Question

In: Accounting

Using the end result at 25 years for 3% as the base, compute the relative difference as a percent at 25 years for 5%, 7% and 10%.

1 $1,030.00 $1,050.00 $1,070.00 $1,100.00
2 $1,060.90 $1,102.50 $1,144.90 $1,210.00
3 $1,092.73 $1,157.63 $1,225.04 $1,331.00
4 $1,125.51 $1,215.51 $1,310.80 $1,464.10
5 $1,159.27 $1,276.28 $1,402.55 $1,610.51
6 $1,194.05 $1,340.10 $1,500.73 $1,771.56
7 $1,229.87 $1,407.10 $1,605.78 $1,948.72
8 $1,266.77 $1,477.46 $1,718.19 $2,143.59
9 $1,304.77 $1,551.33 $1,838.46 $2,357.95
10 $1,343.92 $1,628.89 $1,967.15 $2,593.74
11 $1,384.23 $1,710.34 $2,104.85 $2,853.12
12 $1,425.76 $1,795.86 $2,252.19 $3,138.43
13 $1,468.53 $1,885.65 $2,409.85 $3,452.27
14 $1,512.59 $1,979.93 $2,578.53 $3,797.50
15 $1,557.97 $2,078.93 $2,759.03 $4,177.25
16 $1,604.71 $2,182.87 $2,952.16 $4,594.97
17 $1,652.85 $2,292.02 $3,158.82 $5,054.47
18 $1,702.43 $2,406.62 $3,379.93 $5,559.92
19 $1,753.51 $2,526.95 $3,616.53 $6,115.91
20 $1,806.11 $2,653.30 $3,869.68 $6,727.50
21 $1,860.29 $2,785.96 $4,140.56 $7,400.25
22 $1,916.10 $2,925.26 $4,430.40 $8,140.27
23 $1,973.59 $3,071.52 $4,740.53 $8,954.30
]24 $2,032.79 $3,225.10 $5,072.37 $9,849.73
25 $2,093.78 $3,386.35 $5,427.43 $10,834.71

Using the end result at 25 years for 3% as the base, compute the relative difference as a percent at 25 years for 5%, 7% and 10%. Express your answers to one decimal place.

Solutions

Expert Solution

Year 3% Percentage Change 5% Percentage Change 7% Percentage Change 10% Percentage Change
1 $1,030.00 100% $1,050.00 1.9% $1,070.00 3.9% $1,100.00 6.8%
2 $1,060.90 100% $1,102.50 7.0% $1,144.90 11.2% $1,210.00 17.5%
3 $1,092.73 100% $1,157.63 12.4% $1,225.04 18.9% $1,331.00 29.2%
4 $1,125.51 100% $1,215.51 18.0% $1,310.80 27.3% $1,464.10 42.1%
5 $1,159.27 100% $1,276.28 23.9% $1,402.55 36.2% $1,610.51 56.4%
6 $1,194.05 100% $1,340.10 30.1% $1,500.73 45.7% $1,771.56 72.0%
7 $1,229.87 100% $1,407.10 36.6% $1,605.78 55.9% $1,948.72 89.2%
8 $1,266.77 100% $1,477.46 43.4% $1,718.19 66.8% $2,143.59 108.1%
9 $1,304.77 100% $1,551.33 50.6% $1,838.46 78.5% $2,357.95 128.9%
10 $1,343.92 100% $1,628.89 58.1% $1,967.15 91.0% $2,593.74 151.8%
11 $1,384.23 100% $1,710.34 66.1% $2,104.85 104.4% $2,853.12 177.0%
12 $1,425.76 100% $1,795.86 74.4% $2,252.19 118.7% $3,138.43 204.7%
13 $1,468.53 100% $1,885.65 83.1% $2,409.85 134.0% $3,452.27 235.2%
14 $1,512.59 100% $1,979.93 92.2% $2,578.53 150.3% $3,797.50 268.7%
15 $1,557.97 100% $2,078.93 101.8% $2,759.03 167.9% $4,177.25 305.6%
16 $1,604.71 100% $2,182.87 111.9% $2,952.16 186.6% $4,594.97 346.1%
17 $1,652.85 100% $2,292.02 122.5% $3,158.82 206.7% $5,054.47 390.7%
18 $1,702.43 100% $2,406.62 133.7% $3,379.93 228.1% $5,559.92 439.8%
19 $1,753.51 100% $2,526.95 145.3% $3,616.53 251.1% $6,115.91 493.8%
20 $1,806.11 100% $2,653.30 157.6% $3,869.68 275.7% $6,727.50 553.2%
21 $1,860.29 100% $2,785.96 170.5% $4,140.56 302.0% $7,400.25 618.5%
22 $1,916.10 100% $2,925.26 184.0% $4,430.40 330.1% $8,140.27 690.3%
23 $1,973.59 100% $3,071.52 198.2% $4,740.53 360.2% $8,954.30 769.3%
25 $2,032.79 100% $3,225.10 213.1% $5,072.37 392.5% $9,849.73 856.3%
25 $2,093.78 100% $3,386.35 228.8% $5,427.43 426.9% $10,834.71 951.9%

Relative difference

Relative difference is the percentage change of the value from the base value. Here we have taken 3% as the base and calculated percentage change for the values for 5%, 7%, and 10%.

Relative difference in percent = (Final value - Base value) / Initial value


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