{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2025-12-14T01:33:56.000Z","description":"Problems submitted by members of the MATLAB Central community.","is_default":true,"created_by":161519,"badge_id":null,"featured":false,"trending":false,"solution_count_in_trending_period":0,"trending_last_calculated":"2025-12-14T00:00:00.000Z","image_id":null,"published":true,"community_created":false,"status_id":2,"is_default_group_for_player":false,"deleted_by":null,"deleted_at":null,"restored_by":null,"restored_at":null,"description_opc":null,"description_html":null,"published_at":null},"problems":[{"id":56100,"title":"Compound Interest: Present Value","description":"Theorem : Compound Interest\r\n\r\nwhere,\r\nF : Future value at the end of n periods\r\nP : Present value\r\nr : Annual nominal rate\r\nn : Total number of compounding periods\r\nCalculate P, given F, r and n. Round to the nearest cent.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 213.741px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 406.997px 106.87px; transform-origin: 406.997px 106.87px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21.0018px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.996px 10.5009px; text-align: left; transform-origin: 383.996px 10.5009px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eTheorem : Compound Interest\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21.0018px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.996px 10.5009px; text-align: left; transform-origin: 383.996px 10.5009px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"89\" height=\"19.5\" style=\"width: 89px; height: 19.5px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21.0018px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.996px 10.5009px; text-align: left; transform-origin: 383.996px 10.5009px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003ewhere,\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7555px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 390.993px 40.8778px; transform-origin: 390.998px 40.8778px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eF : Future value at the end of n periods\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eP : Present value\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003er : Annual nominal rate\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003en : Total number of compounding periods\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21.0018px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.996px 10.5009px; text-align: left; transform-origin: 383.996px 10.5009px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eCalculate P, given F, r and n. Round to the nearest cent.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function P = compoundPresent(F,r,n)\r\n\r\nend","test_suite":"%%\r\nF = 100;\r\nr = 0.07;\r\nn = 5;\r\nP = 71.30;\r\nassert(abs(compoundPresent(F,r,n)-P)\u003c=1e-2)\r\n\r\n%%\r\nF = 200;\r\nr = 0.045;\r\nn = 14;\r\nP = 107.99;\r\nassert(abs(compoundPresent(F,r,n)-P)\u003c=1e-2)\r\n\r\n\r\n%%\r\nF = 184.74;\r\nr = 0.018;\r\nn = 5;\r\nP = 168.97;\r\nassert(abs(compoundPresent(F,r,n)-P)\u003c=1e-2)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":8703,"edited_by":8703,"edited_at":"2022-10-01T16:50:48.000Z","deleted_by":null,"deleted_at":null,"solvers_count":54,"test_suite_updated_at":"2022-10-01T16:49:27.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-30T05:16:46.000Z","updated_at":"2026-04-02T11:11:35.000Z","published_at":"2022-09-30T16:56:20.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTheorem : Compound Interest\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF = P(1+r)^n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere,\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eF : Future value at the end of n periods\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eP : Present value\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003er : Annual nominal rate\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003en : Total number of compounding periods\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCalculate P, given F, r and n. Round to the nearest cent.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":56095,"title":"Compound Interest : Future Value","description":"Theorem : Compound Interest\r\n\r\nwhere,\r\nF : Future value at the end of n periods\r\nP : Present value\r\nr : Annual nominal rate\r\nn : Total number of compounding periods\r\nCalculate F, given P, r and n. Round to the nearest cent.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 213.741px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 406.997px 106.87px; transform-origin: 406.997px 106.87px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21.0018px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.996px 10.5009px; text-align: left; transform-origin: 383.996px 10.5009px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eTheorem : Compound Interest\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21.0018px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.996px 10.5009px; text-align: left; transform-origin: 383.996px 10.5009px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"89\" height=\"19.5\" style=\"width: 89px; height: 19.5px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21.0018px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.996px 10.5009px; text-align: left; transform-origin: 383.996px 10.5009px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003ewhere,\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7555px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 390.993px 40.8778px; transform-origin: 390.998px 40.8778px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eF : Future value at the end of n periods\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eP : Present value\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003er : Annual nominal rate\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003en : Total number of compounding periods\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21.0018px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.996px 10.5009px; text-align: left; transform-origin: 383.996px 10.5009px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eCalculate F, given P, r and n. Round to the nearest cent.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function F = compoundFuture(P,r,n)\r\n\r\nend","test_suite":"%%\r\nP = 100;\r\nr = 0.05;\r\nn = 30;\r\nF = 432.19;\r\nassert(abs(compoundFuture(P,r,n)-F)\u003c=1e-2)\r\n\r\n%%\r\nP = 850;\r\nr = 0.039;\r\nn = 14;\r\nF = 1452.23;\r\nassert(abs(compoundFuture(P,r,n)-F)\u003c=1e-2)\r\n\r\n%%\r\nP = 10000;\r\nr = 0.014;\r\nn = 12;\r\nF = 11815.59;\r\nassert(abs(compoundFuture(P,r,n)-F)\u003c=1e-2)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":8703,"edited_by":8703,"edited_at":"2022-10-01T16:22:56.000Z","deleted_by":null,"deleted_at":null,"solvers_count":79,"test_suite_updated_at":"2022-10-01T16:22:56.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-30T05:07:26.000Z","updated_at":"2026-02-06T15:37:13.000Z","published_at":"2022-09-30T16:56:35.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTheorem : Compound Interest\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF = P(1+r)^n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere,\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eF : Future value at the end of n periods\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eP : Present value\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003er : Annual nominal rate\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003en : Total number of compounding periods\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCalculate F, given P, r and n. Round to the nearest cent.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":56120,"title":"Compound Interest : Compounding Periods","description":"Theorem : Compound Interest\r\n\r\nwhere,\r\nF : Future value at the end of n periods\r\nP : Present value\r\nr : Annual nominal rate\r\nn : Total number of compounding periods\r\nCalculate n, given F, P and r. ","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 213.741px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 406.997px 106.87px; transform-origin: 406.997px 106.87px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21.0018px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.996px 10.5009px; text-align: left; transform-origin: 383.996px 10.5009px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; 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height: 19.5px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21.0018px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.996px 10.5009px; text-align: left; transform-origin: 383.996px 10.5009px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003ewhere,\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7555px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 390.993px 40.8778px; transform-origin: 390.998px 40.8778px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eF : Future value at the end of n periods\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eP : Present value\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003er : Annual nominal rate\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003en : Total number of compounding periods\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21.0018px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.996px 10.5009px; text-align: left; transform-origin: 383.996px 10.5009px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eCalculate n, given F, P and r. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function n = compoundMaturity(F,P,r)\r\n\r\nend","test_suite":"%%\r\nF = 100;\r\nP = 50;\r\nr = 0.05;\r\nn = 14.21;\r\nassert(abs(compoundMaturity(F,P,r) - n ) \u003c= 1e-2)\r\n\r\n%%\r\nF = 1467;\r\nP = 467;\r\nr = 0.0123;\r\nn = 93.63;\r\nassert(abs(compoundMaturity(F,P,r) - n )\u003c= 1e-2)\r\n\r\n\r\n%%\r\nF = 1500;\r\nP = 380;\r\nr = 0.0567;\r\nn = 24.90;\r\nassert(abs(compoundMaturity(F,P,r) - n) \u003c= 1e-2)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":8703,"edited_by":8703,"edited_at":"2022-10-01T16:27:13.000Z","deleted_by":null,"deleted_at":null,"solvers_count":31,"test_suite_updated_at":"2022-10-01T16:27:13.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-30T05:22:51.000Z","updated_at":"2026-02-16T16:24:46.000Z","published_at":"2022-09-30T16:55:48.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTheorem : Compound Interest\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF = P(1+r)^n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere,\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eF : Future value at the end of n periods\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eP : Present value\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003er : Annual nominal rate\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003en : Total number of compounding periods\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCalculate n, given F, P and r. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":56105,"title":"Compound Interest: Interest Rate","description":"Theorem : Compound Interest\r\n\r\nwhere,\r\nF : Future value at the end of n periods\r\nP : Present value\r\nr : Annual nominal rate\r\nn : Total number of compounding periods\r\nCalculate r, given F, P and n. 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margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 390.993px 40.8778px; transform-origin: 390.998px 40.8778px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eF : Future value at the end of n periods\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eP : Present value\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003er : Annual nominal rate\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003en : Total number of compounding periods\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21.0018px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.996px 10.5009px; text-align: left; transform-origin: 383.996px 10.5009px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eCalculate r, given F, P and n. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function r = compoundRate(F,P,n)\r\n\r\nend","test_suite":"%%\r\nF = 500;\r\nP = 100;\r\nn = 10;\r\nr = 0.1746;\r\nassert(abs(compoundRate(F,P,n)-r) \u003c= 1e-2)\r\n\r\n%%\r\nF = 10000;\r\nP = 9000;\r\nn = 2;\r\nr = 0.054;\r\nassert(abs(compoundRate(F,P,n)-r )\u003c= 1e-2)\r\n\r\n\r\n%%\r\nF = 320;\r\nP = 40;\r\nn = 75;\r\nr = 0.0281;\r\nassert(abs(compoundRate(F,P,n)-r )\u003c= 1e-2)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":8703,"edited_by":8703,"edited_at":"2022-10-01T16:26:10.000Z","deleted_by":null,"deleted_at":null,"solvers_count":60,"test_suite_updated_at":"2022-10-01T16:26:10.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-30T05:20:21.000Z","updated_at":"2026-02-16T16:39:39.000Z","published_at":"2022-09-30T16:56:03.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTheorem : Compound Interest\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF = P(1+r)^n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere,\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eF : Future value at the end of n periods\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eP : Present value\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003er : Annual nominal rate\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003en : Total number of compounding periods\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCalculate r, given F, P and n. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"}],"problem_search":{"errors":[],"problems":[{"id":56100,"title":"Compound Interest: Present Value","description":"Theorem : Compound Interest\r\n\r\nwhere,\r\nF : Future value at the end of n periods\r\nP : Present value\r\nr : Annual nominal rate\r\nn : Total number of compounding periods\r\nCalculate P, given F, r and n. Round to the nearest cent.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 213.741px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 406.997px 106.87px; transform-origin: 406.997px 106.87px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21.0018px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.996px 10.5009px; text-align: left; transform-origin: 383.996px 10.5009px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eTheorem : Compound Interest\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21.0018px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.996px 10.5009px; text-align: left; transform-origin: 383.996px 10.5009px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"89\" height=\"19.5\" style=\"width: 89px; height: 19.5px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21.0018px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.996px 10.5009px; text-align: left; transform-origin: 383.996px 10.5009px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003ewhere,\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7555px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 390.993px 40.8778px; transform-origin: 390.998px 40.8778px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eF : Future value at the end of n periods\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eP : Present value\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003er : Annual nominal rate\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003en : Total number of compounding periods\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21.0018px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.996px 10.5009px; text-align: left; transform-origin: 383.996px 10.5009px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eCalculate P, given F, r and n. Round to the nearest cent.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function P = compoundPresent(F,r,n)\r\n\r\nend","test_suite":"%%\r\nF = 100;\r\nr = 0.07;\r\nn = 5;\r\nP = 71.30;\r\nassert(abs(compoundPresent(F,r,n)-P)\u003c=1e-2)\r\n\r\n%%\r\nF = 200;\r\nr = 0.045;\r\nn = 14;\r\nP = 107.99;\r\nassert(abs(compoundPresent(F,r,n)-P)\u003c=1e-2)\r\n\r\n\r\n%%\r\nF = 184.74;\r\nr = 0.018;\r\nn = 5;\r\nP = 168.97;\r\nassert(abs(compoundPresent(F,r,n)-P)\u003c=1e-2)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":8703,"edited_by":8703,"edited_at":"2022-10-01T16:50:48.000Z","deleted_by":null,"deleted_at":null,"solvers_count":54,"test_suite_updated_at":"2022-10-01T16:49:27.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-30T05:16:46.000Z","updated_at":"2026-04-02T11:11:35.000Z","published_at":"2022-09-30T16:56:20.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTheorem : Compound Interest\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF = P(1+r)^n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere,\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eF : Future value at the end of n periods\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eP : Present value\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003er : Annual nominal rate\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003en : Total number of compounding periods\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCalculate P, given F, r and n. Round to the nearest cent.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":56095,"title":"Compound Interest : Future Value","description":"Theorem : Compound Interest\r\n\r\nwhere,\r\nF : Future value at the end of n periods\r\nP : Present value\r\nr : Annual nominal rate\r\nn : Total number of compounding periods\r\nCalculate F, given P, r and n. Round to the nearest cent.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 213.741px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 406.997px 106.87px; transform-origin: 406.997px 106.87px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21.0018px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.996px 10.5009px; text-align: left; transform-origin: 383.996px 10.5009px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eTheorem : Compound Interest\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21.0018px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.996px 10.5009px; text-align: left; transform-origin: 383.996px 10.5009px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"89\" height=\"19.5\" style=\"width: 89px; height: 19.5px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21.0018px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.996px 10.5009px; text-align: left; transform-origin: 383.996px 10.5009px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003ewhere,\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7555px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 390.993px 40.8778px; transform-origin: 390.998px 40.8778px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eF : Future value at the end of n periods\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eP : Present value\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003er : Annual nominal rate\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003en : Total number of compounding periods\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21.0018px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.996px 10.5009px; text-align: left; transform-origin: 383.996px 10.5009px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eCalculate F, given P, r and n. Round to the nearest cent.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function F = compoundFuture(P,r,n)\r\n\r\nend","test_suite":"%%\r\nP = 100;\r\nr = 0.05;\r\nn = 30;\r\nF = 432.19;\r\nassert(abs(compoundFuture(P,r,n)-F)\u003c=1e-2)\r\n\r\n%%\r\nP = 850;\r\nr = 0.039;\r\nn = 14;\r\nF = 1452.23;\r\nassert(abs(compoundFuture(P,r,n)-F)\u003c=1e-2)\r\n\r\n%%\r\nP = 10000;\r\nr = 0.014;\r\nn = 12;\r\nF = 11815.59;\r\nassert(abs(compoundFuture(P,r,n)-F)\u003c=1e-2)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":8703,"edited_by":8703,"edited_at":"2022-10-01T16:22:56.000Z","deleted_by":null,"deleted_at":null,"solvers_count":79,"test_suite_updated_at":"2022-10-01T16:22:56.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-30T05:07:26.000Z","updated_at":"2026-02-06T15:37:13.000Z","published_at":"2022-09-30T16:56:35.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTheorem : Compound Interest\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF = P(1+r)^n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere,\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eF : Future value at the end of n periods\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eP : Present value\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003er : Annual nominal rate\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003en : Total number of compounding periods\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCalculate F, given P, r and n. Round to the nearest cent.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":56120,"title":"Compound Interest : Compounding Periods","description":"Theorem : Compound Interest\r\n\r\nwhere,\r\nF : Future value at the end of n periods\r\nP : Present value\r\nr : Annual nominal rate\r\nn : Total number of compounding periods\r\nCalculate n, given F, P and r. ","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 213.741px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 406.997px 106.87px; transform-origin: 406.997px 106.87px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21.0018px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.996px 10.5009px; text-align: left; transform-origin: 383.996px 10.5009px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; 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margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 390.993px 40.8778px; transform-origin: 390.998px 40.8778px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eF : Future value at the end of n periods\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eP : Present value\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003er : Annual nominal rate\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003en : Total number of compounding periods\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21.0018px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.996px 10.5009px; text-align: left; transform-origin: 383.996px 10.5009px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eCalculate n, given F, P and r. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function n = compoundMaturity(F,P,r)\r\n\r\nend","test_suite":"%%\r\nF = 100;\r\nP = 50;\r\nr = 0.05;\r\nn = 14.21;\r\nassert(abs(compoundMaturity(F,P,r) - n ) \u003c= 1e-2)\r\n\r\n%%\r\nF = 1467;\r\nP = 467;\r\nr = 0.0123;\r\nn = 93.63;\r\nassert(abs(compoundMaturity(F,P,r) - n )\u003c= 1e-2)\r\n\r\n\r\n%%\r\nF = 1500;\r\nP = 380;\r\nr = 0.0567;\r\nn = 24.90;\r\nassert(abs(compoundMaturity(F,P,r) - n) \u003c= 1e-2)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":8703,"edited_by":8703,"edited_at":"2022-10-01T16:27:13.000Z","deleted_by":null,"deleted_at":null,"solvers_count":31,"test_suite_updated_at":"2022-10-01T16:27:13.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-30T05:22:51.000Z","updated_at":"2026-02-16T16:24:46.000Z","published_at":"2022-09-30T16:55:48.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTheorem : Compound Interest\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF = P(1+r)^n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere,\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eF : Future value at the end of n periods\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eP : Present value\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003er : Annual nominal rate\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003en : Total number of compounding periods\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCalculate n, given F, P and r. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":56105,"title":"Compound Interest: Interest Rate","description":"Theorem : Compound Interest\r\n\r\nwhere,\r\nF : Future value at the end of n periods\r\nP : Present value\r\nr : Annual nominal rate\r\nn : Total number of compounding periods\r\nCalculate r, given F, P and n. ","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 213.741px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 406.997px 106.87px; transform-origin: 406.997px 106.87px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21.0018px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.996px 10.5009px; text-align: left; transform-origin: 383.996px 10.5009px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eTheorem : Compound Interest\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21.0018px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.996px 10.5009px; text-align: left; transform-origin: 383.996px 10.5009px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg 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font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 390.993px 40.8778px; transform-origin: 390.998px 40.8778px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eF : Future value at the end of n periods\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eP : Present value\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003er : Annual nominal rate\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003en : Total number of compounding periods\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21.0018px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.996px 10.5009px; text-align: left; transform-origin: 383.996px 10.5009px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eCalculate r, given F, P and n. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function r = compoundRate(F,P,n)\r\n\r\nend","test_suite":"%%\r\nF = 500;\r\nP = 100;\r\nn = 10;\r\nr = 0.1746;\r\nassert(abs(compoundRate(F,P,n)-r) \u003c= 1e-2)\r\n\r\n%%\r\nF = 10000;\r\nP = 9000;\r\nn = 2;\r\nr = 0.054;\r\nassert(abs(compoundRate(F,P,n)-r )\u003c= 1e-2)\r\n\r\n\r\n%%\r\nF = 320;\r\nP = 40;\r\nn = 75;\r\nr = 0.0281;\r\nassert(abs(compoundRate(F,P,n)-r )\u003c= 1e-2)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":8703,"edited_by":8703,"edited_at":"2022-10-01T16:26:10.000Z","deleted_by":null,"deleted_at":null,"solvers_count":60,"test_suite_updated_at":"2022-10-01T16:26:10.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-30T05:20:21.000Z","updated_at":"2026-02-16T16:39:39.000Z","published_at":"2022-09-30T16:56:03.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTheorem : Compound Interest\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF = P(1+r)^n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere,\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eF : Future value at the end of n periods\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eP : Present value\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003er : Annual nominal rate\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003en : Total number of compounding periods\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCalculate r, given F, P and n. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"}],"term":"tag:\"compound 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