Answer:
a)Annual rate of return = 4.67%
(b)Annual rate of return = 4.66%
Step-by-step explanation:
Annul rate of return where compounding is done more frequenting could be worked out as follows:
Annual rate of return = (1+r)^n - 1
r - rate of return per period
n- number of periods in a year
a) Monthly rate of 4.57%
r- monthly rate = 4.57%/12 = 0.38% per month
n- 12 months
Annual rate of return = (1+ 0.003808)^12 - 1 × 100 = 4.67%
Annual rate of return = 4.67%
b) 4.58% compounded quarterly
r- quarterly rate = 4.58%/4 = 1.145 %
n- 4 quarters in a year
Annual rate of return = (1+0.01145)^4 - 1 × 100= 4.66%
a)4.57% monthly
Annual rate of return = 4.67%
(b)4.58% compounded quarterly
Annual rate of return = 4.66%