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T_k",[574,1141,1143,1198,1262],{"className":1142,"ariaHidden":604},[603],[574,1144,1146,1149,1189,1192,1195],{"className":1145},[608],[574,1147],{"className":1148,"style":698},[612],[574,1150,1152,1155],{"className":1151},[617],[574,1153,663],{"className":1154,"style":782},[617,618],[574,1156,1158],{"className":1157},[709],[574,1159,1161,1181],{"className":1160},[713,714],[574,1162,1164,1178],{"className":1163},[718],[574,1165,1167],{"className":1166,"style":723},[722],[574,1168,1169,1172],{"style":797},[574,1170],{"className":1171,"style":731},[730],[574,1173,1175],{"className":1174},[735,736,737,738],[574,1176,654],{"className":1177,"style":742},[617,618,738],[574,1179,747],{"className":1180},[746],[574,1182,1184],{"className":1183},[718],[574,1185,1187],{"className":1186,"style":754},[722],[574,1188],{},[574,1190],{"className":1191,"style":761},[760],[574,1193,658],{"className":1194},[765],[574,1196],{"className":1197,"style":761},[760],[574,1199,1201,1204,1253,1256,1259],{"className":1200},[608],[574,1202],{"className":1203,"style":775},[612],[574,1205,1207,1210],{"className":1206},[617],[574,1208,663],{"className":1209,"style":782},[617,618],[574,1211,1213],{"className":1212},[709],[574,1214,1216,1245],{"className":1215},[713,714],[574,1217,1219,1242],{"className":1218},[718],[574,1220,1222],{"className":1221,"style":723},[722],[574,1223,1224,1227],{"style":797},[574,1225],{"className":1226,"style":731},[730],[574,1228,1230],{"className":1229},[735,736,737,738],[574,1231,1233,1236,1239],{"className":1232},[617,738],[574,1234,654],{"className":1235,"style":742},[617,618,738],[574,1237,670],{"className":1238},[813,738],[574,1240,674],{"className":1241},[617,738],[574,1243,747],{"className":1244},[746],[574,1246,1248],{"className":1247},[718],[574,1249,1251],{"className":1250,"style":826},[722],[574,1252],{},[574,1254],{"className":1255,"style":832},[760],[574,1257,670],{"className":1258},[813],[574,1260],{"className":1261,"style":832},[760],[574,1263,1265,1268],{"className":1264},[608],[574,1266],{"className":1267,"style":698},[612],[574,1269,1271,1274],{"className":1270},[617],[574,1272,948],{"className":1273,"style":981},[617,618],[574,1275,1277],{"className":1276},[709],[574,1278,1280,1300],{"className":1279},[713,714],[574,1281,1283,1297],{"className":1282},[718],[574,1284,1286],{"className":1285,"style":723},[722],[574,1287,1288,1291],{"style":996},[574,1289],{"className":1290,"style":731},[730],[574,1292,1294],{"className":1293},[735,736,737,738],[574,1295,654],{"className":1296,"style":742},[617,618,738],[574,1298,747],{"className":1299},[746],[574,1301,1303],{"className":1302},[718],[574,1304,1306],{"className":1305,"style":754},[722],[574,1307],{},[565,1309,1310,1311,1485,1486,925],{},"Weil die Restschuld sinkt, werden die Zinsen kleiner und die Tilgung größer. Die Tilgung wächst dabei jedes Jahr genau um den Zinsfaktor: ",[574,1312,1314,1352],{"className":1313},[577],[574,1315,1317],{"className":1316},[581],[583,1318,1319],{"xmlns":585},[587,1320,1321,1349],{},[590,1322,1323,1336,1338,1344,1346],{},[647,1324,1325,1327],{},[593,1326,948],{},[590,1328,1329,1331,1334],{},[593,1330,654],{},[656,1332,1333],{},"+",[672,1335,674],{},[656,1337,658],{},[647,1339,1340,1342],{},[593,1341,948],{},[593,1343,654],{},[656,1345,677],{},[593,1347,1348],{},"q",[597,1350,1351],{"encoding":599},"T_{k+1} = T_k \\cdot q",[574,1353,1355,1419,1474],{"className":1354,"ariaHidden":604},[603],[574,1356,1358,1361,1410,1413,1416],{"className":1357},[608],[574,1359],{"className":1360,"style":775},[612],[574,1362,1364,1367],{"className":1363},[617],[574,1365,948],{"className":1366,"style":981},[617,618],[574,1368,1370],{"className":1369},[709],[574,1371,1373,1402],{"className":1372},[713,714],[574,1374,1376,1399],{"className":1375},[718],[574,1377,1379],{"className":1378,"style":723},[722],[574,1380,1381,1384],{"style":996},[574,1382],{"className":1383,"style":731},[730],[574,1385,1387],{"className":1386},[735,736,737,738],[574,1388,1390,1393,1396],{"className":1389},[617,738],[574,1391,654],{"className":1392,"style":742},[617,618,738],[574,1394,1333],{"className":1395},[813,738],[574,1397,674],{"className":1398},[617,738],[574,1400,747],{"className":1401},[746],[574,1403,1405],{"className":1404},[718],[574,1406,1408],{"className":1407,"style":826},[722],[574,1409],{},[574,1411],{"className":1412,"style":761},[760],[574,1414,658],{"className":1415},[765],[574,1417],{"className":1418,"style":761},[760],[574,1420,1422,1425,1465,1468,1471],{"className":1421},[608],[574,1423],{"className":1424,"style":698},[612],[574,1426,1428,1431],{"className":1427},[617],[574,1429,948],{"className":1430,"style":981},[617,618],[574,1432,1434],{"className":1433},[709],[574,1435,1437,1457],{"className":1436},[713,714],[574,1438,1440,1454],{"className":1439},[718],[574,1441,1443],{"className":1442,"style":723},[722],[574,1444,1445,1448],{"style":996},[574,1446],{"className":1447,"style":731},[730],[574,1449,1451],{"className":1450},[735,736,737,738],[574,1452,654],{"className":1453,"style":742},[617,618,738],[574,1455,747],{"className":1456},[746],[574,1458,1460],{"className":1459},[718],[574,1461,1463],{"className":1462,"style":754},[722],[574,1464],{},[574,1466],{"className":1467,"style":832},[760],[574,1469,677],{"className":1470},[813],[574,1472],{"className":1473,"style":832},[760],[574,1475,1477,1481],{"className":1476},[608],[574,1478],{"className":1479,"style":1480},[612],"height:0.625em;vertical-align:-0.1944em;",[574,1482,1348],{"className":1483,"style":1484},[617,618],"margin-right:0.0359em;"," mit ",[574,1487,1489,1515],{"className":1488},[577],[574,1490,1492],{"className":1491},[581],[583,1493,1494],{"xmlns":585},[587,1495,1496,1512],{},[590,1497,1498,1500,1502,1504,1506],{},[593,1499,1348],{},[656,1501,658],{},[672,1503,674],{},[656,1505,1333],{},[679,1507,1508,1510],{},[593,1509,565],{},[672,1511,685],{},[597,1513,1514],{"encoding":599},"q = 1 + \\frac{p}{100}",[574,1516,1518,1536,1555],{"className":1517,"ariaHidden":604},[603],[574,1519,1521,1524,1527,1530,1533],{"className":1520},[608],[574,1522],{"className":1523,"style":1480},[612],[574,1525,1348],{"className":1526,"style":1484},[617,618],[574,1528],{"className":1529,"style":761},[760],[574,1531,658],{"className":1532},[765],[574,1534],{"className":1535,"style":761},[760],[574,1537,1539,1543,1546,1549,1552],{"className":1538},[608],[574,1540],{"className":1541,"style":1542},[612],"height:0.7278em;vertical-align:-0.0833em;",[574,1544,674],{"className":1545},[617],[574,1547],{"className":1548,"style":832},[760],[574,1550,1333],{"className":1551},[813],[574,1553],{"className":1554,"style":832},[760],[574,1556,1558,1561],{"className":1557},[608],[574,1559],{"className":1560,"style":845},[612],[574,1562,1564,1567,1626],{"className":1563},[617],[574,1565],{"className":1566},[852,853],[574,1568,1570],{"className":1569},[679],[574,1571,1573,1618],{"className":1572},[713,714],[574,1574,1576,1615],{"className":1575},[718],[574,1577,1579,1593,1601],{"className":1578,"style":866},[722],[574,1580,1581,1584],{"style":869},[574,1582],{"className":1583,"style":873},[730],[574,1585,1587],{"className":1586},[735,736,737,738],[574,1588,1590],{"className":1589},[617,738],[574,1591,685],{"className":1592},[617,738],[574,1594,1595,1598],{"style":885},[574,1596],{"className":1597,"style":873},[730],[574,1599],{"className":1600,"style":893},[892],[574,1602,1603,1606],{"style":896},[574,1604],{"className":1605,"style":873},[730],[574,1607,1609],{"className":1608},[735,736,737,738],[574,1610,1612],{"className":1611},[617,738],[574,1613,565],{"className":1614},[617,618,738],[574,1616,747],{"className":1617},[746],[574,1619,1621],{"className":1620},[718],[574,1622,1624],{"className":1623,"style":918},[722],[574,1625],{},[574,1627],{"className":1628},[924,853],[565,1630,1631],{},"In der Praxis rundet man auf Cent. Deshalb weicht die letzte Rate meist um ein paar Cent ab: Sie besteht aus den letzten Zinsen und der gesamten Restschuld.",[560,1633,1635],{"id":1634},"beispiele","Beispiele",[565,1637,1638,1639,1684,1685,1728,1729,1757,1758,1825],{},"Kredit über ",[574,1640,1642,1664],{"className":1641},[577],[574,1643,1645],{"className":1644},[581],[583,1646,1647],{"xmlns":585},[587,1648,1649,1661],{},[590,1650,1651,1654,1658],{},[672,1652,1653],{},"10",[1655,1656,1657],"mtext",{}," ",[672,1659,1660],{},"000",[597,1662,1663],{"encoding":599},"10\\,000",[574,1665,1667],{"className":1666,"ariaHidden":604},[603],[574,1668,1670,1674,1677,1681],{"className":1669},[608],[574,1671],{"className":1672,"style":1673},[612],"height:0.6444em;",[574,1675,1653],{"className":1676},[617],[574,1678],{"className":1679,"style":1680},[760],"margin-right:0.1667em;",[574,1682,1660],{"className":1683},[617]," € zu ",[574,1686,1688,1709],{"className":1687},[577],[574,1689,1691],{"className":1690},[581],[583,1692,1693],{"xmlns":585},[587,1694,1695,1706],{},[590,1696,1697,1700,1702],{},[672,1698,1699],{},"5",[1655,1701,1657],{},[593,1703,1705],{"mathvariant":1704},"normal","%",[597,1707,1708],{"encoding":599},"5\\,\\%",[574,1710,1712],{"className":1711,"ariaHidden":604},[603],[574,1713,1715,1719,1722,1725],{"className":1714},[608],[574,1716],{"className":1717,"style":1718},[612],"height:0.8056em;vertical-align:-0.0556em;",[574,1720,1699],{"className":1721},[617],[574,1723],{"className":1724,"style":1680},[760],[574,1726,1705],{"className":1727},[617],", Laufzeit ",[574,1730,1732,1745],{"className":1731},[577],[574,1733,1735],{"className":1734},[581],[583,1736,1737],{"xmlns":585},[587,1738,1739,1743],{},[590,1740,1741],{},[672,1742,1699],{},[597,1744,1699],{"encoding":599},[574,1746,1748],{"className":1747,"ariaHidden":604},[603],[574,1749,1751,1754],{"className":1750},[608],[574,1752],{"className":1753,"style":1673},[612],[574,1755,1699],{"className":1756},[617]," Jahre. Die Annuität ist ",[574,1759,1761,1781],{"className":1760},[577],[574,1762,1764],{"className":1763},[581],[583,1765,1766],{"xmlns":585},[587,1767,1768,1778],{},[590,1769,1770,1772,1775],{},[593,1771,595],{},[656,1773,1774],{},"≈",[672,1776,1777],{},"2309,75",[597,1779,1780],{"encoding":599},"A \\approx 2309{,}75",[574,1782,1784,1802],{"className":1783,"ariaHidden":604},[603],[574,1785,1787,1790,1793,1796,1799],{"className":1786},[608],[574,1788],{"className":1789,"style":613},[612],[574,1791,595],{"className":1792},[617,618],[574,1794],{"className":1795,"style":761},[760],[574,1797,1774],{"className":1798},[765],[574,1800],{"className":1801,"style":761},[760],[574,1803,1805,1809,1813,1821],{"className":1804},[608],[574,1806],{"className":1807,"style":1808},[612],"height:0.8389em;vertical-align:-0.1944em;",[574,1810,1812],{"className":1811},[617],"2309",[574,1814,1816],{"className":1815},[617],[574,1817,1820],{"className":1818},[1819],"mpunct",",",[574,1822,1824],{"className":1823},[617],"75"," €. Alle Beträge in Euro:",[1827,1828,1829,1852],"table",{},[1830,1831,1832],"thead",{},[1833,1834,1835,1839,1842,1844,1846,1849],"tr",{},[1836,1837,1838],"th",{},"Jahr",[1836,1840,1841],{},"Restschuld Anfang",[1836,1843,632],{},[1836,1845,930],{},[1836,1847,1848],{},"Rate",[1836,1850,1851],{},"Restschuld Ende",[1853,1854,1855,1874,1892,1910,1928],"tbody",{},[1833,1856,1857,1860,1863,1866,1869,1871],{},[1858,1859,674],"td",{},[1858,1861,1862],{},"10 000,00",[1858,1864,1865],{},"500,00",[1858,1867,1868],{},"1809,75",[1858,1870,1777],{},[1858,1872,1873],{},"8190,25",[1833,1875,1876,1879,1881,1884,1887,1889],{},[1858,1877,1878],{},"2",[1858,1880,1873],{},[1858,1882,1883],{},"409,51",[1858,1885,1886],{},"1900,24",[1858,1888,1777],{},[1858,1890,1891],{},"6290,01",[1833,1893,1894,1897,1899,1902,1905,1907],{},[1858,1895,1896],{},"3",[1858,1898,1891],{},[1858,1900,1901],{},"314,50",[1858,1903,1904],{},"1995,25",[1858,1906,1777],{},[1858,1908,1909],{},"4294,76",[1833,1911,1912,1915,1917,1920,1923,1925],{},[1858,1913,1914],{},"4",[1858,1916,1909],{},[1858,1918,1919],{},"214,74",[1858,1921,1922],{},"2095,01",[1858,1924,1777],{},[1858,1926,1927],{},"2199,75",[1833,1929,1930,1932,1934,1937,1939,1942],{},[1858,1931,1699],{},[1858,1933,1927],{},[1858,1935,1936],{},"109,99",[1858,1938,1927],{},[1858,1940,1941],{},"2309,74",[1858,1943,1944],{},"0,00",[565,1946,1947,1948,2055,2056,2158,2159,2261,2262,925],{},"Jahr 2 im Detail: Zinsen ",[574,1949,1951,1974],{"className":1950},[577],[574,1952,1954],{"className":1953},[581],[583,1955,1956],{"xmlns":585},[587,1957,1958,1971],{},[590,1959,1960,1962,1964,1967,1969],{},[672,1961,1873],{},[656,1963,677],{},[672,1965,1966],{},"0,05",[656,1968,1774],{},[672,1970,1883],{},[597,1972,1973],{"encoding":599},"8190{,}25 \\cdot 0{,}05 \\approx 409{,}51",[574,1975,1977,2006,2035],{"className":1976,"ariaHidden":604},[603],[574,1978,1980,1983,1987,1993,1997,2000,2003],{"className":1979},[608],[574,1981],{"className":1982,"style":1808},[612],[574,1984,1986],{"className":1985},[617],"8190",[574,1988,1990],{"className":1989},[617],[574,1991,1820],{"className":1992},[1819],[574,1994,1996],{"className":1995},[617],"25",[574,1998],{"className":1999,"style":832},[760],[574,2001,677],{"className":2002},[813],[574,2004],{"className":2005,"style":832},[760],[574,2007,2009,2012,2016,2022,2026,2029,2032],{"className":2008},[608],[574,2010],{"className":2011,"style":1808},[612],[574,2013,2015],{"className":2014},[617],"0",[574,2017,2019],{"className":2018},[617],[574,2020,1820],{"className":2021},[1819],[574,2023,2025],{"className":2024},[617],"05",[574,2027],{"className":2028,"style":761},[760],[574,2030,1774],{"className":2031},[765],[574,2033],{"className":2034,"style":761},[760],[574,2036,2038,2041,2045,2051],{"className":2037},[608],[574,2039],{"className":2040,"style":1808},[612],[574,2042,2044],{"className":2043},[617],"409",[574,2046,2048],{"className":2047},[617],[574,2049,1820],{"className":2050},[1819],[574,2052,2054],{"className":2053},[617],"51",", Tilgung ",[574,2057,2059,2081],{"className":2058},[577],[574,2060,2062],{"className":2061},[581],[583,2063,2064],{"xmlns":585},[587,2065,2066,2078],{},[590,2067,2068,2070,2072,2074,2076],{},[672,2069,1777],{},[656,2071,670],{},[672,2073,1883],{},[656,2075,658],{},[672,2077,1886],{},[597,2079,2080],{"encoding":599},"2309{,}75 - 409{,}51 = 1900{,}24",[574,2082,2084,2111,2138],{"className":2083,"ariaHidden":604},[603],[574,2085,2087,2090,2093,2099,2102,2105,2108],{"className":2086},[608],[574,2088],{"className":2089,"style":1808},[612],[574,2091,1812],{"className":2092},[617],[574,2094,2096],{"className":2095},[617],[574,2097,1820],{"className":2098},[1819],[574,2100,1824],{"className":2101},[617],[574,2103],{"className":2104,"style":832},[760],[574,2106,670],{"className":2107},[813],[574,2109],{"className":2110,"style":832},[760],[574,2112,2114,2117,2120,2126,2129,2132,2135],{"className":2113},[608],[574,2115],{"className":2116,"style":1808},[612],[574,2118,2044],{"className":2119},[617],[574,2121,2123],{"className":2122},[617],[574,2124,1820],{"className":2125},[1819],[574,2127,2054],{"className":2128},[617],[574,2130],{"className":2131,"style":761},[760],[574,2133,658],{"className":2134},[765],[574,2136],{"className":2137,"style":761},[760],[574,2139,2141,2144,2148,2154],{"className":2140},[608],[574,2142],{"className":2143,"style":1808},[612],[574,2145,2147],{"className":2146},[617],"1900",[574,2149,2151],{"className":2150},[617],[574,2152,1820],{"className":2153},[1819],[574,2155,2157],{"className":2156},[617],"24",", Restschuld ",[574,2160,2162,2184],{"className":2161},[577],[574,2163,2165],{"className":2164},[581],[583,2166,2167],{"xmlns":585},[587,2168,2169,2181],{},[590,2170,2171,2173,2175,2177,2179],{},[672,2172,1873],{},[656,2174,670],{},[672,2176,1886],{},[656,2178,658],{},[672,2180,1891],{},[597,2182,2183],{"encoding":599},"8190{,}25 - 1900{,}24 = 6290{,}01",[574,2185,2187,2214,2241],{"className":2186,"ariaHidden":604},[603],[574,2188,2190,2193,2196,2202,2205,2208,2211],{"className":2189},[608],[574,2191],{"className":2192,"style":1808},[612],[574,2194,1986],{"className":2195},[617],[574,2197,2199],{"className":2198},[617],[574,2200,1820],{"className":2201},[1819],[574,2203,1996],{"className":2204},[617],[574,2206],{"className":2207,"style":832},[760],[574,2209,670],{"className":2210},[813],[574,2212],{"className":2213,"style":832},[760],[574,2215,2217,2220,2223,2229,2232,2235,2238],{"className":2216},[608],[574,2218],{"className":2219,"style":1808},[612],[574,2221,2147],{"className":2222},[617],[574,2224,2226],{"className":2225},[617],[574,2227,1820],{"className":2228},[1819],[574,2230,2157],{"className":2231},[617],[574,2233],{"className":2234,"style":761},[760],[574,2236,658],{"className":2237},[765],[574,2239],{"className":2240,"style":761},[760],[574,2242,2244,2247,2251,2257],{"className":2243},[608],[574,2245],{"className":2246,"style":1808},[612],[574,2248,2250],{"className":2249},[617],"6290",[574,2252,2254],{"className":2253},[617],[574,2255,1820],{"className":2256},[1819],[574,2258,2260],{"className":2259},[617],"01",". Kontrolle über den Zinsfaktor: ",[574,2263,2265,2288],{"className":2264},[577],[574,2266,2268],{"className":2267},[581],[583,2269,2270],{"xmlns":585},[587,2271,2272,2285],{},[590,2273,2274,2276,2278,2281,2283],{},[672,2275,1868],{},[656,2277,677],{},[672,2279,2280],{},"1,05",[656,2282,1774],{},[672,2284,1886],{},[597,2286,2287],{"encoding":599},"1809{,}75 \\cdot 1{,}05 \\approx 1900{,}24",[574,2289,2291,2319,2346],{"className":2290,"ariaHidden":604},[603],[574,2292,2294,2297,2301,2307,2310,2313,2316],{"className":2293},[608],[574,2295],{"className":2296,"style":1808},[612],[574,2298,2300],{"className":2299},[617],"1809",[574,2302,2304],{"className":2303},[617],[574,2305,1820],{"className":2306},[1819],[574,2308,1824],{"className":2309},[617],[574,2311],{"className":2312,"style":832},[760],[574,2314,677],{"className":2315},[813],[574,2317],{"className":2318,"style":832},[760],[574,2320,2322,2325,2328,2334,2337,2340,2343],{"className":2321},[608],[574,2323],{"className":2324,"style":1808},[612],[574,2326,674],{"className":2327},[617],[574,2329,2331],{"className":2330},[617],[574,2332,1820],{"className":2333},[1819],[574,2335,2025],{"className":2336},[617],[574,2338],{"className":2339,"style":761},[760],[574,2341,1774],{"className":2342},[765],[574,2344],{"className":2345,"style":761},[760],[574,2347,2349,2352,2355,2361],{"className":2348},[608],[574,2350],{"className":2351,"style":1808},[612],[574,2353,2147],{"className":2354},[617],[574,2356,2358],{"className":2357},[617],[574,2359,1820],{"className":2360},[1819],[574,2362,2157],{"className":2363},[617],[565,2365,2366,2367,2406,2407,2510,2511,2701],{},"Im letzten Jahr wird die Restschuld ",[574,2368,2370,2384],{"className":2369},[577],[574,2371,2373],{"className":2372},[581],[583,2374,2375],{"xmlns":585},[587,2376,2377,2381],{},[590,2378,2379],{},[672,2380,1927],{},[597,2382,2383],{"encoding":599},"2199{,}75",[574,2385,2387],{"className":2386,"ariaHidden":604},[603],[574,2388,2390,2393,2397,2403],{"className":2389},[608],[574,2391],{"className":2392,"style":1808},[612],[574,2394,2396],{"className":2395},[617],"2199",[574,2398,2400],{"className":2399},[617],[574,2401,1820],{"className":2402},[1819],[574,2404,1824],{"className":2405},[617]," € vollständig getilgt, die Schlussrate ist ",[574,2408,2410,2432],{"className":2409},[577],[574,2411,2413],{"className":2412},[581],[583,2414,2415],{"xmlns":585},[587,2416,2417,2429],{},[590,2418,2419,2421,2423,2425,2427],{},[672,2420,1936],{},[656,2422,1333],{},[672,2424,1927],{},[656,2426,658],{},[672,2428,1941],{},[597,2430,2431],{"encoding":599},"109{,}99 + 2199{,}75 = 2309{,}74",[574,2433,2435,2464,2491],{"className":2434,"ariaHidden":604},[603],[574,2436,2438,2441,2445,2451,2455,2458,2461],{"className":2437},[608],[574,2439],{"className":2440,"style":1808},[612],[574,2442,2444],{"className":2443},[617],"109",[574,2446,2448],{"className":2447},[617],[574,2449,1820],{"className":2450},[1819],[574,2452,2454],{"className":2453},[617],"99",[574,2456],{"className":2457,"style":832},[760],[574,2459,1333],{"className":2460},[813],[574,2462],{"className":2463,"style":832},[760],[574,2465,2467,2470,2473,2479,2482,2485,2488],{"className":2466},[608],[574,2468],{"className":2469,"style":1808},[612],[574,2471,2396],{"className":2472},[617],[574,2474,2476],{"className":2475},[617],[574,2477,1820],{"className":2478},[1819],[574,2480,1824],{"className":2481},[617],[574,2483],{"className":2484,"style":761},[760],[574,2486,658],{"className":2487},[765],[574,2489],{"className":2490,"style":761},[760],[574,2492,2494,2497,2500,2506],{"className":2493},[608],[574,2495],{"className":2496,"style":1808},[612],[574,2498,1812],{"className":2499},[617],[574,2501,2503],{"className":2502},[617],[574,2504,1820],{"className":2505},[1819],[574,2507,2509],{"className":2508},[617],"74"," €. Zinsen insgesamt: ",[574,2512,2514,2550],{"className":2513},[577],[574,2515,2517],{"className":2516},[581],[583,2518,2519],{"xmlns":585},[587,2520,2521,2547],{},[590,2522,2523,2526,2528,2530,2532,2534,2536,2538,2540,2542,2544],{},[672,2524,2525],{},"500",[656,2527,1333],{},[672,2529,1883],{},[656,2531,1333],{},[672,2533,1901],{},[656,2535,1333],{},[672,2537,1919],{},[656,2539,1333],{},[672,2541,1936],{},[656,2543,658],{},[672,2545,2546],{},"1548,74",[597,2548,2549],{"encoding":599},"500 + 409{,}51 + 314{,}50 + 214{,}74 + 109{,}99 = 1548{,}74",[574,2551,2553,2571,2598,2627,2655,2682],{"className":2552,"ariaHidden":604},[603],[574,2554,2556,2559,2562,2565,2568],{"className":2555},[608],[574,2557],{"className":2558,"style":1542},[612],[574,2560,2525],{"className":2561},[617],[574,2563],{"className":2564,"style":832},[760],[574,2566,1333],{"className":2567},[813],[574,2569],{"className":2570,"style":832},[760],[574,2572,2574,2577,2580,2586,2589,2592,2595],{"className":2573},[608],[574,2575],{"className":2576,"style":1808},[612],[574,2578,2044],{"className":2579},[617],[574,2581,2583],{"className":2582},[617],[574,2584,1820],{"className":2585},[1819],[574,2587,2054],{"className":2588},[617],[574,2590],{"className":2591,"style":832},[760],[574,2593,1333],{"className":2594},[813],[574,2596],{"className":2597,"style":832},[760],[574,2599,2601,2604,2608,2614,2618,2621,2624],{"className":2600},[608],[574,2602],{"className":2603,"style":1808},[612],[574,2605,2607],{"className":2606},[617],"314",[574,2609,2611],{"className":2610},[617],[574,2612,1820],{"className":2613},[1819],[574,2615,2617],{"className":2616},[617],"50",[574,2619],{"className":2620,"style":832},[760],[574,2622,1333],{"className":2623},[813],[574,2625],{"className":2626,"style":832},[760],[574,2628,2630,2633,2637,2643,2646,2649,2652],{"className":2629},[608],[574,2631],{"className":2632,"style":1808},[612],[574,2634,2636],{"className":2635},[617],"214",[574,2638,2640],{"className":2639},[617],[574,2641,1820],{"className":2642},[1819],[574,2644,2509],{"className":2645},[617],[574,2647],{"className":2648,"style":832},[760],[574,2650,1333],{"className":2651},[813],[574,2653],{"className":2654,"style":832},[760],[574,2656,2658,2661,2664,2670,2673,2676,2679],{"className":2657},[608],[574,2659],{"className":2660,"style":1808},[612],[574,2662,2444],{"className":2663},[617],[574,2665,2667],{"className":2666},[617],[574,2668,1820],{"className":2669},[1819],[574,2671,2454],{"className":2672},[617],[574,2674],{"className":2675,"style":761},[760],[574,2677,658],{"className":2678},[765],[574,2680],{"className":2681,"style":761},[760],[574,2683,2685,2688,2692,2698],{"className":2684},[608],[574,2686],{"className":2687,"style":1808},[612],[574,2689,2691],{"className":2690},[617],"1548",[574,2693,2695],{"className":2694},[617],[574,2696,1820],{"className":2697},[1819],[574,2699,2509],{"className":2700},[617]," €.",[560,2703,2705],{"id":2704},"typische-fehler","Typische Fehler",[2707,2708,2709,2712,2715],"ul",{},[628,2710,2711],{},"Die Zinsen auf den ursprünglichen Kreditbetrag berechnen statt auf die aktuelle Restschuld.",[628,2713,2714],{},"Zinsen statt Tilgung von der Restschuld abziehen. Die Schuld sinkt nur um die Tilgung.",[628,2716,2717,2718,2721,2722,925],{},"Die Zinsen auf die Restschuld vom ",[569,2719,2720],{},"Ende"," des Jahres berechnen. Verzinst wird die Schuld, die während des Jahres bestand, also ",[574,2723,2725,2749],{"className":2724},[577],[574,2726,2728],{"className":2727},[581],[583,2729,2730],{"xmlns":585},[587,2731,2732,2746],{},[590,2733,2734],{},[647,2735,2736,2738],{},[593,2737,663],{},[590,2739,2740,2742,2744],{},[593,2741,654],{},[656,2743,670],{},[672,2745,674],{},[597,2747,2748],{"encoding":599},"S_{k-1}",[574,2750,2752],{"className":2751,"ariaHidden":604},[603],[574,2753,2755,2758],{"className":2754},[608],[574,2756],{"className":2757,"style":775},[612],[574,2759,2761,2764],{"className":2760},[617],[574,2762,663],{"className":2763,"style":782},[617,618],[574,2765,2767],{"className":2766},[709],[574,2768,2770,2799],{"className":2769},[713,714],[574,2771,2773,2796],{"className":2772},[718],[574,2774,2776],{"className":2775,"style":723},[722],[574,2777,2778,2781],{"style":797},[574,2779],{"className":2780,"style":731},[730],[574,2782,2784],{"className":2783},[735,736,737,738],[574,2785,2787,2790,2793],{"className":2786},[617,738],[574,2788,654],{"className":2789,"style":742},[617,618,738],[574,2791,670],{"className":2792},[813,738],[574,2794,674],{"className":2795},[617,738],[574,2797,747],{"className":2798},[746],[574,2800,2802],{"className":2801},[718],[574,2803,2805],{"className":2804,"style":826},[722],[574,2806],{},{"title":2808,"searchDepth":2809,"depth":2809,"links":2810},"",2,[2811,2812,2813],{"id":562,"depth":2809,"text":563},{"id":1634,"depth":2809,"text":1635},{"id":2704,"depth":2809,"text":2705},[2815,2818,2820,2823,2826,2829,2832,2835,2838,2841,2844,2847,2850,2853,2856,2859,2862],{"lhs":2816,"rhs":2817},"A - (S - (A - S*p\u002F100))*p\u002F100","(A - S*p\u002F100)*(1 + p\u002F100)",{"lhs":2819,"rhs":2525},"10000 * 0.05",{"lhs":2821,"rhs":2822},"2309.75 - 500","1809.75",{"lhs":2824,"rhs":2825},"10000 - 1809.75","8190.25",{"lhs":2827,"rhs":2828},"round(8190.25 * 0.05, 2)","409.51",{"lhs":2830,"rhs":2831},"2309.75 - 409.51","1900.24",{"lhs":2833,"rhs":2834},"8190.25 - 1900.24","6290.01",{"lhs":2836,"rhs":2837},"round(6290.01 * 0.05, 2)","314.50",{"lhs":2839,"rhs":2840},"2309.75 - 314.50","1995.25",{"lhs":2842,"rhs":2843},"6290.01 - 1995.25","4294.76",{"lhs":2845,"rhs":2846},"round(4294.76 * 0.05, 2)","214.74",{"lhs":2848,"rhs":2849},"2309.75 - 214.74","2095.01",{"lhs":2851,"rhs":2852},"4294.76 - 2095.01","2199.75",{"lhs":2854,"rhs":2855},"round(2199.75 * 0.05, 2)","109.99",{"lhs":2857,"rhs":2858},"109.99 + 2199.75","2309.74",{"lhs":2860,"rhs":2861},"500 + 409.51 + 314.50 + 214.74 + 109.99","1548.74",{"lhs":2863,"rhs":2831},"round(1809.75 * 1.05, 2)","k = 1, \\ldots, n,\\ S_0 = K_0","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>k\u003C\u002Fmi>\u003Cmo>=\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmo>…\u003C\u002Fmo>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">k = 1, \\ldots,\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0315em;\">k\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8389em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">1\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"minner\">…\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>n\u003C\u002Fmi>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmsub>\u003Cmi>S\u003C\u002Fmi>\u003Cmn>0\u003C\u002Fmn>\u003C\u002Fmsub>\u003Cmo>=\u003C\u002Fmo>\u003Cmsub>\u003Cmi>K\u003C\u002Fmi>\u003Cmn>0\u003C\u002Fmn>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">n, S_0 = K_0\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8778em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">n\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0576em;\">S\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3011em;\">\u003Cspan style=\"top:-2.55em;margin-left:-0.0576em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">0\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">K\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3011em;\">\u003Cspan style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">0\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",null,"md","loan-amortization","Z_k = S_{k-1} \\cdot \\frac{p}{100}, \\quad T_k = A - Z_k, \\quad S_k = S_{k-1} - T_k","\u003Cspan class=\"katex-display\">\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\" display=\"block\">\u003Csemantics>\u003Cmrow>\u003Cmsub>\u003Cmi>Z\u003C\u002Fmi>\u003Cmi>k\u003C\u002Fmi>\u003C\u002Fmsub>\u003Cmo>=\u003C\u002Fmo>\u003Cmsub>\u003Cmi>S\u003C\u002Fmi>\u003Cmrow>\u003Cmi>k\u003C\u002Fmi>\u003Cmo>−\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmrow>\u003C\u002Fmsub>\u003Cmo>⋅\u003C\u002Fmo>\u003Cmfrac>\u003Cmi>p\u003C\u002Fmi>\u003Cmn>100\u003C\u002Fmn>\u003C\u002Fmfrac>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmspace width=\"1em\"\u002F>\u003Cmsub>\u003Cmi>T\u003C\u002Fmi>\u003Cmi>k\u003C\u002Fmi>\u003C\u002Fmsub>\u003Cmo>=\u003C\u002Fmo>\u003Cmi>A\u003C\u002Fmi>\u003Cmo>−\u003C\u002Fmo>\u003Cmsub>\u003Cmi>Z\u003C\u002Fmi>\u003Cmi>k\u003C\u002Fmi>\u003C\u002Fmsub>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmspace width=\"1em\"\u002F>\u003Cmsub>\u003Cmi>S\u003C\u002Fmi>\u003Cmi>k\u003C\u002Fmi>\u003C\u002Fmsub>\u003Cmo>=\u003C\u002Fmo>\u003Cmsub>\u003Cmi>S\u003C\u002Fmi>\u003Cmrow>\u003Cmi>k\u003C\u002Fmi>\u003Cmo>−\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmrow>\u003C\u002Fmsub>\u003Cmo>−\u003C\u002Fmo>\u003Cmsub>\u003Cmi>T\u003C\u002Fmi>\u003Cmi>k\u003C\u002Fmi>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">Z_k = S_{k-1} \\cdot \\frac{p}{100}, \\quad T_k = A - Z_k, \\quad S_k = S_{k-1} - T_k\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">Z\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3361em;\">\u003Cspan style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mathnormal mtight\" style=\"margin-right:0.0315em;\">k\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8917em;vertical-align:-0.2083em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0576em;\">S\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3361em;\">\u003Cspan style=\"top:-2.55em;margin-left:-0.0576em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mathnormal mtight\" style=\"margin-right:0.0315em;\">k\u003C\u002Fspan>\u003Cspan class=\"mbin mtight\">−\u003C\u002Fspan>\u003Cspan class=\"mord mtight\">1\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.2083em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mbin\">⋅\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1.7936em;vertical-align:-0.686em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mopen nulldelimiter\">\u003C\u002Fspan>\u003Cspan class=\"mfrac\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:1.1076em;\">\u003Cspan style=\"top:-2.314em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord\">100\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.23em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"frac-line\" style=\"border-bottom-width:0.04em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.677em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">p\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.686em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose nulldelimiter\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:1em;\">\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">T\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3361em;\">\u003Cspan style=\"top:-2.55em;margin-left:-0.1389em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mathnormal mtight\" style=\"margin-right:0.0315em;\">k\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.7667em;vertical-align:-0.0833em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">A\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mbin\">−\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8778em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">Z\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3361em;\">\u003Cspan style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mathnormal mtight\" style=\"margin-right:0.0315em;\">k\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:1em;\">\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0576em;\">S\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3361em;\">\u003Cspan style=\"top:-2.55em;margin-left:-0.0576em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mathnormal mtight\" style=\"margin-right:0.0315em;\">k\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8917em;vertical-align:-0.2083em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0576em;\">S\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3361em;\">\u003Cspan style=\"top:-2.55em;margin-left:-0.0576em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mathnormal mtight\" style=\"margin-right:0.0315em;\">k\u003C\u002Fspan>\u003Cspan class=\"mbin mtight\">−\u003C\u002Fspan>\u003Cspan class=\"mord mtight\">1\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.2083em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan 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xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>k\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">k\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0315em;\">k\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":2894,"meaning":2895,"symbolHtml":2896},"K_0","Kreditbetrag (Darlehenssumme) zu Beginn","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmsub>\u003Cmi>K\u003C\u002Fmi>\u003Cmn>0\u003C\u002Fmn>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003Cannotation 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style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":2898,"meaning":2899,"symbolHtml":2900},"S_k","Restschuld am Ende von Jahr k, S₀ ist der Kreditbetrag","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmsub>\u003Cmi>S\u003C\u002Fmi>\u003Cmi>k\u003C\u002Fmi>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">S_k\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" 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class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>p\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">p\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.625em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">p\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","KQ0YfGY7OcFaQkGHJeD2SiA6bXdmzgWtttKscHAURGo",[2917,2920,2923],{"stem":2918,"title":2919,"category":65},"de\u002Fformulas\u002Fmath\u002Farithmetic\u002Fannuitaet","Annuität",{"stem":2921,"title":2922,"category":65},"de\u002Fformulas\u002Fmath\u002Farithmetic\u002Fjahreszinsen","Jahreszinsen",{"stem":2924,"title":2925,"category":208},"de\u002Fformulas\u002Fmath\u002Ffunctions\u002Fzinseszins","Zinseszins",1793824260351]