I have been assigned General Mills in a group project and I need help with the following 4 questions. All questions are focused around General Mills. Please show work.
Q1. Forecasting
• List of Specific Assumptions used in forecasts
• Forecasts for a 5 year time horizon
Need explanation for time and specific assumption used in forecast. Must be done on word doc. Need to show references.
Q2. Valuation
• Components of the WACC (with sources referenced)
• DCF Model – Optimistic, Pessimistic & Expected
• DAE Model – Optimistic, Pessimistic & Expected
• DAROE Model – Optimistic, Pessimistic & Expected
I will need a written explanation to why the company is Optimistic, Pessimistic & Expected for each of the models and the WACC analysis. Must be done on word doc. Need to show references.
Q3. Assessment of Solvency
• Calculation of Altman’s Z
• Estimate of Bond Rating based on ratios
• Actual Bond Rating (if applicable)
Will need explanation for each item. Must be done on the word doc. Need to show references.
Q4. Spreadsheets
• Buffet spreadsheet
Must substitute Nike with General Mills answer the questions highlighted in yellow. Instructions are in the first 3 spreadsheets and the fourth is the actual spreadsheet to complete.
FYI: year 1 is last year and year 8 is 8 years ago. Government bond is based on long term.
• Valuation spreadsheet (DCF&EVA)
This assignment has 2 parts. First Spreadsheet FCFF valuation, second spreadsheet feeds off the first spreadsheet, please check to make sure that second spreadsheet is reflecting the answers from the first spreadsheet.
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Finding Stocks
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Finding Stocks the Warren Buffett Way |
| by John Bajkowski |
| Like most successful stockpickers, Warren Buffett thinks that the efficient market theory is |
| absolute rubbish. Buffett has backed up his beliefs with a successful track record through |
| Berkshire Hathaway, his publicly traded holding company. |
| Maria Crawford Scott examined Warren Buffett’s approach in the January 1998 issue of the AAII |
Journal.
Table 1
below provides a summary of Buffett’s investment style. In this article, we
| develop a screen to identify promising businesses and then use valuation models to measure |
| the attractiveness of stocks passing the preliminary screen. |
| Buffett has never expounded extensively on his investment approach, although it can be |
| gleaned from his writings in the Berkshire Hathaway annual reports. Many books by outsiders |
| have attempted to explain Buffett’s investment approach. One recently published book that |
| discusses his approach in an interesting and methodical fashion is “Buffettology: The Previously |
| Unexplained Techniques That Have Made Warren Buffett the World’s Most Famous Investor,” by |
| Mary Buffett, a former daughter-in-law of Buffett’s, and David Clark, a family friend and |
| portfolio manager [published by Simon & Schuster, 800-223-2336; $27.00]. This book was used |
| as the basis for this article. |
| Monopolies vs. Commodities |
| Warren Buffett seeks first to identify an excellent business and then to acquire the firm if the |
| price is right. Buffett is a buy-and-hold investor who prefers to hold the stock of a good |
| company earning 15% year after year over jumping from investment to investment with the |
| hope of a quick 25% gain. Once a good company is identified and purchased at an attractive |
| price, it is held for the long-term until the business loses its attractiveness or until a more |
| attractive alternative investment becomes available. |
| Buffett seeks businesses whose product or service will be in constant and growing demand. In |
| his view, businesses can be divided into two basic types: |
| Commodity-based firms, selling products where price is the single most important factor |
| determining purchase. Buffett avoids commodity-based firms. They are characterized with high |
| levels of competition in which the low-cost producer wins because of the freedom to establish |
| prices. Management is key for the long-term success of these types of firms. |
| Consumer monopolies, selling products where there is no effective competitor, either due to a |
| patent or brand name or similar intangible that makes the product or service unique. |
| While Buffett is considered a value investor, he passes up the stocks of commodity-based firms |
| even if they can be purchased at a price below the intrinsic value of the firm. An enterprise |
| with poor inherent economics often remains that way. The stock of a mediocre business treads |
| water. |
| How do you spot a commodity-based company? Buffett looks for these characteristics: |
| The firm has low profit margins (net income divided by sales); |
| The firm has low return on equity (earnings per share divided by book value per share); |
| Absence of any brand-name loyalty for its products; |
| The presence of multiple producers; |
| The existence of substantial excess capacity; |
| Profits tend to be erratic; and |
| The firm’s profitability depends upon management’s ability to optimize the use of tangible assets. |
| Buffett seeks out consumer monopolies. These are companies that have managed to create a |
| product or service that is somehow unique and difficult to reproduce by competitors, either |
| due to brand-name loyalty, a particular niche that only a limited number companies can enter, |
| or an unregulated but legal monopoly such as a patent. |
| Consumer monopolies can be businesses that sell products or services. Buffett reveals three |
| types of monopolies: |
| Businesses that make products that wear out fast or are used up quickly and have brand-name |
| appeal that merchants must carry to attract customers. Nike is a good example of a firm with a |
| strong brand name demanded by customers. Any store selling athletic shoes must carry Nike |
| products to remain competitive. Other examples include leading newspapers, drug companies |
| with patents, and popular brand-name restaurants such as McDonald’s. |
| Communications firms that provide a repetitive service that manufacturers must use to |
| persuade the public to buy the manufacturer’s products. All businesses must advertise their |
| items, and many of the available media face little competition. These include worldwide |
| advertising agencies, magazine publishers, newspapers, and telecommunications networks. |
| Businesses that provide repetitive consumer services that people and businesses are in constant |
| need of. Examples include tax preparers, insurance companies, and investment firms. |
| Mary Buffett suggests going to your local 7-Eleven or White Hen Pantry to identify many of |
| these “must-have” products. These stores typically carry a very limited line of must-have |
| products such as Marlboro cigarettes and Wrigley’s gum. However, with the guidance of the |
| factors used to identify attractive companies, we can establish a basic screen to identify |
| potential investments worthy of further analysis. |
The rules used for our Buffett screen are identified and discussed in
Table 2
. AAII’s Stock
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| Investor Professional was used to perform the screen. Consumer monopolies typically have high |
| profit margins because of their unique niche; however, a simple screen for high margins may |
| highlight weak firms in industries with traditionally high margins, but low turnover levels. |
| Our first screening filters looked for firms with both gross operating and net profit margins |
| above the median for their industry. The operating margin concerns itself with the costs |
| directly associated with production of the goods and services, while the net margin takes all of |
| the company activities and actions into account. |
| Understand How It Works |
| As is common with successful investors, Buffett only invests in companies he can understand. |
| Individuals should try to invest in areas where they possess some specialized knowledge and |
| can more effectively judge a company, its industry, and its competitive environment. While it |
| is difficult to construct a quantitative filter, an investor should be able to identify areas of |
| interest. An investor should only consider analyzing those firms operating in areas that they can |
| clearly grasp. |
| Conservative Financing |
| Consumer monopolies tend to have strong cash flows, with little need for long-term debt. |
| Buffett does not object to the use of debt for a good purpose–for example, if a company uses |
| debt to finance the purchase of another consumer monopoly. However, he does object if the |
| added debt is used in a way that will produce mediocre results–such as expanding into a |
| commodity line of
| business. |
| Appropriate levels of debt vary from industry to industry, so it is best to construct a relative |
| filter against industry norms. We screened out firms that had higher levels of total liabilities to |
| total assets than their industry median. The ratio of total liabilities to total assets is more |
| encompassing than just looking at ratios based upon long-term debt such as the debt-equity |
| ratio. |
| Strong & Improving Earnings |
| Buffett invests only in a business whose future earnings are predictable to a high degree of |
| certainty. Companies with predictable earnings have good business economics and produce |
| cash that can be reinvested or paid out to shareholders. Earnings levels are critical in |
| valuation. As earnings increase, the stock price will eventually reflect this growth. |
| Buffett looks for strong long-term growth as well as an indication of an upward trend. In the |
| book, Mary Buffett looks at both the 10- and five-year growth rates. Stock Investor Professional |
| contains only seven years of data, so we examined the seven-year growth rate as the long-term |
| growth rate and the three-year growth rate for the intermediate-term growth rate. |
| For our screen, we first required that a company’s seven-year earnings growth rate be higher |
| than that of 75% of the stocks in the overall database. Stock Investor Professional includes |
| percentile ranks for growth rates, so we specified a percentile rank greater than 75. |
| It is best if the earnings also show an upward trend. Buffett compares the intermediate-term |
| growth rate to the long-term growth rate and looks for an expanding level. For our next filter, |
| we required that the three-year growth rate in earnings be greater than the seven-year growth |
| rate. This further reduced the number of passing companies to 213. Not surprisingly, the |
| companies passing the Buffett screen have very high growth rates–as a group, nearly three |
| times the median for the whole database. |
| Consumer monopolies should show both strong and consistent earnings. Wild swings in earnings |
| are characteristic of commodity businesses. A examination of year-by-year earnings should be |
| performed as part of the valuation. The earnings per share for Nike are displayed in the Buffett |
| valuation spreadsheet. Note that earnings per share growth has been strong and consistent with |
| only one year in which earnings did not increase from the previous period. |
| A screen requiring an increase in earnings for each of the last seven years would be too |
| stringent and not be in keeping with the Buffett philosophy. However, a filter requiring positive |
| earnings for each of the last seven years should help to eliminate some of the commodity- |
| based businesses with wild earnings swings. |
| A Consistent Focus |
| Companies that stray too far from their base of operation often end up in trouble. Peter Lynch |
| also avoided profitable companies diversifying into other areas. Lynch termed these |
| diworseifications. Quaker Oats’ purchase and subsequent sale of Snapple is a good example of |
| this common mistake. |
| Companies should expand into related areas that offer high return potential. Nike’s past |
| development of a line of athletic clothing to complement its athletic shoe business is an |
| example of a extension that makes sense. This factor is clearly a qualitative screen that cannot |
| be done with the computer. |
| Buyback of Shares |
| Buffett views share repurchases favorably since they cause per share earnings increases for |
| those who don’t sell, resulting in an increase in the stock’s market price. This is a difficult |
| variable to screen as most data services do not indicate this variable. You can screen for a |
| decreasing number of outstanding shares, but this factor is best analyzed during the valuation |
| process. |
| Investing Retained Earnings |
| A company should retain its earnings if its rate of return on its investment is higher than the |
| investor could earn on his own. Dividends should only be paid if they would be better employed |
| in other companies. If the earnings are properly reinvested in the company, earnings should |
| rise over time and stock price valuation will also rise to reflect the increasing value of the |
business.
| An important factor in the desire to reinvest earnings is that the earnings are not subject to |
| personal income taxes unless they are paid out in the form of dividends. The use of retained |
| earnings delays personal income taxes until the stock is sold. |
| Buffett examines management’s use of retained earnings, looking for management that have |
| proven it is able to employ retained earnings in the new moneymaking ventures, or for stock |
| buybacks when they offer a greater return. |
| Good Return on Equity |
| Buffett seeks companies with above average return on equity. Mary Buffett indicates that the |
| average return on equity over the last 30 years has been around
| 12%. |
| We created a custom field that averaged the return on equity for the last seven years to |
| provide a better indication of the normal profitability for the company. During the valuation |
| process, this average should be checked against more current figures to assure that the past is |
| still indicative of the future direction of the company. Our screen looks for average return on |
| equity of 12% or greater. |
| Inflation Adjustments |
| Consumer monopolies can typically adjust their prices quickly to inflation without significant |
| reductions in unit sales since there is little price competition to keep prices in check. This |
| factor is best applied through a qualitative examination of a company during the valuation |
| stage. |
| Reinvesting Capital |
| In Buffett’s view, the real value of consumer monopolies is in their intangibles–for instance, |
| brand-name loyalty, regulatory licenses, and patents. They do not have to rely heavily on |
| investments in land, plant, and equipment, and often produce products that are low tech. |
| Therefore they tend to have large free cash flows (operating cash flow less dividends and |
| capital expenditures) and low debt. Retained earnings must first go toward maintaining current |
| operations at competitive levels. This is a factor that is also best examined at the time of the |
| company valuation although a screen for relative levels of free cash flow might help to confirm |
| a company’s status. |
| The above basic questions help to indicate whether the company is potentially a consumer |
| monopoly and worthy of further analysis. However, stocks passing the screens |
| are not automatic buys. The next test revolves around the issue of value. |
| The
| Price |
is Right
| (Using the Spreadsheet) |
| The price that you pay for a stock determines the rate of return–the higher the initial price, |
| the lower the overall return. The lower the initial price paid, the higher the return. Buffett |
| first picks the business, and then lets the price of the company determine when to purchase |
| the firm. The goal is to buy an excellent business at a price that makes business sense. |
| Valuation equates a company’s stock price to a relative benchmark. A $500 dollar per share |
| stock may be cheap, while a $2 per share stock may be expensive. |
| Buffett uses a number of different methods to evaluate share price. Three techniques are |
| highlighted in the book with specific examples and are used in the buffet spreadsheet |
| template. |
| Buffett prefers to concentrate his investments in a few strong companies that are priced well. |
| He feels that diversification is performed by investors to protect themselves from their |
| stupidity. |
| Earnings Yield |
| Buffett treats earnings per share as the return on his investment, much like how a business |
| owner views these types of profits. Buffett likes to compute the earnings yield (earnings per |
| share divided by share price) because it presents a rate of return that can be compared quickly |
| to other investments. |
| Buffett goes as far as to view stocks as bonds with variable yields, and their yields equate to |
| the firm’s underlying earnings. The analysis is completely dependent upon the predictability |
| and stability of the earnings, which explains the emphasis on earnings strength within the |
| preliminary screens. |
| Nike has an earnings yield of
| 5.7% |
(cell C13, computed by dividing earnings per share of
| $2.77 |
| (cell C9) by the price
| $4
| 8.2 |
5
(cell C8)). Buffett likes to compare the company earnings yield to
| the long-term government bond yield. An earnings yield near the government bond yield is |
| considered attractive. With government bonds yielding around 6% currently (cell C17), Nike |
| compares very favorably. By paying $48 dollars per share for Nike, an investor gets an earnings |
| yield return equal to the interest yield on bonds. The bond interest is cash in hand but it is |
| static, while the earnings of Nike should grow over time and push the stock price up. |
| Historical Earnings Growth |
| Another approach Buffett uses is to project the annual compound rate of return based on |
| historical earnings per share increases. For example, earnings per share at Nike have increased |
| at a compound annual growth rate of
| 18.9% |
over the last seven years (cell B32). If earnings per
| share increase for the next 10 years at this same growth rate of 18.9%, earnings per share in |
| year 10 will be $
|
| 15.58 |
. [$2.77 x ((1 + 0.189)^10)]. (Note this value is found in cells B49 and
| E39) This estimated earnings per share figure can then be multiplied by the average price- |
| earnings ratio of
| 1
| 4.0 |
(cell H10) to provide an estimate of price [$15.58 x 14.0=$2
17.4 |
3]. (Note
| this value is found in cell E42) If dividends are paid, an estimate of the amount of dividends |
| paid over the 10-year period should also be added to the year 10 price [
| $217.43 |
+ $1
3.29 |
=
|
| $230.72 |
]. (Note this value is found in cell E43)
| Once this future price is estimated, projected rates of return can be determined over the 10- |
| year period based on the current selling price of the stock. Buffett requires a |
| return of at least 15%. For Nike, comparing the projected total gain of $230.72 to the current |
| price of $48.25 leads projected rate of return of
| 16.9% |
[($230.72/$48.25) ^
| (1/10) – 1]. (Note this value is found in cell E45) |
|
| Sustainable Growth |
| The third approach detailed in “Buffettology” is based upon the sustainable growth rate model. |
| Buffett uses the average rate of return on equity and average retention ratio (1 average payout |
| ratio) to calculate the sustainable growth rate [
| ROE |
x ( 1 – payout ratio)]. The sustainable
| growth rate is used to calculate the book value per share in year 10 [
|
|
| BVPS |
((1 + sustainable
| growth rate )^10)]. Earnings per share can be estimated in year 10 by multiplying the average |
| return on equity by the projected book value per share [ROE x BVPS]. To estimate the future |
| price, you multiply the earnings by the average price-earnings ratio [
|
|
|
| EPS |
x P/E]. If dividends
| are paid, they can be added to the projected price to compute the total gain. |
| For example, Nike’s sustainable growth rate is
| 19.2% |
[
| 22.8% |
x (1 –
0.15 |
9)].(Sustainable growth
| rate is found in cell H11) Thus, book value per share should grow at this rate to roughly $
| 65.94 |
| in 10 years [
|
| $11.38 |
x ((1 +
0.19 |
2)^10)]. (Note this value is found in cell B64) If return on equity
| remains 22.8% (cell H6) in the tenth year, earnings per share that year would be $
|
| 15.06 |
[ 0.228
| x $65.94]. (Note this value is found in cell E54) The estimated earnings per share can then be |
| multiplied by the average price-earnings ratio to project the price of
| $210.23 |
[$15.06 x 14.0].
| (Note this value is located in cell E56) Since dividends are paid, use an estimate of the amount |
| of dividends paid over the 10-year period to project the rate of return of
| 16.5% |
[(($210.23 +
| $
| 12.7 |
2)/ $48.25) ^ (1/10) – 1]. (Note this return estimate is found in cell E60)
| Conclusion |
| The Warren Buffett approach to investing makes use of “folly and discipline”: the discipline of |
| the investor to identify excellent businesses and wait for the folly of the market to buy these |
| businesses at attractive prices. Most investors have little trouble understanding Buffett’s |
| philosophy. The approach encompasses many widely held investment
| principles. |
Its successful
| implementation is dependent upon the dedication of the investor to learn and follow the |
principles.
| John Bajkowski is editor of Computerized Investing and senior financial analyst of AAII. |
| (c) Computerized Investing – January/February 1998, Volume XVII, No.1 |
Table 1
| Table 1. The Warren Buffett Approach |
| Philosophy and style |
| Investment in stocks based on their intrinsic value, where value is measured by the ability to |
| generate earnings and dividends over the years. Buffett targets successful businesses–those |
| with expanding intrinsic values, which he seeks to buy at a price that makes economic sense, |
| defined as earning an annual rate of return of at least 15% for at least five or 10 years. |
| Universe of stocks |
| No limitation on stock size, but analysis requires that the company has been in existence for a |
| considerable period of time. |
| Criteria for initial consideration |
| Consumer monopolies, selling products in which there is no effective competitor, either due to |
| a patent or brand name or similar intangible that makes the product unique. In addition, he |
| prefers companies that are in businesses that are relatively easy to understand and analyze, |
| and that have the ability to adjust their prices for inflation. |
| Other factors |
| A strong upward trend in earnings |
| Conservative financing |
| A consistently high return on shareholder’s equity |
| A high level of retained earnings |
|
|
| Low |
level of spending needed to maintain current operations
| Profitable use of retained earnings |
| Valuing a Stock |
| Buffett uses several approaches, including: |
| Determining firm’s initial rate of return and its value relative to government bonds: Earnings |
| per share for the year divided by the long-term government bond interest rate. The resulting |
| figure is the relative value-the price that would result in an initial return equal to the return |
| paid on government bonds. |
| Projecting an annual compounding rate of return based on historical earnings per share |
| increases:
|
| Current |
earnings per share figure and the average growth in earnings per share over
| the past 10 years are used to determine the earnings per share in year 10; this figure is then |
| multiplied by the average high and low price-earnings ratios for the stock over the past 10 |
| years to provide an estimated price range in year 10. If dividends are paid, an estimate of the |
| amount of dividends paid over the 10-year period should also be added to the year 10 prices |
| Stock monitoring and when to sell |
| Does not favor diversification; prefers investment in a small number of companies that an |
| investor can know and understand extensively. Favors holding for the long term as long as the |
| company remains “excellent”–it is consistently growing and has quality management that |
| operates for the benefit of shareholders. Sell if those circumstances change, or if an |
| alternative investment offers a better return. |
Table 2
| Table 2. Translating the Buffett Style Into Screening |
| Questions to determine the attractiveness of the business: |
| Consumer monopoly or commodity? |
| Buffett seeks out consumer monopolies selling products in which there is no effective |
| competitor, either due to a patent or brand name or similar intangible that makes the product |
| unique. Investors can seek these companies by identifying the manufacturers of products that |
| seem indispensable. Consumer monopolies typically have high profit margins because of their |
| unique niche; however, simple screens for high margins may simply highlight firms within |
| industries with traditionally high margins. For our screen, we looked for companies with |
| operating margins and net profit margins above their industry norms. Additional screens for |
| strong earnings and high return on equity will also help to identify consumer monopolies. |
| Follow-up examinations should include a detailed study of the firm’s position in the industry |
| and how it might change over time. |
| Do you understand how it works? |
| Buffett only invests in industries that he can grasp. While you cannot screen for this factor, you |
| should only further analyze the companies passing all screening criteria that operate in areas |
| you understand. |
| Is the company conservatively financed? |
| Buffett seeks out companies with conservative financing. Consumer monopolies tend to have |
| strong cash flows, with little need for long-term debt. We screened for companies with total |
| liabilities below the median for their respective industry. Alternative screens might look for |
| low debt to capitalization or to equity. |
| Are earnings strong and do they show an upward trend? |
| Buffett looks for companies with strong, consistent, and expanding earnings. We screened for |
| companies with seven-year earnings per share growth greater than 75% of all firms. To help |
| indicate that earnings growth is still strong, we also required that the three-year earnings |
| growth rate be higher than the seven-year growth rate. Buffett seeks out firms with consistent |
| earnings. Follow-up examinations should include careful examination of the year-by-year |
| earnings per share figures. As a simple screen to exclude companies with more volatile |
| earnings, we screened for companies with positive earnings for each of the last seven years and |
| latest 12 months. |
| Does the company stick with what it knows? |
| A company should invest capital only in those businesses within its area of expertise. This is a |
| difficult factor to screen for on a quantitative level. Before investing in a company, look at the |
| company’s past pattern of acquisitions and new directions. They should fit within the primary |
| range of operation for the firm. |
| Has the company been buying back its shares? |
| Buffett prefers that firms reinvest their earnings within the company, provided that profitable |
| opportunities exist. When companies have excess cash flow, Buffett favors shareholder- |
| enhancing maneuvers such as share buybacks. While we did not screen for this factor, a follow- |
| up examination of a company would reveal if it has a share buyback plan in place. |
| Have retained earnings been invested well? |
| Earnings should rise as the level of retained earnings increase from profitable operations. Other |
| screens for strong and consistent earnings and strong return on equity help to the capture this |
| factor. |
| Is the company’s return on equity above average? |
| Buffett considers it a positive sign when a company is able to earn above-average returns on |
| equity. Marry Buffett indicates that the average return on equity for over the last 30 years is |
| approximately 12%. We created a custom field that calculated the average return on equity |
| over the last seven years. We then filtered for companies with average return on equity above |
12%.
| Is the company free to adjust prices to inflation? |
| True consumer monopolies are able to adjust prices to inflation without the risk of losing |
| significant unit sales. This factor is best applied through a qualitative examination of the |
| companies and industries passing all the screens. |
| Does company need to constantly reinvest in capital? |
| Retained earnings must first go toward maintaining current operations at competitive levels, so |
| the lower the amount needed to maintain current operations, the better. This factor is best |
| applied through a qualitative examination of the company and its industry. However, a screen |
| for high relative levels of free cash flow may also help to capture this factor. |
buffett valuation
| Buffett Valuation Worksheet (January/February 1998, Computerized Investing, www.aaii.com) |
| Enter values into shaded cells |
| Date of Analysis: |
12/31/97 |
| Current Stock Data |
Seven
|
|
| Year |
Averages
| Company: |
Nike, Inc. |
Return on Equity: |
22.8%
| Ticker: |
NKE |
| Payout |
Ratio |
:
15.9% |
| Price: |
$48.25
| P/E Ratio |
–
| High |
:
18.4 |
| EPS: |
$2.77
P/E Ratio-Low: |
9.5 |
|
|
|
|
| DPS |
:
$0.48 |
P/E Ratio: |
14.0
| BVPS: |
$11.38 Sustainable Growth 19.2%
| P/E: |
17.4
(ROE * (1 – Payout Ratio)) |
| Earnings Yield: |
5.7%
| Dividend Yield: |
1.0% |
| P/BV: |
4.2 |
| Gv’t Bond Yield: |
6.0% |
| Historical Company Data |
Price P/E Ratio Payout
Year EPS DPS BVPS High Low High Low ROE Ratio
|
|
| Year 8 |
0.80 |
0.09 |
2.62 |
8.70 |
3.20 |
| 10.9 |
4.0
30.5% |
11.3% |
|
|
| Year 7 |
0.94 |
0.13 |
3.39 |
11.98 |
6.00 |
12.7
6.4 |
27.7% |
13.8% |
|
|
| Year 6 |
1.07 |
0.15
4.35 |
18.94 |
8.78 |
17.7 |
8.2
24.6% |
14.0% |
|
|
| Year 5 |
1.18 |
0.19
5.33 |
| 22.5 |
6
13.75 |
1
| 9.1 |
11.7 |
| 22.1% |
16.1% |
|
|
| Year 4 |
0.99 |
0.20 |
5.77 |
22.31 |
10.78 |
22.5 10.9
17.2% |
20.2% |
|
|
| Year 3 |
1.36 |
0.24 |
6.68 |
19.13 |
11.56 |
14.1 |
8.5 |
20.4% |
17.6% |
|
|
| Year 2 |
1.88 |
0.29 |
8.28 |
35.19 |
17.19 |
18.7 |
9.1
22.7% |
15.4% |
|
|
| Year 1 |
2.68 |
0.38 |
10.63 |
64.00 |
31.75 |
23.9 |
11.8 |
25.2% |
14.2% |
EPS DPS BVPS
| High Price |
Low Price |
| Annually Compounded Rates of Growth (7 year) |
[(Year 1 / Year 8) ^ (1/7)] – 1 |
18.9% 22.8% 22.1%
| 33.0% |
38.8% |
| Annually Compounded Rates of Growth (3 year) |
[(Year 1 / Year 4) ^ (1/3)] – 1 |
| 39.4% |
23.9% |
22.6% |
42.1% |
43.3% |
| Projected Company Data Using Historical Earnings Growth Rate |
Year EPS DPS
Current $2.77
| 0.44 |
15.58
Earnings after 10 years |
Year 1 3.29
| 0.52 |
13.29 |
| Sum of dividends paid over 10 years |
Year 2
| 3.91 |
0.62 |
Year 3
| 4.65 |
0.74 |
$217.43
| Projected price (Average P/E * EPS) |
Year 4
| 5.53 |
0.88 |
$230.72
| Total gain (Projected Price + Dividends) |
Year 5
| 6.57 |
1.05 |
Year 6
| 7.81 |
1.24 |
16.9%
Projected return using historical EPS growth rate |
Year 7
| 9.28 |
1.48 |
| [(Total Gain / Current Price) ^ (1/10)] – 1 |
Year 8
| 11.03 |
1.76 |
|
| Year 9 |
13.11 |
2.09 |
|
| Year 10 |
15.58
2.48 |
| Projected Company Data Using Sustainable Growth Rate |
Year BVPS EPS DPS
Current $11.38
| 2.60 |
0.41 |
15.06
Earnings after 10 years (BVPS * ROE) |
Year 1
| 13.57 |
3.10 |
0.49 |
12.72 |
Sum of dividends paid over 10 years
Year 2
| 16.17 |
3.69 |
0.59 |
Year 3
| 19.28 |
4.40 |
0.70 |
$210.23 Projected price (Average P/E * EPS)
Year 4
| 22.98 |
5.25 |
0.84 |
$222.96 |
Total gain (Projected Price + Dividends)
Year 5
| 27.39 |
6.26 |
1.00 |
Year 6
| 32.66 |
7.46 |
1.19 |
16.5%
Projected return using sustainable growth rate |
Year 7
| 38.93 |
8.89 |
1.42 |
[(Total Gain / Current Price) ^ (1/10)] – 1
Year 8
| 46.41 |
10.60 |
1.69 |
Year 9
| 55.32 |
12.64 |
2.01 |
Year 10 65.94 15.06
| 2.40 |
Using Average ROE
Using Average Dividend Payout Ratio
Sheet:FCFF Valuation
Sheet:
EVA
Valuation
INPUTS FOR VALUATION
Current Inputs
Enter the current revenues of the firm =
1240
6.0
Enter current capital invested in the firm =
2000
0.0
{ As a naïve estimate, you can use BV of debt + BV of Equity)
Enter the current depreciation =
23
3.0
Enter the current capital expenditures for the firm =
29
8.0
Enter the change in Working Capital in last year =
11
5.0
Enter the value of current debt outstanding =
0.0
Enter the number of shares outstanding =
1500.0
High Growth Period
Your Inputs
Enter the growth rate in revenues for the next 5 years =
0.25
What will all operating expenses be as a % of revenues in the fifth year?
0.7
(Operating expenses include depreciation: This is equal to (1-Pre-tax Operating Margin))
How much debt do you plan to use in financing investments?
0.0
Enter the growth rate in capital expenditures & depreciation
0.25
Enter working capital as a percent of revenues
0.075
Enter the tax rate that you have on corporate income
0.36
What beta do you want to use to calculate cost of equity =
1.25
Enter the current long term bond rate =
0.06
5
Enter the market risk premium you want to use =
0.05
5
Enter your cost of borrowing money =
0.085
Stable Period
Enter the growth rate in revenues =
0.06
Enter operating expenses as a % of revenues in stable period =
0.75
Enter capital expenditures as a percent of depreciation in this period
2.0
See capital expenditure worksheet (capex.xls) for details.
How much debt do you plan to use in financing investments?
0.05
Enter interest rate of debt in stable period =
0.075
What beta do you want to use in the stable period =
1.1
ESTIMATED CASHFLOWS
Base
Growth in Revenue
0.25
0.25
0.25
0.25
0.25
0.212
0.174
0.136
0.098
0.06
Growth in Deprec’n
0.25
0.25
0.25
0.25
0.25
0.212
0.174
0.136
0.098
0.06
Revenues
12406.0
15507.5
19384.375
24230.46875
30288.0859375
37860.107421875
45886.4501953125
53870.69252929687
61197.10671328125
67194.42317118282
71226.08856145378
Operating Expenses
% of Revenues
0.7
0.7
0.7
0.7
0.7
0.7
0.71
0.72
0.73
0.74
0.75
– $ Operating Expenses
8684.199999999999
10855.25
1356
9.0
625
16961.328125
21201.66015625
26502.0751953125
32579.379638671875
38786.89862109375
44673.887900695314
49723.87314667529
53419.566421090334
EBIT
3721.8
00000000001
4652.25
5815.3125
7269.140625
9086.42578125
11358.0322265625
1330
7.0
70556640625
15083.793908203123
16523.21881258594
17470.55002450753
17806.52214036345
Tax Rate
0.36
0.36
0.36
0.36
0.36
0.36
0.36
0.36
0.36
0.36
0.36
EBIT (1-t)
2381.9520000000007
2977.44
3721.8
4652.25
5815.3125
7269.140625
8516.52515625
9653.628101249999
10574.860040055002
11181.15201568482
11396.174169832608
+ Depreciation
233.0
291.25
36
4.0
625
455.078125
568.84765625
71
1.0
595703125
861.80419921875
1011.7581298828125
1149.357235546875
1261.9942446304688
1337.713899308297
– Capital Expenditures
298.0
372.5
465.625
582.03125
727.5390625
909.423828125
1262.6246222233187
1615.8254163216375
1969.0262104199564
2322.227004518275
2675.427798616594
– Change in WC
115.0
232.61249999999998
290.765625
363.45703125
454.3212890625
567.901611328125
601.9757080078125
598.818175048828
549.4810637988285
449.79873434261737
302.3749042703224
= FCFF
2201.9520000000007
2663.5775
3329.471875
4161.83984375
5202.2998046875
6502.874755859375
7513.729025237619
8450.742639762346
9205.710001383091
9671.120521454395
9756.085366253988
Terminal Value (in ’05)
167812.58398749254
COSTS OF EQUITY AND CAPITAL
1.0
2.0
3.0
4.0
5.0
6.0
7.0
8.0
9.0
10.0
Cost of Equity
0.13375
0.13375
0.13375
0.13375
0.13375
0.1321
0.13045
0.1288
0.12715
0.1255
Proportion of Equity
1.0
1.0
1.0
1.0
1.0
0.99
0.98
0.97
0.96
0.95
After-tax Cost of Debt
0.054400000000000004
0.054400000000000004
0.054400000000000004
0.054400000000000004
0.054400000000000004
0.05312
0.051840000000000004
0.05056
0.04928
0.048
Proportion of Debt
0.0
0.0
0.0
0.0
0.0
0.010000000000000009
0.020000000000000018
0.030000000000000027
0.040000000000000036
0.050000000000000044
Cost of Capital
0.13375
0.13375
0.13375
0.13375
0.13375
0.13131020000000002
0.12887780000000001
0.1264528
0.12403520000000001
0.121625
Cumulative
WACC
1.13375
1.2853890625000002
1.4573098496093753
1.6522250419946292
1.8732101413614108
2.119181739665606
2.392297220073882
2.6948099019844407
3.029061187139061
3.39747075402485
Present Value
2349.35170893054
2590.2444420402867
2855.8373120620577
3148.6629680948818
3471.5137465213693
3545.5802985652567
3532.480232327219
3416.0888286049662
3192.778198907477
52264.958909031935
FIRM VALUATION
Value of Firm
80367.496645086
– Value of Debt
0.0
Value of Equity
80367.496645086
Value of Equity per Share
53.57833109672399
Value of Firm by year
80367.496645086
88453.07182136623
96954.19830247399
105759.98248167988
114703.08033391708
123541.7425727191
132250.30447305375
140843.69012310874
149448.0591001251
158313.7584787665
$ Value of Debt
0.0
0.0
0.0
0.0
0.0
1235.417425727192
2645.0060894610774
4225.310703693266
5977.9223640050095
7915.6879239383325
Base
1.0
2.0
3.0
4.0
5.0
6.0
7.0
8.0
9.0
10.0
Terminal Year
EBIT (1-t)
2381.9520000000007
2977.44
3721.8
4652.25
5815.3125
7269.140625
8516.52515625
9653.628101249999
10574.860040055002
11181.15201568482
11396.174169832608
12079.944620022565
– WACC (CI)
2675.0
2716.979109375
2769.4529960937502
2835.0453544921875
2917.0358024902343
2964.443232060147
3038.767822353046
3133.697769006417
3243.6086661588956
3364.2378030482064
3524.0724796560758
EVA
302.44000000000005
1004.8208906250002
1882.7970039062498
2980.2671455078125
4352.104822509766
5552.081924189853
6614.860278896953
7441.162271048585
7937.543349525924
8031.936366784401
8555.87214036649
Terminal EVA
138837.68179093694
PV
266.76074972436606
781.725097824224
1291.9675279837875
1803.7900829235225
2323.3404124893027
2619.9177825427746
2765.066239843168
2761.293947142231
2620.463192763336
43229.10446947356
PV of EVA
60463.42950271027
+
Capital Invested
20000.0
+ PV of Chg Capital in Yr 10
-95.93285762427642
This reconciles the assumptions on stable growth,
ROC
and Capital Invested
= Firm Value
80367.496645086
WACC
0.13375
0.13375
0.13375
0.13375
0.13375
0.13131020000000002
0.12887780000000001
0.1264528
0.12403520000000001
0.121625
0.121625
ROC
0.148872
0.18321478743887334
0.22467918335413278
0.27435118300402606
0.3332998373772976
0.37724001913001687
0.4094219843172778
0.42672291977188725
0.427565890104183
0.4119981299033129
0.41691062624047676
Capital Invested
20000.0
20313.8625
20706.190625
21196.60078125
21809.6134765625
22575.879345703124
23578.675476715507
24781.56093820316
26150.710976875074
27660.7424711055
28974.90219655561
(Adjusted to reflect terminal ROC)
Calculation of Capital Invested
Initial
20000.0
20000.0
20313.8625
20706.190625
21196.60078125
21809.6134765625
22575.879345703124
23578.675476715507
24781.56093820316
26150.710976875074
27660.7424711055
+ Net Cap Ex
81.25
101.5625
126.953125
158.69140625
198.3642578125
400.82042300456874
604.067286438825
819.6689748730814
1060.2327598878062
1337.713899308297
+ Chg in WC
232.61249999999998
290.765625
363.45703125
454.3212890625
567.901611328125
601.9757080078125
598.818175048828
549.4810637988285
449.79873434261737
302.3749042703224
Ending
20000.0
20313.8625
20706.190625
21196.60078125
21809.6134765625
22575.879345703124
23578.675476715507
24781.56093820316
26150.710976875074
27660.7424711055
29300.83127468412
Cumulated WACC
1.13375
1.2853890625000002
1.4573098496093753
1.6522250419946292
1.8732101413614108
2.119181739665606
2.392297220073882
2.6948099019844407
3.029061187139061
3.39747075402485
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