Compounding question

  1. If an investment of $4000 will grow to $6520 in 4 years with monthly compunding, the effective annual interest rate will be closest to: 1. 11.21% 2. 12.28% 3. 12.99% 4. 15.75%

12.99%

12.28 use months as your N input, find I/Y and multiply by 12.

Dread I get 12.28%

strangedays Wrote: ------------------------------------------------------- > Dread I get 12.28% same here strange

Don’t multiply the monthly by 12:) Either: N=4, PV=-4000, FV=6520, PMT=0 for I/Y=12.99 or N=48, PV=-4000, FV=6520, PMT=0, I/Y=1.0231% monthly, for an annual of (1+1.0231%)^12 -1=12.99%

…because we need the effective annual?

pretty sure that when you get the monthly rate of 1.01023%, you take compound it montly over a year instead of multiplying it by 12 1.01023^12 - 1 = 12.99% instead of 1.023* 12 = 12.28%

Multiplying by 12 gives the annual percentage rate, APR, not the effective annual rate.

This was discussed before, just use the geometric formula.

Map is right :slight_smile:

Thanks all for your inputs. 12.99%.