For the cash flows presented in the following diagram, what is the uniform annual equivalent worth? The project has an interest rate of 8% per year.
Expert Answer
Present value of cash flows = 5000/1.08 + 5000/1.08^2 + 5000/1.08^3 + 5000/1.08^4 + 5000/1.08^5 + 15000/1.08^8 + 10000/1.08^10 – (25000 + 7500/1.08^7)
Present value of cash flows = $3323.34
Let, equivalent annual worth = EAW
Then,
3323.34 = EAW*(1-1/1.08^10)/.08 = EAW*6.71
EAW = 3323.34/6.71
EAW = $495.28
Hence, the uniform equivalent annual worth is $495.28.