\ubcf5\ub9ac\ubc95 \uc774\uc790 \uacc4\uc0b0 \uad00\ub828\ud574\uc11c \uc7ac\ubbf8\uc788\ub294 \uc8fc\uc81c\uac00 \uc788\uc5b4\uc11c \uc801\uc5b4\ubd05\ub2c8\ub2e4.<\/p>\n
100\ub9cc\uc6d0\uc774 \uc788\uc2b5\ub2c8\ub2e4. \uc5f0\uc774\uc728 5%\ub85c \uc740\ud589\uc5d0 \ub9e1\uae30\ub824\uace0 \ud569\ub2c8\ub2e4. \ubcf5\ub9ac\ub85c \uc774\uc790\uacc4\uc0b0\uc774 \uae30\ubcf8\uc774\ub2c8\uae50 1\ub144, 2\ub144\uc774 \uc9c0\ub098\uba74 \ub2e4\uc74c\uacfc \uac19\uc774 \uc6d0\uae08\uc774 \ubd88\uc5b4\ub098\uaca0\uc8e0<\/p>\n
100 \\rightarrow 100(1+0.05)^1 \\rightarrow 100(1+0.05)^2 <\/span>\n \uba3c\uc800 1\ub144 \ud6c4\ub85c \ud55c\uc815\ud574\uc11c \ucd1d \uc790\uc0b0\uc744 \ub17c\uc758 \ud574 \ubd05\uc2dc\ub2e4. \ucd1d \uc790\uc0b0\uc744 y\ub77c\uace0 \ud558\uba74<\/p>\n y= 100 \\xrightarrow{1\\,year}100(1+0.05) <\/span>\n \uadf8\ub7f0\ub370 \ub9cc\uc57d \uc5b4\ub5a4 \ud22c\uc790\uc790\uc758 \uc81c\uc548\uc73c\ub85c \uc5f0\uc774\uc728\uc744 \ubc18\uc73c\ub85c \ud558\ub294 \ub300\uc2e0 6\uac1c\uc6d4 2.5% \ubcf5\ub9ac\ub85c \ud55c\ub2e4\uba74 \uc5b4\ub5a8\uae4c\uc694?<\/p>\n y= 100 \\xrightarrow{6\\,month} 100\\left(1+\\frac{0.05}{2}\\right) \\xrightarrow{6\\,month} 100\\left(1+\\frac{0.05}{2}\\right)^2 <\/span>\n \uc774\ub7f0 \uc2dd\uc73c\ub85c \uacc4\uc18d\ud558\uba74 \uc5f0\uc774\uc728\ub85c \uc774\uc790\uac00 \ud55c \ubc88 \ubd99\ub294 \uac83 \ub300\uc2e0\uc5d0 1\ub144\uc5d0 \uc774\uc790\uac00 n\ubc88 \ubc1c\uc0dd\ud558\uace0 \ub300\uc2e0 \uc5f0\uc774\uc728\ub3c4 n\uc73c\ub85c \ub354 \uc798\uac8c \ucabc\uac1c\uace0 \uc77c\ubc18\uc801\uc73c\ub85c \uc5f0\uc774\uc728\uc774 r\uc778 \uc740\ud589\uc5d0 100\ub9cc\uc6d0\uc744 \ub9e1\uae34\ub2e4\uace0 \ud569\uc2dc\ub2e4. \uadf8\ub7fc 1\ub144 \ub4a4\uc5d0 \uc6d0\uae08\uc740 \ub2e4\uc74c\uacfc \uac19\uc774 \ub418\uaca0\uc8e0.<\/p>\n 100(1+\\frac{r}{n})^n <\/span>\n \uc774\uc81c n\uc758 \ud69f\uc218\ub97c \ubb34\ud55c\ud788 \ub298\ub824\uc11c \uadf9\ud55c\uac12\uc744 \uad6c\ud574\ubd05\uc2dc\ub2e4.<\/p>\n \\lim \\limits_{n\\to\\infty}100(1+\\frac{r}{n})^n \\\\ = \\lim \\limits_{n\\to\\infty}100((1+\\frac{r}{n})^{\\frac{n}{r}})^r = 100 e^r <\/span>\n \uc774 \ub429\ub2c8\ub2e4. \uc790\uc5f0\ub85c\uadf8\uc758 \ubc11 e\uc758 \uc815\uc758\uac00 (1+0)^\\infty <\/span> \ud615\ud0dc\uc774\ubbc0\ub85c \uc704\uc640 \uac19\uc774 \uc218\ub834\ud558\uac8c \ub429\ub2c8\ub2e4. e\uc758 1.05\uc81c\uacf1\uc774 \uc57d 5.127% \uc815\ub3c4 \ub418\uac70\ub4e0\uc694. \uc5f0\uc774\uc728 5% \ub300\ube44 \uc870\uae08 \uc774\ub4dd? \uc774\uae34 \ud558\uaca0\ub124\uc694.<\/p>\n 1\ub144 \ub300\uc2e0 \uae30\uac04\uc774 t\ub144 \uc774\ub77c\uace0 \ud558\uace0 \uc6d0\uae08 100=A \ub85c \ub193\uc73c\uba74<\/p>\n \\lim \\limits_{n \\to \\infty}y(t)\u00a0= \\lim \\limits_{n \\to \\infty}A\\left(1+\\frac{r}{n}\\right)^{nt} =Ae^{rt}<\/span>\n \uc774 \ub429\ub2c8\ub2e4. \uc774\uc81c \uc774 \uacb0\uacfc\ub97c \uae30\uc5b5\ud574\ub450\uace0 \ubaa8\ub378\ub9c1\uc744 \ud1b5\ud574 \ube44\uad50 \ud574\ubd05\uc2dc\ub2e4.<\/p>\n \ubaa8\ub378\ub9c1: \\frac{dy}{dt}=ry <\/span> \uc790\uc0b0\uc758 \ubcc0\ud654\uc728\uc740 \ud604\uc7ac \uc790\uc0b0\uc5d0 \uc774\uc728\uc5d0 \ube44\ub840\ud558\uc5ec \ubcc0\ud55c\ub2e4\uace0 \ud569\uc2dc\ub2e4. \ubcc0\uc218\ubd84\ub9ac\ubc95 \ubbf8\ubd84\ubc29\uc815\uc2dd\uc758 \ud615\ud0dc\ub85c \ub2e4\uc74c\uacfc \uac19\uc774 \uc4f8 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n \\int\\frac{1}{y}\\,dy = r\\int\\,dt <\/span>\n \\ln y = rt +C <\/span>\n \\therefore y(t)=e^{rt+C} <\/span>\n \ucd08\uae30\uc870\uac74 y(0)=A=100 \uc744 \ub300\uc785\ud574\uc11c C\ub97c \uad6c\ud558\uace0 \uc815\ub9ac\ud558\uba74<\/p>\n y(t)=Ae^{rt} <\/span>\n \ub450 \uacb0\uacfc\uac00 \ub3d9\uc77c\ud569\ub2c8\ub2e4. \uacb0\uad6d \uc704\uc640 \uac19\uc740 \uae34 \ub17c\ub9ac\uac00 \ud568\ucd95\uc801\uc73c\ub85c \uc2dd\uc73c\ub85c \ud45c\ud604\ud55c \uac83\uc774 \ubbf8\ubd84\ubc29\uc815\uc2dd\uc774\ub77c \ud560 \uc218 \uc788\uaca0\ub124\uc694.<\/p>\n","protected":false},"excerpt":{"rendered":" \uc774\uc790\ub97c \uacc4\uc0b0\ud560 \ub54c \uc5f0\uc774\uc728\uc744 \ud55c \ubc88 \ubc1b\ub294 \uac8c \uc88b\uc744\uae4c? \uc544\ub2c8\uba74 \ubc18\uae30 \uc774\uc728\ub85c \ub450 \ubc88 \ubc1b\ub294 \uac8c \uc88b\uc744\uae4c? \uc640 \uad00\ub828\ub41c \ubb38\uc81c\uc785\ub2c8\ub2e4. \uc5f0\uc774\uc728\uc774 \uc2dc\uac04\uc5d0 \ub300\ud574 \uc5f0\uc18d\uc801\uc778 \uacbd\uc6b0\uc5d0 \ub300\ud55c \ub0b4\uc6a9\uc774\uae30\ub3c4 \ud569\ub2c8\ub2e4.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_sitemap_exclude":false,"_sitemap_priority":"","_sitemap_frequency":""},"categories":[349],"tags":[347,346,54,345],"_links":{"self":[{"href":"https:\/\/mightyfriend.net\/index.php?rest_route=\/wp\/v2\/posts\/5899"}],"collection":[{"href":"https:\/\/mightyfriend.net\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mightyfriend.net\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mightyfriend.net\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mightyfriend.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=5899"}],"version-history":[{"count":57,"href":"https:\/\/mightyfriend.net\/index.php?rest_route=\/wp\/v2\/posts\/5899\/revisions"}],"predecessor-version":[{"id":6149,"href":"https:\/\/mightyfriend.net\/index.php?rest_route=\/wp\/v2\/posts\/5899\/revisions\/6149"}],"wp:attachment":[{"href":"https:\/\/mightyfriend.net\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=5899"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mightyfriend.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=5899"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mightyfriend.net\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=5899"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}