Question

In: Finance

For retirement, you decide to deposit $2438 at the end of each year and you will...

For retirement, you decide to deposit $2438 at the end of each year and you will increase your deposit by $135 per year. How much will you have at the end of 30 years if the bank pays 2% compounded annually?

Solutions

Expert Solution

Deposit = Previous year deposit + $135

Balance = Total amount of privous year + deposit

Interest = Balance * 2%

Total amount = Balance + Interest

year deposit Balance Interest earned total amount
1 2438 2438.00 48.76 2486.76
2 2573 5059.76 101.20 5160.96
3 2708 7868.96 157.38 8026.33
4 2843 10869.33 217.39 11086.72
5 2978 14064.72 281.29 14346.02
6 3113 17459.02 349.18 17808.20
7 3248 21056.20 421.12 21477.32
8 3383 24860.32 497.21 25357.53
9 3518 28875.53 577.51 29453.04
10 3653 33106.04 662.12 33768.16
11 3788 37556.16 751.12 38307.28
12 3923 42230.28 844.61 43074.89
13 4058 47132.89 942.66 48075.54
14 4193 52268.54 1045.37 53313.91
15 4328 57641.91 1152.84 58794.75
16 4463 63257.75 1265.16 64522.91
17 4598 69120.91 1382.42 70503.33
18 4733 75236.33 1504.73 76741.05
19 4868 81609.05 1632.18 83241.23
20 5003 88244.23 1764.88 90009.12
21 5138 95147.12 1902.94 97050.06
22 5273 102323.06 2046.46 104369.52
23 5408 109777.52 2195.55 111973.07
24 5543 117516.07 2350.32 119866.39
25 5678 125544.39 2510.89 128055.28
26 5813 133868.28 2677.37 136545.65
27 5948 142493.65 2849.87 145343.52
28 6083 151426.52 3028.53 154455.05
29 6218 160673.05 3213.46 163886.51
30 6353 170239.51 3404.79 173644.30

At the end of 30 years value will be $173,644.30


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