You may think that it is true in general sense but i can prove in mathematically.
Say for example you invested 100 rupees and you lost 25 rupees
Now you loss is 25% and the net available amount is 75 rupees
Now to grow 75 rupees to 100 rupees, you need to grow it at the rate 33.33%.
So if your Portfolio is down by 25% don’t think that you need to grow by 25% but you need to grow by 33 %
Now this is even more important if you are paying Fees for managing Funds(Mutual Funds, ULIPs, etc.). Below is a table given computing the returns taken just as fees over a period of time(assumed managing fee of 2%)
| years | % return required |
| 1 | 2.03 |
| 2 | 4.09 |
| 3 | 6.19 |
| 4 | 8.34 |
| 5 | 10.53 |
| 6 | 12.76 |
| 7 | 15.05 |
| 8 | 17.37 |
| 9 | 19.75 |
| 10 | 22.17 |
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