Title: Investment Banking Internship Class
1Investment Banking Internship Class
- Valuation II
- Intrinsic Value
2Objectives
- A. Review the importance of intrinsic value
- B. Understand how to calculate intrinsic value,
using the 8 key methods
3 Review the Importance of Intrinsic Value
- What is intrinsic value?
- The present value of a firms cash flows
discounted by the firms required rate of return - In an efficient market, what should the
relationship be between a firms intrinsic value
and market value? - In a truly efficient market, the intrinsic value
should equal its market value - What happens if it doesnt?
- There are opportunities for profit
4Intrinsic Value (continued)
- How do you determine Intrinsic Value?
- It is a value assigned by the analyst
- It is based on specific theories and assumptions
- Analysts use specific models for estimation
- Lots of models exist, but remember, they are
proxies for reality not reality
5Intrinsic Value (continued)
- What happens if the intrinsic value is greater
than the market price (and your intrinsic value
is correct)? - Intrinsic Value gt Market Price
- Buy
- Intrinsic Value lt Market Price
- Sell or Short Sell
- Intrinsic Value Market Price
- Hold or Fairly Priced or Fully Valued
6Questions
- Do you understand the importance of intrinsic
value?
7Understand how to calculate Intrinsic Value
- For the purposes of your company report, we will
cover the following topics1. Discount
Rate2. Discount Dividend Models3. Internal
Rate of Return (IRR)4. Present Value of Free
Cash Flows to Equity 5. Value of Operations
plus Cash - 6. Present Value of Operating Free Cash Flows
- 7. Price to Book Value
- 8. Relative Valuation Models
-
81. Discount Rate
- What is the discount rate?
- It is the rate of return required by investors to
compensate them for the risk of the firm - What is the theory behind the discount rate?
- The CAPM Model
- This is one method broadly used by practitioners
to determine a companys required rate of return.
This is the rate that is used to determine the
companys cost of equity. - What is the formula?
- K rf beta (risk premium)
9Discount Rate (continued)
- What are the discount rate components?
- The nominal risk-free interest rate
- The risk premium (rM - rf )
- If the market is efficient, over time, the return
earned by investors should compensate them for
the risk of the investment. - How is it used?
- It is used to discount all future cash flows to
determine the present value of future dividends
and terminal values. - We use it to determine what the appropriate
discount rate is for our company
10Discount Rate (continued)
- Where do you get the risk free rate?
- Generally, the risk-free rate is considered the
rate on a 3 month or 1 year US Treasury bill that
you expect to receive over the life of the
investment - Where do you get the beta?
- The easiest method is to get it from Bloomberg.
You type your company ticker equity and BETA.
Then make sure the index is the SP 500 or SPX
(everyone should calculate their beta versus SPX)
11Discount Rate (continued)
- What about the time frame?
- You get to pick the time frame. If you think the
next 3 years are more consistent with the past,
choose a longer time period. If it is more
consistent with the most recent period, choose a
shorter time period. The minimum period is 60
observations, whether monthly (preferred) or
weekly. - What is the adjusted beta?
- Beta is volatile depending on the time period.
Companies such as Bloomberg calculate an adjusted
beta, which is 2/3 the calculated beta and 1/3
the market beta of 1. It tends to lower the beta
and hence reduce the discount rate, which is more
consistent with actual results
12Challenges with the Discount Rate (DR)
- What are your assumptions for the Discount Rate?
- 1. What is the time period for calculating beta?
- Is beta stable over all time periods?
- Do you use the adjusted or calculated beta?
- 2. What is your forecast for the market risk
premium? - Small changes can have a big impact on your DR
- Is the market risk premium stable over time?
- 3. What is your risk-free rate?
- Is it stable over time?
- 4. Is the Discount Rate useful?
- Or should you just set a high hurdle rate, say
15, to make sure you compensate for these other
concerns?
132. Dividend Discount Models (DDMs)
- What are Dividend Discount Models?
- Models which take into account discounting
expected future cash flows to gain a reference
for the value of a company - How do they work?
- DDMs determine the firms value by taking the
present value of all future cash flows
(dividends) and the eventual sale of equity or
terminal value
14Dividend Discount Models (continued)
- How do you determine the final sale price of the
stock? - Remember the PE is the price divided by EPS.
Therefore, the future value of the stock is the
estimated PE in the future times the estimated
EPS - You calculate the 2011 EPS. Multiply the 2011
EPS estimate by your estimated 2011 PE ratio to
get the price of the stock - So instead of guessing the future price, do you
guess the future PE? Any hints? - A good starting point is calculating your
harmonic mean PE for your last 5 years (positive
PEs only). The formula is - (5/(1/PE1)(1/PE2)(1/PE3)(1/PE4) (1/PE5))
15Dividend Discount Models (continued)
- What next?
- Find the present value of the future cash flows
(dividends) for the next five years and the
forecast sale price by discounting them by the
discount rate calculated above. - This will give you an intrinsic value at your
estimated discount rate. - Divide the present value by the current market
price and you will get the percentage of
overvaluation or (under-valuation) - From this valuation point, you can determine
whether the stock is attractive (buy) or not
(hold or sell)
16Dividend Discount Models (continued)
- What are we assuming?
- We are assuming that the stocks dividend growth
rate will be at a constant rate over time.
Although this may be unrealistic for fast-growing
or cyclical firms, DDMs may be appropriate for
some mature, slower-growing firms. Two and
three-growth stage models can be used to modify
this model as alternative assumptions - What factors will impact the dividend growth
rate? - The dividend growth rate will be influenced by
the age of the industry life cycle, structural
changes, and economic trends
17Challenges with DDMs
- What are your assumptions for DDMs?
- 1. Dividends grow at a constant rate
- This is rarely the case
- 2. The constant growth rate will continue for an
infinite period - This is also rarely the case
- 3. The required rate of return (k) is greater
than the infinite growth rate (g). If g gt k, the
model become meaningless because the denominator
becomes negative - If you have this problem, you will need to reduce
g downward. Document this clearly in your
reports.
183. Internal Rate of Return
- What is the internal rate of return?
- It is the discount rate that equates the present
value of cash outflows for an investment with the
present value of its cash inflows. - Theoretically, you compare your firms cost of
capital to the IRR - Accept (reject) any investment proposal with an
IRR greater (less) than your cost of capital - What are my cash flows?
- Your dividends and your eventual sale of the
shares
19Challenges with the IRR
- What are your assumptions for the IRR?
- 1. Do dividends grow at a constant rate?
- This is rarely the case
- 2. What is your terminal value?
- How sure are you of that terminal value?
- Your choice of method for calculating your
terminal value will have a big impact on this
calculation
204. Free Cash Flow to the Firm (FCFF)
- What is the difference between cash flow and free
cash flow? - Free cash flow recognizes that some investing and
financing activities are critical to the ongoing
success of the firm over and above net income and
depreciation. Free cash flow takes these
additional costs into account - What is Free Cash Flows to the Firm (FCFF)?
- Cash flow available to the companys suppliers of
capital after all direct operating costs (CGS,
SGA, etc.), necessary investments in working
capital, and investments in fixed capital.
21Free Cash Flow to the Firm (continued)
- How do we calculate FCFF?
- FCFF is equal to EBIT (1-tax rate)
depreciation (non cash charges) capital
expenditures change in net working capital
terminal value - This is the cash flow generated by a companys
operations and available to all who have provided
capital to the firm both equity and debt.
22Free Cash Flow to the Firm (continued)
- What is the appropriate discount rate?
- Because we are dealing with the cash flow
available for all capital suppliers, we use the
WACC, which combines the companys cost of equity
and debt. - Where do we find the cost of equity?
- The cost of equity was determined with the
calculation of the discount rate k. - Where do you find the cost of debt?
- The cost of debt is the interest rate at which
the company borrows money from the financial
markets. As a proxy, you can use the imbedded
cost of debt you calculated for your latest year
(generally adding a 1-2.0 premium)
23Free Cash Flow to the Firm (continued)
- How do you calculate the weight for debt?
- Weight of Debt LTD/Enterprise Value
- What is enterprise value?
- The enterprise value is the total market value of
an enterprise plus the value of its debt. It is
a step beyond market capitalization. It starts
with market capitalization, and then adds in
preferred equity, minority interest, and the
market value of the firms debt, then subtracts
out the value of cash and cash equivalents. It
is a better statistic than market value alone
24Free Cash Flow to the Firm (continued)
- How about the weight for equity?
- Weight of Equity (1- Weight of Debt)
- The sum of these two should equal 100
- What is the formula for the WACC?
- WACC (Wd Kd) (1-T) (We Ke)
25Free Cash Flow to the Firm (continued)
- Once you have your operating free cash flows,
then what? - 1. You assume a constant growth rate g for your
final cash flow, and discount that cash flow at
WACC-g - 2. Sum your discounted cash flows and discount
them at your WACC to get your present value of
the firms operating Free Cash Flow - 3. Subtract out your long-term debt to get the
value of your equity - 4. Divide your firm value of equity by the
number of shares outstanding at your last
forecast year - 5. Compare your intrinsic value (per share) to
your current market price (per share)
26Challenges with FCFF
- What are your assumptions for the FCFF
- 1. Do cash flows grow at a constant rate?
- This is rarely the case
- 2. At some point in time, you assume a growth
rate in perpetuity - How sure are you of that growth rate?
- Will it really grow forever (as we assume)
- 3. Do we remember that all these forecasts are
really just thatforecasts - Lots of things can change
- 4. Is the WACC the correct rate to discount cash
flows?
275. Value of Operations Plus Cash
- What is Value of Operations plus Cash?
- Consulting history has shown that attractive
firms are valued in a range of 6-9 times EBITDA
multiples plus working capital less debt
(EBITDAWCD). If you can find firms valued at
greater than 7.5x EBITDAWCD, it may be attractive
- Start with your EBITDA earnings, and multiply
those by 6 and 9 times - Divide those by diluted shares outstanding to get
EBITDA per share
28Value of Operations Plus Cash (continued)
- Calculate Working Capital less long-term debt
(Current Assets less Current Liabilities less
long-term debt - Divide those by diluted shares outstanding
- Add working capital less debt per share to the
EBITDA multiples per share - Take the average of the 6x and 9x multiples
- Divide the EBITDAWCD price by the current share
price to determine the percent under (over)
valued
29Challenges with EBITDAWCD
- What are your assumptions for the EBITDAWCD?
- 1. EBITDA is the only source of value
- This is rarely the case. However, it is useful
for valuing the operations of the firm - 2. The multiple of 7.5x is the correct valuation
multiple - How sure are you of that multiple?
- 3. The multiple of 7.5x is the correct valuation
multiple for all companies - Perhaps different industries should use
different valuation multiples
306. Free Cash Flows to Equity (FCFE)
- What is free cash flow to equity?
- It is the cash flow available to the companys
common equity holders after all payments to debt
holders, and after allowing for all operating
expenditures to maintain the firms asset base - What is our goal?
- To determine a value for the firm based on the
free cash flow available to equity shareholders
after payments to all other capital suppliers and
after providing for continued growth of the firm
31Free Cash Flows to Equity (continued)
- How is it calculated?
- Net Income depreciation capital expenditures
needed to achieve revenue forecast change in
net working capital principal debt repayments
new debt terminal value - Remember that net working capital is current
assets less cash minus current liabilities less
notes payable and current portion of long-term
debt.
32Free Cash Flows to Equity (continued)
- Once you have your free cash flows, then what?
- 1. You discount your cash flows at your discount
rate k - 2. You assume a constant growth rate g for your
final cash flow, and discount that cash flow at
k-g - 3. Sum your discounted cash flows to get your
present value of the firms equity - 4. Divide the firm value by the number of shares
outstanding at your last forecast year - 5. Compare your intrinsic value (per share) to
your current market price (per share)
33Challenges with FCFE
- What are your assumptions for the FCFE
- 1. Do cash flows grow at a constant rate?
- This is rarely the case
- 2. At some point in time, you assume a growth
rate in perpetuity - How sure are you of that growth rate?
- Will it really grow forever (as we assume)
- 3. Do we remember that all these forecasts are
really just thatforecasts? - Lots of things can change
- 4. Is the Discount Rate for Equity the correct
rate to discount cash flows?
347. Price to Book Value Method
- The Price to Book method assumes a methodology
for calculating terminal value - Since we have an estimate of our future book
value, we can estimate, based on historical
information, a terminal value for a Price to Book
multiple at the end of our forecast period - Then, you multiply your Price to Book multiple
times your forecast book value per share to give
your future price - Add back in forecast dividends
- Discount the dividends and terminal value based
on Price to Book by your cost of equity to get
your intrinsic value
35Challenges with the Price Book Method
- What are your assumptions for your Price to Book
forecast? - 1. How sure are you of your P/BV forecast?
- Is it volatile?
- 2. Do we remember that all these forecasts are
really just thatforecasts? - Lots of things can change
- 3. The required rate of return (k) is greater
than the infinite growth rate (g). If g gt k, the
model become meaningless because the denominator
becomes negative - If you have this problem, you will need to reduce
g downward. Document this clearly in your
reports.
368. Relative Valuation Methods
- What are relative valuation methods?
- Methods which provide information about how the
market is currently valuing stocks at several
levels, the market, industry, and comparative
stocks in the industry. These are often called
comps or comparables of similar companies or
industries - What is relative fair value?
- It is the value of the company relative to other
stocks, or stocks in the same market or industry - Which relative valuation methods are used most
often? - Generally, the most used in the industry is Price
Earnings. However, Price to Sales, Price to
Book, Dividend Yield, and Price to Cash Flow are
also used
37Relative Valuation Methods (continued)
- How do you use relative valuation methods?
- You compare your companys valuation ratio to the
market, industry, its history, or other companies - If you notice a change in relative valuation,
i.e. it is cheaper (expensive) than it has been
historically, it may signal it may be a buy
(sell) assuming no other major changes in the
company and industry - In the Apple case, we used PE relative to the
market. Can we use price earnings relative to
the industry? - Yes, although it is harder to find good forecast
data on the industry, as most industry indices do
not have forecasts.
38Relative Valuation Methods (continued)
- How do I determine my buy and sell range?
- This is one of the most difficult challenges of
being an analyst. Here is where the art comes
in! - Look to company history.
- If the company has traditionally traded in a
tight range, the likelihood is that it will
continue - If your company is volatile, it will be more
difficult and you will need to make the best
decision you can - Use wisdom and judgment
- Determine whether you think its a buy, sell or
hold, then set your relative value consistent
with that view
39Relative Valuation Methods (continued)
- How do you calculate relative valuation, say, for
example, relative PE? - 1. Calculate your PE for your company
historically and for your forecast period - 2. Calculate your PE for the market/industry
historically and for the forecast period - 3. Calculate the relative PE (i.e. the company
PE / market PE) for all periods - 4. Look at the trend for the relative PE
40Relative Valuation Methods (continued)
- 5. Based on that trend, determine what you
consider to be a fair relative PE range, i.e. at
what relative PE would you buy the stock, and at
what relative PE would you sell the stock - 6. Calculate your buy and sell ranges using the
formula relative PE range market PE firm
EPS Future Price
41Challenges with Relative Valuation
- When is it most appropriate to use RVM?
- When you have a good set of comparables, i.e.
industries/companies in terms of size and risk - When the aggregate market is not at a valuation
extreme, i.e. it is neither over or undervalued - When are they inappropriate?
- When you have poor comparables or the current
market level is at extremes. - If you compare the value of a company to the very
overvalued market, you might believe it is cheap.
However, you may be wrong as company may be
fully valued and the benchmark, the market, is
overvalued.
42Challenges with Intrinsic Value Methods
- What are the difficulties with these PV
calculations? - These cash-flow techniques are very dependent on
two significant inputs - 1. The growth rate of cash flows g, and
- 2. The estimate of the discount rate k (or WACC)
- A small change in either input will have a
significant impact on the estimated value - In addition, it is possible to derive intrinsic
values which are substantially above or below
current prices depending on how you adjust your
estimated inputs to the prevailing environment.
Be careful!
43Summary Intrinsic Value Calculations
- The next step is to summarize your intrinsic
calculations thus far. - Take and average of the values calculated from
the Dividend Discount Model, Free Cash Flows From
Equity and Operating Cash Flow, Book Value, and
EBITDA and compare the forecasts with the
current market price. - This will let you know if the companys stock is
over- or undervalued on a percentage basis - If you have any models in which the intrinsic
values are negative, try to understand the
problem (it may be because your g gt k). Not all
models may be valid over all time periods
44Review of Objectives
- A. Do you understand the importance of intrinsic
value? - B. Do you understand how to calculate intrinsic
value, using the eight key methods discussed?