Decompounding formula in excel

Question : Decompounding formula in excel

Say the annual rate is 25%.

What is the formula to de-compound it to semi-annual, quarterly and monthly.

Also, what is the formula to compound back the 3 mentioned terms back to an annual rate.

Thanks,


Solution : Decompounding formula in excel

 =(1+X)^(1/n)-1

where X is rate
n is periods

so for 25% quarterly
=(1+25%)(1/4)
= 5.7% compounding per quarter

to re compound

=(1+5.7%)^4
Cheers