What are the two accelerated depreciation methods?

The two accelerated depreciation methods are indeed the declining balance method and the sum-of-the-years'-digits method.

The declining balance method allows for a larger depreciation expense in the earlier years of an asset's useful life and gradually decreases over time. This method is advantageous for businesses that want to increase deductions in initial years when cash flow might be tighter or when an asset is expected to generate more revenue early in its useful life.

The sum-of-the-years'-digits method also front-loads depreciation expenses, allowing for higher deductions in the earlier years and lower deductions as the asset ages. This method calculates depreciation based on a fraction where the numerator is the remaining life of the asset and the denominator is the sum of the years of useful life. This approach also reflects the fact that many assets lose their value more rapidly in the early years.

Thus, both methods serve the purpose of accelerating depreciation, providing tax benefits sooner rather than later, which can be strategically useful for businesses as they manage cash flows and investments. The other options identify methods that do not fit the criteria for accelerated depreciation or include choices where only one of the methods is accelerated.