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Monica [59]
3 years ago
12

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 depreciat

ion 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.
Business
1 answer:
Kryger [21]3 years ago
8 0

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

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Explanation:

According to the question, The computation of the quantity produce is shown below:

Here we use the differentiation LRAC to zero

\frac{\partial LRATC}{\partial Q}=-10+0.2Q=0\\\\ 0.2Q=10\\\\ Q=50

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The final balance is ₹9,730.2. The total compound interest is ₹6,730.2. If the deposit is  $3000 each year and 4% interest.

<h3>How to calculate compound interest ?</h3>

Compound interest is the addition of interest to the principal sum of a loan or deposit, or interest on interest plus interest.

The formula for annual compound interest is as follows:

FV = P (1+ r/m)^mt

FV - the future value of the investment, in our calculator it is the final balance

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number of years t = 30

Interest rate r = 4%

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The value of your investment after 30 years FV = ₹9,730.2

The profit will be FV - P = ₹9,730.2 - $3000 = $6,730.2

The final balance is ₹9,730.2.

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Dr Paid-in capital in excess of par

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Invariably, the paid-in capital declines by the difference the total of common stock and paid-in capital in excess of par ($2m+$16m) and the share repurchase,hence the it declines by $17 million

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