Answer:
The APY is 10.43%.
Explanation:
The annual percentage yield (APY) can be described as the real rate of return that is earned on investment or a saving deposit considering the impact of compounding interest. It is different from a simple interest rate that does take into account the effect of compounding interest.
APY can be calculated using the following formula:
APY = [(1 + r)^n] - 1 ............................... (1)
Where, for this question;
r = monthly interest rate = 5% / 6 = 0.83%, or 0.0083
n = Number of compounding periods per year = 2 semiannual in a year * 6 months = 12
Substituting values into equation (1), we have:
APY = [(1 + 0.0083)^12] - 1
APY = 1.1043 - 1
APY = 0.1043, or 10.43%
Therefore, the APY is 10.43%.
