Say you go and withdraw your 3.95% Fd and put new FD at 4.15% tomorrow, you forego 12days of interest on your original FD to get the new rate 4.15%. Your new Fd starts from 29.10.14.

if your amount deposited is big, the extra 0.2% over 24 months can be significant.
if your amount is small eg. RM10,000.00,  the extra you get switching from 3.95% to 4.15% is only an additional RM27.00 over the whole 24 months period. Worth the trouble to go withdraw and redeposit?

If deposit RM100k, you get extra RM270, if 1 Million you get extra RM2,700.

So yes, the amount deposited does matter.
The bigger the amount deposited, the more you must go get the higher FD rate.

I would also add the tenure of FD also matters.
The longer the tenure, the more you must go for higher rate.

In the above example if both the 2 Fds are only for 6 months duration, forget about it! The the extra 0.2% cannot even cover your 12 days interest that you sacrificed.

So i wont get excited with any promo offering slightly higher rate but only for short tenure 3 - 6 months.