Answer:
The correct answer for option (a) is 7.17% and for option (b) is $48,546.69.
Explanation:
According to the scenario, the given data are as follows:
(a) Present value = $3,000
Future value = $6,000
Time period = 10 years
So, we can calculate the annual rate of return by using following formula:
Rate of return = (( FV ÷ PV)^1/t -1)
= (( $6,000 ÷ $3,000)^1/10 -1)
= (2)^0.1 - 1
= 1.07177346254 - 1
= .07177 or 7.17%
(b) Present value = $12,000
Rate of interest (r) = 15%
Time period = 10 year
So, we can calculate the Future value by using following formula:
FV = PV × ( 1+r)^t
= $12,000 × ( 1 + 15%)^10
= $12,000 × 4.04555773571
= $48,546.69
