If an amount is invested at 6.5% per year, compounded semi-annually for 3 years, determine the number of compounding periods and the interest rate per compounding period.

Respuesta :

Annual interest rate: 6.5%

Compounding frequency: Semi-annually (twice a year)

Investment duration: 3 years

1. Number of compounding periods:

Since compounding happens twice a year for 3 years, the total number of compounding periods is:

Number of periods = Frequency * Duration = 2 times/year * 3 years = 6 periods

2. Interest rate per compounding period:

The annual interest rate needs to be divided by the compounding frequency to get the interest rate per period:

Interest rate per period = Annual rate / Frequency = 6.5% / 2 = 3.25%

Therefore, for an investment at 6.5% per year compounded semi-annually for 3 years:

The number of compounding periods is 6.

The interest rate per compounding period is 3.25%.