CE Board Exam Randomizer

⬅ Back to Engineering Economy Topics

Depreciation Methods

Depreciation tracks the loss in value of an asset over time. Common methods include straight-line, sum-of-years digits, declining balance, MACRS, and sinking fund.

$$D_{SL}=\frac{FC-SV}{n}$$

Problem 87: Straight-Line Depreciation

A truck loader costs $50,000, salvage value $5,000, and life 5 years. Find annual depreciation and book value at the end of year 3 using straight-line depreciation.

$$D=\frac{50,000-5,000}{5}=9,000$$
$$BV_3=50,000-3(9,000)=23,000$$

Final answer: annual depreciation $9,000; book value $23,000.

Problem 89: Sum of Years Digits

A truck loader costs $50,000, salvage $5,000, and life 5 years. Find total depreciation and book value at the end of its life using sum-of-years digits.

$$SYD=\frac{5(1+5)}{2}=15$$

Total depreciation over the life is $45,000, so book value is the salvage value.

Final answer: total depreciation $45,000; book value $5,000.

Problem 93: Sinking Fund Method

A machine costs P200,000 with salvage P15,000 at the end of 8 years. Find book value after 6 years using sinking fund depreciation at 6%.

$$A=\frac{(200000-15000)(0.06)}{(1.06)^8-1}=18,691.64$$
$$Total\ dep=18691.64\frac{(1.06)^6-1}{0.06}=130,380.14$$
$$BV=200,000-130,380.14=69,619.86$$

Final answer: P69,619.86.

Scroll to zoom