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christie, incorporated, has identified an investment project with the following cash flows. yearcash flow1$ 1,08021,31031,53042,270 a.if the discount rate is 9 percent, what is the future value of these cash flows in year 4? (do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)b.if the discount rate is 12 percent, what is the future value of these cash flows in year 4? (do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)c.if the discount rate is 23 percent, what is the future value of these cash flows in year 4?

Respuesta :

If the discount rate is 9 percent, the future value of these cash flows in year 4 is $5,480.30. If the discount rate is 12 percent,the future value of these cash flows in year 4 is $6,030.36. If the discount rate is 23 percent, the future value of these cash flows in year 4 is $7,275.42

a)-Future Value at 6.00%

Future Value = [$1,075 x (1 + 0.06)^3] + [$1,210 x (1 + 0.06)^2] + [$1,340 x (1 + 0.06)^1] + [$1,420 x (1 + 0.06)^0]

Future Value = [$1,075 x 1.191016] + [$1,210 x 1.1236] + [$1,340 x 1.06] + [$1,420 x 1.0000]

Future Value = $1,280.34 + $1,359.56 + $1,420.40 + $1,420

Future Value = $5,480.30

(b)-Future Value at 13.00%

Future Value = [$1,075 x (1 + 0.13)^3] + [$1,210 x (1 + 0.13)^2] + [$1,340 x (1 + 0.13)^1] + [$1,420 x (1 + 0.13)^0]

Future Value = [$1,075 x 1.442897] + [$1,210 x 1.2769] + [$1,340 x 1.13] + [$1,420 x 1.0000]

Future Value = $1,551.11 + $1,545.05 + $1,514.20 + $1,420.00

Future Value = $6,030.36

(c)-Future Value at 27.00%

Future Value = [$1,075 x (1 + 0.27)^3] + [$1,210 x (1 + 0.27)^2] + [$1,340 x (1 + 0.27)^1] + [$1,420 x (1 + 0.27)^0]

Future Value = [$1,075 x 2.048383] + [$1,210 x 1.6129] + [$1,340 x 1.27] + [$1,420 x 1.0000]

Future Value = $2,202.01 + $1,951.61 + $1,701.80 + $1,420.00

Future Value = $7,275.42

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