Lindsay is 25 years old and has a new job in web development. Lindsay wants to m

Question

Lindsay is 25 years old and has a new job in web development. Lindsay wants to make sure she is financially sound in 30 years, so she plans to invest the same amount into a retirement account at the end of every year for the next 30 years.

(a) Construct a data table in Excel that will show Lindsay the balance of her retirement account for various levels of annual investment and return. If Lindsay invests $10,000 at return of 6%, what would be the balance at the end of 20th year in the account? If required, round your answers to two decimal places. $ (b) Develop the two-way table in Excel for annual investment amounts of $5000 to $20,000 in increments of $1000 and for returns of 0% to 12% in increments of 1%. Note that because Lindsay invests at the end of the year, there is no interest earned on that year's contribution for the year in which she contributes. Complete the below table. If required, round your answers to two decimal places. 1% 2% $5,000 $ $ $6,000 $ $ $7,000 $ $ $8,000 $ $ $9,000 $ $ $10,000 $ $ $11,000 $ $ $12,000 $ $ $13,000 $ $ $14,000 $ $ $15,000 $ $ $16,000 $ $ $17,000 $ $ $18,000 $ $ $19,000 $ $ $20,000 $ $

Explanation / Answer

Future value of annuity immediate = A [ ( 1+r)n -1] / r

where A = annuity / annual deposit /payment

r = rate of interest

                                                                                                                                                 Interest rate Amount Invested 1 2 3 4 5 6 7 8 9 10 11 12 $5,000 $173,924.46 $202,840.40 $237,877.08 $280,424.69 $332,194.24 $395,290.93 $472,303.93 $566,416.06 $681,537.69 $822,470.11 $995,104.39 $1,206,663.42 $6,000 $208,709.35 $243,408.48 $285,452.49 $336,509.63 $398,633.09 $474,349.12 $566,764.72 $679,699.27 $817,845.23 $986,964.14 $1,194,125.27 $1,447,996.11 $7,000 $243,494.24 $283,976.55 $333,027.91 $392,594.56 $465,071.93 $553,407.30 $661,225.50 $792,982.48 $954,152.77 $1,151,458.16 $1,393,146.15 $1,689,328.79 $8,000 $278,279.13 $324,544.63 $380,603.33 $448,679.50 $531,510.78 $632,465.49 $755,686.29 $906,265.69 $1,090,460.31 $1,315,952.18 $1,592,167.02 $1,930,661.47 $9,000 $313,064.02 $365,112.71 $428,178.74 $504,764.44 $597,949.63 $711,523.68 $850,147.08 $1,019,548.90 $1,226,767.85 $1,480,446.20 $1,791,187.90 $2,171,994.16 $10,000 $347,848.92 $405,680.79 $475,754.16 $560,849.38 $664,388.48 $790,581.86 $944,607.86 $1,132,832.11 $1,363,075.39 $1,644,940.23 $1,990,208.78 $2,413,326.84 $11,000 $382,633.81 $446,248.87 $523,329.57 $616,934.32 $730,827.32 $869,640.05 $1,039,068.65 $1,246,115.32 $1,499,382.92 $1,809,434.25 $2,189,229.66 $2,654,659.53 $12,000 $417,418.70 $486,816.95 $570,904.99 $673,019.25 $797,266.17 $948,698.23 $1,133,529.44 $1,359,398.53 $1,635,690.46 $1,973,928.27 $2,388,250.54 $2,895,992.21 $13,000 $452,203.59 $527,385.03 $618,480.40 $729,104.19 $863,705.02 $1,027,756.42 $1,227,990.22 $1,472,681.74 $1,771,998.00 $2,138,422.29 $2,587,271.41 $3,137,324.90 $14,000 $486,988.48 $567,953.11 $666,055.82 $785,189.13 $930,143.87 $1,106,814.61 $1,322,451.01 $1,585,964.96 $1,908,305.54 $2,302,916.32 $2,786,292.29 $3,378,657.58 $15,000 $521,773.37 $608,521.19 $713,631.24 $841,274.07 $996,582.71 $1,185,872.79 $1,416,911.79 $1,699,248.17 $2,044,613.08 $2,467,410.34 $2,985,313.17 $3,619,990.27 $16,000 $556,558.26 $649,089.27 $761,206.65 $897,359.00 $1,063,021.56 $1,264,930.98 $1,511,372.58 $1,812,531.38 $2,180,920.62 $2,631,904.36 $3,184,334.05 $3,861,322.95 $17,000 $591,343.16 $689,657.35 $808,782.07 $953,443.94 $1,129,460.41 $1,343,989.17 $1,605,833.37 $1,925,814.59 $2,317,228.16 $2,796,398.39 $3,383,354.92 $4,102,655.63 $18,000 $626,128.05 $730,225.43 $856,357.48 $1,009,528.88 $1,195,899.26 $1,423,047.35 $1,700,294.15 $2,039,097.80 $2,453,535.69 $2,960,892.41 $3,582,375.80 $4,343,988.32 $19,000 $660,912.94 $770,793.50 $903,932.90 $1,065,613.82 $1,262,338.10 $1,502,105.54 $1,794,754.94 $2,152,381.01 $2,589,843.23 $3,125,386.43 $3,781,396.68 $4,585,321.00 $20,000 $695,697.83 $811,361.58 $951,508.31 $1,121,698.76 $1,328,776.95 $1,581,163.72 $1,889,215.73 $2,265,664.22 $2,726,150.77 $3,289,880.45 $3,980,417.56 $4,826,653.69

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