Answer:
1.64 years
2.27 years
3.13 years
Explanation:
Discounted payback calculates the amount of time it takes to recover the amount invested in a project from it cumulative discounted cash flows
Present value of cash flow in year 1 = 4300 / 1.13 = 3805.31
Amount recovered in year 1 = -5800 + 3805.31 = -1994.69
Present value of cash flow in year 2 = 4000 / (1.13^2) = 3132.59
Amount recovered in year 2 =-1994.69 + 3132.59 = 1137.90
Payback period = 1 + 1994.69/3132.59 = 1.64 years
B
Present value of cash flow in year 1 = 4300 / 1.13 = 3805.31
Amount recovered in year 1 = -7900 + 3805.31 = -4094.69
Present value of cash flow in year 2 = 4000 / (1.13^2) = 3132.59
Amount recovered in year 2 = -4094.69 + 3132.59 = -962.10
Present value of cash flow in year 3 = 5200 / (1.13^3) = 3603.86
Amount recovered in year 3 = -962.10 + 3603.86 = 2641.76
Payback period = 2 years + -962.10 / 3603.86 = 2.27 years
C
Present value of cash flow in year 1 = 4300 / 1.13 = 3805.31
Amount recovered in year 1 = -10900 + 3805.31 = -7094.69
Present value of cash flow in year 2 = 4000 / (1.13^2) = 3132.59
Amount recovered in year 2 = -7094.69 + 3132.59 = -3962.10
Present value of cash flow in year 3 = 5200 / (1.13^3) = 3603.86
Amount recovered in year 3 = -3962.10 + 3603.86 = -358.24
Present value in year 4 = 4400 / (1.13^4) = 2698.60
Amount recovered in year 4 = -358.24 + 2698.60 = 2340.36
Payback period = 3 years + 358.24 + 2698.60 = 3.13 years
