5.2. Sum of the Years Digit Method

Now, let us move on to the next method of estimating the depreciation is nothing but your sum of the years the digit depreciation method. So, how this method is going to be different from the earlier method we will see now. So, here this is an accelerated method compared to the straight line method that means, it will give you higher depreciation in the early age of the machine during the early ages of machine it projects higher depreciation.

The Sum of the Years Digit Method is a technique to calculate depreciation that allows for a higher depreciation expense during the earlier years of an asset's life. This contrasts with the Straight Line Method, which spreads the depreciation evenly across the useful life of the asset. With this method, the rationale is that assets tend to lose their value more quickly when they are new, thus accounting for a larger depreciation charge early on.

Think of a new car that starts to lose its value rapidly the moment you drive it off the lot. In the first year, your car might lose a significant percentage of its value due to depreciation, much like how the Sum of the Years Digit Method accounts for rapid initial depreciation compared to when the car is a few years old.

So how do you calculate here annual depreciation is nothing but your depreciation factor multiplied by initial cost minus salvage value minus tire cost? So, this is a depreciation factor for the rate of depreciation for this method. So, how do you calculate this depreciation factor? It is nothing but number of years left in the recovery period to some of the years the recovery period.

To calculate the annual depreciation under the Sum of the Years Digit method, you first determine a depreciation factor. This factor is calculated by taking the number of years left in the asset's useful life and dividing it by the sum of the digits of the years of the recovery period. For example, if the useful life of the asset is 5 years, you sum the digits 1 through 5, which equals 15. In the first year, the factor would be 5/15, and in the second year, it would be 4/15, and so on. This ratio directly affects the depreciation expense recognized for each year.

Imagine a new smartphone that depreciates more during the first year than the next. If the smartphone has a five-year useful life, you could visualize its depreciation as a pie chart. In year one, a bigger slice of the pie is taken away showing that it lost more value. Each subsequent year, a slightly smaller slice is carved out, representing less depreciation. This is precisely how the Sum of the Years Digit method operates.

So, now say for example, if I am going to calculate the depreciation for the first year. D1 what will be in the numerator for the depreciation factor, number of years left in the recovery period from the beginning of the year for which we are going to calculate the depreciation to the end of the useful life? So from the beginning of this year to the end of the useful life, what is the number of years left say for example, the useful life of the machine n = 5.

To find the depreciation for the first year, if your machine’s total useful life is 5 years, the factor in the numerator is 5, capturing that there are 5 years of value left. The denominator should be the sum of all digits of the useful life, which for 5 years is 15 (1+2+3+4+5). Therefore, for the first year, the depreciation would be calculated by multiplying the factor (5/15) by the depreciable base (initial cost minus salvage value minus tire cost). This allows you to determine precisely how much of the asset's value should be allocated to depreciation for that year.

Consider this method like splitting an increasing birthday cake. The first year, you get the largest slice, representing the highest depreciation, and as the years pass, the slices get smaller, representing lesser depreciation in each following year.

So, it is a more accelerated depreciation method and more realistic people prefer accelerated depreciation method as I told you, because of the tax benefits they get because of the depreciation expenses.

Businesses often prefer methods like the Sum of the Years Digit Method because it allows for accelerated depreciation. This increased initial depreciation reduces taxable income significantly in the early years after an asset is acquired, providing financial relief in those crucial years when cash flow may be a concern. Therefore, it is a strategic choice for tax planning and management.

Imagine a business investing in a new piece of machinery. By using the Sum of the Years Digit Method, they can reduce their taxable income significantly in the first few years, effectively giving them a 'tax break' during a time when they might be spending heavily to set up new operations, thereby providing them essential cash flow to invest elsewhere.

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