You are conducting a discounted cash flow analysis (DCF). You purchased an asset for $400,000 at time point zero. The asset was depreciating using straight line depreciation over a ten year schedule. When you initially placed the asset into service, you expected the asset to have a disposal / salvage value of $0. At the end of year seven the project is suddenly cancelled due to a change in technology and the asset is sold in the open market for $110,000. Prior to this transaction, the firm was forecasted to earn $1,000,000 profit after tax in year seven and the tax rate for the firm is 20%. What is the cash flow, in time period seven, as a result of this transaction

Respuesta :

Answer: $112000

Explanation:

First, we calculate the book value in year 7 which will be:

= Depreciation × Balance life

= $400,000 × 3/10

= $120,000

Then, the cash flow as a result of the transaction will be:

= Asset sale - (Asset - Book value) × Tax rate

= 110000 - [(110000 - 120000) × 20%]

= 110000 - (-2000)

= 110000 + 2000

= 112000

Cash flow is the determination of inflow and outflow of cash due to business or non-business activities. The cash flow for a particular year is determined by preparing the cash flow statement. There are two methods for cash flow statements those are: direct and indirect methods.

The cash flow for the transaction is $112,000

Computation:

The cash flow in the time period of seven years is determined as follows:

[tex]\begin{aligned}\text{Cash Flow}&=\text{Sale Value of Asset}-[\left(\text{Asset-Book Value}\right)\times\text{Tax Rate}]\\&=\$110,000-[\left(\$110,000-\$120,000 \right )\times20\%]\\&=\$110,000-\left(-\$2,000 \right )\\&=\$112,000 \end{aligned}[/tex]

Working  Note:

The calculation of the book value of the asset at the 7th year:

[tex]\begin{aligned}\text{Book Value}&=\text{Depreciation}\times\dfrac{\text{Remaining Life of Asset}}{\text{Estimate Useful Life of the Asset}}\\&=\$400,000\times\dfrac{3}{10}\\&=\$120,000\end{aligned}[/tex]

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