Final answer:
The cost recovery deduction for 2017 would be $13,332.
Step-by-step explanation:
To calculate the cost recovery deduction for 2017, we need to determine the depreciation expense for the asset. Since the asset is a three-year personalty, we can use the MACRS (Modified Accelerated Cost Recovery System) depreciation method. The MACRS depreciation for the first year is calculated using the half-year convention, which means that only half of the full-year depreciation is allowed in the first year.
The MACRS depreciation percentage for three-year personalty in the first year is 33.33%. So, the depreciation expense for Yancy's asset in 2017 would be $40,000 * 33.33% = $13,332.
Therefore, the cost recovery deduction for 2017 would be $13,332.