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National Paper Company is contemplating the replacement of one of its bottling machines with a newer and more efficient one. The old machine has a book value of Rs 600,000 and a remaining useful life of 5 years. The firm does not expect to realize any return from scrapping the old machine in five years but it can sell the machine now to another firm in the industry for Rs 265,000. The old machine is being depreciated towards a zero salvage value or by Rs 120,000 per year, using the straight-line method. New Machine: Purchase Price: Rs 1,175,000 Estimated Useful Life: 5 years Estimated Salvage Value: Rs 145,000 Expected Annual Savings: Rs 225,000 Depreciation Rates: 20%, 32%, 19%, 12%, 11% Marginal Tax Rate: 34% Cost of Capital: 12% Required Calculations Initial Cash Outlay for the New Machine Change in Annual Depreciation Expenses if the Replacement is Made Operating Cash Flows in Years 1 through 5 Cash Flows from the Salvage Value in Year 5 Decision on Purchasing the New Machine

Question

National Paper Company is contemplating the replacement of one of its bottling machines with a newer and more efficient one. The old machine has a book value of Rs 600,000 and a remaining useful life of 5 years. The firm does not expect to realize any return from scrapping the old machine in five years but it can sell the machine now to another firm in the industry for Rs 265,000. The old machine is being depreciated towards a zero salvage value or by Rs 120,000 per year, using the straight-line method.

New Machine:

Purchase Price: Rs 1,175,000 Estimated Useful Life: 5 years Estimated Salvage Value: Rs 145,000 Expected Annual Savings: Rs 225,000 Depreciation Rates: 20%, 32%, 19%, 12%, 11% Marginal Tax Rate: 34% Cost of Capital: 12% Required Calculations Initial Cash Outlay for the New Machine Change in Annual Depreciation Expenses if the Replacement is Made Operating Cash Flows in Years 1 through 5 Cash Flows from the Salvage Value in Year 5 Decision on Purchasing the New Machine

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Solution

Sure, let's break down the calculations step by step:

  1. Initial Cash Outlay for the New Machine: The initial cash outlay for the new machine is the purchase price of the new machine minus the selling price of the old machine. So, Rs 1,175,000 (purchase price of new machine) - Rs 265,000 (selling price of old machine) = Rs 910,000.

  2. Change in Annual Depreciation Expenses if the Replacement is Made: The new machine's annual depreciation is calculated by subtracting the salvage value from the purchase price and then dividing by the useful life. So, (Rs 1,175,000 - Rs 145,000) / 5 = Rs 206,000 per year. The old machine's annual depreciation is Rs 120,000. So, the change in annual depreciation is Rs 206,000 - Rs 120,000 = Rs 86,000.

  3. Operating Cash Flows in Years 1 through 5: The operating cash flows are calculated by adding the expected annual savings to the change in depreciation, and then subtracting the product of the marginal tax rate and the sum of the expected annual savings and the change in depreciation. So, for each year, the operating cash flow is Rs 225,000 + Rs 86,000 - 0.34 * (Rs 225,000 + Rs 86,000).

  4. Cash Flows from the Salvage Value in Year 5: The cash flow from the salvage value is the salvage value of the new machine minus the product of the marginal tax rate and the difference between the salvage value of the new machine and its book value at the end of its useful life. So, Rs 145,000 - 0.34 * (Rs 145,000 - Rs 0) = Rs 145,000 - 0.34 * Rs 145,000.

  5. Decision on Purchasing the New Machine: The decision on purchasing the new machine is based on the net present value (NPV) of the cash flows. If the NPV is positive, the new machine should be purchased. If the NPV is negative, the new machine should not be purchased. The NPV is calculated by subtracting the initial cash outlay from the sum of the present values of the operating cash flows and the cash flow from the salvage value, each discounted at the cost of capital.

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