The most recent financial statements for Kerch, Inc., are shown here (assuming no income taxes): Income Statement Balance Sheet Sales $ 8,400 Assets $ 14,000 Debt $ 6,000 Costs 6,390 Equity 8,000 Net income $ 2,010 Total $ 14,000 Total $ 14,000 Assets and costs are proportional to sales. Debt and equity are not. No dividends are paid. Next year’s sales are projected to be $9,996. What is the external financing needed? (Do not round intermed

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Answer: $268.10

Explanation:

Assets and Costs are proportional to sales meaning they grow at the same rate.

Sales rate of growth is,

= (9,996-8,400)/8400

=19%

Assuming that costs grew by 19% then Costs next year will be ,

= 6,390 * (1 + 0.19)

= $7,604.1

Meaning that Net Income is,

= Sales - Costs.

= 9,996 - 7,604.1

= $2,391.9

Retained earnings or net income is added to Equity

Total Equity= 8,000 + 2391.9

Total Equity =$10,391.90

Total Assets also grew by 19% as per the question so,

= 14,000* (1 + 0.19)

=$16,660

Going by the Accounting Equation,

Total assets = Total equity + Total debt

Hence external financing needed

16,660 = 10391.9 + 6000 + Additional funding

Additional funding = 16,660 - 10391.9 - 6,000

Additional funding = $268.10

The external financing needed Additional funding is $268.10

Calculation of Assets and Costs

The Assets and also Costs are proportional to sales meaning they grow at the same rate.

Then the Sales rate of growth is,

After that = (9,996-8,400)/8400

Then it is =19%

Now we are Assuming that costs grew by 19% then Costs next year will be ,

Then = 6,390 * (1 + 0.19)

After that = $7,604.1

Then Meaning that Net Income is,

Then = Sales - Costs.

After that = 9,996 - 7,604.1

Now = $2,391.9

Then we Retained earnings or net income is added to Equity

The Total Equity is = 8,000 + 2391.9

The Total Equity is =$10,391.90

The Total Assets also grew by 19% as per the question so,

That is = 14,000* (1 + 0.19)

Now =$16,660

Now we Going to the Accounting Equation,

Formula of Total assets is = Total equity + Total debt

Hence proof that external financing needed

16,660 is = 10391.9 + 6000 + Additional funding

Then Additional funding is = 16,660 - 10391.9 - 6,000

Therefore, Additional funding is = $268.10

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