4.3. Illustration of Switching Process

So, next is a sum of the years digit method. So, here, how do you calculate the depreciation for the first year when you calculate the number of years left in the recovery period is say n = 9. So, number of years left in the recovery period is 9 divided by the sum of the years in the useful life 1+ 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 multiplied by initial cost minus the salvage value minus tire cost. So, this will give you the depreciation for the first year.

𝑦𝑒𝑎𝑟 "n" digit 𝐷 = 𝑛 1+2+3+⋯+𝑛 9 𝐷 = (8200000−600000−1200000) / (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9) = ₹ 12,80,000/-

This chunk explains the calculation of depreciation using the sum of the years digit method. The initial step involves determining 'n', which is the number of years left in the asset's recovery period (in this case, 9 years). This value is divided by the sum of all years in the useful life of the asset, calculated as 1+2+3+...+9. This fraction is then multiplied by the depreciable base, which is the initial cost minus both salvage value and tire cost. Therefore, the calculation for the first year's depreciation results in ₹ 12,80,000 due to the substantial initial costs and deductions.

Imagine you have a new car worth ₹ 82 lakh, and you plan to use it for 9 years. You also want to know how much money you can write off each year as depreciation for tax purposes. Just like how you would manage your savings and expenses over time, you allocate a larger expense (depreciation) in the earlier years when the car is most valuable, similar to how you might spend more on maintenance during those years.

Similarly, depreciation for the second year number of years left in the recovery period is nothing but number of years left in the recovery period from the beginning of the second year to the end of the useful life of the machine is 8 years. So divided by the sum of the years in the useful life multiply by a initial cost minus tire cost minus salvage value. Similarly, we calculate the depreciation for every year.

8 𝐷 = (8200000−600000−1200000) / (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9) = ₹ 11,37,777.78/-

In the second year, the calculation of depreciation is adapted due to the reduced number of years left (8 years). This means the numerator for the fraction changes, reflecting only the years left in the recovery period. Using the same methodology as the first year, the depreciation for the second year is ₹ 11,37,777.78, which is less than the first year's depreciation, indicating that as time passes, the depreciation amount gradually declines while reflecting the asset's reduced book value.

Think of it like a school project spread over multiple years. In the first year, you might spend a lot on materials and setup. But in the second year, the costs are lower because you've already bought most of what you need. Similarly, as the car ages, you write off less in depreciation since its value decreases.

Now, let us move on to the double declining balance method. In double declining balance method it is totally different from the earlier method as I told you here, we are not using salvage value in the estimation of the depreciation of the machine.

The double declining balance (DDB) method accelerates depreciation by applying a constant percentage (double the straight-line rate) to the remaining book value of the asset instead of the original cost. This means that at the start, the depreciation expense is larger, reflecting more economic loss in the early years. The key difference from previous methods is that the salvage value is not deducted during these calculations, leading to potentially greater depreciation expenses initially.

Imagine a smartphone that rapidly loses value due to technological advancements. In the first few years, the depreciation value reflects that rapid loss, similar to how the DDB method works – you account for more depreciation upfront rather than evenly across its life. Just like how older models become less valuable faster, the double declining method emphasizes this early loss.

Now what is the book value at the end of the year it is nothing but your book value at the beginning of the year minus your depreciation that gives you the book value at the end of the year so book value at the beginning of year is 76 lakh and depreciation is 16,88,888 when you subtract both you will get the book value at the end of the year.

To find the book value at the end of the year using the DDB method, subtract the calculated depreciation from the book value at the start of the year. In this case, if the starting book value was ₹ 76 lakh and depreciation was ₹ 16,88,888, the end-of-year book value would be ₹ 59,11,111.12. This process continues each year, updating the book value based on the depreciation charged.

Imagine keeping a diary of your monthly expenses. At the start of the month, you have a sum of money, and as the month progresses, you spend some of it. By subtracting your spending (depreciation) from your initial amount, you can see how much you have left at the end of the month (book value). Over time, your total money decreases, just like how a car depreciates.

Switching occurs when the annual depreciation calculated by the straight line method exceeds the depreciation calculated with a DDB method.

The need to switch depreciation methods arises when the calculated depreciation using the straight-line method becomes greater than that calculated using the DDB method. As the asset ages, the DDB method may provide lower depreciation rates, necessitating a switch to ensure depreciation remains aligned with actual book values. This transition helps manage long-term financial statements and tax liabilities effectively.

Think about upgrading from a basic phone plan to an unlimited data plan as your usage increases. Initially, you might not need the extra data, but as you begin to stream more videos and use more apps, it becomes necessary to upgrade to avoid running out of limits. Similarly, switching depreciation methods aligns your financial reporting with the real value of your asset as it is utilized more heavily.

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