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1. Christian and Sarah both graduate from OSU and begin working as financial ana

ID: 2619127 • Letter: 1

Question

1. Christian and Sarah both graduate from OSU and begin working as financial analysts. They will both work for exactly 40 years and then retire. Both plan to save for retirement, however each goes about it differently. Sarah begins saving $500 per month for eight years, beginning at the end of her first year on the job. Christian wants to travel and buy nice furniture for his house and allows those eight years to pass before he begins saving for retirement (note: he begins saving at the end of the 9th year). He saves $500 per month (for 32 years) until he retires. How much will each have upon retirement, 40 years from now, if they invest their savings in a mutual fund that pays 10% annual interest? 2. Suppose you take out a 30 -year mortgage for $250,000 at an interest rate of 6.8 percent. What is your monthly payment? How much is the total interest you pay over the life of the loan ? Construct an amortization table for the loans using Excel or Calculator. You can use the website www.bankrate.com to verify your answer.

Explanation / Answer

Q1

Sarah's Future Value=FV(10%,32,0,FV(10%/12,12*8,500))=$1,543,217.30

Christian's Future Value=FV(10%/12,12*32,500)=$1,392,562.97

Q2

Loan 250000 Rate 6.80% Years 30 Monthly payment $1,629.81 Month Total Payment Interest Payment Principal Payment Remaining Balance 1 $1,629.81 1416.666667 $213.15 $249,786.85 2 $1,629.81 $1,415.46 $214.35 $249,572.50 3 $1,629.81 $1,414.24 $215.57 $249,356.93 4 $1,629.81 $1,413.02 $216.79 $249,140.14 5 $1,629.81 $1,411.79 $218.02 $248,922.12 6 $1,629.81 $1,410.56 $219.25 $248,702.87 7 $1,629.81 $1,409.32 $220.50 $248,482.37 8 $1,629.81 $1,408.07 $221.75 $248,260.62 9 $1,629.81 $1,406.81 $223.00 $248,037.62 10 $1,629.81 $1,405.55 $224.27 $247,813.36 11 $1,629.81 $1,404.28 $225.54 $247,587.82 12 $1,629.81 $1,403.00 $226.82 $247,361.00 13 $1,629.81 $1,401.71 $228.10 $247,132.90 14 $1,629.81 $1,400.42 $229.39 $246,903.51 15 $1,629.81 $1,399.12 $230.69 $246,672.82 16 $1,629.81 $1,397.81 $232.00 $246,440.82 17 $1,629.81 $1,396.50 $233.32 $246,207.50 18 $1,629.81 $1,395.18 $234.64 $245,972.86 19 $1,629.81 $1,393.85 $235.97 $245,736.90 20 $1,629.81 $1,392.51 $237.30 $245,499.59 21 $1,629.81 $1,391.16 $238.65 $245,260.94 22 $1,629.81 $1,389.81 $240.00 $245,020.94 23 $1,629.81 $1,388.45 $241.36 $244,779.58 24 $1,629.81 $1,387.08 $242.73 $244,536.85 25 $1,629.81 $1,385.71 $244.10 $244,292.75 26 $1,629.81 $1,384.33 $245.49 $244,047.26 27 $1,629.81 $1,382.93 $246.88 $243,800.38 28 $1,629.81 $1,381.54 $248.28 $243,552.11 29 $1,629.81 $1,380.13 $249.68 $243,302.42 30 $1,629.81 $1,378.71 $251.10 $243,051.32 31 $1,629.81 $1,377.29 $252.52 $242,798.80 32 $1,629.81 $1,375.86 $253.95 $242,544.85 33 $1,629.81 $1,374.42 $255.39 $242,289.45 34 $1,629.81 $1,372.97 $256.84 $242,032.62 35 $1,629.81 $1,371.52 $258.29 $241,774.32 36 $1,629.81 $1,370.05 $259.76 $241,514.56 37 $1,629.81 $1,368.58 $261.23 $241,253.33 38 $1,629.81 $1,367.10 $262.71 $240,990.62 39 $1,629.81 $1,365.61 $264.20 $240,726.42 40 $1,629.81 $1,364.12 $265.70 $240,460.72 41 $1,629.81 $1,362.61 $267.20 $240,193.52 42 $1,629.81 $1,361.10 $268.72 $239,924.81 43 $1,629.81 $1,359.57 $270.24 $239,654.57 44 $1,629.81 $1,358.04 $271.77 $239,382.80 45 $1,629.81 $1,356.50 $273.31 $239,109.49 46 $1,629.81 $1,354.95 $274.86 $238,834.63 47 $1,629.81 $1,353.40 $276.42 $238,558.21 48 $1,629.81 $1,351.83 $277.98 $238,280.23 49 $1,629.81 $1,350.25 $279.56 $238,000.67 50 $1,629.81 $1,348.67 $281.14 $237,719.53 51 $1,629.81 $1,347.08 $282.74 $237,436.79 52 $1,629.81 $1,345.48 $284.34 $237,152.45 53 $1,629.81 $1,343.86 $285.95 $236,866.50 54 $1,629.81 $1,342.24 $287.57 $236,578.93 55 $1,629.81 $1,340.61 $289.20 $236,289.74 56 $1,629.81 $1,338.98 $290.84 $235,998.90 57 $1,629.81 $1,337.33 $292.49 $235,706.41 58 $1,629.81 $1,335.67 $294.14 $235,412.27 59 $1,629.81 $1,334.00 $295.81 $235,116.46 60 $1,629.81 $1,332.33 $297.49 $234,818.97 61 $1,629.81 $1,330.64 $299.17 $234,519.80 62 $1,629.81 $1,328.95 $300.87 $234,218.93 63 $1,629.81 $1,327.24 $302.57 $233,916.36 64 $1,629.81 $1,325.53 $304.29 $233,612.07 65 $1,629.81 $1,323.80 $306.01 $233,306.06 66 $1,629.81 $1,322.07 $307.75 $232,998.32 67 $1,629.81 $1,320.32 $309.49 $232,688.83 68 $1,629.81 $1,318.57 $311.24 $232,377.58 69 $1,629.81 $1,316.81 $313.01 $232,064.58 70 $1,629.81 $1,315.03 $314.78 $231,749.80 71 $1,629.81 $1,313.25 $316.56 $231,433.23 72 $1,629.81 $1,311.45 $318.36 $231,114.88 73 $1,629.81 $1,309.65 $320.16 $230,794.71 74 $1,629.81 $1,307.84 $321.98 $230,472.74 75 $1,629.81 $1,306.01 $323.80 $230,148.94 76 $1,629.81 $1,304.18 $325.64 $229,823.30 77 $1,629.81 $1,302.33 $327.48 $229,495.82 78 $1,629.81 $1,300.48 $329.34 $229,166.48 79 $1,629.81 $1,298.61 $331.20 $228,835.28 80 $1,629.81 $1,296.73 $333.08 $228,502.20 81 $1,629.81 $1,294.85 $334.97 $228,167.23 82 $1,629.81 $1,292.95 $336.87 $227,830.37 83 $1,629.81 $1,291.04 $338.77 $227,491.59 84 $1,629.81 $1,289.12 $340.69 $227,150.90 85 $1,629.81 $1,287.19 $342.62 $226,808.28 86 $1,629.81 $1,285.25 $344.57 $226,463.71 87 $1,629.81 $1,283.29 $346.52 $226,117.19 88 $1,629.81 $1,281.33 $348.48 $225,768.71 89 $1,629.81 $1,279.36 $350.46 $225,418.25 90 $1,629.81 $1,277.37 $352.44 $225,065.81 91 $1,629.81 $1,275.37 $354.44 $224,711.37 92 $1,629.81 $1,273.36 $356.45 $224,354.92 93 $1,629.81 $1,271.34 $358.47 $223,996.45 94 $1,629.81 $1,269.31 $360.50 $223,635.95 95 $1,629.81 $1,267.27 $362.54 $223,273.41 96 $1,629.81 $1,265.22 $364.60 $222,908.81 97 $1,629.81 $1,263.15 $366.66 $222,542.15 98 $1,629.81 $1,261.07 $368.74 $222,173.41 99 $1,629.81 $1,258.98 $370.83 $221,802.58 100 $1,629.81 $1,256.88 $372.93 $221,429.65 101 $1,629.81 $1,254.77 $375.04 $221,054.60 102 $1,629.81 $1,252.64 $377.17 $220,677.43 103 $1,629.81 $1,250.51 $379.31 $220,298.12 104 $1,629.81 $1,248.36 $381.46 $219,916.67 105 $1,629.81 $1,246.19 $383.62 $219,533.05 106 $1,629.81 $1,244.02 $385.79 $219,147.26 107 $1,629.81 $1,241.83 $387.98 $218,759.28 108 $1,629.81 $1,239.64 $390.18 $218,369.10 109 $1,629.81 $1,237.42 $392.39 $217,976.71 110 $1,629.81 $1,235.20 $394.61 $217,582.10 111 $1,629.81 $1,232.97 $396.85 $217,185.25 112 $1,629.81 $1,230.72 $399.10 $216,786.16 113 $1,629.81 $1,228.45 $401.36 $216,384.80 114 $1,629.81 $1,226.18 $403.63 $215,981.17 115 $1,629.81 $1,223.89 $405.92 $215,575.25 116 $1,629.81 $1,221.59 $408.22 $215,167.03 117 $1,629.81 $1,219.28 $410.53 $214,756.49 118 $1,629.81 $1,216.95 $412.86 $214,343.63 119 $1,629.81 $1,214.61 $415.20 $213,928.43 120 $1,629.81 $1,212.26 $417.55 $213,510.88 121 $1,629.81 $1,209.90 $419.92 $213,090.96 122 $1,629.81 $1,207.52 $422.30 $212,668.67 123 $1,629.81 $1,205.12 $424.69 $212,243.98 124 $1,629.81 $1,202.72 $427.10 $211,816.88 125 $1,629.81 $1,200.30 $429.52 $211,387.36 126 $1,629.81 $1,197.86 $431.95 $210,955.41 127 $1,629.81 $1,195.41 $434.40 $210,521.01 128 $1,629.81 $1,192.95 $436.86 $210,084.15 129 $1,629.81 $1,190.48 $439.34 $209,644.82 130 $1,629.81 $1,187.99 $441.83 $209,202.99 131 $1,629.81 $1,185.48 $444.33 $208,758.66 132 $1,629.81 $1,182.97 $446.85 $208,311.81 133 $1,629.81 $1,180.43 $449.38 $207,862.43 134 $1,629.81 $1,177.89 $451.93 $207,410.51 135 $1,629.81 $1,175.33 $454.49 $206,956.02 136 $1,629.81 $1,172.75 $457.06 $206,498.96 137 $1,629.81 $1,170.16 $459.65 $206,039.31 138 $1,629.81 $1,167.56 $462.26 $205,577.05 139 $1,629.81 $1,164.94 $464.88 $205,112.17 140 $1,629.81 $1,162.30 $467.51 $204,644.66 141 $1,629.81 $1,159.65 $470.16 $204,174.50 142 $1,629.81 $1,156.99 $472.82 $203,701.68 143 $1,629.81 $1,154.31 $475.50 $203,226.18 144 $1,629.81 $1,151.61 $478.20 $202,747.98 145 $1,629.81 $1,148.91 $480.91 $202,267.07 146 $1,629.81 $1,146.18 $483.63 $201,783.44 147 $1,629.81 $1,143.44 $486.37 $201,297.06 148 $1,629.81 $1,140.68 $489.13 $200,807.93 149 $1,629.81 $1,137.91 $491.90 $200,316.03 150 $1,629.81 $1,135.12 $494.69 $199,821.34 151 $1,629.81 $1,132.32 $497.49 $199,323.85 152 $1,629.81 $1,129.50 $500.31 $198,823.54 153 $1,629.81 $1,126.67 $503.15 $198,320.39 154 $1,629.81 $1,123.82 $506.00 $197,814.40 155 $1,629.81 $1,120.95 $508.86 $197,305.53 156 $1,629.81 $1,118.06 $511.75 $196,793.78 157 $1,629.81 $1,115.16 $514.65 $196,279.14 158 $1,629.81 $1,112.25 $517.56 $195,761.57 159 $1,629.81 $1,109.32 $520.50 $195,241.07 160 $1,629.81 $1,106.37 $523.45 $194,717.63 161 $1,629.81 $1,103.40 $526.41 $194,191.21 162 $1,629.81 $1,100.42 $529.40 $193,661.82 163 $1,629.81 $1,097.42 $532.40 $193,129.42 164 $1,629.81 $1,094.40 $535.41 $192,594.01 165 $1,629.81 $1,091.37 $538.45 $192,055.56 166 $1,629.81 $1,088.31 $541.50 $191,514.06 167 $1,629.81 $1,085.25 $544.57 $190,969.50 168 $1,629.81 $1,082.16 $547.65 $190,421.84 169 $1,629.81 $1,079.06 $550.76 $189,871.09 170 $1,629.81 $1,075.94 $553.88 $189,317.21 171 $1,629.81 $1,072.80 $557.02 $188,760.20 172 $1,629.81 $1,069.64 $560.17 $188,200.02 173 $1,629.81 $1,066.47 $563.35 $187,636.68 174 $1,629.81 $1,063.27 $566.54 $187,070.14 175 $1,629.81 $1,060.06 $569.75 $186,500.39 176 $1,629.81 $1,056.84 $572.98 $185,927.41 177 $1,629.81 $1,053.59 $576.22 $185,351.19 178 $1,629.81 $1,050.32 $579.49 $184,771.70 179 $1,629.81 $1,047.04 $582.77 $184,188.93 180 $1,629.81 $1,043.74 $586.08 $183,602.85 181 $1,629.81 $1,040.42 $589.40 $183,013.45 182 $1,629.81 $1,037.08 $592.74 $182,420.72 183 $1,629.81 $1,033.72 $596.10 $181,824.62 184 $1,629.81 $1,030.34 $599.47 $181,225.15 185 $1,629.81 $1,026.94 $602.87 $180,622.28 186 $1,629.81 $1,023.53 $606.29 $180,015.99 187 $1,629.81 $1,020.09 $609.72 $179,406.27 188 $1,629.81 $1,016.64 $613.18 $178,793.09 189 $1,629.81 $1,013.16 $616.65 $178,176.44 190 $1,629.81 $1,009.67 $620.15 $177,556.29 191 $1,629.81 $1,006.15 $623.66 $176,932.63 192 $1,629.81 $1,002.62 $627.19 $176,305.44 193 $1,629.81 $999.06 $630.75 $175,674.69 194 $1,629.81 $995.49 $634.32 $175,040.36 195 $1,629.81 $991.90 $637.92 $174,402.45 196 $1,629.81 $988.28 $641.53 $173,760.91 197 $1,629.81 $984.65 $645.17 $173,115.75 198 $1,629.81 $980.99 $648.82 $172,466.92 199 $1,629.81 $977.31 $652.50 $171,814.42 200 $1,629.81 $973.62 $656.20 $171,158.22 201 $1,629.81 $969.90 $659.92 $170,498.31 202 $1,629.81 $966.16 $663.66 $169,834.65 203 $1,629.81 $962.40 $667.42 $169,167.24 204 $1,629.81 $958.61 $671.20 $168,496.04 205 $1,629.81 $954.81 $675.00 $167,821.04 206 $1,629.81 $950.99 $678.83 $167,142.21 207 $1,629.81 $947.14 $682.67 $166,459.53 208 $1,629.81 $943.27 $686.54 $165,772.99 209 $1,629.81 $939.38 $690.43 $165,082.56 210 $1,629.81 $935.47 $694.35 $164,388.21 211 $1,629.81 $931.53 $698.28 $163,689.93 212 $1,629.81 $927.58 $702.24 $162,987.70 213 $1,629.81 $923.60 $706.22 $162,281.48 214 $1,629.81 $919.60 $710.22 $161,571.26 215 $1,629.81 $915.57 $714.24 $160,857.02 216 $1,629.81 $911.52 $718.29 $160,138.73 217 $1,629.81 $907.45 $722.36 $159,416.37 218 $1,629.81 $903.36 $726.45 $158,689.92 219 $1,629.81 $899.24 $730.57 $157,959.35 220 $1,629.81 $895.10 $734.71 $157,224.64 221 $1,629.81 $890.94 $738.87 $156,485.76 222 $1,629.81 $886.75 $743.06 $155,742.70 223 $1,629.81 $882.54 $747.27 $154,995.43 224 $1,629.81 $878.31 $751.51 $154,243.93 225 $1,629.81 $874.05 $755.76 $153,488.16 226 $1,629.81 $869.77 $760.05 $152,728.12 227 $1,629.81 $865.46 $764.35 $151,963.76 228 $1,629.81 $861.13 $768.68 $151,195.08 229 $1,629.81 $856.77 $773.04 $150,422.04 230 $1,629.81 $852.39 $777.42 $149,644.62 231 $1,629.81 $847.99 $781.83 $148,862.79 232 $1,629.81 $843.56 $786.26 $148,076.53 233 $1,629.81 $839.10 $790.71 $147,285.82 234 $1,629.81 $834.62 $795.19 $146,490.63 235 $1,629.81 $830.11 $799.70 $145,690.93 236 $1,629.81 $825.58 $804.23 $144,886.70 237 $1,629.81 $821.02 $808.79 $144,077.91 238 $1,629.81 $816.44 $813.37 $143,264.54 239 $1,629.81 $811.83 $817.98 $142,446.56 240 $1,629.81 $807.20 $822.62 $141,623.94 241 $1,629.81 $802.54 $827.28 $140,796.66 242 $1,629.81 $797.85 $831.97 $139,964.70 243 $1,629.81 $793.13 $836.68 $139,128.02 244 $1,629.81 $788.39 $841.42 $138,286.60 245 $1,629.81 $783.62 $846.19 $137,440.41 246 $1,629.81 $778.83 $850.98 $136,589.42 247 $1,629.81 $774.01 $855.81 $135,733.62 248 $1,629.81 $769.16 $860.66 $134,872.96 249 $1,629.81 $764.28 $865.53 $134,007.43 250 $1,629.81 $759.38 $870.44 $133,136.99 251 $1,629.81 $754.44 $875.37 $132,261.62 252 $1,629.81 $749.48 $880.33 $131,381.29 253 $1,629.81 $744.49 $885.32 $130,495.97 254 $1,629.81 $739.48 $890.34 $129,605.64 255 $1,629.81 $734.43 $895.38 $128,710.25 256 $1,629.81 $729.36 $900.45 $127,809.80 257 $1,629.81 $724.26 $905.56 $126,904.24 258 $1,629.81 $719.12 $910.69 $125,993.55 259 $1,629.81 $713.96 $915.85 $125,077.70 260 $1,629.81 $708.77 $921.04 $124,156.66 261 $1,629.81 $703.55 $926.26 $123,230.41 262 $1,629.81 $698.31 $931.51 $122,298.90 263 $1,629.81 $693.03 $936.79 $121,362.11 264 $1,629.81 $687.72 $942.09 $120,420.02 265 $1,629.81 $682.38 $947.43 $119,472.59 266 $1,629.81 $677.01 $952.80 $118,519.78 267 $1,629.81 $671.61 $958.20 $117,561.58 268 $1,629.81 $666.18 $963.63 $116,597.95 269 $1,629.81 $660.72 $969.09 $115,628.86 270 $1,629.81 $655.23 $974.58 $114,654.28 271 $1,629.81 $649.71 $980.11 $113,674.17 272 $1,629.81 $644.15 $985.66 $112,688.51 273 $1,629.81 $638.57 $991.24 $111,697.27 274 $1,629.81 $632.95 $996.86 $110,700.41 275 $1,629.81 $627.30 $1,002.51 $109,697.90 276 $1,629.81 $621.62 $1,008.19 $108,689.70 277 $1,629.81 $615.91 $1,013.90 $107,675.80 278 $1,629.81 $610.16 $1,019.65 $106,656.15 279 $1,629.81 $604.38 $1,025.43 $105,630.72 280 $1,629.81 $598.57 $1,031.24 $104,599.48 281 $1,629.81 $592.73 $1,037.08 $103,562.40 282 $1,629.81 $586.85 $1,042.96 $102,519.44 283 $1,629.81 $580.94 $1,048.87 $101,470.57 284 $1,629.81 $575.00 $1,054.81 $100,415.76 285 $1,629.81 $569.02 $1,060.79 $99,354.97 286 $1,629.81 $563.01 $1,066.80 $98,288.17 287 $1,629.81 $556.97 $1,072.85 $97,215.32 288 $1,629.81 $550.89 $1,078.93 $96,136.39 289 $1,629.81 $544.77 $1,085.04 $95,051.35 290 $1,629.81 $538.62 $1,091.19 $93,960.17 291 $1,629.81 $532.44 $1,097.37 $92,862.79 292 $1,629.81 $526.22 $1,103.59 $91,759.20 293 $1,629.81 $519.97 $1,109.84 $90,649.36 294 $1,629.81 $513.68 $1,116.13 $89,533.23 295 $1,629.81 $507.35 $1,122.46 $88,410.77 296 $1,629.81 $500.99 $1,128.82 $87,281.95 297 $1,629.81 $494.60 $1,135.22 $86,146.73 298 $1,629.81 $488.16 $1,141.65 $85,005.09 299 $1,629.81 $481.70 $1,148.12 $83,856.97 300 $1,629.81 $475.19 $1,154.62 $82,702.34 301 $1,629.81 $468.65 $1,161.17 $81,541.18 302 $1,629.81 $462.07 $1,167.75 $80,373.43 303 $1,629.81 $455.45 $1,174.36 $79,199.07 304 $1,629.81 $448.79 $1,181.02 $78,018.05 305 $1,629.81 $442.10 $1,187.71 $76,830.34 306 $1,629.81 $435.37 $1,194.44 $75,635.90 307 $1,629.81 $428.60 $1,201.21 $74,434.69 308 $1,629.81 $421.80 $1,208.02 $73,226.67 309 $1,629.81 $414.95 $1,214.86 $72,011.81 310 $1,629.81 $408.07 $1,221.75 $70,790.06 311 $1,629.81 $401.14 $1,228.67 $69,561.40 312 $1,629.81 $394.18 $1,235.63 $68,325.76 313 $1,629.81 $387.18 $1,242.63 $67,083.13 314 $1,629.81 $380.14 $1,249.68 $65,833.45 315 $1,629.81 $373.06 $1,256.76 $64,576.70 316 $1,629.81 $365.93 $1,263.88 $63,312.82 317 $1,629.81 $358.77 $1,271.04 $62,041.78 318 $1,629.81 $351.57 $1,278.24 $60,763.54 319 $1,629.81 $344.33 $1,285.49 $59,478.05 320 $1,629.81 $337.04 $1,292.77 $58,185.28 321 $1,629.81 $329.72 $1,300.10 $56,885.18 322 $1,629.81 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