QUOTE(dreamer101 @ Aug 12 2006, 10:30 AM)
Hi Folks,
Let's make something very clear here. I am assuming you are putting money into FD for 6 months.
Case (A) -> you are putting money into 6 months FD
Case (B) -> You are putting money into 1 month FD and you are doing auto-renewal. Your 1 month FD roll into a new 1 month FD every month automatically with the interest. You are taking the money out after 6 months to make a fair comparison. I am ignoring the number of days in a month to make a simpler comparison.
Now, I will calculate very slowly.
At time 0, you have $10,000.
Atfer month 1, you have interest of 0.031/12 = 0.0258
With 10,000, you earn 10,000 * 0.0258 = $25.80
After month 1, you have $10,025.80. Now, you auto-renew into a new 1 month FD at 3.1% again. Your principal is at $10,025.80 now
After month 2, you earn interest of
$10,025.80 * 0.0258 = $25.87
After month 2, you have $10,025.80 + $25.87 = $10,051.67
And so on...
Let's call the principal as P
Annual interest rate as I
Number of months as N
The formula for amount after N months with one month FD is
P * ( 1 + I / N ) ^ N
Dreamer
Ah.. I was replying the same thingy and about to hit the post button before I saw your reply. Thanks for clarifying. Let's make something very clear here. I am assuming you are putting money into FD for 6 months.
Case (A) -> you are putting money into 6 months FD
Case (B) -> You are putting money into 1 month FD and you are doing auto-renewal. Your 1 month FD roll into a new 1 month FD every month automatically with the interest. You are taking the money out after 6 months to make a fair comparison. I am ignoring the number of days in a month to make a simpler comparison.
Now, I will calculate very slowly.
At time 0, you have $10,000.
Atfer month 1, you have interest of 0.031/12 = 0.0258
With 10,000, you earn 10,000 * 0.0258 = $25.80
After month 1, you have $10,025.80. Now, you auto-renew into a new 1 month FD at 3.1% again. Your principal is at $10,025.80 now
After month 2, you earn interest of
$10,025.80 * 0.0258 = $25.87
After month 2, you have $10,025.80 + $25.87 = $10,051.67
And so on...
Let's call the principal as P
Annual interest rate as I
Number of months as N
The formula for amount after N months with one month FD is
P * ( 1 + I / N ) ^ N
Dreamer
Hope this helps.
Aug 12 2006, 10:35 AM

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