To calculate the payback period, we need to determine the number of years it will take for each project to recover its initial investment.
For Project A: Year 1: Rs. 30,000 Year 2: Rs. 50,000 Year 3: Rs. 60,000 Year 4: Rs. 65,000 Year 5: Rs. 40,000
Total cash inflow after depreciation and tax: Rs. 2,45,000
Payback period for Project A = 1 + (Rs. 35,000 / Rs. 65,000) = 1.54 years
For Project B: Year 1: Rs. 60,000 Year 2: Rs. 1,00,000 Year 3: Rs. 65,000 Year 4: Rs. 45,000
Total cash inflow after depreciation and tax: Rs. 2,70,000
Payback period for Project B = 1 + (Rs. 15,000 / Rs. 45,000) = 1.33 years
To calculate the profitability index, we need to calculate the present value of each project's cash inflows and divide it by the initial investment.
For Project A: PV of cash inflows = (Rs. 30,000 / 1.08) + (Rs. 50,000 / 1.08^2) + (Rs. 60,000 / 1.08^3) + (Rs. 65,000 / 1.08^4) + (Rs. 40,000 / 1.08^5) PV of cash inflows = Rs. 1,87,231.54
Profitability Index for Project A = Rs. 1,87,231.54 / Rs. 1,80,000 = 1.04
For Project B: PV of cash inflows = (Rs. 60,000 / 1.08) + (Rs. 1,00,000 / 1.08^2) + (Rs. 65,000 / 1.08^3) + (Rs. 45,000 / 1.08^4) PV of cash inflows = Rs. 2,11,128.21
Profitability Index for Project B = Rs. 2,11,128.21 / Rs. 1,80,000 = 1.17
To calculate the net present value, we need to subtract the initial investment from the present value of cash inflows.
For Project A: NPV = Rs. 1,87,231.54 - Rs. 1,80,000 = Rs. 7,231.54
For Project B: NPV = Rs. 2,11,128.21 - Rs. 1,80,000 = Rs. 31,128.21
Therefore, based on the above calculations, Project B is more favorable as it has a shorter payback period, higher profitability index, and a higher net present value.
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