Use the given interest rate i per compounding period to find
Use the given interest rate i per compounding period to find r the annual rate
1. 0.395% per month
2. 0.012% per day
3. 0.9% per quarter
4. 0.175% per month
5. 2.1 % per half year
6. 1.4% per quarter
Solution
We use the formula,
Annual Rate = Interest rate for one period x no of period in a year(compounding period)
1. Given, Interest Rate i = 0.395% per month
So Annual Rate r = Interest rate i x 12 = 0.395 x 12 = 4.74% annually
r = 4.74%
2. Interest Rate i = 0.012% per day
So Annual Rate r = Interest Rate i x 365 = 0.012 x 365 = 4.38% annually
r = 4.38%
3. Interest Rate i = 0.9 per quarter
So Annual Rate r = Interest Rate i x 4 = 0.9 x 4 = 3.6% annually
r = 3.6%
4. Interest Rate i = 0.175% per month
So Annual Rate r = Interest Rate i x 12 = 0.175 x 12 = 2.1% annually
r = 2.1%
5. Interest Rate i = 2.1% per half year
So Annual Rate r = Interest Rate i x 2 = 2.1 x 2 = 4.2% annually
r = 4.2%
6. Interest Rate i = 1.4% per quarter
So Annual Rate r = Interest Rate i x 4 = 1.4 x 4 = 5.6% annually
r = 5.6%
