In: Finance
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
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 |