Introductory Corporate Finance: Cash Flow Estimation - Depreciation MACRS, StraightLine Tax Shield Depreciation Tax Rate

What This Is

Depreciation is a non-cash expense that represents the decrease in value of a company's assets over time. It's a crucial concept in corporate finance as it affects a company's taxable income and, subsequently, its cash flows. For instance, if Tesla purchases a manufacturing facility for $100 million, it can depreciate the asset over its useful life of 10 years, reducing its taxable income by $10 million each year.

Key Formulas & Models

• MACRS Depreciation = (Cost - Residual Value) / Useful Life: MACRS (Modified Accelerated Cost Recovery System) is a method of depreciation used in the US, where the asset's cost is divided by its useful life to determine the annual depreciation expense.
• Straight-Line Depreciation = (Cost - Residual Value) / Useful Life: This method calculates depreciation as a constant amount each year, assuming the asset loses value at a constant rate.
• Tax Shield = Depreciation × Tax Rate: The tax shield represents the reduction in taxes due to depreciation, calculated by multiplying the depreciation expense by the company's tax rate.
• Depreciation Expense = (Cost - Residual Value) × Depreciation Rate: The depreciation rate is a fraction of the asset's cost that is depreciated each year.
• Useful Life = (Cost - Residual Value) / Depreciation Expense: The useful life of an asset is the number of years it takes for the asset to be fully depreciated.
• Residual Value = Asset's Value at End of Useful Life: The residual value represents the asset's value at the end of its useful life, which is subtracted from the asset's cost to determine the depreciation expense.
• Depreciation Rate = 1 / Useful Life: The depreciation rate is a fraction of the asset's cost that is depreciated each year.

Step-by-Step Calculation

1. Determine the asset's cost and residual value.
2. Calculate the useful life of the asset.
3. Choose a depreciation method (MACRS or Straight-Line).
4. Calculate the annual depreciation expense using the chosen method.
5. Calculate the tax shield by multiplying the depreciation expense by the company's tax rate.
6. Subtract the depreciation expense from the asset's cost to determine the asset's book value.

Common Mistakes

• Mistake: Using the asset's book value instead of its cost for depreciation calculations.
• Correction: Use the asset's cost for depreciation calculations, as it represents the asset's original value.
• Counterexample: If an asset costs $100,000 and has a book value of $80,000, using the book value would result in an incorrect depreciation expense.
• Mistake: Ignoring the residual value when calculating depreciation.
• Correction: Include the residual value in depreciation calculations to ensure accurate asset valuation.
• Counterexample: If an asset costs $100,000 and has a residual value of $20,000, ignoring the residual value would result in an incorrect depreciation expense.

Exam / CFA Tips

• Tip: Be aware of the differences between MACRS and Straight-Line depreciation methods.
• Tip: Understand the concept of tax shields and how they affect a company's cash flows.
• Tip: Be prepared to calculate depreciation expenses and tax shields in exam questions.

Quick Practice Problem

A company has EBIT of $10 million, interest of $2 million, and a tax rate of 25%. Calculate the debt-free income (DFL).

Answer: $8.75 million Explanation: DFL = EBIT - Interest = $10 million - $2 million = $8 million; then, DFL = $8 million × (1 - 0.25) = $6 million.

Last-Minute Cram Sheet

• Depreciation is a non-cash expense.
• Depreciation = (Cost - Residual Value) / Useful Life.
• Tax Shield = Depreciation × Tax Rate.
• MACRS and Straight-Line are two common depreciation methods.
• Residual value is the asset's value at the end of its useful life.
• Depreciation rate = 1 / Useful Life.
• Ignore the residual value when calculating depreciation.
• Use the asset's cost for depreciation calculations.
• Understand the concept of tax shields and their impact on cash flows.
• Be prepared to calculate depreciation expenses and tax shields in exam questions.