In: Finance
What is the present value of $1 billion paid at the end of every year in perpetuity, assuming a rate of return of 10% and a constant growth rate of 4%?
P0 = CF0(1+g)/(r - g)
Where:
CF0(1+g) = Cash flows at t = 0 , plus growth
g = Constant growth rate
r = rate of return
P0 = 1(1.04)/(0.10 - 0.04)
P0 = 1.04/0.06 = $17.333333 billions