Answer:
NPV = - $5,573.24
Explanation:
We know,
Net Present value = ∑[tex]\frac{Cashflow_{t}}{(1 + r)^{t}}[/tex] - Initial Cash flow
Given,
Cost of capital, r = 12% = 0.12
Initial cash flow = $50,000
number of year, t = 3
Therefore,
Present value of cash flows = [tex]\frac{15,000}{(1 + 0.12)} + \frac{30,000}{(1 + 0.12)^2} + \frac{20,000}{(1 + 0.12)^3}[/tex]
Present value of cash flows = [tex]\frac{15,000}{1.12} + \frac{30,000}{(1.12)^2} + \frac{20,000}{(1.12)^3}[/tex]
Present value of cash flows = [tex]\frac{15,000}{1.12} + \frac{30,000}{1.2544} + \frac{20,000}{1.4049}[/tex]
Present value of cash flows = $13,392.8571 + $23,915.8163 + $14,235.8887
Present value of cash flows = $51,544.56
Present value of cash outflow = $50,000 + [10,000 ÷ (1.12)^3]
Present value of cash outflow = $50,000 + $7,117.80
Present value of cash outflow = $57,117.80
Therefore, NPV = $51,544.56 - $57,117.80
Net present value, NPV = - $5,573.24