Warren Buffett On Investing Today
Friday, October 17th, 2008If you have not seen this - it is a must read.
Warren Buffett in an Op-Ed in the New York Times - valuation of US stocks today
Amazing.
If you have not seen this - it is a must read.
Warren Buffett in an Op-Ed in the New York Times - valuation of US stocks today
Amazing.
It has been a week of financial market turmoil. The Dow is closed at 8,451 on Friday – over 40% below the 52-week high of 14,279 and down 18% for last week alone. There are a lot of very smart people concerned that the markets and broader global economy are headed for a long-term slump. Within this turmoil there is a lot of discussion about valuation. Here at Valuecruncher we wanted to explain our take on valuation and the analysis we provide.
Here at Valuecruncher we believe that in the long-run markets are broadly efficient – market prices properly reflect the intrinsic value of assets. By intrinsic value we mean a ‘true’ underlying value. However, in the short-term there can be and are inefficiencies. At Valuecruncher, valuation is an attempt to estimate what this intrinsic value is and how it relates to current market prices. At Valuecruncher we do that by calculating a discounted cash flow (DCF) valuation. As we noted, in the longer-term we believe that markets will price assets at this intrinsic value. In the shorter term market prices may differ (either up or down). Our approach is a longer term approach. If someone is looking for a valuation of where a stock will be this week – a DCF isn’t the way to go. However, if you want to understand the underlying value of a stock relative the market price and have a longer-term view – that is where a DCF adds value.
For example: Apple ($AAPL). On 4 June 2008 with the $AAPL share price at US$186.10 our estimate of the $AAPL intrinsic value was US$146.70. By 23 September 2008 with the $AAPL share price at US$131.05 our estimate of the $AAPL intrinsic value was US$163.98. $AAPL closed on Friday at US$96.80. In just over four months the market price of $AAPL has dropped 48% – dramatic times indeed. Our estimate of intrinsic value has changed based on changing assumptions of the underlying business. But what we are trying to estimate is the intrinsic value – and we have argued it is both below and above the prevailing share price of $AAPL over the last four months.
At Valuecruncher we will continue to put out our take on the intrinsic value of companies like $AAPL and how this relates to the current share price. Our on-line interactive valuation models allow anyone to change our assumptions and calculate their own intrinsic value. In our own analysis we are going to try and avoid rhetoric like “buy”, “sell”, “cheap” and “expensive”. Ours is a longer-term analysis. We still believe that in the long-run that market prices and intrinsic value will eventually converge.
Understanding intrinsic value helps us to understand corporate transactions like share buy-backs. It can illuminate mergers and acquisitions activity. It can even expose opportunities to invest (and dispose) of stocks.
After a wild week we expect there are still some brave souls out there trying at assess value.
Continuing on from our look at the terminal growth rate we now turn our attention to the discount rate assumption. The discount rate is one of the key assumptions in the Valuecruncher valuation.
Deciphering the discount rate
Before addressing the technical definition of the Valuecruncher discount rate it is important to understand what the discount rate is designed to capture. The discount rate reflects the required rate of return on the investment. The discount rate consists of two key components, the time value of money and risk.
Time Value of Money
The time value of money assumes that all other things being equal you would prefer have a $1 today as opposed to waiting until tomorrow, next year or retirement. To sacrifice the opportunity to use that $1 today an incentive is required. The time value of money is reflected in the risk free rate component of the discount rate.
Risk
When considering risk in a financial context NYU Professor Aswath Damodaran cites the Chinese symbol for risk which is a combination of the characters for danger (crisis) and opportunity.
This approach recognises that risk represents more than just downside outcomes. Drawing on Damodaran again:
“…risk in finance is defined in terms of variability of actual returns on an
investment around an expected return, even when those returns represent positive outcomes.”
Valuecruncher’s valuation considers the risk associated with the company’s forecast free cash flow.
Games of chance such as roulette have a discrete number of potential outcomes with explicitly defined returns and probabilities. The expected return, variability and therefore risk can be established relatively easily.
The risk associated with a company is the function of countless potential outcomes that reflect a multitude of company specific and macro factors.
Examples of risks associated with Apple’s future cash flows:
The impact and likelihood of these factors are not directly observable like the outcomes of the roulette wheel but all contribute to Apple Inc’s discount rate. This makes the process of identifying and quantifying risk one of the major challenges of the valuation process.
A technical definition of the Valuecruncher discount rate
The discount rate used in the Valuecruncher valuation is the nominal post-tax weighted average cost of capital (WACC). The weighted average cost of capital is a combination of the required rate of return of the company’s equity holders (shares/stocks) and debt holders (bonds/loans).
Valuecruncher applies the discount rate to the company’s forecast nominal post-tax free cash flow (FCF). The free cash flow is calculated as a function of Valuecruncher inputs revenue, profitability, capital expenditure, depreciation and tax.
Wake up!! That was meant to be the boring part
Calculating, estimating or guessing the discount rate for companies
As stated the discount rate reflects the required rate of return on both debt and equity. The debt component of the discount rate is relatively easy to estimate based on the lending terms the company enjoys i.e. what interest rate (coupon rate) does the company pay. The required rate of return of the equity component is a more difficult proposition.
Practitioners often draw on mathematical approaches such as the capital asset prising model (CAPM) and arbitrage pricing theory (APT) to estimate the required rate of return on equity. These like all approaches have their pro’s and con’s. Despite the mathematical fire power inherent in these models a subjective assessment must be made before they are incorporated into the discount rate. This subjective component relates to the relationship between the discount rate and the company’s forecast free cash flows. A discount rate calculated based on historic returns, alternative forecasts or expectations may not be consistent with the forecast free cash flow. Examples of this issue include when companies are shifting their focus (e.g. IBM’s restructuring) or the industry is in the process of dramatic change (e.g. newspapers).
There are extensive resources available online on calculating the discount rate:
The terminal value is a key component of any valuation. A significant portion of a company’s future cash flows will be generated beyond the Valuecruncher 3-year forecast period. The value of these cash flows is recognised in the terminal value calculation.
Valuecruncher uses a perpetuity (the company continues to generate cash flows forever) approach to calculate the terminal value that incorporates the discount rate, year 3 free cash flow and a terminal growth rate.
The terminal growth rate is an approximation that reflects the ongoing growth potential of the company’s cash flows. The company’s growth rate will fluctuate with economic and industry cycles with the terminal growth rate representing an average growth rate.
Key terminal growth considerations
When determining the terminal growth rate it is important to ensure the assumption is consistent with the terminal capital expenditure estimate, e.g. How much capital expenditure is required to support Apple’s forecast 5.75% terminal growth rate?
The argument is often made that a company’s stable growth rate cannot exceed that of the economy. This constraint does not apply to the Valuecruncher terminal growth rate. The Valuecruncher terminal growth rate reflects a combination of the intermediate growth potential beyond year 3 and the company’s stable long-term growth rate.
The table below shows an implied terminal growth rate assuming the company’s year 3 growth rate converges to a stable growth rate by year 10.
Critics of the discounted cash flow methodology often cite the sensitivity of the valuation to subjective assumptions such as the the terminal growth rate as a weakness. Any methodology that recognises that valuation is a function of the company’s future cash flows should be sensitive to the company’s terminal growth rate. It is important to understand the growth implied by the valuation. Valuecruncher allows you to easily understand and quantify a valuation’s sensitivity to the company’s terminal growth rate.
If you have any questions on how to implement the Valuecruncher terminal growth rate don’t hesitate to contact us.
This Newsletter continues Valuecruncher’s series on the valuation of early stage companies. We have previously covered alternative methods for valuing an early stage company (here and here) and now look at how that valuation is distributed across different equity instruments. Early stage companies generally have a number of different equity instruments in their capitalisation tables. Typically Founders will have common stock, employees will hold stock options and Investors (Venture Capitalists) will hold preferred stock. Each of these instruments represents different claims on the company’s equity.
Part 1 of the analysis of the liquidation preferences outlines common preference terms in early stage term sheets and looks at their payoff profiles. An interactive Excel workbook that allows users to consider the payoff profiles of different liquidation preferences accompanies this analysis.
Valuecruncher Newsletter - Liquidation Preferences
Excel Workbook: Valuecruncher Preference Stock Payoff Tool *
*This workbook uses Macros. If Excel’s macro security is set to High the functionality will be limited. To utilise the full functionality of this workbook:
1. On the Tools menu, click Options.
2. Click the Security tab.
3. Under Macro Security, click Macro Security.
4. Click the Security Level tab, and then select the Medium security.
5. Excel must be restarted before these changes to take effect.
6. When opening the workbook select enable macros.
Related Reading:
Ask the Wizard
Feld Thoughts
A VC
Startup Conversations
This Newsletter is a follow-up to the 30 March 2007 Newsletter Early Stage Valuations – A Venture Capital Approach. Since then we have extended our framework for the valuation of high-growth/pre-revenue companies. The Valuecruncher valuation report for early stage companies incorporates the Venture Capital (VC) approach and a detailed discounted cash flow (DCF) based scenario analysis. This Newsletter focuses on the appropriate DCF framework to use for early stage companies. Read more…
Valuecruncher Early Stage Valuation Report (Example) - Click Here
Over the last couple of months Valuecruncher has received a number of queries asking how to value early stage companies. The majority of these early stage valuations have been for the purpose of capital raising. Valuecruncher’s March Newsletter provides an outline of how venture capital (VC) investors approach valuation.
Typical valuation methodologies have limited or no use when attempting to value early stage companies.
The uncertainty surrounding the financial projections of early stage companies limits the effectiveness of DCF valuations. Using a scenario analysis can provide an idea of value across a series of potential outcomes but the subjective nature of the scenario construction and relative probability of each scenario make it difficult to make an investment based on these outputs.
The absence of publicly available information and the loss making nature of early stage companies voids the use of comparable company analysis.
Asset based valuation methodologies such as net tangible assets typically do not capture the value of the growth potential of early stage companies.
Valuecruncher has constructed a new valuation report that uses DCF scenario analysis to provide three alternative scenario based valuations reflecting a range of potential outcomes for the company. These scenarios are designed to highlight the value impact of not achieving projected targets. The new report template complements the DCF valuation with a VC valuation. The VC approach assumes that the investor requires a 10 x return on investment over 3-5 years. Valuecruncher estimates the value of the company at the 3-5 year horizon using the financial projections of the client and market data of comparable established companies. Working backwards from this estimated exit value Valuecruncher estimates a valuation today based on the VC investors required return.
The VC approach is designed to give a robust indication of the post-money valuation VC investors will place on early stage companies. It is important to note that the VC valuation represents a post-money valuation (value after any required capital has been raised), this valuation will generally be lower than the DCF base case but should fall within the range defined by the scenario analysis.
This new Valuecruncher valuation report uses the standard Valuecruncher Input Sheet.
Valuecruncher Early Stage Valuation Report (Example) - Click Here
Valuecruncher Valuation Reports include three approaches to valuation: economic (DCF), comparable and accounting (NTA). This newsletter discusses the role comparable company analysis plays in valuation.
Where DCF (discounted cash flows) and NTA (net tangible assets) focus on the specific characteristics of the company being valued comparable company analysis uses a relative approach. This relative approach values the company based on the market valuation of similar companies.
Comparable company valuation uses the valuation ratio of a publicly traded company or from the sale of a company and applies that ratio to the company being valued. The valuation ratio typically expresses the valuation as a function of a measure of financial performance (e.g. revenue, EBITDA or EBIT), occasionally operating metrics such as number of employees, customers or register users will be used in valuation ratios. The valuation figure used generally reflects the enterprise value (EV) or the value of the equity in the business; the equity value is usually represented by the share price.
Click here for a full pdf version of the Valuecruncher Newsletter.
Yesterday Tourism Holdings Limited (THL) released an independent advisor’s valuation report to the market relating to the recent takeover offer made by MFS Living and Leisure Limited (MPY) of $2.80 per share. The independent valuation report placed a valuation range of $2.67 to $3.07 with a mid-point of $2.87 per share. This valuation is higher than the recent Valuecruncher valuation and the majority of the analyst valuations prior to the takeover offer. The independent advisors discounted cash flow (dcf) valuation was based on management’s financial projections, these projections were higher than the consensus estimates of analysts so it is understandable that the valuation would be higher. The independent advisors (Ferrier Hodgson) make an interesting comment on section 2.3 of the valuation report:
“MPY’s offer of $2.80 reflects a 2.5% discount to our base case valuation. We suspect many investors would apply a discount larger than 2.5% to our base case valuation to factor in the risk that THL will not achieve it’s forecasts, or that there may be some shock event in the tourism market.”
To put this comment in context lets revisit Valuation 101, dcf valuation methodology uses expected future cash flows discounted at a rate that reflects the risk associated with these cash flows. The majority of the time the people best placed to estimate a company’s future cash flows are the management. Making long-term financial projections is difficult in any industry and particularly in the tourism sector where so many key factors are outside the control of management, this is why it is important to remember the projections should reflect the best estimate at the time. Any risk that THL will not achieve it’s projected targets should be reflected in the discount rate. The impact of “shock events” should be handled with scenario analysis, this is often a difficult and subjective task as “shock events” by definition are difficult to quantify. Ferrier Hodgson should have incorporated the risk associated with THL not achieving its projections into the discount rate they used to arrive at their valuation of $2.87 per share.
There is a range of valuations for THL in the public domain with a summary included in Table 7.9 of the Ferrier Hodgson report. THL investors will have to consider the merits of MPY’s offer based on their expectations of THL’s performance and the risk associated with these expectations. The Ferrier Hodgson report provides the management projections, industry overview and THL valuation required to make this decision.
Often at first glance the process of valuing your business can appear time consuming and intimidating. At Valuecruncher we have streamlined the process to the point where all that is required is a 1 page Excel worksheet and Valuecruncher will provide you with a 5 page valuation report within 48 hours. This post outlines the 5 steps involved in the Valuecruncher valuation process.
1. Collect the relevant information
The starting point for Valuecruncher valuing a business is the latest financial statements. The business’ accountant should be able to provide you with a copy of these.
Financial statements include:
1. Profit & Loss Statement
2. Statement of Cash Flows
3. Balance Sheet
Some accounting jurisdictions don’t require a Statement of Cash Flows – that isn’t a problem. The profit and loss statement and balance sheet are the key starting point for completing the input sheet for a Valuecruncher valuation. The only component we require from the Statement of Cash Flows is the capital expenditure for the business. If there are any questions about the relevant information required – please don’t hesitate to contact the Valuecruncher team (http://www.valuecruncher.com/contact/).
2. Input relevant information into the Valuecruncher 1-page input sheet
Profit and Loss Statement
We start with the Profit and Loss Statement. We are interested in four inputs from the Profit and Loss Statement and information on capital expenditure: revenues, profitability, depreciation and amortisation charges, and capital expenditure.
Compiling the Valuecruncher valuation input sheet: Profit and Loss Statement items - Example
Cash Flow Statement
The Cash Flow Statement provides the information required to compile the capital expenditure inputs.
Compiling the Valuecruncher valuation input sheet: Cash Flow Statement items - Example
Projections
The next step is then projecting forward key numbers – revenues, EBIT, depreciation and capital expenditure. Valuation is a forward-looking exercise, even if the business mature and stable it is still important to compile projections. Valuation is based on future performance of the business. This may be the same as the current performance but it can also be materially, or slightly, different – either better or worse. For a Valuecruncher valuation the Profit and Loss Statement projections are the key input. The key projections required for valuation purposes are revenues, profitability, depreciation and capital expenditure.
Each business is different and has different expectations of future performance. If the business is stable and not expecting to grow significantly then making projections is reasonably straightforward. When the business is going through significant growth or the market the business operates in is uncertain – then the process is slightly more difficult. It is however a good process for a business to look at what financial results it expects over coming years. Making financial projections is subjective exercise that reflects the best estimate of an uncertain future. Don’t be intimidated by the uncertainty involved in compiling projections, they are only meant to represent the best estimate. Valuecruncher valuation reports provides sensitivity analysis that illustrates how alternative projections impact on the business valuation.
At Valuecruncher we often see a reasonably high-level approach taken to valuation – which is just fine. It is typical for a business owner to say something like “we expect revenues to grow at 10% per annum over each of the next three years with profitability (at the EBIT level) margin (as a percentage) remaining the same as it is today. We expect depreciation and amortisation to remain about where they are today. We will be spending an additional $50,000 in capital expenditure next year but then expect capital expenditure to remain at the current level”. With information even at that simplified level – the Valuecruncher input sheet can be completed. If a business has detailed financial projections then these should be utilised. Most businesses do not however have detailed projections. High-level assumptions are all that is required for completing the Valuecruncher input sheet.
Some more tips for making projections
Revenue projections – a simplified approach to revenue projections involves estimating the short-term (next 3 years) revenue growth as a percentage. The estimated percentage growth can be based on historic growth rates or incorporate any expansion plans the business has. Valuecruncher can assist to covert projected growth rates into actual revenue figures if required.
Profitability projections – the best starting point for projecting profitability is the current levels. If the business is planning to introduce new technology or has recently increased production capacity it is possible that profitability will increase in the future – but there is usually an increase in costs associated with additional profitability. If a business has an owner that works in the business at a below market salary – this should be adjusted to market levels.
Businesses run at break-even – Valuecruncher often sees businesses that are run at break-even. Our approach to valuation with these companies is to look what the level of profitability that companies in the industry typically operate at. Then we will extrapolate that industry average profit performance to the business’ sales. This approach provides a reasonable assessment of the value of the business even when the business is operating at break-even. We have a table of average industry EBIT margins (click here). If you are unsure or have questions about the appropriate EBIT margin to potentially use Valuecruncher is happy provide assistance.
Capital expenditure projections – when estimating capital expenditure required by a business it is important to consider the current status of the business’ assets and any investment that may be required for replacements or upgrades. Other examples of potential capital expenditure include research and development expenses. The Valuecruncher input sheet also requires a terminal capital expenditure amount – this is simply the “typical” level of capital expenditure that the business would anticipate into the future. We include this amount to ensure that capital expenditure figures do not get inflated by current spending and truly reflect the on-going capital expenditure of the business.
Depreciation – the starting point for projecting the depreciation charge is the current amount. If the business plans to invest in fixed assets the depreciation charge can be expected remain constant and potentially increase. If the business has no plans to invest in its assets the depreciation charge can be expected to decrease.
Balance Sheet
The Balance Sheet inputs for the Valuecruncher valuation are only historic numbers – there are no projections required.
Compiling the Valuecruncher valuation input sheet: Balance Sheet items - Example
3. The valuation calculation
Valuecruncher incorporates the projections and balance sheet values supplied by client (via the input sheet) into a discounted cash flow (DCF) model. Valuecruncher estimates the long-term growth rate and the required rate of return for the business. Valuecruncher will calculate the sensitivity of the valuation to the projected revenue and profitability supplied by the client. The sensitivity analysis provides an indicative valuation range. The DCF valuation is supplemented by comparable company analysis and an asset based valuation.
Comparable Company Analysis – Valuecruncher has an extensive database of information on companies in a wide range of industries around the world. Using the database Valuecruncher will compare the DCF valuation output with the implied valuation based on prices comparable companies have sold for and trading prices of publicly listed companies. Comparable company analysis is a relative measure of value that provides a check for the DCF valuation. The comparable company analysis does not incorporate the unique features and opportunities of a business but provides a market-based estimate of value.
Asset Analysis – Valuecruncher calculates the value of the business’ net tangible assets (NTA). This is a purely accounting based measure that incorporates the current book value of the business’ assets. NTA is not a forward looking approach and it does not evaluate the earning potential of the assets. The NTA methodology is often impacted by the accounting treatment of assets (i.e. depreciation policies).
These three valuation methodologies form the cornerstone of the valuation frameworks used in global investment banks and major accounting firms.
4. Valuecruncher review the valuation
Upon completing the valuation calculations a member of the Valuecruncher team will independently review the valuation including the projections and inputs provided by the client and the assumptions applied.
Common issues identified with valuations include:
If Valuecruncher identifies an issue that materially impacts the valuation the client will be contacted to clarify the issue before the valuation report is generated.
5. Valuecruncher provide the valuation report
Valuecruncher compiles the inputs provided and the valuation outputs into a five-page valuation report. The valuation is expressed as an indicative range based on the DCF sensitivity analysis with a mid-point reflecting the inputs and projections supplied by the client; this is supplemented by the implied comparable company and NTA valuations. The report includes a summary of the valuation outputs and highlights any assumptions that may need to be reviewed. If after inspecting the report and assessing any potential issues raised by Valuecruncher the client wishes to revise the initial inputs provided, Valuecruncher will provide an updated valuation report for no additional fee.
Get a Valuecruncher valuation - click here
Download a PDF version of 5 Steps to Valuing a Business - click here
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