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What’s the main idea of comparable
Look at what the market pays for similar companies & use that price to project yours
What’s the problem with comparable
Companies are different sizes, so you can’t compare raw prices
Solutions to comparables
Multiples
Define Multiples
The price you pay per dollar of some operating number from the company
What you pay/ A measure of what you get
Define Numerator
What you’re paying (A value)
Define a denominator
What you’re getting in return (Earnings, Cashflow, Revenue)
How to calculate Multiples
Average of weighted average of comparable companies
Multiply by your company’s denominator to get the value
What are some equity multiples (price based)
P/E: Price-to-Earnings
PEG Ratio:
P/B: Price-to-Book
P/CF: Price-to-Cashflows
P/FFO: Price-to-Fund From Operations
P/NAV: Price-to-Net Asset Value
Explain P/E (Price-to-Earnings)
How many dollars you pay for each $1 of yearly profit
Formula: Share Price/EPS
Ex. $50 share price/$5 EPS = 10
Used: Mature & stable companies
Define Trailing P/E
Price/EPS from the last 12 months
Uses real numbers
Define Forward P/E
Price/EPS for the nest 12 months
Uses analyst forecasts
Usually lower because earnings are expected to grow
Explain the PEG ratio
P/E adjusted for growth, high P/E is ok if growth is high too
Formula: P/E / expected earnings growth rate (gr is a whole number)
Used: profitable, fast growing firms
Explain the P/B (Price-to-Book)
How much you pay compared to the accounting value of the company
Formula: Share price/Book Value of equity per share
Ex. Price = $30, book value per share = $20 → P/B = 1.5
Used: Firms with lots of tangible assets (banks) because their b/s are closer to the real market value
Define Book Value
What the b/s says the company is worth
Explain P/FFO (Price-to-Fund From Operations)
Real estate deprecation is just an accounting charge so FFO adds it back to show earnings
Used: REITS
How to calculate FFO
Net Income + deprecation
Adjusted for gains or losses on selling property
Explain P/CF (Price-to-Cash Flows)
Like P/E but uses CF which is harder to manipulate than earnings
Formula: Share price/Cash flow per share
Used: Mining & resource firms
Explain P/NAV (Price-to-Net Asset Value)
Used: Mining & resource firms
If P/NAV = 1, you pay exactly what the underlying assets are worth
What are some Enterprise Multiples (whole company based)
EV/EBITDA
EV/Revenue
EV/Resources
Explain EV/EBITDA
How many dollars you pay form the whole business per $1 of its operating earnings
Formula: EV/EBITDA
Used: Capital heavy firms (infrastructure) & young firms with heavy deprecation
Weak point: proxy (Assumes spending on equipment equals depreciation, ignoring taxes and working capital)
Explain EV/Revenue
How much you think you pay for $1 sales
Formula: EV/Revenue
Used: Young companies with losses, have no earnings or cash flow yet
Explain EV/Resources
EV per unit of resource like barrel of oil or ounce of gold
Used: Mining & Resources firm
What are some pros of multiples
Fewer assumptions
uses real market price, doesn’t rely on forecasting
Simpler than a DCF
Quick & easy to explain
What are some cons of multiples
Hard to find companies that are truly similar
Values relative to companies & whole industry
Over simplified (don’t use for investing)
What are four examples of use cases for relative valuations
Private companies: Don’t have inputs for DCF (like beta and market value)
Short term or momentum trading: If you plan to sell soon (IPO) & what matters s the price the market will pay today
Volatile Market: A DCF won’t capture panic selling or irrational behaviour & relative pricing reflects the market as it is
Stock broker: Justify stock prices by comparing them to others & making recommendations feel safer
What makes companies comparable
Same product or service
Similar size
Same customer
Same business model
Similar growth & risk (return is a multiple of risk)
Similar capital structure
Define Outliers
Companies with numbers far from the rest
Should we remove outliers right away
No, first find out why they’re an outlier
When do we keep outliers
If it reflects something real in the industry
What to use instead that limits the effect of outliers
The median
What are the 2 general rules for choosing multiples
Rule 1 Must be consistently defined: top & bottom must belong to the same group
Rule 2 Must be calculated the same way: All the comparable must measure the denominator in the same way
What are the choices of EPS
Primary EPS: Actual shares only
Fully diluted EPS: Actual shares + All options
Partially diluted EPS: Only in-the-money option
Others: Counts everything that could turn into shares options, warrants, convertible debt
Define stock option
The right to buy a share in the future at today’s price
Define fully diluted shares
Every share could exist if all options, warrants, convertible were used
Define Warrants
Like options but issued from the company
Define convertible debt
Debt that can be turned into shares
What does regression help do
Check which multiple has the highest R2 with that industry or region
R2: Best fit
What are the two ways that can be used to choose which multiple is used
Use the multiple with the highest R2 in that sector or region
Use th multiple that makes the most sense of that sector
What are the 5 steps of a comparable analysis
Identify comparable
Collect financial information
Choose & Calculate multiples
Benchmark the comparable
Determine the valuation
True or false: if you do both intrinsic & relative valuation both correctly you should get the same value
True
What does it signal if the intrinsic & relative valuation is different
Recheck assumptions
True or false: Which valuation model you use depends on your goal
True
Long term investing: intrinsic
Short term investing, IPO: relative
What does a company you use when competition removes all positive NPV trading opportunities
Effective Market Hypothesis (EMH)
Define EMH
Prices are fair given all the information provided
What are the 3 forms of EMH
Weak form: Price isn’t based on information received, or information takes time to come in
Semi-Strong form: All public information is already in the price
Strong form: Price reflects everything insiders can’t profit because the law prevents it
Define Public, easy-to-read information
The price reacts almost instantly
Define Private, hard-to-find information
The price takes time to react
What are implications of market efficiency
Only beat the market with competitive advantage
Average investors don’t need to worry about being taken advantage of
What are implications of market efficiency for corporate managers
Focus on NPV & FCF: thats what raises stock prices
Avoid Accounting illusions: Accounting changes that don’t change cash flows don’t change value
Use Financial transactions to support investment: Sell shares fairly to fund good projects
Define capital budgeting
Deciding which project os a company should spend its money on
Define capital budget
The list of projects the company prams to do in the coming years
what question that forecasting asks
What does the project earn?
What questions does FCF & NPV ask
What cash does it produce & is it worth it?
What are the 3 key decisions finance makes
Capital structure: how much debt vs equity to use
Capital Budgeting
Operating decisions: managing day-to-day (working capital)
Where do projects come from
Other departments within a company
What are the 4 steps of capital budgeting
Forecast the project’s incremental earnings
Adjust earnings into FCF & earnings aren’t cash so we fix that
Discount the FCF at the cost of capital to get NPV
Accept NPV if its positive
Define incremental
Only changes because of the project
Define unlevered net income
Net income without interest
Assumes: the project is all equity financed so no interest expense
What are the 2 important rules that must be followed when forecasting FCF associated with a project
Only incremental cash flow count: Only include CF that changes because of the project
Ignore sunk costs: Money that has already been spent & can’t be recovered so doesn’t affect the decision
What are common incremental costs
Incremental revenue & costs: Extra sales & cost caused by the project
Incremental taxes: Extra tax due to the project
Incremental capital expenditures: Money spent buying equipment or buildings
Incremental NWC
Incremental CCA tax shield: tax savings from deducting CCA
Opportunity cost: The value you give up by choosing one option over the other
Externalities: Side effects on other products (cannibilzation, complementary products)
Salvage value: Cash from selling an asset when the project ends
Define NWC
The money the project ties up in day-to-day operations
Formula: Current Assets - Current Liabilities
What happens when there’s an increase in NWC
Decrease in FCF
Increase in NWV means more cash in unpaid bills & inventory
What happens when there’s a decrease in NWC
Increase in FCF
How do we calculate the change in Net Working Capital
NWC this year - NWC last year
Explain CCA (Capital Cost Allowance)
Used: to calculate taxes in capital budgeting
Need it: because it determines how much deprecation we can deduct for tac purposes
CCA reduced taxable income which lowers taxes paid
CCA is not a CF but the tax saving from CCA affect CF
Explain the CRA (Canada Revenue Agency) rules
Assets are grouped into classes each with a set CCA rate (d)
When you buy an asset its cost goes into the UCC
Define UCC (Undepreciated Capital Cost)
The part of the cost you haven’t claimed yet
Explain the half year rule
Government doesn’t know when you bought the asset, it assumes the middle of the year
What’s the formulas for UCC
Year 1(Half rule): 0.5 x CapEx
Year t (General formula: CapEx x (1-d/2) x (1-d) ^(t-2)
What are the 2 approaches to calculating the impact of capital cost allowance on the NPV at a project
Approach 1:l Deduct CCA each year
Approach 2: Calculate the PV of all the CCA tax shields separately
Explain Approach 1:l Deduct CCA each year
Compute CCA for each year then subtract it from earnings before tax then add it back when moving to FCF (bc its not cash)
Problem: A 5 year forecast might miss tax savings that continue after the project ends
How to calculate unlevered net income
EBIT x (1 - tc)
OR (Revenue - Cost - CCA) x (1-tc)
How to calculate FCF
(Revenue - Cost) x (1 - tc) - CapEx - Change in NWC + tc x CCA
How to calculate CCA tax Shield
tc x CCA
When can you use this Approach 2: Calculate the PV of all the CCA tax shields separately
When CCA shield is left out of the FCF
What’s the formula for PV cca tax shield
(CapEx x d x tc/ r+d) x (1 + r/2/1+r)
(CapEx x d x tc/ r+d): growing perpetuity accounting for -d
(1 + r/2/1+r): Half year rule
Formula for selling the asset
-(min ( sale price, CapEx) x d tc/ r+ d) x (1/(1+r)^t)
What does it means if proceeds > original costs
Capital gain
Formula for capital gain tax
½ (proceeds - CapEx) x tc
What does it mean if proceeds < original cost
Capital loss
Define depreciable asset
You can’t deduct the capital loss for tax purposes
What is removed from UCC
the lower of the original cost or sale price
Only what can be used to claim CCA
Remaining UCC after deducting the sale price original price
What’s an exception to UCC
Terminal loss
If the asset sold was the las asset in the class
The firm can claim whatever remains in UCC as terminal loss
Which reduces taxable income
Define opportunity cost
The value you give up by using a resource for a project instead of the next best
Define externalities
Indirect effects of the project on other parts of the business
Cannibalization: when the project takes away sales from an existing product; loss profit is negative cash flow
Complementary products: customer but more of something else because of the project; increase profit is positive cash flow
Define sunk costs
A cost already incurred that must be paid whether we take the project or not
Ex. Past R&D, Fixed overheard, unavoidable competitive effects
Define fixed overhead
Costs that don’t change because of the project
Ex. rent, CEO salary
Define cannibilization caution (unavoidable competitive effects)
Ignore sales lost to competitors anyway
What do we do when firms forecast the FCF of the project less than what its supposed to be
Add an extra one-time cash flow at the end of the forecast period (terminal value)
Formula of PV terminal value & step by step how to solve
(FCFn+1/rwacc - gFCF)/(1+rwacc)^n
Take the first FCF after the forecast period
Divide by (r-g) because its growing
Discount back n years to today
What do we leave out when evaluating a project & why
Interest expense
Because: Interest depends on how the firm chooses to finance the project which is a separate decision
Define marginal corporate tax rate
The tax rate on the next dollar of pre-tax income the project earns
What’s the formula for NPV
NPV = Sum of all PV
PV (FCFt) = FCFt /(1+r)^t