.95,1223.61 1397.81,1229.84 1400.49,1227.71 1403.08,1231.74 1405.94,1262.35 1408.71,1225.21 \n",
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" 1411.48,1216.71 1414.07,1209.08 1416.85,1203.05 1419.35,1190.55 1422.3,1199.02 1424.98,1198.83 1427.75,1195.34 1430.52,1198.11 1433.11,1199.78 1435.97,1198.53 \n",
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" 1438.66,1203.83 1441.25,1192.86 1444.2,1152.18 1446.7,1136.39 1449.38,1135.81 1452.15,1116.4 1454.92,1106.08 1457.52,1106.01 1460.38,1091.54 1463.15,1091.07 \n",
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" 1465.65,1068.27 1468.6,1056.46 1471.28,1060.15 1474.05,1049.48 1476.82,1062.89 1479.33,1049.47 1481.92,1043.15 1484.78,1006.51 1487.55,1019.96 1490.05,1001.43 \n",
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" 1493,993.357 1495.68,1007.29 1498.46,988.586 1501.23,1000.47 1503.82,981.611 1506.68,968.735 1509.45,994.077 1511.95,979.203 1514.72,984.373 1517.41,982.275 \n",
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" 1520.09,989.83 1522.86,981.071 1525.63,1001.37 1528.22,1010.28 1531.08,993.615 1533.85,1004.87 1536.36,974.112 1539.31,979.108 1541.99,1000.36 1544.49,983.214 \n",
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||
" 1547.44,988.007 1550.12,976.604 1552.89,975.789 1555.57,976.306 1558.26,968.729 1561.12,964.347 1563.8,969.348 1566.39,977.831 1569.25,970.214 1572.02,982.967 \n",
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||
" 1574.79,1016.98 1577.3,988.828 1580.07,1005.55 1582.66,1011.23 1585.52,999.786 1588.2,1021.2 1590.79,1026.32 1593.74,1038.28 1596.42,1040.95 1599.2,1047.19 \n",
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||
" 1601.88,1028.57 1604.56,1032.39 1607.42,1060.5 1609.92,1060.14 1612.69,1069.39 1615.2,1077.73 1618.15,1084.79 1620.83,1091.35 1623.6,1086.92 1626.37,1094.8 \n",
|
||
" 1628.96,1087.65 1631.82,1087.74 1634.5,1087.59 1637.1,1085.85 1640.05,1101.94 1642.55,1083.53 1645.23,1079.45 1648,1057.92 1650.77,1069.13 1653.36,1056.53 \n",
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||
" 1656.22,1033.14 1659,1055.6 1661.5,1034.06 1664.45,1014.12 1667.13,1024.58 1669.9,987.073 1672.67,953.231 1675.26,924.952 1678.04,910.956 1680.72,899.891 \n",
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||
" 1683.4,888.157 1686.17,882.318 1688.94,911.716 1691.53,934.774 1694.39,982.747 1697.16,982.438 1699.67,994.409 1702.62,913.015 1705.3,1042.87 1707.8,1070.3 \n",
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||
" 1710.66,1066.56 1713.34,1083.95 1715.94,1092.64 1718.8,1091.17 1721.57,1083.38 1724.34,1090.23 1727.02,1074.54 1729.7,1076.02 1732.47,1060.57 1735.24,1061.28 \n",
|
||
" 1737.84,1083.44 1740.34,1060.59 1743.29,1080.17 1745.97,1080.32 1748.74,1081.68 1751.42,1073.3 1754.1,1058.35 1756.96,1052.96 1759.65,1055.03 1762.24,1056.62 \n",
|
||
" 1765.1,1041.43 1767.87,1049.38 1770.64,1069 1773.14,1064.7 1775.91,1083.6 1778.51,1076.39 1781.37,1068.26 1784.05,1074.9 1786.64,1074.92 1789.59,1068.89 \n",
|
||
" 1792.27,1070.56 1795.04,1072.2 1797.73,1061.75 1800.41,1065.8 1803.27,1085.21 1805.86,1073.32 1808.54,1078.1 1811.31,1066.21 1814.08,1080.45 1816.68,1077.26 \n",
|
||
" 1819.54,1070.78 1822.31,1081.42 1824.81,1079.66 1827.76,1080.53 1830.44,1078.96 1833.21,1079.56 1835.98,1089 1838.49,1077.4 1841.08,1079.97 1843.94,1067.47 \n",
|
||
" 1846.71,1075.63 1849.21,1068.9 1852.16,1069.04 1854.84,1078.57 1857.61,1067.77 1860.39,1078.57 1862.98,1072.15 1865.84,1066.96 1868.61,1084.25 1871.11,1066.18 \n",
|
||
" 1873.88,1063.71 1876.56,1044.68 1879.25,1032.97 1882.02,1025.56 1884.79,1023.6 1887.38,1030.68 1890.24,1014.32 1893.01,1029.92 1895.52,1006.23 1898.46,1004.7 \n",
|
||
" 1901.15,1037.63 1903.65,1003.73 1906.51,1018.56 1909.19,1023.41 1911.78,1036.11 1914.64,1035.43 1917.42,1048.72 1920.19,1065.69 1922.87,1065.2 1925.55,1067.18 \n",
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" 1928.32,1062.09 1931.09,1074.41 1933.68,1094.53 1936.45,1082.69 1939.23,1102.85 1941.82,1099.46 1944.68,1097.16 1947.36,1103.53 1949.95,1111.68 1952.9,1117.6 \n",
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" 1955.58,1121.65 1958.35,1128.34 1961.04,1129.33 1963.72,1131.52 1966.58,1143.73 1969.08,1136.83 1971.85,1150.19 1974.35,1148.59 1977.3,1156.39 1979.99,1160.58 \n",
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" 1982.76,1159.09 1985.53,1160.65 1988.12,1157.83 1990.98,1157.54 1993.66,1168.26 1996.25,1169.92 1999.2,1173.09 2001.71,1175.72 2004.39,1188.18 2007.16,1185.68 \n",
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" 2009.93,1192.86 2012.52,1193.69 2015.38,1190.38 2018.15,1191.17 2020.66,1203.89 2023.61,1210.95 2026.29,1220.7 2029.06,1225.57 2031.83,1229.35 2034.33,1229.17 \n",
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||
" 2036.93,1225.02 2039.79,1226.59 2042.56,1231.68 2045.06,1233.05 2048.01,1231.2 2050.69,1241.9 2053.46,1235.01 2056.23,1223.55 2058.83,1220.9 2061.69,1217.87 \n",
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" 1356.78,2175.77 1359.64,2168.19 1362.41,2174.69 1365.18,2183.77 1367.86,2188.66 1370.54,2185.94 1373.31,2191.3 1376.08,2179.52 1378.68,2156.39 1381.18,2191.97 \n",
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" 1384.13,2167.58 1386.81,2180.87 1389.58,2177.15 1392.26,2189.33 1394.95,2195.56 1397.81,2214.95 1400.49,2195.28 1403.08,2188.87 1405.94,2214.29 1408.71,2211.88 \n",
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" 1411.48,2165.95 1414.07,2176.92 1416.85,2157.19 1419.35,2161.17 1422.3,2174.02 1424.98,2167.83 1427.75,2170.42 1430.52,2149.64 1433.11,2154.52 1435.97,2162.37 \n",
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" 1438.66,2153.51 1441.25,2153.46 1444.2,2082.92 1446.7,2080.59 1449.38,2073.42 1452.15,2058.07 1454.92,2028.31 1457.52,2021.35 1460.38,2017.29 1463.15,2004.99 \n",
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" 1465.65,2010.61 1468.6,1999.75 1471.28,1991.49 1474.05,1998.28 1476.82,2004.36 1479.33,1999.13 1481.92,2009.92 1484.78,2008.84 1487.55,2024.1 1490.05,2024.62 \n",
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" 1493,2043.37 1495.68,2044.99 1498.46,2050.55 1501.23,2040.51 1503.82,2027.38 1506.68,2030.71 1509.45,2024.95 1511.95,2027.72 1514.72,2040.75 1517.41,2043.07 \n",
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" 1520.09,2042.98 1522.86,2036.9 1525.63,2034.26 1528.22,2034.65 1531.08,2038.03 1533.85,2035.42 1536.36,2039.88 1539.31,2035.18 1541.99,2032.15 1544.49,2033.62 \n",
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" 1547.44,2035.95 1550.12,2036.7 1552.89,2035.03 1555.57,2039.15 1558.26,2046.09 1561.12,2054.56 1563.8,2053.71 1566.39,2054.23 1569.25,2074.98 1572.02,2074.05 \n",
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" 1574.79,2075.28 1577.3,2093.02 1580.07,2090.17 1582.66,2104.49 1585.52,2114.08 1588.2,2119.03 1590.79,2140.57 1593.74,2134.74 1596.42,2144.47 1599.2,2148.62 \n",
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" 1601.88,2160.42 1604.56,2170.27 1607.42,2152.04 1609.92,2173.71 1612.69,2165.31 1615.2,2192.67 1618.15,2176.51 1620.83,2194.35 1623.6,2198.82 1626.37,2168.79 \n",
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" 1628.96,2164.94 1631.82,2173.15 1634.5,2159.79 1637.1,2156.23 1640.05,2133.24 1642.55,2146.47 1645.23,2137.27 1648,2147.84 1650.77,2135.34 1653.36,2125.2 \n",
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" 1656.22,2131.4 1659,2144.84 1661.5,2127.37 1664.45,2114.81 1667.13,2128.04 1669.9,2106.76 1672.67,2025.55 1675.26,2017.12 1678.04,2004.23 1680.72,2018.25 \n",
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" 1683.4,2005.25 1686.17,2015.51 1688.94,2008.97 1691.53,2011.3 1694.39,2168.73 1697.16,2014.53 1699.67,2110.15 1702.62,2009.78 1705.3,2010.79 1707.8,2023.29 \n",
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" 1710.66,2030.47 1713.34,2017.07 1715.94,2011.32 1718.8,2014.07 1721.57,2011.16 1724.34,2005.64 1727.02,2004.79 1729.7,2004.39 1732.47,2005.75 1735.24,2005.38 \n",
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" 1737.84,2001.93 1740.34,2004.92 1743.29,2005.69 1745.97,2015.82 1748.74,2039.62 1751.42,2017.38 1754.1,2011.68 1756.96,2007.28 1759.65,2008.98 1762.24,2004.87 \n",
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" 1765.1,2022.78 1767.87,2013.99 1770.64,2007.83 1773.14,2009.2 1775.91,2001.47 1778.51,1999.99 1781.37,2001.43 1784.05,2001.55 1786.64,2022.84 1789.59,2042.41 \n",
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" 1792.27,2024.45 1795.04,2018.06 1797.73,2045.42 1800.41,2020.54 1803.27,2012.44 1805.86,2011.6 1808.54,2012.15 1811.31,2013.31 1814.08,2024.13 1816.68,2034.48 \n",
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" 1819.54,2034.98 1822.31,2016.49 1824.81,2022.8 1827.76,2021.26 1830.44,2018.98 1833.21,2028.51 1835.98,2007.07 1838.49,2010.34 1841.08,2014.84 1843.94,2008 \n",
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" 1846.71,2012.21 1849.21,2005.94 1852.16,2005.57 1854.84,2006.14 1857.61,2005.93 1860.39,2008.39 1862.98,2010.29 1865.84,2006.15 1868.61,2005.91 1871.11,2004.36 \n",
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" 1873.88,2006.87 1876.56,2005.64 1879.25,2008.59 1882.02,2008.72 1884.79,2004 1887.38,2007.6 1890.24,2006.4 1893.01,2005.13 1895.52,2017.97 1898.46,2021.74 \n",
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" 1901.15,2075.46 1903.65,2070.05 1906.51,2065.88 1909.19,2052.93 1911.78,2052.52 1914.64,2059.11 1917.42,2047.32 1920.19,2046.4 1922.87,2048.73 1925.55,2044.24 \n",
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" 1928.32,2144.1 1931.09,2067.65 1933.68,2056.58 1936.45,2084.43 1939.23,2068.1 1941.82,2066.27 1944.68,2080.06 1947.36,2105.57 1949.95,2091.9 1952.9,2098.3 \n",
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" 2478.15,1992.17 2480.74,1987.87 2483.51,2002.03 2486.01,2005.44 2488.96,2022.58 2491.65,2029.26 2494.42,2027.03 2497.19,2023.01 2499.78,2021.39 2502.64,2026.17 \n",
|
||
" 2505.32,2037.29 2507.91,2028.25 2510.86,1981.31 2513.37,1977.65 2516.05,1972.68 2518.82,1945.66 2521.59,1940.57 2524.18,1934.43 2527.04,1922.95 2529.81,1938.54 \n",
|
||
" 2532.32,1898.62 2535.27,1901.89 2537.95,1902.85 2540.72,1887.24 2543.49,1903.62 2545.99,1892.15 2548.59,1892.82 2551.45,1885.06 2554.22,1888.57 2556.72,1893.13 \n",
|
||
" 2559.67,1895.55 2562.35,1893.86 2565.12,1886.52 2567.89,1890.65 2570.49,1871.26 2573.35,1868.33 2576.12,1878.43 2578.62,1879.89 2581.39,1885.28 2584.07,1886.82 \n",
|
||
" 2586.75,1885.29 2589.53,1864.53 2592.3,1882.87 2594.89,1878.23 2597.75,1868.8 2600.52,1870.4 2603.02,1866.46 2605.97,1861.04 2608.65,1863.22 2611.16,1847.48 \n",
|
||
" 2614.11,1841.76 2616.79,1829.57 2619.56,1838.01 2622.24,1840.66 2624.92,1837.35 2627.78,1837.54 2630.46,1853.42 2633.06,1865 2635.92,1867.06 2638.69,1870.54 \n",
|
||
" 2641.46,1898.24 2643.96,1887.01 2646.73,1903.48 2649.33,1905.61 2652.19,1908.54 2654.87,1926.91 2657.46,1943.31 2660.41,1954.69 2663.09,1961.05 2665.86,1973.48 \n",
|
||
" 2668.54,1981.15 2671.23,1985.32 2674.09,1995.71 2676.59,2000.57 2679.36,2009.07 2681.86,2017.3 2684.81,2018.71 2687.49,2031.47 2690.27,2033.52 2693.04,2016.51 \n",
|
||
" 2695.63,2015.74 2698.49,2008.19 2701.17,2002.87 2703.76,2004.65 2706.71,1991.71 2709.22,1991.71 2711.9,1989.42 2714.67,1984.7 2717.44,1980.63 2720.03,1970.99 \n",
|
||
" 2722.89,1968.22 2725.66,1961.89 2728.17,1956.4 2731.12,1938.95 2733.8,1940.31 2736.57,1942.82 2739.34,1895.15 2741.93,1879.06 2744.7,1871.31 2747.38,1876 \n",
|
||
" 2750.07,1866.05 2752.84,1855.32 2755.61,1863.79 2758.2,1869.97 2761.06,2142.57 2763.83,1884.13 2766.33,2000.19 2769.28,1943.93 2771.97,1970.22 2774.47,1986.15 \n",
|
||
" 2777.33,1997.17 2780.01,1990.58 2782.6,1987.28 2785.46,1991.49 2788.23,1988.79 2791,1989.41 2793.69,1985.47 2796.37,1982.62 2799.14,1981.89 2801.91,1983.11 \n",
|
||
" 2804.5,1980.92 2807.01,1979.18 2809.95,1983.22 2812.64,1984.78 2815.41,1995.57 2818.09,1991.73 2820.77,1984.6 2823.63,1980.78 2826.31,1980.37 2828.91,1980.55 \n",
|
||
" 2831.77,1981.3 2834.54,1979.21 2837.31,1980.92 2839.81,1977.99 2842.58,1973.91 2845.17,1969.58 2848.03,1970.3 2850.72,1971.48 2853.31,1974.35 2856.26,1973.51 \n",
|
||
" 2858.94,1975.52 2861.71,1976.13 2864.39,1976.41 2867.07,1976.57 2869.93,1980.02 2872.53,1980.88 2875.21,1981.95 2877.98,1980.73 2880.75,1984.09 2883.34,1988.92 \n",
|
||
" 2886.2,1991.79 2888.97,1986.49 2891.48,1987.63 2894.43,1987.27 2897.11,1991.1 2899.88,1988.02 2902.65,1983.99 2905.15,1982.85 2907.74,1983.6 2910.61,1980.93 \n",
|
||
" 2913.38,1980.98 2915.88,1980.99 2918.83,1980.24 2921.51,1980.13 2924.28,1978.62 2927.05,1980.6 2929.64,1980.5 2932.51,1981.99 2935.28,1981.22 2937.78,1980.1 \n",
|
||
" 2940.55,1980.37 2943.23,1979.53 2945.91,1980.45 2948.68,1978.71 2951.46,1978.86 2954.05,1979.99 2956.91,1977.59 2959.68,1979.15 2962.18,1983.52 2965.13,1979.51 \n",
|
||
" 2967.81,1982.75 2970.32,1979.75 2973.18,1981.11 2975.86,1980.78 2978.45,1981.06 2981.31,1981.05 2984.08,1980.6 2986.85,1983.71 2989.53,1984.69 2992.22,1983.03 \n",
|
||
" 2994.99,2002.57 2997.76,1997.82 3000.35,1994.45 3003.12,1999.72 3005.89,1997.95 3008.48,1997.47 3011.34,2006 3014.03,2005.48 3016.62,2019.55 3019.57,2036.65 \n",
|
||
" 3022.25,2030.09 3025.02,2025.1 3027.7,2054.06 3030.38,2042.01 3033.24,2020.58 3035.75,2039.85 3038.52,2032.88 3041.02,2042.84 3043.97,2049.05 3046.65,2051.3 \n",
|
||
" 3049.42,2055.55 3052.19,2052.2 3054.79,2049.86 3057.65,2042.4 3060.33,2068.86 3062.92,2052.71 3065.87,2050.59 3068.37,2079.75 3071.06,2064.59 3073.83,2074.48 \n",
|
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" 3076.6,2083.68 3079.19,2071.63 3082.05,2068.28 3084.82,2061.2 3087.32,2069.59 3090.27,2067.22 3092.96,2103.85 3095.73,2081.57 3098.5,2073.2 3101,2082.87 \n",
|
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" 3103.59,2077.84 3106.45,2088.14 3109.22,2083.83 3111.73,2080.31 3114.68,2078.71 3117.36,2068.1 3120.13,2067.68 3122.9,2045 3125.49,2074.12 3128.35,2043.37 \n",
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"source": [
|
||
"xTicksLoc = [Date(2000),Date(2010),Date(2020)]\n",
|
||
"xTicksLab = Dates.format.(xTicksLoc,\"Y\")\n",
|
||
"\n",
|
||
"p1 = plot( dN,fp*12,\n",
|
||
" layout = (3,3),\n",
|
||
" legend = false,\n",
|
||
" size = (800,600),\n",
|
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" linecolor = :blue,\n",
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|
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|
||
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|
||
" titlefont = font(10) )\n",
|
||
"display(p1)"
|
||
]
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||
},
|
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{
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"metadata": {},
|
||
"source": [
|
||
"# Plot cumulated log returns\n",
|
||
"\n",
|
||
"in a 3x3 figure (similar to before). The cumulated log returns for a given currency are $r_1,r_1+r_2,r_1+r_2+r_3,...$ etc where $r_t$ is the log return in period $t$.\n",
|
||
"\n",
|
||
"Make sure to\n",
|
||
"1. use the same tick marks on the x-axis as before\n",
|
||
"2. limit the y-axis to (-1,1)\n",
|
||
"\n",
|
||
"Hints:\n",
|
||
"1. log returns are $r= \\ln(1+R/100)$ since the returns in `R` are in percent. In Julia, use `log()` for the natural logarithm.\n",
|
||
"2. cumulate using `cumsum()` or by a loop so you get a $T \\times 9$ matrix."
|
||
]
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||
},
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{
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"cell_type": "code",
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"execution_count": 6,
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" 1291.74,394.14 1294.11,390.409 1296.74,391.436 1299.11,382.779 1301.91,384.385 1304.45,384.836 1307.08,383.77 1309.71,378.09 1312.16,378.111 1314.88,377 \n",
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" 1317.42,380.837 1319.88,382.015 1322.67,384.398 1325.13,383.927 1327.59,381.953 1330.3,381.685 1332.93,383.745 1335.3,382.84 1338.1,384.852 1340.64,383.559 \n",
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" 1343.27,382.878 1345.89,378.818 1348.35,380.723 1351.06,386.007 1353.69,382.03 1356.06,386.437 1358.69,389.994 1361.23,393.854 1363.78,390.765 1366.4,391.398 \n",
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" 1369.03,392.517 1371.49,394.328 1374.2,393.678 1376.83,399.497 1379.2,402.796 1382,404.812 1384.54,411.086 1386.91,403.694 1389.62,403.702 1392.17,405.527 \n",
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" 1394.62,410.508 1397.34,413.685 1399.96,420.818 1402.59,431.397 1405.13,424.416 1407.68,428.196 1410.3,424.991 1412.93,426.329 1415.39,421.676 1417.76,421.428 \n",
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" 1420.56,422.012 1423.1,411.331 1425.73,415.268 1428.27,415.969 1430.81,419.976 1433.52,418.491 1436.07,414.326 1438.52,414.772 1441.24,415.361 1443.86,411.578 \n",
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" 1446.49,411.306 1448.95,411.902 1451.58,412.269 1453.95,418.202 1456.74,421.432 1459.29,418.623 1461.91,419.627 1464.54,417.718 1467,423.566 1469.71,427.972 \n",
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" 1472.25,429.921 1474.71,423.695 1477.51,423.794 1479.88,429.241 1482.42,437.199 1485.05,430.348 1487.68,432.012 1490.14,426.668 1492.85,428.508 1495.48,432.349 \n",
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" 1497.85,437.567 1500.64,438.603 1503.19,435.828 1505.81,440.136 1508.44,438.995 1510.81,441.462 1513.27,439.81 1515.98,435.172 1518.61,427.477 1520.98,425.986 \n",
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" 1523.78,437.272 1526.32,432.683 1528.95,437.101 1531.58,433.165 1534.04,433.097 1536.75,435.123 1539.37,426.066 1541.75,417.962 1544.38,413.992 1546.92,406.526 \n",
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" 1549.46,393.738 1552.09,390.277 1554.71,399.777 1557.17,395.038 1559.88,386.879 1562.51,379.842 1564.88,375.541 1567.68,373.464 1570.22,381.254 1572.6,383.303 \n",
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" 1575.39,377.179 1577.94,389.664 1580.56,387.234 1583.11,382.042 1585.65,379.394 1588.36,376.835 1590.9,365.386 1593.36,354.891 1596.07,347.578 1598.7,349.628 \n",
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" 1601.33,359.399 1603.7,356.768 1606.33,352.321 1608.78,362.676 1611.5,362.622 1614.04,356.109 1616.5,356.562 1619.29,347.975 1621.84,341.632 1624.46,346.425 \n",
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" 1627.01,344.031 1629.55,344.199 1632.26,338.409 1634.63,337.312 1637.26,344.51 1639.63,333.422 1642.43,328.689 1644.97,331.746 1647.6,336.57 1650.23,331.693 \n",
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||
" 1652.68,333.435 1655.4,334.89 1657.94,340.492 1660.4,346.053 1663.19,350.317 1665.57,348.666 1668.11,344.36 1670.74,332.526 1673.36,323.458 1675.82,322.315 \n",
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" 1678.53,323.577 1681.16,321.178 1683.53,303.758 1686.33,291.134 1688.87,305.529 1691.5,302.059 1694.13,308.162 1696.58,299.787 1699.21,312.723 1701.75,307.307 \n",
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" 1704.3,303.461 1706.92,309.172 1709.55,312.083 1712.01,321.216 1714.72,321.981 1717.35,360.198 1719.72,365.891 1722.52,364.353 1725.06,365.423 1727.43,371.818 \n",
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" 1730.14,369.427 1732.69,353.334 1735.14,330.625 1737.86,347.023 1740.48,326.934 1743.11,331.392 1745.65,324.936 1748.2,325.97 1750.82,319.915 1753.45,318.334 \n",
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||
" 1755.91,322.906 1758.28,320.627 1761.08,309.098 1763.62,308.623 1766.25,318.606 1768.79,322.127 1771.33,313.283 1774.04,322.95 1776.59,311.928 1779.04,309.465 \n",
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" 1781.76,311.891 1784.38,302.4 1787.01,304.084 1789.38,296.602 1792.01,295.904 1794.47,288.722 1797.18,294.393 1799.72,293.07 1802.18,289.642 1804.98,296.357 \n",
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" 1807.52,314.033 1810.15,300.33 1812.69,306.711 1815.23,306.905 1817.94,302.428 1820.4,297.174 1822.94,301.085 1825.57,297.664 1828.2,310.782 1830.66,306.112 \n",
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" 1833.37,301.149 1836,296.586 1838.37,295.585 1841.17,299.812 1843.71,297.902 1846.33,298.391 1848.96,299.096 1851.34,307.031 1853.79,303.51 1856.5,300.52 \n",
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" 1859.13,307.948 1861.51,313.514 1864.3,306.044 1866.84,313.074 1869.47,305.576 1872.1,309.424 1874.56,313.448 1877.27,314.238 1879.9,327.577 1882.27,325.367 \n",
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" 1884.9,324.347 1887.44,322.541 1889.98,319.342 1892.61,313.724 1895.24,319.63 1897.69,318.409 1900.4,326.593 1903.03,328.852 1905.4,331.821 1908.2,336.019 \n",
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" 1910.74,361.284 1913.12,356.852 1915.83,360.714 1918.37,348.066 1920.83,356.411 1923.54,356.319 1926.17,367.783 1928.8,374.042 1931.34,376.167 1933.88,369.255 \n",
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" 1936.51,374.166 1939.13,386.036 1941.59,389.707 1944.22,378.98 1946.85,365.987 1949.3,356.972 1952.02,369.166 1954.56,367.131 1957.02,368.318 1959.81,370.096 \n",
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" 1962.36,370.612 1964.98,376.193 1967.53,377.157 1970.07,376.514 1972.78,368.687 1975.15,373.193 1977.78,375.204 1980.15,382.333 1982.95,379.016 1985.49,368.141 \n",
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" 1988.12,357.688 1990.75,358.541 1993.2,357.937 1995.92,366.515 1998.46,366.41 2000.92,358.742 2003.71,352.953 2006.09,365.27 2008.63,367.172 2011.26,365.732 \n",
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" 2013.88,369.236 2016.34,373.419 2019.05,370.674 2021.68,371.257 2024.05,368.962 2026.85,373.61 2029.39,377.134 2032.02,385.06 2034.65,374.266 2037.02,375.239 \n",
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" 2039.48,379.471 2042.19,381.624 2044.82,383.25 2047.19,373.918 2049.99,375.497 2052.53,379.005 2055.16,378.125 2057.78,376.203 2060.24,379.179 2062.95,372.53 \n",
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" 1291.74,1192.84 1294.11,1194.93 1296.74,1185.41 1299.11,1176.99 1301.91,1179.62 1304.45,1177.02 1307.08,1174.26 1309.71,1183.38 1312.16,1179.13 1314.88,1177.78 \n",
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" 1317.42,1180.29 1319.88,1179.53 1322.67,1170.93 1325.13,1169.91 1327.59,1165.65 1330.3,1162.54 1332.93,1164.57 1335.3,1161.05 1338.1,1158.27 1340.64,1156.49 \n",
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||
" 1343.27,1152.33 1345.89,1148.03 1348.35,1145.24 1351.06,1146.09 1353.69,1153.3 1356.06,1151.61 1358.69,1149.88 1361.23,1149.99 1363.78,1150.88 1366.4,1155.84 \n",
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||
" 1369.03,1167.93 1371.49,1171.38 1374.2,1170.47 1376.83,1177.22 1379.2,1179.89 1382,1196.59 1384.54,1193.75 1386.91,1192.15 1389.62,1208.1 1392.17,1205.69 \n",
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||
" 1394.62,1215.41 1397.34,1223.5 1399.96,1226.63 1402.59,1235.57 1405.13,1232.76 1407.68,1217.08 1410.3,1218.2 1412.93,1218.4 1415.39,1213.22 1417.76,1221.08 \n",
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||
" 1420.56,1216.29 1423.1,1202.86 1425.73,1215.96 1428.27,1218.37 1430.81,1218.33 1433.52,1225.62 1436.07,1226.14 1438.52,1231.92 1441.24,1230.18 1443.86,1224.09 \n",
|
||
" 1446.49,1238.8 1448.95,1244.43 1451.58,1238.15 1453.95,1244.21 1456.74,1261.81 1459.29,1253.29 1461.91,1263.35 1464.54,1280.01 1467,1294.66 1469.71,1301.42 \n",
|
||
" 1472.25,1292.17 1474.71,1270.91 1477.51,1270.78 1479.88,1279.68 1482.42,1295.68 1485.05,1290.02 1487.68,1292.11 1490.14,1296.39 1492.85,1289.52 1495.48,1271.9 \n",
|
||
" 1497.85,1291.53 1500.64,1286.72 1503.19,1284.01 1505.81,1283 1508.44,1282.56 1510.81,1279.02 1513.27,1265.29 1515.98,1259.91 1518.61,1239.85 1520.98,1235.08 \n",
|
||
" 1523.78,1244.02 1526.32,1243.8 1528.95,1242.03 1531.58,1230.88 1534.04,1222.67 1536.75,1208.29 1539.37,1195.99 1541.75,1188.71 1544.38,1188.89 1546.92,1185.22 \n",
|
||
" 1549.46,1175.26 1552.09,1170.32 1554.71,1172.04 1557.17,1172.35 1559.88,1163.34 1562.51,1152.8 1564.88,1140.84 1567.68,1132.12 1570.22,1125.21 1572.6,1117.96 \n",
|
||
" 1575.39,1125.13 1577.94,1141.65 1580.56,1139.29 1583.11,1135.22 1585.65,1134.71 1588.36,1123.82 1590.9,1114.36 1593.36,1109.83 1596.07,1095.76 1598.7,1092.36 \n",
|
||
" 1601.33,1095.68 1603.7,1087.75 1606.33,1093.07 1608.78,1084.68 1611.5,1093.86 1614.04,1097.11 1616.5,1101.35 1619.29,1096.8 1621.84,1095.62 1624.46,1092.26 \n",
|
||
" 1627.01,1090.28 1629.55,1098.37 1632.26,1095.92 1634.63,1104.88 1637.26,1126.67 1639.63,1114.94 1642.43,1114.45 1644.97,1125.42 1647.6,1121.98 1650.23,1104.63 \n",
|
||
" 1652.68,1104.85 1655.4,1097.24 1657.94,1090.44 1660.4,1081.64 1663.19,1088.29 1665.57,1082.51 1668.11,1076.18 1670.74,1064.83 1673.36,1066.28 1675.82,1052.54 \n",
|
||
" 1678.53,1053.2 1681.16,1078.14 1683.53,1056.62 1686.33,1050.82 1688.87,1050.85 1691.5,1048.94 1694.13,1042.9 1696.58,1035.13 1699.21,1039.36 1701.75,1039.6 \n",
|
||
" 1704.3,1037.61 1706.92,1044.08 1709.55,1053.44 1712.01,1063.28 1714.72,1076.58 1717.35,1114.63 1719.72,1130.1 1722.52,1111.05 1725.06,1149.61 1727.43,1152.29 \n",
|
||
" 1730.14,1114.93 1732.69,1115.31 1735.14,1081.35 1737.86,1077.64 1740.48,1072.59 1743.11,1060.57 1745.65,1045.02 1748.2,1044.62 1750.82,1047.03 1753.45,1041.54 \n",
|
||
" 1755.91,1049.77 1758.28,1051.91 1761.08,1046.76 1763.62,1037.99 1766.25,1060.25 1768.79,1053.89 1771.33,1038.67 1774.04,1047.39 1776.59,1032.98 1779.04,1021.32 \n",
|
||
" 1781.76,1028.42 1784.38,1013.92 1787.01,1016.19 1789.38,1023.52 1792.01,1018.66 1794.47,1002.1 1797.18,996.288 1799.72,994.538 1802.18,978.091 1804.98,983.948 \n",
|
||
" 1807.52,1014.5 1810.15,996.867 1812.69,1008.51 1815.23,1006.92 1817.94,990.063 1820.4,983.864 1822.94,991.303 1825.57,991.175 1828.2,1014.48 1830.66,994.975 \n",
|
||
" 1833.37,991.576 1836,993.909 1838.37,983.953 1841.17,986.314 1843.71,986.249 1846.33,984.192 1848.96,978.44 1851.34,981.712 1853.79,978.132 1856.5,970.982 \n",
|
||
" 1859.13,990.908 1861.51,999.318 1864.3,990.214 1866.84,997.624 1869.47,976.261 1872.1,977.38 1874.56,980.692 1877.27,977.806 1879.9,982.107 1882.27,970.816 \n",
|
||
" 1884.9,961.125 1887.44,963.297 1889.98,965.849 1892.61,956.422 1895.24,964.329 1897.69,967.371 1900.4,986.63 1903.03,986.297 1905.4,982.926 1908.2,983.214 \n",
|
||
" 1910.74,1003.11 1913.12,990.585 1915.83,992.197 1918.37,987.063 1920.83,1005.24 1923.54,1018.75 1926.17,1023 1928.8,1035.74 1931.34,1032.26 1933.88,1015.84 \n",
|
||
" 1936.51,1022.65 1939.13,1011.26 1941.59,1026.55 1944.22,1020.74 1946.85,1005.66 1949.3,1003.21 1952.02,1012.03 1954.56,997.108 1957.02,993.129 1959.81,991.051 \n",
|
||
" 1962.36,990.017 1964.98,994.262 1967.53,996.547 1970.07,1000.83 1972.78,986.403 1975.15,990 1977.78,999.292 1980.15,1004.15 1982.95,994.585 1985.49,985.644 \n",
|
||
" 1988.12,978.82 1990.75,991.528 1993.2,988.748 1995.92,1003.7 1998.46,1003.03 2000.92,992.863 2003.71,981.545 2006.09,988.313 2008.63,988.558 2011.26,995.162 \n",
|
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" 2013.88,996.307 2016.34,1006.34 2019.05,1004.8 2021.68,1012.02 2024.05,1012.25 2026.85,1016.56 2029.39,1002.41 2032.02,1009.33 2034.65,999.984 2037.02,1005.12 \n",
|
||
" 2039.48,1005.09 2042.19,1011.55 2044.82,1018.14 2047.19,1009.92 2049.99,1015.04 2052.53,1028 2055.16,1029.88 2057.78,1023.77 2060.24,1023.66 2062.95,1009.8 \n",
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" 1291.74,1988.69 1294.11,1977.45 1296.74,1952.68 1299.11,1957.81 1301.91,1963.61 1304.45,1960.62 1307.08,1961.16 1309.71,1974.99 1312.16,1963.4 1314.88,1959.88 \n",
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" 1317.42,1970.37 1319.88,1965.62 1322.67,1980.69 1325.13,1978.43 1327.59,1977.29 1330.3,1990.23 1332.93,1993.21 1335.3,1993.53 1338.1,1982.29 1340.64,1983.56 \n",
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||
" 1343.27,1996.99 1345.89,1999.49 1348.35,2009.42 1351.06,2020.21 1353.69,2035.94 1356.06,2046.82 1358.69,2041.06 1361.23,2048.29 1363.78,2037.81 1366.4,2047.37 \n",
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||
" 1369.03,2058.73 1371.49,2054.45 1374.2,2049.39 1376.83,2039.4 1379.2,2046.16 1382,2053.68 1384.54,2058 1386.91,2057.45 1389.62,2069.3 1392.17,2065.77 \n",
|
||
" 1394.62,2062.75 1397.34,2070.84 1399.96,2066.79 1402.59,2059.24 1405.13,2047.87 1407.68,2042.66 1410.3,2051.27 1412.93,2048.6 1415.39,2058.76 1417.76,2065.42 \n",
|
||
" 1420.56,2072.37 1423.1,2081.19 1425.73,2082.72 1428.27,2088.92 1430.81,2078.53 1433.52,2083.68 1436.07,2082.08 1438.52,2087.39 1441.24,2100.51 1443.86,2103.34 \n",
|
||
" 1446.49,2111.91 1448.95,2116.96 1451.58,2116.91 1453.95,2127.35 1456.74,2123.99 1459.29,2113.22 1461.91,2121.44 1464.54,2134.45 1467,2132.93 1469.71,2144.86 \n",
|
||
" 1472.25,2135.79 1474.71,2117.26 1477.51,2122.11 1479.88,2127.8 1482.42,2136.69 1485.05,2138.54 1487.68,2148.29 1490.14,2149.01 1492.85,2137.97 1495.48,2128.43 \n",
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||
" 1497.85,2119.49 1500.64,2122.41 1503.19,2124.83 1505.81,2127.12 1508.44,2135.76 1510.81,2134.58 1513.27,2130.86 1515.98,2120.43 1518.61,2111.1 1520.98,2096.8 \n",
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||
" 1523.78,2095.74 1526.32,2099.54 1528.95,2094.6 1531.58,2095.46 1534.04,2097.07 1536.75,2077.47 1539.37,2074.57 1541.75,2072.33 1544.38,2071.56 1546.92,2072.81 \n",
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" 1549.46,2061.67 1552.09,2072.95 1554.71,2076.97 1557.17,2082.77 1559.88,2066.45 1562.51,2069.8 1564.88,2060.89 1567.68,2048.67 1570.22,2054.21 1572.6,2056.55 \n",
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" 1575.39,2056.04 1577.94,2062.79 1580.56,2053.7 1583.11,2053.46 1585.65,2059.68 1588.36,2057.45 1590.9,2053.44 1593.36,2042.89 1596.07,2027.91 1598.7,2028.13 \n",
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" 1601.33,2040.97 1603.7,2034.07 1606.33,2042.68 1608.78,2042.83 1611.5,2055.99 1614.04,2064.63 1616.5,2066.15 1619.29,2060.98 1621.84,2068.5 1624.46,2069.66 \n",
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" 1627.01,2075.52 1629.55,2077.06 1632.26,2069.97 1634.63,2077.4 1637.26,2077.27 1639.63,2064.21 1642.43,2058.63 1644.97,2061.86 1647.6,2064.32 1650.23,2065.72 \n",
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" 1652.68,2071.34 1655.4,2069.93 1657.94,2060.28 1660.4,2066.38 1663.19,2073.38 1665.57,2068.02 1668.11,2068.69 1670.74,2066.15 1673.36,2071.26 1675.82,2072.01 \n",
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" 1678.53,2067.53 1681.16,2069.36 1683.53,2060.63 1686.33,2059.09 1688.87,2052.32 1691.5,2053.77 1694.13,2042.25 1696.58,2031.65 1699.21,2016.62 1701.75,2031.22 \n",
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" 1704.3,2032.21 1706.92,2025.14 1709.55,2033.26 1712.01,2046.54 1714.72,2052.44 1717.35,2064.82 1719.72,2075.93 1722.52,2039.36 1725.06,2063.82 1727.43,2064.95 \n",
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" 1730.14,2058.27 1732.69,2058.93 1735.14,2040.55 1737.86,2046.15 1740.48,2043.32 1743.11,2038.3 1745.65,2033.2 1748.2,2029.61 1750.82,2024.12 1753.45,2032.33 \n",
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" 1755.91,2037.87 1758.28,2042.86 1761.08,2037.56 1763.62,2044.35 1766.25,2063.95 1768.79,2044.79 1771.33,2036.41 1774.04,2027.7 1776.59,2017.3 1779.04,2019.26 \n",
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" 1781.76,2023.07 1784.38,2004.37 1787.01,2006.75 1789.38,2003.75 1792.01,1999.38 1794.47,1984.78 1797.18,1979.74 1799.72,1976.16 1802.18,1957.64 1804.98,1964.22 \n",
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" 1807.52,1997.92 1810.15,1986.22 1812.69,1998.78 1815.23,2006.65 1817.94,2002.09 1820.4,1996.39 1822.94,1997.42 1825.57,1998.7 1828.2,2017.99 1830.66,2010.74 \n",
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" 1833.37,2019.42 1836,2012.97 1838.37,2009.28 1841.17,2006.84 1843.71,2005.53 1846.33,2002.29 1848.96,2000.97 1851.34,2007.97 1853.79,2012.17 1856.5,2006.88 \n",
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" 1859.13,2016.09 1861.51,2012.22 1864.3,2007.18 1866.84,2008.23 1869.47,1999.67 1872.1,2000.14 1874.56,1999.63 1877.27,1995.23 1879.9,2000.4 1882.27,1992.64 \n",
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" 1884.9,1993.51 1887.44,1992.66 1889.98,1997 1892.61,1994.82 1895.24,2001.95 1897.69,2004.02 1900.4,2016.02 1903.03,2018.12 1905.4,2018.49 1908.2,2027.28 \n",
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" 1910.74,2005.78 1913.12,2014.61 1915.83,2021.83 1918.37,2012.05 1920.83,2014.28 1923.54,2011.94 1926.17,2020.15 1928.8,2022.16 1931.34,2025.34 1933.88,2028.1 \n",
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" 1936.51,2040.14 1939.13,2033.43 1941.59,2040.37 1944.22,2032.71 1946.85,2022.13 1949.3,2022.75 1952.02,2033.4 1954.56,2028.13 1957.02,2026.44 1959.81,2031.58 \n",
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" 1962.36,2028.32 1964.98,2034.44 1967.53,2043.2 1970.07,2043.27 1972.78,2035.56 1975.15,2040.15 1977.78,2040.55 1980.15,2039.49 1982.95,2032.06 1985.49,2029.76 \n",
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" 1988.12,2032.44 1990.75,2031.89 1993.2,2034.37 1995.92,2043.31 1998.46,2039.66 2000.92,2038.33 2003.71,2025.7 2006.09,2030.93 2008.63,2035.46 2011.26,2045.47 \n",
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" 2039.48,2055.82 2042.19,2063.07 2044.82,2060.26 2047.19,2052.35 2049.99,2057.46 2052.53,2058.1 2055.16,2061.06 2057.78,2058.88 2060.24,2063.06 2062.95,2055.02 \n",
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|
||
" 2358.41,1990.57 2360.78,1989.63 2363.41,1982.47 2365.78,1985.19 2368.58,1988.92 2371.12,1988.23 2373.75,1986.71 2376.37,1994.66 2378.83,1989.19 2381.54,1988.99 \n",
|
||
" 2384.08,1998.01 2386.54,1993.65 2389.34,2000.9 2391.8,1997.17 2394.25,1998 2396.97,2001.99 2399.59,1993.08 2401.97,1992.64 2404.76,1992.08 2407.31,1990.89 \n",
|
||
" 2409.93,1990.39 2412.56,1979.14 2415.02,1969.82 2417.73,1964.45 2420.36,1983.06 2422.73,1977.85 2425.36,1975.9 2427.9,1979.15 2430.44,1976.68 2433.07,1971.68 \n",
|
||
" 2435.7,1976 2438.15,1978.4 2440.87,1979.16 2443.49,1968.29 2445.87,1966.6 2448.66,1972.89 2451.21,1974.25 2453.58,1971.87 2456.29,1966.69 2458.83,1966.67 \n",
|
||
" 2461.29,1973.28 2464,1966.43 2466.63,1971.5 2469.26,1964.48 2471.8,1959.87 2474.34,1963.52 2476.97,1967.14 2479.6,1964.58 2482.05,1967.86 2484.43,1974.72 \n",
|
||
" 2487.22,1972.41 2489.77,1973.07 2492.39,1974.17 2494.94,1978.87 2497.48,1971.24 2500.19,1973.35 2502.73,1966.73 2505.19,1967.77 2507.9,1976.16 2510.53,1972.99 \n",
|
||
" 2513.16,1971.44 2515.61,1978.85 2518.24,1975.88 2520.61,1981.36 2523.41,1994.31 2525.95,1990.88 2528.58,1994.08 2531.21,2002.39 2533.67,1998.03 2536.38,2003.25 \n",
|
||
" 2538.92,2010.18 2541.38,1995.66 2544.18,2002.06 2546.55,2005.66 2549.09,2009.63 2551.72,2007.72 2554.34,2009.5 2556.8,2012.07 2559.51,2008.05 2562.14,2002.75 \n",
|
||
" 2564.51,1998.77 2567.31,2001.26 2569.85,2006.32 2572.48,2000.14 2575.11,2007.88 2577.48,2007.2 2579.94,2004.8 2582.65,1997.8 2585.28,1996.13 2587.65,1984.1 \n",
|
||
" 2590.45,1976.7 2592.99,1978.97 2595.62,1973.84 2598.24,1974.77 2600.7,1975.78 2603.41,1965.59 2606.04,1959.13 2608.41,1970.55 2611.04,1968.99 2613.58,1965.34 \n",
|
||
" 2616.13,1957.84 2618.75,1955.28 2621.38,1962.02 2623.84,1966 2626.55,1951.61 2629.18,1945.03 2631.55,1940.65 2634.35,1928.75 2636.89,1923.4 2639.26,1917.31 \n",
|
||
" 2642.06,1919.32 2644.6,1928.61 2647.23,1918.42 2649.77,1920.72 2652.31,1919.2 2655.03,1921.45 2657.57,1919.02 2660.03,1914.81 2662.74,1902.27 2665.37,1900.41 \n",
|
||
" 2667.99,1904.79 2670.37,1898.47 2672.99,1903.27 2675.45,1899.81 2678.16,1912.55 2680.71,1916.81 2683.16,1921.52 2685.96,1915.28 2688.5,1919.73 2691.13,1919.39 \n",
|
||
" 2693.67,1925.69 2696.21,1927.86 2698.93,1918.07 2701.3,1922.24 2703.93,1924.98 2706.3,1911.89 2709.1,1903.84 2711.64,1907.25 2714.27,1904.8 2716.89,1899.76 \n",
|
||
" 2719.35,1904.98 2722.06,1899.24 2724.61,1890.63 2727.06,1892.1 2729.86,1892.13 2732.23,1891.78 2734.78,1891.55 2737.4,1886.06 2740.03,1889.1 2742.49,1885.05 \n",
|
||
" 2745.2,1881.36 2747.83,1883.32 2750.2,1880.35 2753,1874.7 2755.54,1877.31 2758.17,1886.16 2760.79,1886.28 2763.25,1885.62 2765.88,1885.29 2768.42,1885.67 \n",
|
||
" 2770.96,1885.71 2773.59,1883.09 2776.22,1883.72 2778.67,1906.29 2781.39,1912.15 2784.01,1940.51 2786.39,1954.49 2789.18,1972.84 2791.73,1971.82 2794.1,1974.91 \n",
|
||
" 2796.81,1973.31 2799.35,1963.98 2801.81,1940.18 2804.52,1934.23 2807.15,1932.36 2809.78,1937.13 2812.32,1942.42 2814.86,1933.9 2817.49,1935.09 2820.12,1939.57 \n",
|
||
" 2822.57,1941.69 2824.95,1956.04 2827.74,1956.99 2830.29,1954.4 2832.91,1969.02 2835.46,1960.8 2838,1947.93 2840.71,1953.18 2843.25,1946.09 2845.71,1941.95 \n",
|
||
" 2848.42,1949.28 2851.05,1947.73 2853.68,1941.25 2856.05,1936.88 2858.68,1940.9 2861.14,1929.63 2863.85,1933.25 2866.39,1940.14 2868.85,1933.79 2871.64,1935.98 \n",
|
||
" 2874.19,1948.32 2876.81,1938.25 2879.36,1945.45 2881.9,1948.74 2884.61,1944.35 2887.07,1940.85 2889.61,1940.74 2892.24,1936.13 2894.87,1951.13 2897.32,1945.79 \n",
|
||
" 2900.04,1946.06 2902.66,1942.21 2905.04,1937.54 2907.83,1938.17 2910.37,1939.61 2913,1935.62 2915.63,1942.61 2918,1954.8 2920.46,1954.66 2923.17,1947.67 \n",
|
||
" 2925.8,1954.99 2928.17,1954.82 2930.97,1954.88 2933.51,1949.15 2936.14,1936.2 2938.77,1938.37 2941.22,1932.85 2943.93,1929.68 2946.56,1931.81 2948.94,1926.26 \n",
|
||
" 2951.56,1927.66 2954.1,1924.01 2956.65,1925.82 2959.27,1920.36 2961.9,1923.85 2964.36,1928.41 2967.07,1935.13 2969.7,1938.78 2972.07,1944.72 2974.87,1945.89 \n",
|
||
" 2977.41,1956.37 2979.78,1948.28 2982.5,1959.53 2985.04,1949.74 2987.5,1951.66 2990.21,1943.12 2992.83,1945.25 2995.46,1949.27 2998,1953.51 3000.55,1948.02 \n",
|
||
" 3003.17,1955.18 3005.8,1961.16 3008.26,1971.96 3010.89,1976.95 3013.51,1968.3 3015.97,1962.97 3018.68,1964.81 3021.23,1988.8 3023.68,1990.78 3026.48,1994.76 \n",
|
||
" 3029.02,1997.28 3031.65,2014.91 3034.19,2008.58 3036.73,2012 3039.45,2007.18 3041.82,2010.4 3044.45,2009.27 3046.82,1999.89 3049.62,2000.75 3052.16,1999.3 \n",
|
||
" 3054.79,1995.42 3057.41,2002.16 3059.87,1991.1 3062.58,1994.27 3065.13,1989.13 3067.58,1989.7 3070.38,1975.94 3072.75,1985.11 3075.3,1980.5 3077.92,1986.01 \n",
|
||
" 3080.55,1996.12 3083.01,1998.78 3085.72,2000.99 3088.35,2003.95 3090.72,2003.37 3093.52,2009.48 3096.06,2010.26 3098.69,2011.32 3101.31,2002.67 3103.69,1999.96 \n",
|
||
" 3106.14,2006.19 3108.86,2006.48 3111.48,2016.45 3113.86,2014.17 3116.65,2025.48 3119.2,2027.43 3121.82,2024.49 3124.45,2011.12 3126.91,2011.49 3129.62,2005.18 \n",
|
||
" \n",
|
||
" \"/>\n",
|
||
"</svg>\n"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"r = log.(1.0.+R/100)\n",
|
||
"P = cumsum(r,dims=1)\n",
|
||
"\n",
|
||
"p1 = plot( dN,P,\n",
|
||
" layout = (3,3),\n",
|
||
" legend = false,\n",
|
||
" size = (800,600),\n",
|
||
" linecolor = :blue,\n",
|
||
" xticks = (xTicksLoc,xTicksLab),\n",
|
||
" ylims = (-1,1),\n",
|
||
" title = reshape(CurrNames,1,:),\n",
|
||
" titlefont = font(10) )\n",
|
||
"display(p1)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"# Implement a carry trade strategy\n",
|
||
"\n",
|
||
"\n",
|
||
"1. Find the 4 currencies with the highest forward premia (interest rate differential) in $t-1$ and give each a portfolio weight `w[t,i]=1/4`. These are the investment currencies.\n",
|
||
"\n",
|
||
"2. Find the 4 currencies with the lowest forward premia in $t-1$ and give each a portfolio weight `w[t,i]=-1/4`. These are the funding currencies.\n",
|
||
"\n",
|
||
"3. The portfolio return in t is `w[t,:]'*R[t,:]`. For all periods that lacks data, set the portfolio return to 0.\n",
|
||
"\n",
|
||
"4. Create log returns, cumulate and plot (as above).\n",
|
||
"\n",
|
||
"5. In the plot, add a comparison with an equally weighted portfolio (1/9 in each currency). "
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 7,
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"m = 4 #number of long/short positions \n",
|
||
"\n",
|
||
"(R_CT,w_CT) = (zeros(T),zeros(T,n))\n",
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||
"for t = 2:T #loop over periods, save portfolio returns\n",
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||
" #local v,wt #local/global is needed in script\n",
|
||
" v = sortperm(fp[t-1,:])\n",
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" w = zeros(n)\n",
|
||
" w[v[1:m]] .= -1/m #low interest rate currencies\n",
|
||
" w[v[end-m+1:end]] .= 1/m #high interest rate currencies \n",
|
||
" R_CT[t] = w'R[t,:]\n",
|
||
" w_CT[t,:] = w \n",
|
||
"end\n",
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"\n",
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"R_EW = vec(mean(R,dims=2)); #equally weighted portfolio"
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]
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},
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" 285.45,1202.58 294.015,1242.72 303.499,1324.13 312.064,1299.82 322.159,1293.16 331.336,1302.59 340.82,1267.49 350.303,1220.42 359.174,1214.02 368.964,1196.41 \n",
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" 564.441,947.169 573.312,955.163 583.101,957.78 592.585,968.159 601.15,948.342 611.245,964.252 620.423,944.14 628.988,936.868 638.777,919.961 647.955,942.117 \n",
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" 656.826,960.486 666.615,949.64 676.098,966.416 685.582,997.436 694.759,1008.97 703.936,1050.8 713.42,1012.89 722.903,1048.41 731.774,1019.37 740.34,1005.82 \n",
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" 750.435,980.053 759.612,935.768 769.095,930.807 778.273,923.446 787.45,963.435 797.239,972.39 806.417,963.427 815.288,972.613 825.077,960.767 834.56,935.469 \n",
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" 844.044,925.92 852.915,934.829 862.398,949.794 870.964,938.473 881.059,978.577 890.236,969.151 899.72,960.475 909.203,964.816 918.074,979.346 927.863,971.206 \n",
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" 937.041,973.399 945.912,954.979 956.007,947.581 964.573,953.87 973.75,945.347 983.233,928.133 992.717,936.409 1001.59,923.206 1011.38,920.698 1020.86,901.811 \n",
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" 1029.43,935.728 1039.52,912.39 1048.7,903.375 1058.18,876.419 1067.66,866.927 1076.23,850.61 1085.1,831.912 1094.89,839.173 1104.37,810.452 1112.94,811.664 \n",
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" 1123.03,827.582 1132.21,818.591 1141.7,806.125 1151.18,786.527 1160.05,765.903 1169.84,762.938 1179.32,747.541 1187.89,763.263 1197.37,771.826 1206.55,747.716 \n",
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" 1215.73,735.207 1225.21,712.926 1234.69,712.703 1243.56,717.169 1253.35,716.158 1262.84,688.352 1271.4,685.376 1281.5,690.326 1290.67,663.14 1299.24,635.46 \n",
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" 1309.33,667.426 1318.51,680.315 1328,683 1337.17,683.591 1346.35,672.234 1356.14,670.04 1365.32,655.103 1374.19,667.971 1383.98,674.003 1393.46,673.55 \n",
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" 1402.94,651.718 1411.51,645.429 1420.99,627.691 1429.86,624.631 1439.65,616.887 1448.83,580.317 1457.7,587.755 1467.8,586.915 1476.97,555.259 1486.46,542.169 \n",
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" 1495.63,523.617 1504.81,538.215 1514.6,539.025 1523.17,535.011 1532.65,580.686 1541.22,573.418 1551.31,581.147 1560.49,589.93 1569.97,576.932 1579.45,535.175 \n",
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" 1588.33,526.391 1598.11,509.06 1607.29,536.205 1616.16,516.084 1626.26,509.512 1634.82,508.686 1644,491.875 1653.48,476.808 1662.97,450.44 1671.84,418.002 \n",
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" 1681.63,429.404 1691.11,464.697 1699.68,437.508 1709.77,420.559 1718.95,461.478 1728.43,455.023 1737.92,466.182 1746.79,462.731 1756.27,490.958 1765.45,457.182 \n",
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" 1774.63,449.296 1784.11,452.828 1793.59,449.358 1802.46,476.906 1812.25,526.997 1821.74,625.236 1830.3,648.207 1840.4,618.934 1849.57,659.796 1858.14,653.98 \n",
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" 1867.93,577.758 1877.11,572.533 1885.98,548.48 1895.77,532.279 1905.25,518.716 1914.73,514.581 1923.91,505.199 1933.09,481.774 1942.57,507.124 1952.05,482.482 \n",
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" 1960.93,489.724 1969.49,514.456 1979.59,503.458 1988.76,471.904 1998.25,505.719 2007.42,528.188 2016.6,508.379 2026.39,544.041 2035.57,498.272 2044.44,499.302 \n",
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" 2054.23,498.789 2063.71,470.806 2073.2,471.731 2081.76,467.737 2091.24,457.45 2100.12,439.662 2109.9,449.439 2119.08,449.317 2127.95,465.683 2138.05,462.018 \n",
|
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" 2147.23,496.026 2156.71,447.794 2165.89,461.641 2175.06,454.218 2184.85,432.558 2193.72,396.236 2202.9,415.548 2212.38,426.947 2221.87,457.947 2230.74,415.475 \n",
|
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" 2240.53,391.898 2250.01,395.687 2258.58,392.299 2268.67,392.815 2277.85,381.252 2287.33,366.488 2296.82,336.898 2305.38,328.154 2314.25,312.479 2324.04,310.488 \n",
|
||
" 2333.53,331.796 2342.09,374.356 2352.19,367.15 2361.36,394.828 2370.85,375.257 2380.33,369.433 2389.2,387.475 2398.99,391.536 2408.47,419.186 2417.04,404.253 \n",
|
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" 2426.52,378.414 2435.7,384.693 2444.88,373.745 2454.36,371.031 2463.84,373.782 2472.72,356.526 2482.5,363.426 2491.99,359.211 2500.55,357.338 2510.65,357.096 \n",
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" 2519.83,415.051 2528.39,376.07 2538.18,373.067 2547.36,357.898 2556.23,375.034 2566.02,406.557 2575.5,418.925 2584.98,462.686 2594.16,471.743 2603.34,431.625 \n",
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" 2612.82,408.909 2622.31,441.82 2631.18,448.243 2640.66,455.829 2650.14,432.583 2659.02,432.267 2668.8,436.882 2677.98,434.154 2686.85,428.183 2696.95,417.363 \n",
|
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" 2706.13,410.506 2715.61,393.004 2724.79,367.51 2733.96,374.054 2743.75,359.698 2752.32,352.162 2761.8,375.789 2770.37,398.773 2780.46,405.366 2789.64,384.867 \n",
|
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" 2799.12,362.519 2808.61,379.862 2817.48,367.923 2827.27,380.58 2836.44,400.146 2845.32,376.012 2855.41,373.485 2863.98,389.224 2873.15,388.565 2882.64,368.962 \n",
|
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" 2892.12,368.179 2900.99,373.395 2910.78,368.866 2920.26,385.496 2928.83,371.97 2938.92,372.236 2948.1,358.759 2957.58,404.637 2967.07,362.745 2975.63,362.416 \n",
|
||
" 2984.5,363.148 2994.29,357.83 3003.78,379.451 3012.34,372.923 3022.44,368.835 3031.62,395.485 3041.1,383.353 3050.58,385.05 3059.45,383.537 3069.24,359.513 \n",
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" \n",
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" \"/>\n",
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" 285.45,1201.53 294.015,1182.42 303.499,1140.18 312.064,1134.96 322.159,1147.77 331.336,1141.12 340.82,1135.2 350.303,1171.6 359.174,1151.83 368.964,1144.5 \n",
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" 378.141,1162.22 387.012,1159.94 397.107,1184.11 405.979,1169.19 414.85,1165.27 424.639,1177.27 434.123,1176.17 442.688,1175.1 452.783,1163.02 461.961,1163.35 \n",
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" 471.444,1176.31 480.927,1167.09 489.798,1169.81 499.588,1183.98 509.071,1225.32 517.636,1239.15 527.12,1236.07 536.297,1264.65 545.474,1248.2 554.958,1259.25 \n",
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" 564.441,1291.86 573.312,1291.14 583.101,1279.38 592.585,1273.44 601.15,1299.5 611.245,1331.09 620.423,1334.61 628.988,1328.29 638.777,1351.23 647.955,1341.35 \n",
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" 656.826,1362.25 666.615,1375.83 676.098,1384.22 685.582,1397.28 694.759,1361.15 703.936,1328.55 713.42,1346.65 722.903,1338.73 731.774,1339.29 740.34,1368.4 \n",
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" 750.435,1366.08 759.612,1361.3 769.095,1381.49 778.273,1384.3 787.45,1364.27 797.239,1371.36 806.417,1357.73 815.288,1368.08 825.077,1387.34 834.56,1381.9 \n",
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" 844.044,1410.13 852.915,1429.9 862.398,1419.93 870.964,1460.79 881.059,1475.67 890.236,1445.08 899.72,1477.91 909.203,1502.37 918.074,1521.98 927.863,1553.88 \n",
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" 937.041,1547.32 945.912,1497.03 956.007,1508.92 964.573,1532.45 973.75,1577.18 983.233,1564.31 992.717,1581.05 1001.59,1588.34 1011.38,1570.53 1020.86,1537.85 \n",
|
||
" 1029.43,1552.02 1039.52,1553.68 1048.7,1552.69 1058.18,1559.6 1067.66,1576 1076.23,1566.62 1085.1,1548.11 1094.89,1520.3 1104.37,1476.03 1112.94,1436.44 \n",
|
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" 1123.03,1450.44 1132.21,1444.26 1141.7,1440.42 1151.18,1430.52 1160.05,1421.98 1169.84,1380.78 1179.32,1359.2 1187.89,1351.18 1197.37,1348.01 1206.55,1326.42 \n",
|
||
" 1215.73,1285.55 1225.21,1296.78 1234.69,1315.51 1243.56,1322.22 1253.35,1267.13 1262.84,1251.32 1271.4,1223.54 1281.5,1185.62 1290.67,1193.93 1299.24,1192.44 \n",
|
||
" 1309.33,1187.89 1318.51,1224.16 1328,1207.12 1337.17,1210.21 1346.35,1216.84 1356.14,1202.57 1365.32,1178.62 1374.19,1145.85 1383.98,1099.59 1393.46,1091.26 \n",
|
||
" 1402.94,1123.14 1411.51,1103.22 1420.99,1124.1 1429.86,1121.98 1439.65,1155.89 1448.83,1173.82 1457.7,1178.4 1467.8,1163.27 1476.97,1173.04 1486.46,1184.35 \n",
|
||
" 1495.63,1200.59 1504.81,1204.88 1514.6,1179.82 1523.17,1198.28 1532.65,1212.38 1541.22,1163.11 1551.31,1147.82 1560.49,1165 1569.97,1162.74 1579.45,1158.65 \n",
|
||
" 1588.33,1175.48 1598.11,1163.43 1607.29,1134.03 1616.16,1142.41 1626.26,1159.43 1634.82,1146.75 1644,1138.19 1653.48,1112.14 1662.97,1123.06 1671.84,1110.7 \n",
|
||
" 1681.63,1097.84 1691.11,1115.31 1699.68,1062.42 1709.77,1041.96 1718.95,1049.28 1728.43,1052.77 1737.92,1037.71 1746.79,1005.01 1756.27,989.07 1765.45,998.062 \n",
|
||
" 1774.63,995.14 1784.11,993.195 1793.59,1008.42 1802.46,1061.51 1812.25,1104.56 1821.74,1205.39 1830.3,1230.79 1840.4,1184.71 1849.57,1232.8 1858.14,1260.13 \n",
|
||
" 1867.93,1208.98 1877.11,1184.83 1885.98,1108.12 1895.77,1119.21 1905.25,1087.1 1914.73,1071.06 1923.91,1043.52 1933.09,1034.43 1942.57,1019.5 1952.05,1042.31 \n",
|
||
" 1960.93,1058.03 1969.49,1060.86 1979.59,1056.98 1988.76,1055.55 1998.25,1120.83 2007.42,1102.93 2016.6,1048.01 2026.39,1061.1 2035.57,1003.28 2044.44,987.798 \n",
|
||
" 2054.23,1022.71 2063.71,974.425 2073.2,969.257 2081.76,956.242 2091.24,947.181 2100.12,898.789 2109.9,910.586 2119.08,909.084 2127.95,882.049 2138.05,890.977 \n",
|
||
" 2147.23,971.225 2156.71,919.186 2165.89,952.202 2175.06,965.036 2184.85,942.026 2193.72,924.324 2202.9,940.447 2212.38,935.433 2221.87,995.682 2230.74,962.108 \n",
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" 2240.53,958.916 2250.01,945.111 2258.58,929.834 2268.67,935.066 2277.85,935.767 2287.33,931.127 2296.82,928.42 2305.38,955.568 2314.25,959.26 2324.04,948.666 \n",
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" 2333.53,988.116 2342.09,1001.05 2352.19,982.336 2361.36,993.415 2370.85,956.392 2380.33,956.624 2389.2,970.192 2398.99,966.764 2408.47,985.21 2417.04,959.228 \n",
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" 2426.52,953.565 2435.7,949.713 2444.88,955.711 2454.36,946.248 2463.84,969.421 2472.72,973.734 2482.5,1020.83 2491.99,1035.68 2500.55,1053.63 2510.65,1083.1 \n",
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" 2519.83,1118.25 2528.39,1112.22 2538.18,1140.92 2547.36,1103.84 2556.23,1133.83 2566.02,1128 2575.5,1154.53 2584.98,1167.04 2594.16,1170.31 2603.34,1159.7 \n",
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" 2612.82,1184.84 2622.31,1176.04 2631.18,1196.38 2640.66,1178.03 2650.14,1129.86 2659.02,1113.08 2668.8,1150.51 2677.98,1140.01 2686.85,1137.46 2696.95,1143.82 \n",
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" 2706.13,1132.65 2715.61,1165.13 2724.79,1191 2733.96,1199.86 2743.75,1162.96 2752.32,1175.09 2761.8,1181.84 2770.37,1181.75 2780.46,1165.23 2789.64,1148.34 \n",
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" 2799.12,1118.31 2808.61,1122.65 2817.48,1128.38 2827.27,1155.91 2836.44,1150.01 2845.32,1135.67 2855.41,1093.19 2863.98,1121.8 2873.15,1124.84 2882.64,1149.29 \n",
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" 2984.5,1215.36 2994.29,1228.74 3003.78,1237.39 3012.34,1215.56 3022.44,1239.66 3031.62,1256.9 3041.1,1261.54 3050.58,1246.01 3059.45,1254.59 3069.24,1224.92 \n",
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"metadata": {},
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"output_type": "display_data"
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}
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],
|
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"source": [
|
||
"P_CT = cumsum(log.(1.0.+R_CT/100))\n",
|
||
"P_EW = cumsum(log.(1.0.+R_EW/100));\n",
|
||
"\n",
|
||
"p1 = plot( dN,[P_CT P_EW],\n",
|
||
" label = [\"CT\" \"EW\"],\n",
|
||
" size = (800,600),\n",
|
||
" linecolor = [:red :blue],\n",
|
||
" xticks = (xTicksLoc,xTicksLab),\n",
|
||
" ylims = (-1,1),\n",
|
||
" title = \"Comparison of performance\")\n",
|
||
"display(p1)"
|
||
]
|
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},
|
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{
|
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"cell_type": "markdown",
|
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"metadata": {},
|
||
"source": [
|
||
"# Report some return statistics\n",
|
||
"\n",
|
||
"1. For each of the two portfolio returns, report the average returns, standard deviation and their ratio (the \"Sharpe ratio\").\n",
|
||
"\n",
|
||
"2. For each currency, report the frequency of periods that the currency is in the \"high\" carry trade portfolio."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 9,
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
" CT EW\n",
|
||
"mean 0.283 0.018\n",
|
||
"std 2.038 2.255\n",
|
||
"SR 0.139 0.008\n",
|
||
"\n",
|
||
"and in case you want annualised numbers...\n",
|
||
" CT EW\n",
|
||
"mean 3.401 0.221\n",
|
||
"std 7.061 7.813\n",
|
||
"SR 0.482 0.028\n",
|
||
"\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"μ = mean([R_CT R_EW],dims=1)\n",
|
||
"σ = std([R_CT R_EW],dims=1)\n",
|
||
"SR = μ./σ\n",
|
||
"\n",
|
||
"printmat([μ;σ;SR],colNames=[\"CT\",\"EW\"],rowNames=[\"mean\",\"std\",\"SR\"])\n",
|
||
"\n",
|
||
"println(\"and in case you want annualised numbers...\")\n",
|
||
"(μ_a,σ_a,SR_a) = (μ*12,σ*sqrt(12),SR*sqrt(12))\n",
|
||
"printmat([μ_a;σ_a;SR_a],colNames=[\"CT\",\"EW\"],rowNames=[\"mean\",\"std\",\"SR\"])"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 10,
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"...and for log returns, in %\n",
|
||
" CT EW\n",
|
||
"mean 0.262 -0.007\n",
|
||
"std 2.046 2.256\n",
|
||
"SR 0.128 -0.003\n",
|
||
"\n",
|
||
"and in case you want annualised numbers...\n",
|
||
" CT EW\n",
|
||
"mean 3.147 -0.083\n",
|
||
"std 7.089 7.816\n",
|
||
"SR 0.444 -0.011\n",
|
||
"\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"println(\"...and for log returns, in %\")\n",
|
||
"\n",
|
||
"μ = mean(log.(1.0.+[R_CT R_EW]/100),dims=1)*100\n",
|
||
"σ = std(log.(1.0.+[R_CT R_EW]/100),dims=1)*100\n",
|
||
"SR = μ./σ\n",
|
||
"\n",
|
||
"printmat([μ;σ;SR],colNames=[\"CT\",\"EW\"],rowNames=[\"mean\",\"std\",\"SR\"])\n",
|
||
"\n",
|
||
"println(\"and in case you want annualised numbers...\")\n",
|
||
"(μ_a,σ_a,SR_a) = (μ*12,σ*sqrt(12),SR*sqrt(12))\n",
|
||
"printmat([μ_a;σ_a;SR_a],colNames=[\"CT\",\"EW\"],rowNames=[\"mean\",\"std\",\"SR\"])"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 11,
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"AUD 0.983\n",
|
||
"CAD 0.467\n",
|
||
"EUR 0.023\n",
|
||
"JPY 0.000\n",
|
||
"NZD 0.957\n",
|
||
"NOK 0.710\n",
|
||
"SEK 0.317\n",
|
||
"CHF 0.000\n",
|
||
"GBP 0.530\n",
|
||
"\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"FreqInHi = mean(0 .< w_CT,dims=1) #frequence of times the weight is positive\n",
|
||
"\n",
|
||
"printmat(vec(FreqInHi),rowNames=CurrNames)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": null,
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": []
|
||
}
|
||
],
|
||
"metadata": {
|
||
"@webio": {
|
||
"lastCommId": null,
|
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"lastKernelId": null
|
||
},
|
||
"anaconda-cloud": {},
|
||
"kernelspec": {
|
||
"display_name": "Julia 1.6.3",
|
||
"language": "julia",
|
||
"name": "julia-1.6"
|
||
},
|
||
"language_info": {
|
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"file_extension": ".jl",
|
||
"mimetype": "application/julia",
|
||
"name": "julia",
|
||
"version": "1.6.3"
|
||
}
|
||
},
|
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"nbformat": 4,
|
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"nbformat_minor": 4
|
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}
|