How To Read Our Spreadsheets
The analysis of an investment is an examination of the
tradeoff between expected cash flows and the risk to those cash flows, resulting
in a discounted present value. Our spreadsheets are split into a Summary,
Valuation, Debt Details, and Debt Financing template. If a firm does not have
significant debt, the templates related to it are removed.
The Summary page is split into Risk and Growth Assumptions,
Results i.e. equity pricing, Enterprise, i.e. firm pricing and debt and tax
effects, and a chart of layout of the cost structure of the firm. Assumptions
made are macroeconomic, related to growth and cost of capital, and market
information related to the firm.
Note: Discount Rate, Cost of Capital, and Expected return
are used interchangeably in this document.
Conclusion
This modeling exercise can yield many counterintuitive
results for the novice trader, and sometimes, even for seasoned ones. We
strongly believe that a lot of intangible factors are built into the firm’s
growth numbers. An experience user of our system can tell in minutes if a stock
is cheap or expensive, or at least, not expensive or not cheap. The difference
between cheap and not expensive is that a cheap stock should be bought, whereas
a stock that is not expensive should at least not be used in a short strategy,
even if certain risks make one uncomfortable in a long position.
Risk Assumptions
1 Year Treasury Yield
10 Year Treasury Yield
Beta (correlation of a stock’s returns with a proxy of the
entire market e.g. S&P 500)
The interest rate ‘spread’ of the firm’s bonds i.e. their
yield minus the yield of Treasury bonds of similar duration, (estimated in the
absence of market information.)
We place a maximum limit our beta input at 2.25. The
reason is that the market seems to ignore a substantial amount of day to day
volatility in high growth stocks. Additionally, we use a minimum beta of .75.
The market would rarely set a risk premium of 0 if a stock were illiquid or not
move for months.
These factors are used to calculate the Risk Premium, which
is the return investors expect above a return from Treasury bonds for investing
in the securities of the firm. The expected return is calculated for the firm
as well as its stock. These two are distinct, because private market and
internal budgeting decisions can carry substantially different discount rates
from public market pricing of the firm’s stock. The discount rate applied to
the firm reflects the return an investor would expect to purchase a stake in the
firm in a private market transaction. The discount rate applied to the stock
reflects the expected return expected by a broader set of investors reached
through a public offering.
Growth Assumptions
Growth Retention This is the change from year to
year of the growth rate. For the mathematically inclined, this is the second
derivative of the revenue. Using a formula allows us to project growth into the
future mechanically, i.e. without making any judgment calls. The next year may
be influenced by Street analysts or management statements, but future years are
almost always a mathematical function of past growth. This project was begun
skepticism, if not suspicion of the numbers touted by the sell side, and we
firmly believe a general mathematical solution is far superior to the prejudices
inherent in human forecasts. This solution is not ‘naive’, in that it takes
into account cyclical, seasonal, and firm specific factors that might impact
future growth.
Terminal Growth
This is resulting growth
in year 10 of the projection, in a band around nominal GDP growth ranging from
inflation to 10%. We allow higher terminal growth for the very rapidly growing
firms, but typically not into double digits. The mean is slightly below nominal
GDP, as the majority of the growth of an economy is captured by small firms.
Enterprise
For firms with debt, the leverage
must be included in the total market value to calculate appropriate multiples,
and its impact must be taken into account to calculate the taxes and capital
structure risk to the equity. The reverse is also true, in that the market
price of the equity carries a tremendous amount of information on the perceived
risk of the debt and hence, the operating and financial health of the firm.
The Cost Structure chart graphically illustrates the
revenue and cost projections on the next template.
Valuation
The latest two years and the latest and comparable year ago
quarter are used to make projections of revenue and costs. The revenue
projection can also take the prior quarter revenue as an input in order to
calculate certain boundaries on the growth rate.
We then focus on the cost structure of the firm, trying to
see what the most likely scenario of costs is going forward, partly based upon
existing trends, partly upon economic imperatives. All costs and capital
expenditures are calculated as a % of revenues. If liability information is
available, it allows for a calculation of interest costs independent of
revenues.
The resulting difference between revenues and costs gives
us a sense of the cash the firm will generate going forward. When it is
discounted using our discount rate for the firm, it gives us the present value
of the firm. The terminal value, which often represents a large percentage of
the value of a firm is calculated using the formula for a growing annuity.
The free cash flow to equity is calculated after
subtracting interest and taxes. The resulting projection is then discounted
using the cost of capital to the equity. The difference between the value of the
firm and the value of the equity is explained by the value of the debt and taxes
as well as the different volatility of public vs. private market value.
The calculation of equity value incorporates the effect of
expected dilution. Such dilution can occur as a result of stock issuance, or,
convertible bond or option issuance.
The last few lines of the sheet are accounting
reconciliations, which give us a data error check, as well as a number
comparable to announced earnings by companies.
Debt Schedule
This sheet is meant to detail the maturity schedule of the
liabilities of the firm, and, if available, details on its duration and specific
tranches.
Debt Financing
This sheet projects the financing needs of the firm for the
next few years, as well as activities that generate or consume cash. If a firm
relies heavily upon short term financing, we extend the duration of its
liabilities to measure the impact of the unavailability of short term debt under
adverse market conditions.
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