In: Economics
What is the equivalent annual worth of a 20-year project that has a $2 million initial cost, annual operating costs of $54,652 and annual benefits of $274,189? Assume a discount rate of 9.0%.
Enter your answer in the box below in units of $.
Annual worth = 444.10 $
where, present value of cash flows = Amount / (1 + interest rate) ^t
Annual worth =
Where,
P = Present value
I = interest rate = 9 %
N = no of years = 20 years
So, P = 4054 $
solving for i(1 + i)n
= 0.09(1 + 0.09)20
= 0.50439696910004627436958789718625
solving for (1 + i)n – 1
= (1 + 0.09)20 – 1
= 4.6044107677782919374398655242917
now, 4054 ( 0.50439696910004627436958789718625 / 4.6044107677782919374398655242917)
Annual worth = 444.10 $