You are currently earning 12% (APR) compounded semiannually. Your investment company is switching all accounts to daily compounding. What rate will give you the same effective annual rate of return as you are receiving now

The rate that will give the same effective annual rate of return is 0.033%.

Explanation:

a) Data and Calculations:

APR = 12%

Semi-annual compound rate = 6% (12/2)

Assumed calendar days in a year = 360 days

Effective daily rate of return = 12%/360 = 0.033%

b) The conversion of semi-annual compounding to daily compounding results in reduced rate of return.  In this case, we assume that there are 360 days in a year.  Since the APR = 12%, it means that the daily rate of return will be 12%/360, which is 0.033%.

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