Question

Find the APR or stated rate in each of the following cases and show calculations:<?xml:namespace prefix = o ns = "urn:schemas-microsoft-com:office:office" />

1. 10.6%-EAR , compounded semiannually
2. 11.5% EAR, compounded monthly
3. 9.2% EAR, compounded weekly
4. 12.9% EAR, compounded Infinite

Answer 1

Answer and Explanation:

The computation is shown below:

The formula is

APR = P × {(EAR + 1 )^(1 ÷ P) - 1}

1. For semi annually

= 2 × (0.106 + 1)^(1 ÷ 2) - 1}

= 10.33%

2. For monthly

= 12 × (0.115 + 1)^(1 ÷ 12) - 1}

= 10.93%

3. For weekly

= 52 × (0.092 + 1)^(1 ÷ 52) - 1}

= 8.81%

4. For infinite

= 365 × (0.129 + 1)^(1 ÷ 365) - 1}

= 12.10%