4.2. Comparison of Payback Periods for Loaders

So, depreciation for the first year is nothing but 0.4 into book value. D = 0.4 × 28,00,000 = 11,20,000 rupees

Depreciation refers to the reduction in value of an asset over time as it is used. In this case, the first year's depreciation is calculated by multiplying the book value of the loader by 0.4 (or 40%). The book value at the start is 28,00,000 rupees. Thus, the depreciation for the first year is 11,20,000 rupees.

Think of a new car that you buy for 28,00,000 rupees. As you drive it each year, it loses value. The first year's depreciation represents how much value it loses during that year, which in this case is similar to the loader. This helps you understand that assets lose value just like a car does after being driven.

So, now you calculate the book value at the end of first year, so what is the book value at the beginning of year that is nothing but your purchase price of the machine 28 lakh minus the depreciation for the first year. That is nothing but 11,20,000, that gives you the book value at the end of the first year as 16,80,000...

To find the book value at the end of the first year, we start with the initial purchase price of 28,00,000 rupees and subtract the depreciation calculated for that year (11,20,000 rupees). This results in a new book value of 16,80,000 rupees at the end of the first year.

Using the earlier example of buying a car for 28,00,000 rupees, if you realize that the car has lost value over the first year, you subtract the depreciation (how much value it has lost) from the original price to know how much it is worth now. That concept is the same for the loader.

So, for the second year the depreciation is nothing but D2 is 0.4 into book value the end of first year. D = 0.4 × 16,80,000 = 6,72,000 rupees...

For the second year, the calculation of depreciation follows the same method. We take 40% of the book value at the end of the first year, which is now 16,80,000 rupees, resulting in a second year's depreciation of 6,72,000 rupees. This depreciation again reduces the book value, calculated by subtracting this depreciation from the book value at the end of the first year.

Imagine you buy a tech gadget that loses value each year. In the second year, you would similarly calculate how much value is lost based on its new worth, just like the loader’s book value decreases after each year’s depreciation calculation.

So, what is the annual cost for the first year? Your operating in the maintenance cost for the first year is 12 lakh and your depreciation for the first year is 11,20,000, so your annual cost will be Annual cost of first year = 11,20,000+12,00,000 = 23,20,000 rupees...

The annual cost of running the loader includes both operational and maintenance costs plus the yearly depreciation. For the first year, we calculate the total by adding operational costs (12,00,000 rupees) and depreciation (11,20,000 rupees), which totals to 23,20,000 rupees. This total cost is essential for understanding how economically viable the machine is.

Just like budgeting for running a car involves considering gas, insurance, and how much value it loses each year, calculating the loader’s annual costs involves summing its depreciation and service costs. This helps in determining whether owning it is financially sensible.

So, now let us compare the average annual cumulative cost of the proposed loader and the old loader... the minimum average annual cumulative costs is 17,99,541.

After calculating the annual costs for each year, cumulative costs can be evaluated to find average annual costs. It is important to compare these average costs between the new (proposed) loader and the old loader. Cumulative costs reflect the total investment over time, helping to determine the economic longevity or viability of the loader.

Think of keeping track of expenses for a new car versus an old car over the years to see which one costs more to maintain and run. Similarly, understanding the cumulative costs allows for comparing overall expenses against economic value when deciding whether to keep or replace a machine.

So, Dr. James Douglas has given a guideline for this minimum cost approach to decide when to replace the old machine with the new machine...

Dr. James Douglas outlines a guideline for deciding when a loader (or any machine) should be replaced. The replacement decision is justified when the future estimated annual cost of the current machine exceeds the minimum average annual cumulative cost of a new machine. The goal is to minimize total costs by making timely replacement decisions.

Just like a homeowner might decide to replace an old heating system when the repair costs start exceeding the cost of a new, more efficient system, this guideline helps businesses know the right time to invest in new equipment versus pouring more money into old machinery.

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