Question

You can receive 400,000 five years from today or 1,000,000 thirty years from today. what interest rate makes them equivalent?

Answer 1

3.73%

Step-by-step 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%