paper due by noon 9/22/2014
Probs 17-18-19
| Use the following information concerning Johnson Machine Tool Company in Problems 18.17, | ||||
| 18.18, and 18.19. | ||||
| Johnson’s income statement from the fiscal year that ended this past December is: | ||||
| Revenue | $ 995 | |||
| Cost of goods sold | $ 652 | |||
| Gross profit | $ 343 | |||
| Selling, general, and administrative expenses | $ 135 | |||
| Operating profit (EBIT) | $ 208 | |||
| Interest expense | $ 48 | |||
| Earnings before taxes | $ 160 | |||
| Taxes | $ 64 | |||
| Net income | $ 96 | |||
| All dollar values are in millions. Depreciation and amortization expenses last year were $42 million, | ||||
| and the company has $533 million of debt outstanding. | ||||
| 18.17 | Multiples analysis: You are an analyst at a private equity firm that buys private companies, improves | |||
| their operating performance, and sells them for a profit.Your boss has asked you to estimate | ||||
| the fair market value of the Johnson Machine Tool Company.Billy’s Tools is a public | ||||
| company with business operations that are virtually identical to those at Johnson.The | ||||
| most recent income statement for Billy’s Tools is as follows: | ||||
| Revenue | $ 1,764 | |||
| Cost of goods sold | $ 1,168 | |||
| Gross profit | $ 596 | |||
| Selling, general, & administrative expenses | $ 211 | |||
| Operating profit (EBIT) | $ 385 | |||
| Interest expense | $ 12 | |||
| Earnings before taxes | $ 373 | |||
| Taxes | $ 147 | |||
| Net income | $ 226 | |||
| All dollar values are in millions. Billy’s had depreciation and amortization expenses of | ||||
| $71 million last year and had 200 million shares and $600 million of debt outstanding as of the | ||||
| end of the year. Its stock is currently trading at $12.25 per share. | ||||
| Using the P/E multiple, what is the value of Johnson’s stock? What is the total value | ||||
| of Johnson Machine Tool Company? | ||||
| Billy Tools' depreciation and amortization expenses | $71 | million | ||
| Billy Tools' number of shares outstanding | 200 | million | ||
| Billy Tools' value of outstanding debt | $600 | million | ||
| Billy Tools' current stock price | $12.25 | per share | ||
| Johnson Machine Tools' depreciation and amortization expense | $42 | million | ||
| Johnson Machine Tools' value of outstanding debt | $533 | million | ||
| 18.17 | Billy Tools P/E ratio = | |||
| Johnson Machine Tools value of equity = Billy Tools' P/E ratio * JMT's Net Income | million | |||
| JMT's total value = Value of Equity + Value of Debt | million | |||
| 18.18 | Multiples analysis: Using the enterprise value/EBITDA multiple, what is the total value | |||
| of Johnson Machine Tool Company? What is the value of Johnson’s stock? | ||||
| 18.18 | Billy Tools' enterprise value = Billy Tools' equity value + Billy Tools' debt value | million | ||
| Billy Tools EBITDA = Billy Tools' EBIT + Depreciation and amortization expenses | million | |||
| Billy Tools' Enterprise value/EBITDA multiple = | times | |||
| Johnson's EBITDA = | million | |||
| Johnson's implied firm value = | million | |||
| Johnson's value of stock = Its Firm value - Its value of outstanding debt | million | |||
| 18.19 | Multiples analysis: Which of the above multiples analyses do you believe is more | |||
| appropriate? | ||||
| 18.19 | While the value estimates in the previous questions are reasonably similar, the enterprise value/EBITDA | |||
| multiple is more appropriate for this analysis. The reason is that the capital structures of Johnson and | ||||
| Billy’s differ considerably and the enterprise value/EBITDA multiple is less sensitive to differences in leverage. | ||||
| Billy Tools' debt ratio= | ||||
| Johnson's debt ratio = |
Prob 18.20
| 18.20 | Income approaches:You are using the FCFF approach to value a business.You have estimated | ||||
| that the FCFF for next year will be $123.65 million and that it will increase at a rate | |||||
| of 8 percent for each of the following four years. After that point, the FCFF will increase | |||||
| at a rate of 3 percent forever. If the WACC for this firm is 10 percent, and it has no NOA, what is it worth? | |||||
| Present Value of Firm = PV of the free cash flows during Years 1-5 + PV of the Terminal Value at the end of Year 5 | |||||
| Present Value of the 5-year growing annuity (PVAn): | |||||
| PVAn = [CF1/(WACC - g) ] x [1-{(1+g)/(1+WACC)}n] | |||||
| Present Value of the Terminal Value in Year 5 (PV(TV5): | |||||
| PV(TV5) = [CF1*(1+g1)4*(1+g2)]/[(WACC-g2)]*[1/(1+WACC)5] | |||||
| Next year's FCF = | $123,650,000 | ||||
| Growth rate of FCF in Years 1-5 (g1)= | 8% | ||||
| Number of years of 8% growth= | 5 | years | |||
| Growth rate in second phase (g2)= | 3% | per year, forever | |||
| WACC = | 10% | ||||
| PVAn | = | ||||
| PV(TV5) | = | ||||
| PVFirm | = |
Prob 18.21
| 18.21 | Valuing a private business: You want to estimate the value of a privately owned restaurant | ||||
| that is financed entirely with equity. Its most recent income statement is as follows: | |||||
| Revenue | $ 3,000,000 | ||||
| Cost of goods sold | $ 600,000 | ||||
| Gross profit | $ 2,400,000 | ||||
| Salaries and wages | $ 1,400,000 | ||||
| Selling expenses | $ 100,000 | ||||
| Operating profit (EBIT) | $ 900,000 | ||||
| Taxes | $ 315,000 | ||||
| Net income | $ 585,000 | ||||
| You note that the profitability of this restaurant is significantly lower than that of comparable | |||||
| restaurants, primarily due to high salary and wage expenses. Further investigation | |||||
| reveals that the annual salaries for the owner and his wife, the firm’s accountant, are | |||||
| $900,000 and $300,000, respectively. These salaries are much higher than the industry | |||||
| median salaries for these two positions of $100,000 and $50,000, respectively. | |||||
| Compensation for other employees ($200,000 in total) appears to be consistent with the | |||||
| market rates. The median P/E ratio of comparable restaurants with no debt is 10.What | |||||
| is the total value of this restaurant? | |||||
| Industry median | |||||
| Owner's annual salary | $ 900,000 | $ 100,000 | |||
| Owner's wife's salary | $ 300,000 | $ 50,000 | |||
| Median PE ratios (no-debt firms) | 10 | ||||
| The Income statement must be adjusted to reflect "realistic" salaries and wages | |||||
| Revenue | |||||
| Cost of Goods Sold | |||||
| Gross Profit | |||||
| Salaries and Wages | |||||
| Selling Expenses | |||||
| Operating Profit (EBIT) | |||||
| Taxes | |||||
| Net Income | |||||
| The Firm's value can then be estimated by multiplying the adjusted net income by the Industry median PE ratio | |||||
| Firm's total value = Net Income * Industry median PE ratio |
prob 18.23
| 18.23 | You plan to start a business that sells waterproof sun block with a unique formula that | ||||||
| reduces the damage of UVA radiation 30 percent more effectively than similar products | |||||||
| on the market. | |||||||
| You expect to invest $50,000 in plant and equipment to begin the business.The targeted | |||||||
| price of the sun block is $15 per bottle.You forecast that unit sales will total 1,500 | |||||||
| bottles in the first month and will increase by 20 percent in each of the following months | |||||||
| during the first year.You expect the cost of raw materials to be $3 per bottle. In addition, | |||||||
| monthly gross wages and payroll are expected to be $13,000, rent is expected to be | |||||||
| $3,000, and other expenses are expected to total $1,000. Advertising costs are estimated | |||||||
| to be $35,000 in the first month but to remain constant at $5,000 per month during the | |||||||
| following eleven months. | |||||||
| You have decided to finance the entire business at one time using your own savings. | |||||||
| Is an initial investment of $75,000 adequate to avoid a negative cash balance in any given | |||||||
| month? If not, how much more do you need to invest up front? How much do you need | |||||||
| to invest up front to keep a minimum cash balance of $5,000? What is the break-even | |||||||
| point of the business? | |||||||
| Initial investment for plant and equipment | $ 50,000 | ||||||
| Unit selling price | $ 15.00 | ||||||
| Unit sales in first month | 1500 | bottles | |||||
| Growth in sales after 1st month (for Year1) | 20% | per month | |||||
| Cost of raw materials per bottle | $ 3.00 | ||||||
| Monthly gross wages and payroll | $13,000 | ||||||
| Rent per month | 3000 | ||||||
| Other expense per month | 1000 | ||||||
| Advertising costs (1st month) | $35,000 | ||||||
| Monthly advertsing costs (Months 2-12) | $5,000 | ||||||
| Initial cash balance | $75,000 | ||||||
| Desired minimum monthly cash balance | $5,000 | ||||||
| Monthly Cash Budget | |||||||
| Month | 1 | 2 | 3 | 4 | |||
| Beginning Cash Balance | |||||||
| Cash Receipts | |||||||
| Cash Sales | |||||||
| Total Cash Available | |||||||
| Cash Payments | |||||||
| Operations | |||||||
| Raw Material | |||||||
| Gross Wages and Payroll | |||||||
| Advertising | |||||||
| Rent | |||||||
| Other Expenses | |||||||
| Operations Total | |||||||
| Financing and Investments | |||||||
| Capital Expenditures | |||||||
| Total Cash Payments | |||||||
| Ending Cash Balance | |||||||
| Answer: No, a beginning cash balance of $75,000 is not adequate to avoid a negative cash | |||||||
| balance even in the first three months. Since, there is a maximum shortfall of $9400 in Month 2 | You will need to invest an additional amount of $9400 | ||||||
| to avoid the shortfall in Month 2, i.e. $84,400. If a $5,000 desired minimum cash balance is | |||||||
| needed, the initial cash balance will have to be increased by that amount, i.e. to $89,400 | |||||||
| Break-even point calculation: | |||||||
| In Month 1 | Month 1 | Months 2-12 | |||||
| Total fixed costs = | |||||||
| Contribution margin = | |||||||
| Break-even sales = | bottles | ||||||
| Month 1 | Month 2 | Month 3 | Month 4 | Month 5 | Month 6 | ||
| Expected sales per month | |||||||
| Cumulative sales per month | |||||||
| Cumulative break-even |
Break-even sales=Fixed costs/(Price-Variable costs)
Prob 18.24
| 18.24 | For the previous question, assume that you do not have sufficient savings to cover the | ||||||||
| entire amount required to start your sun-block business. You are going to have to get | |||||||||
| external financing. A local banker whom you know has offered you a six-month loan of | |||||||||
| $20,000 at an APR of 12 percent.You will pay interest each month and repay the entire | |||||||||
| principal at the end of six months. | |||||||||
| Assume that instead of making a single up-front investment, you are going to | |||||||||
| finance the business by making monthly investments as cash is needed in the business. | |||||||||
| If the proceeds from the loan go directly into the business on the first day and | |||||||||
| are therefore available to pay for some of the capital expenditures, how much money do | |||||||||
| you need to pull out of your savings account every month to run the business and keep | |||||||||
| the cash balances positive? | |||||||||
| Bank loan = | $ 20,000 | Interest rate= | 12% | ||||||
| Monthly interest payment = | $ 200 | Loan paid off in Month | 6 | ||||||
| Monthly Cash Budget | |||||||||
| Month | 1 | 2 | 3 | 4 | 5 | 6 | |||
| Beginning Cash Balance | |||||||||
| Cash Receipts | |||||||||
| Investments by owner | |||||||||
| Cash Sales | |||||||||
| Total Cash Available | |||||||||
| Cash Payments | |||||||||
| Operations | |||||||||
| Raw Material | |||||||||
| Gross Wages and Payroll | |||||||||
| Advertising | |||||||||
| Rent | |||||||||
| Other Expenses | |||||||||
| Operations Total | |||||||||
| Financing and Investments | |||||||||
| Capital Expenditures | |||||||||
| Debt/Interest Payment | |||||||||
| Total Cash Payments | |||||||||
| Ending Cash Balance | |||||||||
| Answer: |