Answer:
c. An account that pays 0.5 %0.5% per month for three years.
Explanation:
We can evaluate all the option using following formula:
EAR = ( 1 + ( r / m ) )^m -1
a.
2.5% every six months for three years
r= 2.5% = 0.025 / 6 =
m = 12/6 = 2
EAR = ( 1 + 0.025 )^2 -1
EAR = 0.050625 = 5.06%
7.5% every 18 months for three years
r= 7.5% for 1.5 years = 7.5% / 18 = 0.4167% per month = 0.004167 per month
EAR = ( 1 + 0.004167 )^12 -1
EAR = 0.051166 = 5.12%
0.5% every month for three years
r= 0.5% = 0.005
EAR = ( 1 + 0.005 )^12 -1
EAR = 0.0616778 = 6.17%
We will prefer an account that pays 0.5 %0.5% per month for three years, it pays the highest return.
