To calculate depreciation using a sinking fund, first determine the asset's cost, its useful life, and the expected salvage value at the end of its life. You then calculate the annual sinking fund deposit required to accumulate the salvage value, using the formula:
[ S = \frac{P}{(1 + r)^n - 1} ]
where ( S ) is the sinking fund deposit, ( P ) is the salvage value, ( r ) is the interest rate, and ( n ) is the number of years. The annual depreciation expense is then equal to the sinking fund deposit, reflecting how much should be set aside each year to replace the asset at the end of its useful life.
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