Answer: The answer is given below
Explanation:
Here , we are going to apply the present value of annuty formula.
a. Social Opportunity cost = $1.1 Million
The Yearly cash flows = $110,000
Time (n) = 20 years
The Discount rate (R) = 4%
Net benefits= Present value of cash inflows - the intial socail opportnity cost
Net benefits= Yearly cash flow × (1 - 1/(1+R)^n) / R - 1100000
Net benefits = 110000 × (1 - 1/1.04^20)/0.04 - (1100000)
= $394936
b. We will use the formula for present value of an annuity with the growth rate in benefits as 2 percent.
Firstly, dg= (0.04 - 0.02)/ (1+0.02)
= 0.01961
PV(benefits) = [($110,000)÷ (1+0.02)][1-(1+dg)-20]/dg]
= $1,770,045
NPV = $1,770,045 - $1,100,000= $670,045
