{"id":567,"date":"2020-04-30T20:13:13","date_gmt":"2020-05-01T00:13:13","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/?post_type=chapter&p=567"},"modified":"2021-06-29T17:00:29","modified_gmt":"2021-06-29T21:00:29","slug":"chap-4-learning-activities-answer-key","status":"publish","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/chapter\/chap-4-learning-activities-answer-key\/","title":{"raw":"Chap 4 Knowledge Check Answer Key","rendered":"Chap 4 Knowledge Check Answer Key"},"content":{"raw":"

Knowledge Check 4.1<\/h2>\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
Time<\/strong><\/td>\r\nInterest<\/strong><\/td>\r\nBalance<\/strong><\/td>\r\n<\/tr>\r\n
0<\/td>\r\n<\/td>\r\n$8,000.00<\/td>\r\n<\/tr>\r\n
3 months<\/td>\r\n$320.00<\/td>\r\n$8,320.00<\/td>\r\n<\/tr>\r\n
6 months<\/td>\r\n$332.80<\/td>\r\n$8,652.80<\/td>\r\n<\/tr>\r\n
9 months<\/td>\r\n\u00a0$346.11<\/td>\r\n$8,998.91<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n \r\n

Knowledge Check 4.2<\/h2>\r\n
    \r\n \t
  1. $8,000(1.04)3<\/sup> = $8,998.91<\/li>\r\n \t
  2. $1,000(1.10)2<\/sup> = $1,1210<\/li>\r\n \t
  3. $2,500(1.0066666667)48<\/sup> = $3,439.17<\/li>\r\n<\/ol>\r\n \r\n

    Knowledge Check 4.3<\/h2>\r\n1. [latex]\\frac{$ 5,849.29 }{1.04^4} =$ 5,000[\/latex]\r\n\r\n2. [latex]\\frac{$ 8,998.91 }{1.04^3} =$ 8,000[\/latex]\r\n\r\n3. [latex]\\frac{$ 50,000 }{1.085^6} =$$30,647.25[\/latex]\r\n\r\n \r\n

    Knowledge Check 4.4<\/h2>\r\na. With i<\/em> = 0.07, n<\/em> = 3 \u00d7 2, FV = $9,209.76\r\n\r\nb. n<\/em>=(l0+12)\u00d7 2, FV=$10,309.11,\r\nwhen PV = $6,000, n<\/em> = 4 \u00d7 2, FV = $10,309.12\r\n\r\nThe difference is due to rounding off the FV in (a).\r\n\r\n \r\n

    Knowledge Check 4.5<\/h2>\r\n1. $14,638.67\r\n\r\n\r\n\r\n\r\n\r\n
    B\/E<\/th>\r\nP\/Y<\/th>\r\nC\/Y<\/th>\r\nN<\/th>\r\nI\/Y<\/th>\r\nPV<\/th>\r\nPMT<\/th>\r\nFV<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
    END<\/td>\r\n12<\/td>\r\n<\/td>\r\n16<\/td>\r\n15<\/td>\r\n12,000<\/td>\r\n0<\/td>\r\nCPT<\/strong><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n \r\n\r\n2. $7,646,61\r\n\r\n\r\n\r\n\r\n\r\n
    B\/E<\/th>\r\nP\/Y<\/th>\r\nC\/Y<\/th>\r\nN<\/th>\r\nI\/Y<\/th>\r\nPV<\/th>\r\nPMT<\/th>\r\nFV<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
    END<\/td>\r\n4<\/td>\r\n<\/td>\r\n16<\/td>\r\n15<\/td>\r\nCPT<\/td>\r\n0<\/td>\r\n-9,500<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n \r\n\r\n3. 6% nominal\r\n\r\n\r\n\r\n\r\n\r\n
    B\/E<\/th>\r\nP\/Y<\/th>\r\nC\/Y<\/th>\r\nN<\/th>\r\nI\/Y<\/th>\r\nPV<\/th>\r\nPMT<\/th>\r\nFV<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
    END<\/td>\r\n12<\/td>\r\n<\/td>\r\n12<\/td>\r\nCPT<\/strong><\/td>\r\n80,000<\/td>\r\n0<\/td>\r\n-84,934.22<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n ","rendered":"

    Knowledge Check 4.1<\/h2>\n\n\n\n\n\n\n\n
    Time<\/strong><\/td>\nInterest<\/strong><\/td>\nBalance<\/strong><\/td>\n<\/tr>\n
    0<\/td>\n<\/td>\n$8,000.00<\/td>\n<\/tr>\n
    3 months<\/td>\n$320.00<\/td>\n$8,320.00<\/td>\n<\/tr>\n
    6 months<\/td>\n$332.80<\/td>\n$8,652.80<\/td>\n<\/tr>\n
    9 months<\/td>\n\u00a0$346.11<\/td>\n$8,998.91<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

     <\/p>\n

    Knowledge Check 4.2<\/h2>\n
      \n
    1. $8,000(1.04)3<\/sup> = $8,998.91<\/li>\n
    2. $1,000(1.10)2<\/sup> = $1,1210<\/li>\n
    3. $2,500(1.0066666667)48<\/sup> = $3,439.17<\/li>\n<\/ol>\n

       <\/p>\n

      Knowledge Check 4.3<\/h2>\n

      1. [latex]\\frac{$ 5,849.29 }{1.04^4} =$ 5,000[\/latex]<\/p>\n

      2. [latex]\\frac{$ 8,998.91 }{1.04^3} =$ 8,000[\/latex]<\/p>\n

      3. [latex]\\frac{$ 50,000 }{1.085^6} =$$30,647.25[\/latex]<\/p>\n

       <\/p>\n

      Knowledge Check 4.4<\/h2>\n

      a. With i<\/em> = 0.07, n<\/em> = 3 \u00d7 2, FV = $9,209.76<\/p>\n

      b. n<\/em>=(l0+12)\u00d7 2, FV=$10,309.11,
      \nwhen PV = $6,000, n<\/em> = 4 \u00d7 2, FV = $10,309.12<\/p>\n

      The difference is due to rounding off the FV in (a).<\/p>\n

       <\/p>\n

      Knowledge Check 4.5<\/h2>\n

      1. $14,638.67<\/p>\n\n\n\n\n\n
      B\/E<\/th>\nP\/Y<\/th>\nC\/Y<\/th>\nN<\/th>\nI\/Y<\/th>\nPV<\/th>\nPMT<\/th>\nFV<\/th>\n<\/tr>\n<\/thead>\n
      END<\/td>\n12<\/td>\n<\/td>\n16<\/td>\n15<\/td>\n12,000<\/td>\n0<\/td>\nCPT<\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

       <\/p>\n

      2. $7,646,61<\/p>\n\n\n\n\n\n
      B\/E<\/th>\nP\/Y<\/th>\nC\/Y<\/th>\nN<\/th>\nI\/Y<\/th>\nPV<\/th>\nPMT<\/th>\nFV<\/th>\n<\/tr>\n<\/thead>\n
      END<\/td>\n4<\/td>\n<\/td>\n16<\/td>\n15<\/td>\nCPT<\/td>\n0<\/td>\n-9,500<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

       <\/p>\n

      3. 6% nominal<\/p>\n\n\n\n\n\n
      B\/E<\/th>\nP\/Y<\/th>\nC\/Y<\/th>\nN<\/th>\nI\/Y<\/th>\nPV<\/th>\nPMT<\/th>\nFV<\/th>\n<\/tr>\n<\/thead>\n
      END<\/td>\n12<\/td>\n<\/td>\n12<\/td>\nCPT<\/strong><\/td>\n80,000<\/td>\n0<\/td>\n-84,934.22<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

       <\/p>\n","protected":false},"author":883,"menu_order":15,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-567","chapter","type-chapter","status-publish","hentry"],"part":44,"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/pressbooks\/v2\/chapters\/567","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/wp\/v2\/users\/883"}],"version-history":[{"count":15,"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/pressbooks\/v2\/chapters\/567\/revisions"}],"predecessor-version":[{"id":3451,"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/pressbooks\/v2\/chapters\/567\/revisions\/3451"}],"part":[{"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/pressbooks\/v2\/parts\/44"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/pressbooks\/v2\/chapters\/567\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/wp\/v2\/media?parent=567"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/pressbooks\/v2\/chapter-type?post=567"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/wp\/v2\/contributor?post=567"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/wp\/v2\/license?post=567"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}