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lulISSerle had the following balance sheet at beginning 2017: Restaurant buildin

ID: 2339967 • Letter: L

Question

lulISSerle had the following balance sheet at beginning 2017: Restaurant building Restaurant equipment, including furniture Food ingredients plus paper goods, etc. Cash 250,000 25,000 5,000 2,000 Owners' Equity Bank Loan 200,000 82,000 RR prepared and served 10,000 meals during 2017 for which it received an average of 30/meal. Its labor, intermediate goods, gas and electricity, rent cost 225,000. Ignore any depreciation for now. The interest rate on its loan is 7.5%. The cash on its balance sheet represents the average balance on its checki account, which pays 0 interest. Rutgers Rotisserie's tax rate is 22%. RR decided to pay out 60% of its after-tax profits as dividends. What are RR's before and after-tax profits for the year? Its ROE? Coverage ratio? Follow the cash and calculate the change in cash between the start and end of the year.

Explanation / Answer

1

Revenue

=10,000*30

         300,000

Total operating expenses

         225,000

Net operating profit

           75,000

Interest expense

=82,000*7.5%

             6,150

Net Profit Before Tax

           68,850

Income Tax

=68,850*22%

           15,147

Net profit after tax

           53,703

ROE = Net profit / Average Stockholders' Equity

=53,703/200,000

26.85%

Interest Coverage ratio = EBIT / Interest expense

=75,000/6.150

             12.20

Cash - beginning balance

    2,000

Add: Revenue

                 300,000

Less: Operating expenses

                 225,000

Less: Interest

                      6,150

Less: Income tax

                   15,147

Less: Dividends (53,703*60%)

             32,221.80

Cash Ending balance

                   23,481

Change in Cash

                   21,481

2. If all the profit after tax is retained:

If 2018 has the same net profit after tax, ROE will be = =53,703/253.703 = 21.96%

ROE has reduced since the company, despite having more resources (last year;s retained profits) has not yielded more profits

3. If Depreciation is considered, it reduces the profit after tax, thereby reducing the ROE as well. However interest coverage is not affected since Net operating profit before interest, depreciation and tax is considered for calculation

4. Purchase of new equipment does not affect Net profit (as we are not considering depreciation), ROE or interest coverage ratio. The only change will be in cash balance, which will go down to 13,481

Revised Balance Sheet as of 12/31/2017:

Note: Owners'equity is calculated as follows =Opening balance + Net profit after tax - Dividends = 200,000+53,703-32,221.80

6. When a sale is made on credit, it does not affect the profit, ROE, coverage ratio and retained earnings, if the entity follows accrual basis if accounting.

The only change will be cash balance, which will be short by (50*30) = $1,500. The new balance sheet is shown below. $1,500 is shown as a receivable.

1

Revenue

=10,000*30

         300,000

Total operating expenses

         225,000

Net operating profit

           75,000

Interest expense

=82,000*7.5%

             6,150

Net Profit Before Tax

           68,850

Income Tax

=68,850*22%

           15,147

Net profit after tax

           53,703

ROE = Net profit / Average Stockholders' Equity

=53,703/200,000

26.85%

Interest Coverage ratio = EBIT / Interest expense

=75,000/6.150

             12.20

Cash - beginning balance

    2,000

Add: Revenue

                 300,000

Less: Operating expenses

                 225,000

Less: Interest

                      6,150

Less: Income tax

                   15,147

Less: Dividends (53,703*60%)

             32,221.80

Cash Ending balance

                   23,481

Change in Cash

                   21,481