What is the present value of an investment project that generates $10,000 at the end of each year forever, if the interest rate is 8% per year?

Respuesta :

Answer:

The PV is 125,000

Explanation:

We need to solve for the present value of a perpetuity:

[tex]\frac{Installment}{rate} = PV_p[/tex]

The yearly amounts are 10,000

while the current interest rate is 8% = 8/100 = 0.08

10,000 / 0.08 = 125,000

the perpetuity is worth 125,000 dollars

Note, when the market rate changes the value of the perpetuity also changes as the constant cash flow is dividend over a larger or lower rate generating smaller or higher amounts, respectively