{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2026-05-26T00:16:20.000Z","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":"2026-05-26T00:00:00.000Z","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":43967,"title":"Compound interest - number e","description":"A moneylender wants to receive his annual interest of 12% more frequently.\r\n\r\nIf he receives his interest rate every six months, he will receive 6% each time (12%/2).\r\n\r\nHe wants to know how much will he win during a year if he received his interest every year (n=1), every six months (n=2), every month (n=12), every week (n=52), every day (n=365) and every second (n=31536000). These will be the test cases.","description_html":"\u003cp\u003eA moneylender wants to receive his annual interest of 12% more frequently.\u003c/p\u003e\u003cp\u003eIf he receives his interest rate every six months, he will receive 6% each time (12%/2).\u003c/p\u003e\u003cp\u003eHe wants to know how much will he win during a year if he received his interest every year (n=1), every six months (n=2), every month (n=12), every week (n=52), every day (n=365) and every second (n=31536000). These will be the test cases.\u003c/p\u003e","function_template":"function y = compound(n)\r\n  y = exp(0.12); % This would be the solution if n=inf;\r\nend","test_suite":"%%\r\nn = 1;\r\ny_ok = 1.12;\r\nassert(abs(compound(n)-y_ok)\u003c1e-9);\r\n\r\n%%\r\nn = 2;\r\ny_ok = 1.1236;\r\nassert(abs(compound(n)-y_ok)\u003c1e-9);\r\n\r\n%%\r\nn = 12;\r\ny_ok = 1.126825030132;\r\nassert(abs(compound(n)-y_ok)\u003c1e-9);\r\n\r\n%%\r\nn = 52;\r\ny_ok = 1.127340987167;\r\nassert(abs(compound(n)-y_ok)\u003c1e-9);\r\n\r\n%%\r\nn = 365;\r\ny_ok = 1.127474615638;\r\nassert(abs(compound(n)-y_ok)\u003c1e-9);\r\n\r\n%%\r\nn = 31536000;\r\ny_ok = 1.1274968514306000;\r\nassert(abs(compound(n)-y_ok)\u003c1e-9);","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":12767,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":43,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2016-12-25T20:20:55.000Z","updated_at":"2026-05-29T02:43:36.000Z","published_at":"2016-12-25T20:20:55.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"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\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA moneylender wants to receive his annual interest of 12% more frequently.\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\u003eIf he receives his interest rate every six months, he will receive 6% each time (12%/2).\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\u003eHe wants to know how much will he win during a year if he received his interest every year (n=1), every six months (n=2), every month (n=12), every week (n=52), every day (n=365) and every second (n=31536000). These will be the test cases.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"}],"problem_search":{"problems":[{"id":43967,"title":"Compound interest - number e","description":"A moneylender wants to receive his annual interest of 12% more frequently.\r\n\r\nIf he receives his interest rate every six months, he will receive 6% each time (12%/2).\r\n\r\nHe wants to know how much will he win during a year if he received his interest every year (n=1), every six months (n=2), every month (n=12), every week (n=52), every day (n=365) and every second (n=31536000). These will be the test cases.","description_html":"\u003cp\u003eA moneylender wants to receive his annual interest of 12% more frequently.\u003c/p\u003e\u003cp\u003eIf he receives his interest rate every six months, he will receive 6% each time (12%/2).\u003c/p\u003e\u003cp\u003eHe wants to know how much will he win during a year if he received his interest every year (n=1), every six months (n=2), every month (n=12), every week (n=52), every day (n=365) and every second (n=31536000). These will be the test cases.\u003c/p\u003e","function_template":"function y = compound(n)\r\n  y = exp(0.12); % This would be the solution if n=inf;\r\nend","test_suite":"%%\r\nn = 1;\r\ny_ok = 1.12;\r\nassert(abs(compound(n)-y_ok)\u003c1e-9);\r\n\r\n%%\r\nn = 2;\r\ny_ok = 1.1236;\r\nassert(abs(compound(n)-y_ok)\u003c1e-9);\r\n\r\n%%\r\nn = 12;\r\ny_ok = 1.126825030132;\r\nassert(abs(compound(n)-y_ok)\u003c1e-9);\r\n\r\n%%\r\nn = 52;\r\ny_ok = 1.127340987167;\r\nassert(abs(compound(n)-y_ok)\u003c1e-9);\r\n\r\n%%\r\nn = 365;\r\ny_ok = 1.127474615638;\r\nassert(abs(compound(n)-y_ok)\u003c1e-9);\r\n\r\n%%\r\nn = 31536000;\r\ny_ok = 1.1274968514306000;\r\nassert(abs(compound(n)-y_ok)\u003c1e-9);","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":12767,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":43,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2016-12-25T20:20:55.000Z","updated_at":"2026-05-29T02:43:36.000Z","published_at":"2016-12-25T20:20:55.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"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\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA moneylender wants to receive his annual interest of 12% more frequently.\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\u003eIf he receives his interest rate every six months, he will receive 6% each time (12%/2).\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\u003eHe wants to know how much will he win during a year if he received his interest every year (n=1), every six months (n=2), every month (n=12), every week (n=52), every day (n=365) and every second (n=31536000). These will be the test cases.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"}],"errors":[],"facets":[[],[{"value":"easy","count":1,"selected":false}]],"term":"tag:\"interest\"","page":1,"per_page":50,"sort":"map(difficulty_value,0,0,999) asc"}}