Answer:
3.73%
Explanation:
The computation of the rate of interest that makes the equivalent is shown below:
As we know that
Present value=Cash flow × Present value discounting factor ( interest rate% , time period)
Let us assume the interest rate be x
where,
Present value of $400,000 is
= $400,000 ÷ 1.0x ^5
And,
Present value of $1,000,000 be
= $1,000,000 ÷ 1.0x^30
Now eqaute these two equations
$400,000 ÷ 1.0x^5 = $1,000,000 ÷ 1.0x^30
(1.0x^30) ÷ (1.0x^5) = $1,000,000 ÷ $400,000
1.0x^(30 - 5)=2.5
1.0x^25=2.5
1.0x = (2.5)^(1 ÷ 25)
x =1.03733158 - 1
= 3.73%
