6. Next Steps

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

In the first year of depreciation, we calculate the depreciation amount by multiplying the depreciation rate (0.4) by the book value of the asset. The book value at the start is 28,00,000 rupees. Thus, the depreciation for the first year is computed as 11,20,000 rupees. This figure represents the reduction in value of the asset due to wear and tear over the first year.

Imagine you buy a new car for 28 lakh rupees. If the car loses 40% of its value in the first year due to usage and depreciation, that’s like saying after one year, the car is worth 16.8 lakh rupees instead of 28 lakh. Knowing that the car lost 11.20 lakh rupees in value can help you understand how quickly assets can depreciate.

So, now you calculate the book value at the end of the first year. That is the purchase price of the machine 28 lakh minus the depreciation for the first year 11,20,000, which gives you a book value of 16,80,000.

To find the book value at the end of the first year, we need to subtract the depreciation amount (11,20,000 rupees) from the initial purchase price (28,00,000 rupees). This results in a book value of 16,80,000 rupees, indicating how much the asset is worth at the end of the first year after accounting for depreciation.

Think of it like a smartphone. You buy it for 28,000 rupees, but after a year of using it, its value decreases due to wear and tear. If it’s worth 16,800 rupees after one year, that’s the book value, telling you what you’d get if you sold it at that point.

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

For the second year, depreciation is calculated by taking 40% of the remaining book value after the first year (16,80,000 rupees). Thus, the depreciation for this year is 6,72,000 rupees. This process continues annually, applying the depreciation rate to the new book value each year.

Consider your car again. After the first year, its new worth is 16.8 lakh. If it loses another 40% of its value in the second year, that loss is 6.72 lakh. This gradual decrease in value helps future planning for selling or replacing the asset.

Now calculate the book value at the end of the second year, it is book value at the end of the first year minus the depreciation for the second year. So, book value at the end of first year 16,80,000 minus depreciation for the second year 6,72,000 gives the book value at the end of the second year as 10,80,000.

At the end of the second year, we calculate the book value by subtracting the second year's depreciation (6,72,000 rupees) from the book value at the end of the first year (16,80,000 rupees). This gives us a total book value of 10,80,000 rupees at the end of the second year, showing the asset's continuing depreciation over time.

If after two years, your car is now valued at 10.8 lakh rupees, it helps you see how the value of a vehicle decreases as you use it more. It’s like gradually pulling bricks from a wall; each year, you lose more and more bricks (value) until it's significantly shorter (less valuable).

Now you can estimate the annual cost by adding the operating and maintenance cost to the depreciation. Annual cost of first year = 11,20,000 + 12,00,000 = 23,20,000 rupees.

To compute the total annual cost, we add the depreciation for the year to the operating and maintenance costs. For the first year, with the depreciation at 11,20,000 rupees and operation and maintenance costs at 12,00,000 rupees, the total annual cost is 23,20,000 rupees.

Imagine you have a monthly budget: you spend 12,000 rupees on upkeep for your car and have to consider the depreciation while planning next year's budget. By adding these together, you get an idea of the total cost of owning the car for that year.

Then you can calculate the cumulative cost, then find the average annual cumulative cost. Average annual cumulative cost, first year = 23,20,000 rupees.

The cumulative cost is the total of all costs incurred over the years, while the average annual cumulative cost is calculated by dividing the cumulative cost by the number of years the asset has been used. In the first year, since it's the only year, the average is simply the first year’s cost.

If you think of a savings jar where you put money each month, your cumulative savings after a year gives you a complete picture of what you've saved. The average would be divided by how many months you've saved to see how much you’re saving each month on average.

So, the minimum average annual cumulative costs for the proposed loader is lesser when compared to the old loader, justifying the replacement.

By comparing the average annual cumulative costs from each loader, if the proposed loader has a significantly lower cost, it suggests that replacing the old loader is financially wise. This cost-benefit analysis helps in making informed decisions about equipment management.

Consider choosing between two phones: if one costs 20% less over a year (including all operating costs), even if they have similar features, you might choose the cheaper one for long-term savings. Similarly, choosing the loader with lower average costs leads to better financial health.

The decision to replace the equipment is made when the estimated annual cost of the current machine exceeds the minimum average annual cumulative cost of the proposed machine.

Dr. James Douglas's guideline suggests that when the costs associated with keeping the current equipment exceed the benefits provided by a more efficient machine (e.g., a new loader), it’s time for replacement. Making timely decisions based on cost analytics helps in maintaining operational efficiency.

This is like evaluating whether to continue repairing an old car or invest in a new one. If ongoing repair costs exceed the total expenses of buying a new, more efficient car, it’s smart to let go of the old one.

Since your annual cost for the next year is higher than the proposed loader, it implies that you have to replace immediately.

If the forecasted costs for maintaining the old equipment are higher than the cost associated with utilizing a new piece of machinery, not only does it make financial sense to replace, but it also ensures that operational efficiency is maximized.

Think of deciding whether to keep a subscription that’s costing you monthly, and you're no longer using it effectively. If you find an alternative that's not just cheaper but offers more features, it’s time to move on and upgrade.

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