Question

A firm considers to buy a machine in 2020. The cost of that machine is $ 5 000 000. The firm uses 5 year straight line depreciation which allows it to write off $ 1 000 000 depreciation expense each year. The firm is subject to 20% corporate tax rate. The firm's revenue in 2021 is expected to be $ 6 000 000 if the investment is not done. The revenue will be $ 9 000 000 if the investment is done. The firm's total costs (including both COGS and General&Administrative Costs) will be $ 4 000 000 if the investment is not done. The total costs will be $ 5 500 000 if the investment is done. Also the following information is given for the year 2021
Without Investment With Investment
Inventories $ 300 000 $ 500 000
Acc. Receivables $ 200 000 $ 300 000
Acc. Payables $ 100 000 $ 150 000
Given the above information, calculate the free cash flow of that investment for the years 2020 and 2021.

Answer 1

Answer and Explanation:

The computation of the free cash flow of the investment for the year 2020 and 2021 is shown below:

Particulars                       Case 1                     Case 2

                              Without Investment      With Investment

Add: Earnings Before

Interest and

Tax × (1 - Tax Rate)          $2,000,000          $2,500,000

Add: Non Cash Expenses $0                     $1,000,000

less: Change in

(Current Assets

- Current Liabilities)    ($400,000)         ($650,000)

Less: Capital Expenditure $0                  ($5,000,000)

Free Cash Flows               $1,600,000 ($2,150,000)

Working notes:

1.

Particulars                          Without Investment With Investment

Revenue for the Year 2021     $6,000,000          $9,000,000

Less: Cost of Goods Sold     $4,000,000           $5,500,000

(-) Depreciation                      $0                                 $1,000,000

Earnings Before

Interest and Tax                         $2,000,000                $2,500,000

Tax Savings on Depreciation

(Depreciation × 20%)                  $0                               $200,000

2.

Current Assets               Without Investment          With Investment

Inventories                        $300,000                         $500,000

Accounts Receivable       $200,000                          $300,000

Total                                  $500,000                          $800,000

(Less: Current Liabilities)  

Accounts Payable               $100,000                       $150,000

Less: Change in

(Current Assets

- Current Liabilities)            $400,000                       $650,000