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8. A machine can be purchased for Rs. 50, 000. Machine will be contributing Rs. 12, 000 per year for the next five years. Assuming borrowing cost is 10% per annum. Determine whether machine should be purchased or not?
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8. A machine can be purchased for Rs. 50, 000. Machine will be contrib...
Analysis of the Problem


  • Cost of the machine: Rs. 50,000

  • Annual revenue generated by the machine: Rs. 12,000

  • Duration of revenue generation: 5 years

  • Borrowing cost: 10% per annum



Calculation of the Net Present Value (NPV)


  • NPV is the difference between the present value of cash inflows and the present value of cash outflows.

  • NPV formula: NPV = (Cash inflow / (1 + r)^n) - Initial investment

  • Where r is the discount rate and n is the number of years

  • Initial investment: Rs. 50,000

  • Cash inflow per year: Rs. 12,000

  • Discount rate: 10%

  • NPV calculation:

    • Year 1: Rs. 10,909.09

    • Year 2: Rs. 9,917.80

    • Year 3: Rs. 9,016.18

    • Year 4: Rs. 8,194.71

    • Year 5: Rs. 7,445.19

    • Total NPV: Rs. 45,483.97





Conclusion

Based on the NPV calculation, it is clear that the machine should be purchased as the NPV is positive. The machine will generate a total NPV of Rs. 45,483.97 over the next five years, which is higher than the initial investment of Rs. 50,000. The borrowing cost of 10% per annum is also factored into the calculation, which shows that the revenue generated by the machine is enough to cover the borrowing cost and still result in a positive NPV. Therefore, it is recommended to purchase the machine as it will provide a positive return on investment.
Community Answer
8. A machine can be purchased for Rs. 50, 000. Machine will be contrib...
Not purchase machinery

leasing cost = 10÷100+1÷=5 times Gt × 12000=45,489.44
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8. A machine can be purchased for Rs. 50, 000. Machine will be contributing Rs. 12, 000 per year for the next five years. Assuming borrowing cost is 10% per annum. Determine whether machine should be purchased or not?
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