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

ekkarill92 answered 1 year ago

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