R Ltd. wants to reduce the dependency of manual workforce in the operation of its factory by adopting automatic machine. It has two options under…
CA Intermediate · Financial Management and Strategic Management · PYQS · May 2026
R Ltd. wants to reduce the dependency of manual workforce in the operation of its factory by adopting automatic machine. It has two options under consideration Machine M and Machine N. Both the machines serve the same job and are also able to satisfy the purpose of the company. Machine M Machine N Purchase cost (₹) 4,50,000 3,50,000 Estimated useful life 5 years 7 years Estimated salvage value (% of cost) 10% 10% Annual saving to wages (₹) 11,00,000 12,00,000 Runing cost per year (excl. depreciation) (₹) 9,00,000 11,00,000 Annual saving in scrap due to use of machine in place of manual work force (₹) 1,00,000 1,20,000 The Company's cost of capital is 9%. Corporate tax rate is 25%. Depreciation will be charged on SLM basis. (i) Calculate NPV and Profitability index for each machine. (ii) Which machine should be selected on the basis of Equivalent Annualized Criterion? Year 1 2 3 4 5 6 7 PVIF 0.09, t 0.917 0.842 0.772 0.708 0.650 0.596 0.547 PVIA 0.09, t 0.917 1.759 2.531 3.239 3.889 4.485 5.032
Suggested Answer and Working Notes:
Evaluation of Alternatives Working Notes: Depreciation on Machine M = (4,50,000 - 45,000) 5 = 81,000 Depreciation on Machine N = (3,50,000 - 35,000) 7 = 45,000 (i) NPV and PI for each machine Particulars Machine M (₹) Machine N (₹) Annual Savings: Direct Wages 11,00,000 12,00,000 Scraps 1,00,000 1,20,000 Total Savings (A) 12,00,000 13,20,000 Annual Running Cost (B) 9,00,000 11,00,000 Annual Cash Savings (A-B) 3,00,000 2,20,000 Less: Depreciation 81,000 45,000 Annual Savings before Tax 2,19,000 1,75,000 Less: Tax @ 25% 54,750 43,750 Annual Savings /Profits after tax 1,64,250 1,31,250 Add: Depreciation 81,000 45,000 Annual Cash Inflows 2,45,250 1,76,250 PVIFA 3.889 5.032 PV of Annual Cash Inflows 9,53,777.25 8,87,890 PV of Salvage Value 45,000 x 0.650 35,000 x 0.547 = 29,250 = 19,145 Total PV of Inflows 9,83,027.25 9,06,035 NPV 9,83,027.25 - 4,50,000 9,06,035 - 3,50,000 = 5,33,027.25 = 5,56,035 PV Index = Present Value of Cash Inflow Investment 9,83,027.25 4,50,000 = 2.18 9,06,035 3,50,000 = 2.59 (ii) Equivalent Annualized NPV Machine M = 5,33,027.25 3.889 = 1,37,060/- Machine N = 5,56,035 5.032 = 1,10,500/- So machine M should be selected on the basis of Equivalent Annualized Criterion.
Topics: Part-A: Financial Management
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