Math Problem Statement

A machine costs $227,000 and its depreciable life is 8 years. If a firm that pays a marginal tax rate of 24% plans to depreciate the machine straight-line over its useful life down to a salvage value of $30,000, what is each year's depreciation expense? Round your answer to the nearest dollar, and enter a positive value.

Solution

Solution:

The straight-line depreciation formula is:

Depreciation Expense per Year=Cost of AssetSalvage ValueUseful Life\text{Depreciation Expense per Year} = \frac{\text{Cost of Asset} - \text{Salvage Value}}{\text{Useful Life}}

Given:

  • Cost of the machine (CC) = $227,000
  • Salvage value (SS) = $30,000
  • Useful life (nn) = 8 years

Depreciation Expense per Year=227,00030,0008\text{Depreciation Expense per Year} = \frac{227,000 - 30,000}{8}

Calculation:

Depreciation Expense per Year=197,0008=24,625\text{Depreciation Expense per Year} = \frac{197,000}{8} = 24,625

Final Answer:

Each year's depreciation expense is $24,625.


Do you have any questions or want further explanation?

Here are 5 follow-up questions you might consider:

  1. How does straight-line depreciation compare to other methods like declining balance?
  2. How would the depreciation expense change if the salvage value were higher or lower?
  3. What is the impact of depreciation on the company's taxable income?
  4. How does the tax rate affect the after-tax savings from depreciation?
  5. What if the machine's useful life was estimated incorrectly? How would that change the calculation?

Tip: Always confirm asset salvage values and useful lives periodically, as changes may require adjusting depreciation schedules.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Depreciation
Straight-Line Depreciation
Basic Arithmetic

Formulas

Depreciation Expense per Year = (Cost of Asset - Salvage Value) / Useful Life

Theorems

-

Suitable Grade Level

Grades 10-12