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A machine has been purchased and installed at a total cost of P18,000

Accounting Jan 20, 2021

A machine has been purchased and installed at a total cost of P18,000.00. The machine will be retired at the end of 5 years, at which time it is expected to have a scrap value of P2,000.00 based on current prices. The machine will then be replaced with an exact duplicate. The company plans to establish a reserve fund to accumulate the capital needed to replace the machine. If an average annual rate of inflation of 3% is anticipated, how much capital must be accumulated? * P15,030.00 P18.548.39 P15.386.00 None of the above

Expert Solution

Calculation of Cost of Machinery at the end of Year 5 :-

It is given that, Present value of Machinery = P 18,000

This machinery will be replaced at the end of year 5 with an exact duplicate.

It is given that inflation rate will be 3% p.a.

Then, Value of Machinery at the end of Year 5 will be = P 18,000 × (1.03)^5 = P 20,866.9333374

Scrap Value Determination:-

It is given that Scrap Value at the end of Year 5 will be P 2,000 at Current Prices.

That means Scrap Value at the end of Year 5 will be = (1.03)^5 × P 2,000 = P 2,318.5481486

Determining how much Capital to be Accumulated:-

Cost of Machinery at Year 5 = P 20,866.9333374

(-) Scrap Value at Year 5 = P 2,318.5481486

Net Capital to be Accumulated = P 18,548.3851888

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