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You plan to enhance your company's technology infrastructure by investing $57,000 in a new software system. This software will be depreciated using the straight-line method over 8 years to a terminal book value of 4,000. Given your firm's marginal corporate tax rate of 29%, what is the value of the software's depreciation tax shield in the first year of operation?

Question

You plan to enhance your company's technology infrastructure by investing $57,000 in a new software system. This software will be depreciated using the straight-line method over 8 years to a terminal book value of 4,000. Given your firm's marginal corporate tax rate of 29%, what is the value of the software's depreciation tax shield in the first year of operation?

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Solution

To calculate the value of the software's depreciation tax shield in the first year of operation, we need to follow these steps:

  1. Calculate the annual depreciation: This is done by subtracting the terminal book value from the initial cost and then dividing by the number of years. In this case, it would be (57,00057,000 - 4,000) / 8 = $6,625.

  2. Calculate the depreciation tax shield: This is done by multiplying the annual depreciation by the tax rate. In this case, it would be 6,6250.29=6,625 * 0.29 = 1,921.25.

So, the value of the software's depreciation tax shield in the first year of operation is $1,921.25.

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