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Your job pays you only once a year for all the work you did over the previous 12

ID: 2730017 • Letter: Y

Question

Your job pays you only once a year for all the work you did over the previous 12 months. Today, December 31, you just received your salary of $70,000 and you plan to spend all of it. However, you want to start saving for retirement beginning next year. You have decided that one year from today you will begin depositing 8 percent of your annual salary in an account that will earn 11.0 percent per year. Your salary will increase at 4 percent per year throughout your career. How much money will you have on the date of your retirement 45 years from today?

Explanation / Answer

Solution.

Calculation of amount.

2.

Year Salary Increasement Total salary 1         70,000                  2,800           72,800 2         72,800                  2,912           75,712 3         75,712                  3,028           78,740 4         78,740                  3,150           81,890 5         81,890                  3,276           85,166 6         85,166                  3,407           88,572 7         88,572                  3,543           92,115 8         92,115                  3,685           95,800 9         95,800                  3,832           99,632 10         99,632                  3,985        103,617 11       103,617                  4,145        107,762 12       107,762                  4,310        112,072 13       112,072                  4,483        116,555 14       116,555                  4,662        121,217 15       121,217                  4,849        126,066 16       126,066                  5,043        131,109 17       131,109                  5,244        136,353 18       136,353                  5,454        141,807 19       141,807                  5,672        147,479 20       147,479                  5,899        153,379 21       153,379                  6,135        159,514 22       159,514                  6,381        165,894 23       165,894                  6,636        172,530 24       172,530                  6,901        179,431 25       179,431                  7,177        186,609 26       186,609                  7,464        194,073 27       194,073                  7,763        201,836 28       201,836                  8,073        209,909 29       209,909                  8,396        218,306 30       218,306                  8,732        227,038 31       227,038                  9,082        236,119 32       236,119                  9,445        245,564 33       245,564                  9,823        255,387 34       255,387                10,215        265,602 35       265,602                10,624        276,226 36       276,226                11,049        287,275 37       287,275                11,491        298,766 38       298,766                11,951        310,717 39       310,717                12,429        323,146 40       323,146                12,926        336,071 41       336,071                13,443        349,514 42       349,514                13,981        363,495 43       363,495                14,540        378,035 44       378,035                15,121        393,156 45       393,156                15,726        408,882