Equity Flashcards
Porter’s five forces
- Competition
- Substitutes
- Supplier power
- Buyer power
- New entrants
Differences between bills, notes and bonds
- T-bill: maturity of one year or less, is sold at a discount
- Note: maturity of two, three, five and ten years, interest is paid semi-anually
- Bond: maturity of ten years or more, interest is paid semi-anually
Money Vs. Time-Weighted Return
- Money-weighted: IRR
- Time-weighted: HPR = ((MV1 - MV0 + D1 - CF1)/MV0)
- Where: MV0 = beginning market value, MV1 = ending market value,
D1 = dividend/interest inflows, CF1 = cash flow received at period end (deposits subtracted, withdrawals added back)
ex ante
forward-looking
ex post
based on actual results
Ibbotson and Chen model

Ibbotson and Chen model abbr.
- EINFL: expected inflation
- EGREPS: expected growth rate in real earnings
- EGPE: expected growth rate in the P/E ratio
- EINC: expected income component
Unleveraged beta

Leveraged beta

- Operating Income
- g
- Capital expenditure (Capex)
- Net PPE
- EBIT
- ROE x b
- FCInv
- Net Property Plant and Equipment
Arbitrage pricing theory (APT) - Multifactor model

Fama-French model

Fama-French model abbr.
- RMRF: Rm - Rf (Rf = return on the one month T-bill)
- SMB: small minus big, average return on 3 small-cap portfolios minus the average return on 3 large-cap portfolios
- HML: high minus low, average return on 2 high book-to-market portfolios minus the average return on 2 low book-to-market portfolios
Pastor-Stambaugh model
FFM model + LIQ
GICS
Global industry classification standard
Barriers to entry
- Supply-side economies of scale
- Demand-side benefits of scale
- Customer switching costs
- Capital requirements
- Incumbency advantages independent of size
- Unequal access to distribution channels
- Restrictive government policy
Strategic styles
- A classical strategy works well for companies operating in predictable and immutable environments
- A shaping strategy is best in unpredictable environments that you have the power to change
- An adaptive strategy is more flexible and experimental and works far better in immutable environments that are unpredictable
- A visionary strategy (the build-it-and-they-will-come approach) is appropriate in predictable environments that you have the power to change
Return on invested capital (ROIC)
- NOPLAT / Invested capital
- NOPLAT= net operating profit less adjusted taxes (NOP before interest expenses)
- NOPLAT = Operating Income (EBIT) x (1 - Tax Rate)
- Invested capital = Operating assets - Operating liabilities
Return on capital employed (ROCE)
- Operating profit (EBIT) / Capital employed (debt and equity capital)
- Effective tax rate
- Marginal tax rate
- Total tax paid as a percentage of the company’s accounting income instead of as a percentage of the taxable income
- Tax rate an individual would pay on one additional dollar of income
Weak-Form EMH
The weak-form EMH implies that the market is efficient, reflecting all market information. This hypothesis assumes that the rates of return on the market should be independent; past rates of return have no effect on future rates. Given this assumption, rules such as the ones traders use to buy or sell a stock, are invalid
Semi-Strong EMH
The semi-strong form EMH implies that the market is efficient, reflecting all publicly available information. This hypothesis assumes that stocks adjust quickly to absorb new information. The semi-strong form EMH also incorporates the weak-form hypothesis. Given the assumption that stock prices reflect all new available information and investors purchase stocks after this information is released, an investor cannot benefit over and above the market by trading on new information
Strong-Form EMH
The strong-form EMH implies that the market is efficient: it reflects all information both public and private, building and incorporating the weak-form EMH and the semi-strong form EMH. Given the assumption that stock prices reflect all information (public as well as private) no investor would be able to profit above the average investor even if he was given new information
P/E in relation to PVGO

- Trailing P/E
- Forward P/E
- Today’s market price divided by the trailing 12 months’ earnings per share
- Today’s market price divided by a forecast of the next 12 months’ earnings per share
Gordon growth model

(1 - b)
Dividend per share/ Earnings per share
Required rate of return with the Gordon growth model

Two-stage DDM

The H-model

The H-model variables
- H: half life in years of the high-growth period
- gS: initial short-term dividend growth rate
- gL: normal long-term dividen growth rate after
g using ROE
g = b x ROE
/
b = retention rate
H-model required rate of return

ROE decomposition
- NI / Common shareholders’ equity
- (NI / Total assets) x (Total assets / Common shareholders’ equity)
- (NI / Sales) x (Sales / Total assets) x (Total assets / Common shareholders’ equity)
- g = (NI - dividends / NI) x (NI / Sales) x (Sales / Total assets) x (Total assets / Common shareholders’ equity)
PRAT
- Profit margin
- Retention rate
- Asset turnover
- Financial Leverage
PVGO
- PVGO = P0 (intrinsic stock price) - D1 / r
- No growth → D1 / r = E1 / r

FCFF
- NI + NCC - WCInv + Int(1 - tax rate) - FCInv
- CFO + Int(1 - tax rate) - FCInv
- EBIT(1 - tax rate) + Dep - FCInv - WCInv
- EBITDA(1 - tax rate) + Dep(tax rate) - FCInv - WCInv
FCFE
- CFO + Net borrowing- FCInv
- FCFF + Net borrowing- Int(1 - tax rate)
- NI + NCC - WCInv + Net borrowing - FCInv
- NI - (1 - DR)(FCInv - Dep) - (1 - DR)(WCInv)
Cases in which the FCFF model is often chosen
- A levered company with negative FCFE
- A levered company with a changing capital structure
Residual income valuation context
- The company’s expected free cash flows are negative or difficult to predict within the analyst’s comfortable forecast horizon
- Dividends are volatile or the company is not paying dividends
FCFF firm value

FCFE equity value

Constant growth FCFF

Constant growth FCFE

Two-stage FCFF

Two-stage FCFE

Method of comparables - other given names
- Comparables
- Comps
- Guideline assets
- Guideline companies
Molodovsky cycle
Cyclicality of P/Es due to the business cycle
Normalized cyclical EPS - two of several methods
- Historical average EPS - Average EPS over the most recent cycle
- Average return on equity - Average ROE for the most recent cycle times the current book value per share
Inverse price ratio
- Earnings yield - E/P
- Book-to-market - B/P
- Sales-to-price - S/P
- Cash flow yield - CF/P
- Dividend yield - D/P
- TTM
- NTM
- Trailing twelve months
- Next twelve months (based on the average on the current and forecasted EPS)
Thomson first call
- FY1 - current fiscal year - based on the mean of analyst’s forecasts and actual data
- FY2 - following fiscal year - entirely forecasted
Yardeni Model
- CEY = CBY - b x LTEG + residual
- P/E = 1 / (CBY - b x LTEG)
- CEY = current earning yield
- CBY = current bond yield (Moody’s Investors Service A-rated corporation)
- LTEG = Long-term earning growth (5 years consensus of the earnings growth rate forecast)
- b = weight given to the 5 years earnings projection
P/E for a company with no growth considering inflation
- λ represents the percentage of inflation in costs that the company can pass through to revenue
- ρ = r - I

P/B based on fundamentals

P/B based on the residual income valuation

P/E x Net profit margin = P/S
Sales x Net profit margin = Net income
P/S based on fundamentals

Alternative sustainable growth rate equation

Dividend displacement of earnings
Investors may trade future earnings to receive higher dividends now
Trailing dividend yield
Calculated using the current dividend rate
Fundamental dividend yield

Value stocks
- High dividend yield
- Low P/B
- Low P/E
Enterprise value (EV)
MV of debt, common and preferred equity and minority interests - MV of cash and short-term investments
* does not necessarily equal the market value of the company
Total invested capital (TIC)
Market value of debt and equity
*different definitions given to invested capital
- Amortization
- Depreciation
- Intangibles
- Tangibles
- Global Industry Classification Standard (GICS)
- Industry Classification Benchmark (ICB)
- MSCI and S&P
- FTSE
Standardized unexpected earnings (SUE)

Momentum Oscillators
- Measures the rate-of-change of a security’s price
- Bound within a range
P/E-to-growth (PEG)
(P/E ratio) / Expected earnings growth rate
Residual income alternative names
- Abnormal earnings
- Discounted abnormal earnings model
- Edwards-Bell-Ohlson model
Economic valued added (EVA)
- = NOPAT - (C% x TC)
- C% = cost of capital
- TC = total capital = net working capital + net fixed assets OR book value of long-term debt + book value of equity
Market value added (MVA)
= market value of the company - accounting book value of total capital
Residual income model

Clean surplus relation


Residual income model using ROE

Constant growth of residual income
- g = long-term dividend growth rate
- Current book value often captures a large portion of the firm’s equity

Tobin’s q
Market value of debt and equity / Replacement cost of total assets
Multistage RI valuation
PT = Premium over book value

Multistage RI valuation where ROE fades over time
- ω = persistence factor, between 0 and 1
- 1 implies that RI will not fade
- 0 implies that RI will not persist

The 3 different valuation approaches
- Income
- Market
- Asset-based
WACC

Build-up method required rate
ri = Risk-free rate + Equity risk premium + Size premiumi + Specific company premiumi + Industry premiumi
Build-up method beta
The beta is assumed to be 0 and there might be an industry risk premium
Build-up method context
Usually applied to closely held companies where the beta is not readily available
Capitalized cash flow method - FCFF or FCFE with r - g (CCM)

3 market approach methods for private company valuation
- Guideline public company (GPCM) - Multiple of any trade size
- Guideline transaction (GTM) - Multiple of entire companies
- Prior transaction (PTM)
CEIC
Closed end investment company
- Discount for lack of control
- Discount for lack of marketability
- DLOC = 1 - [1 / (1 + control premium)]
- DLOM = discount in %
- Combined discount = 1 - (1 - DLOC) x (1 - DLOM)
Required rate of returns models and estimation issues
- Size premiums
- CAPM
- Expanded CAPM - premium for small size and company-specific risk
- Build up approach - beta of 1.0, industry risk premium
- Availability of debt
- Discount rate in an acquisition context - use the discount rate of the target
- Discount rate adjustment for projection risk
Strategic and financial investors
- Both will normalized salaries
- Only the strategic will consider the benefits of synergies
FCFE versus FCFF context
- If the company’s capital structure is relatively stable, using FCFE to value equity is more direct and simpler than using FCFF
- The FCFF model is often chosen for:
- A levered company with negative FCFE
- A levered company with a changing capital structure
Best approach to valuing a buyout
- FCFF because it takes a control perspective
- FCFE, trailing P/E and DDM take a minority perspective
- CAPM
- Expanded CAPM
- Build-up approach
- Rf + Beta (Equity risk premium)
- Rf + Beta (Equity risk premium) + Small stock premium + Company-specific risk
- Rf + Equity risk premium + Small stock premium + Company-specific risk + Industry risk premium
- Confidence risk
- Business cycle risk
- Represent the unexpected change in the difference between the return of risky corporate bonds and government bonds
- Represents the unexpected change in the level of real business activity
FCInv or Capex
Net cash spent to maintain fixed assets
Net Operating Assets
- Net Operating Assets = Operating Assets - Operating Liabilities
- Operating Assets = Total Assets - Cash & Investments
- Operating Liabilities = Total Liabilities - Long-term Debt(LTD) - Current Portion of LTD
Working capital
- Operating assets minus operating liabilities
- Receivables + inventories + prepaid expenses - payables and accrued expenses
- *Accrued taxes but not deferred taxes
DuPont decomposition

DuPont notation
- Tax burden is (Net income ÷ Pretax profit) or (NI/EBT)
- Interest burden is (Pretax income ÷ EBIT) or (EBT/EBIT)
- Operating profit margin or return on sales (ROS) is (EBIT /Sales)
- Asset turnover (ATO) is (Sales /Assets)
- Leverage ratio is (Assets/ Equity)
- Return on assets (ROA) is (Return on sales x Asset turnover)
The Fed model
The justified or fair-value P/E for the S&P 500 is the reciprocal of the 10-year T-bond yield
- P/E = 1 / (yield of the 10-year T-bond)
- Absolute valuation model
- Relative valuation model
- A model that specifies an asset’s intrinsic value
- A model that estimates an asset’s value relative to that of another asset
Pro forma
Used to describe a practice or document that is provided as a courtesy and/or satisfies minimum requirements
Adjusted beta for future value (Blume method)
Adjusted beta = (2/3)(Unadjusted beta) + (1/3)(1.0)
Justified P/E
Based on fundamentals
NI from EBIT and EBITDA
- = (EBIT – Int) (1 – Tax rate)
- = EBIT (1 – Tax rate) – Int (1 – Tax rate)
- = (EBITDA – Dep – Int) (1 – Tax rate)
- = EBITDA (1 – Tax rate) – Dep (1 – Tax rate) – Int (1 – Tax rate)
FCFF forecasting
FCFF is calculated by forecasting EBIT(1 − Tax rate) and subtracting incremental fixed capital expenditures and incremental working capital expenditures
Increase in FCInv and WCInv as a percentage of sales
- Increase in FCInv = (Capex − Depreciation expense) / Increase in sales
- Increase in WCInv = Increase in working capital / Increase in sales
Net borrowing using the target debt ratio DR
Net borrowing = DR (FCInv – Dep) + DR (WCInv)
FCFE using DR
- FCFE = NI – (FCInv – Dep) – WCInv + (DR) (FCInv – Dep) + (DR) (WCInv)
- FCFE = NI – (1 – DR) (FCInv – Dep) – (1 – DR) (WCInv)
FCFF with preferred dividends
FCFF = NI + NCC + Int (1−Tax rate) + Preferred dividends − FCInv − WCInv
Basic EPS

Diluted EPS using the if-converted method for preferred stock

Diluted EPS using the if-converted method for convertible debt

Diluted EPS using the treasury stock method

- Trailing dividend yield
- Leading dividend yield
- Generally calculated using the current dividend rate
- Calculated using the forecasted dividend per share for the next year
Harmonic mean

Weighted harmonic mean

Comprehensive income
Comprehensive income is the sum of net income and other items that must bypass the income statement because they have not been realized, including items like an unrealized holding gain or loss from available for sale securities and foreign currency translation gains or losses
Treynor ratio

M2

Jensen’s alpha

Growth capital
Growth capital (also called expansion capital and growth equity) is a type of private equity investment, usually a minority investment, in relatively mature companies that are looking for capital to expand or restructure operations, enter new markets or finance a significant acquisition without a change of control of the business
Finding the long-term growth rate using the dividend yield
- Replace D0 / P0 by the trailing dividend yield

Finding the value of a stock with decreasing earnings
- Use the Gordon growth model with a negative g
- V0 = D0 (1 + g) / (r - g)
High persistence factor
- Associated with low dividend payments
Low persistence factor
- Associated with significant levels of nonrecurring items
- Associated with high dividend payments
Violation of the clean surplus relation
- Occurs when items bypass the income statement and affect equity directly
- Ex.: Foreign currency gains and losses under the current rate method bypass the income statement and are reported under shareholders equity as currency translation adjustment
Forward-looking equity risk premium
= dividend yield + long-term EPS growth rate - long-term government bond yield
- Justified leading P/E
- Justified trailing P/E

Joint venture
Both IFRS and US GAAP require the equity method of accounting for joint venture
Forward-looking versus historical estimates
- Forward-looking models use current information and expectations concerning economic and financial variables (Gordon growth model)
- Historical estimates consist of the difference between the historical mean return for a broad-based equity market index and a risk-free rate over a given time period