Question

In: Finance

Person: ABC Age:25 Retirement age: 60 Amount saved: Rs. 48,000 every year Use MS Excel/Google Sheets...

Person: ABC
Age:25
Retirement age: 60
Amount saved: Rs. 48,000 every year
Use MS Excel/Google Sheets formulas to calculate the total amount accumulated (from age 25 to
age 60, ie 35 years) in the following cases:
1. Not invested
2. Invested in Fixed Deposits, at 5% annual returns
3. Invested in Equity Mutual Funds, at 12% annual returns
Plot all 3 on a graph (preferably a single line graph with each line representing a different scenario)
Note: Adjusting values for inflation is not required, but can be done separately for extra credit
Hint: For scenario 3,
Start of year 1: Amount=48,000
Start of year 2: (48,000+12% of 48,000)+48,000

Solutions

Expert Solution

NAswer:

Number of Years N=35

Annual deposit A=48000

A)

When there is no investment than total amount after 35 years P=N*A=35*48000=1680000

B)

When there is investment in fixed deposit at rate of 5% so

r=5%

Total amount after 35 years P=A*((1+r)^N-1)/r =48000*((1+5%)^35-1)/5%=$4335374.75

C)

When there is investment in equity mutual fund at rate of 12% so

r=12%

Total amount after 35 years P=A*((1+r)^N-1)/r =48000*((1+12%)^35-1)/12%=$20719847.83

year No Investment Fixed Deposit Equity mutual Fund
1 48000 48000.00 48000
2 96000 98400.00 101760
3 144000 151320.00 161971.2
4 192000 206886.00 229407.744
5 240000 265230.30 304936.6733
6 288000 326491.82 389529.0741
7 336000 390816.41 484272.563
8 384000 458357.23 590385.2705
9 432000 529275.09 709231.503
10 480000 603738.84 842339.2833
11 528000 681925.78 991419.9973
12 576000 764022.07 1158390.397
13 624000 850223.18 1345397.245
14 672000 940734.34 1554844.914
15 720000 1035771.05 1789426.304
16 768000 1135559.60 2052157.46
17 816000 1240337.59 2346416.355
18 864000 1350354.46 2675986.318
19 912000 1465872.19 3045104.676
20 960000 1587165.80 3458517.237
21 1008000 1714524.09 3921539.306
22 1056000 1848250.29 4440124.022
23 1104000 1988662.81 5020938.905
24 1152000 2136095.95 5671451.574
25 1200000 2290900.74 6400025.763
26 1248000 2453445.78 7216028.854
27 1296000 2624118.07 8129952.317
28 1344000 2803323.97 9153546.595
29 1392000 2991490.17 10299972.19
30 1440000 3189064.68 11583968.85
31 1488000 3396517.91 13022045.11
32 1536000 3614343.81 14632690.52
33 1584000 3843061.00 16436613.39
34 1632000 4083214.05 18457006.99
35 1680000 4335374.75 20719847.83

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