PQ Machines Ltd. has a machine having an additional life of 5 years, which costs ₹2,00,00,000 and which has present book value of ₹50,00,000, which will run for another 5 years without additional maintenance cost and has
CS Professional · Valuations & Business Modelling · PYQS · December 2021
PQ Machines Ltd. has a machine having an additional life of 5 years, which costs ₹2,00,00,000 and which has present book value of ₹50,00,000, which will run for another 5 years without additional maintenance cost and has no salvage value. A new machine costing ₹4,40,00,000 is available. Though its capacity is same as that of the old machine, it will mean a saving in variable costs to the extent of ₹1,40,00,000 p.a. The life of the machine will be 5 years at the end of which it will have a scrap value of ₹80,00,000. The rate of income tax is 30% and PQ Machines Ltd. does not make an investment, if it yields less than 12%. The old machine, if sold, will fetch ₹20,00,000. Advise PQ Machines Ltd. whether the old machine should be replaced or not. Note: P.V. of ₹1 receivable annually for 5 years at 12% = 3.605 P.V. of ₹1 receivable at the end of 5 years at 12% = 0.567 P.V. of ₹1 receivable at the end of 1 year at 12% = 0.893.
Answer & Explanation:
To advise PQ Machines Ltd. on whether to replace the old machine, we need to calculate the Net Present Value (NPV) of the new machine. 1. Initial Cash Outflow: Cost of New Machine = ₹4,40,00,000 Less: Sale proceeds of Old Machine = ₹20,00,000 Net Initial Cash Outflow = ₹4,20,00,000 2. Annual Cash Inflows (Savings): Particulars Amount (₹) Cash Inflow Saving in Variable Cost 1,40,00,000 Less: Depreciation on New Machine (₹4,40,00,000 - ₹80,00,000) / 5 years 72,00,000 Less: Depreciation on Old Machine (₹50,00,000 Book Value / 5 years) 10,00,000 Net Depreciation Difference 62,00,000 Net Profit before Tax (1,40,00,000 - 62,00,000) 78,00,000 Less: Tax @ 30% 23,40,000 Net Inflow/Saving after Tax 54,60,000 Add: Depreciation (Non-cash expense, added back) 62,00,000 Annual Cash Inflow (Operating Cash Flow) 1,16,60,000 3. Present Value of Annual Cash Inflows: P.V. of Cash inflow for 5 years = Annual Cash Inflow × PVIFA (12%, 5 years) = ₹1,16,60,000 × 3.605 = ₹4,20,34,300 4. Terminal Cash Inflow (Scrap Value of New Machine): P.V. of scrap value at the end of 5 years = Scrap Value × PVIF (12%, 5 years) = ₹80,00,000 × 0.567 = ₹45,36,000 5. Total Present Value of Cash Inflows: = P.V. of Annual Cash Inflows + P.V. of Terminal Cash Inflow = ₹4,20,34,300 + ₹45,36,000 = ₹4,65,70,300 6. Net Present Value (NPV): NPV = Total Present Value of Cash Inflows - Net Initial Cash Outflow = ₹4,65,70,300 - ₹4,20,00,000 = ₹45,70,300 Conclusion: Since the NPV is positive (₹45,70,300), it is profitable to install the new machine. Therefore, PQ Machines Ltd. should replace the old machine with the new one.
Topics: Capital Budgeting
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