107. An investment property now worth $180,000 was purchased seven years ago for $142,000. At the time of the purchase, the land was valued at $18,000. Using a 39-year life for straight-line depreciation purposes, the present book value of the property is
a. $95,071.35.
b. $113,071.00.
c. $126,000.50.
d. $119,743.59.
107. d. The answer is $119,743.59. The book value of the property is not related to the market value; book value is an accounting technique for getting the tax benefits of paper depreciation. Land does not depreciate in book value. The property (including land and improvements) was purchased for $142,000. Five steps: (1) Find the original book value of the improvements by subtracting the value of the land from the entire purchase price ($142,000 – $18,000 = $124,000). (2) Find the depreciation for one year using a 39-year economic life ($124,000 ÷ 39 = $3,179.49). (3) Find total depreciation over the last 7 years ($3,179.49 × 7 = $22,256.41). (4) Find the present book value of the improvement ($124,000 – $22,256.41 = $101,743.59). (5) Find the present book value of the improvement plus the land ($101,743.59 + $18,000 = $119,743.59).