Equity - Free Cash Flow Valuation Flashcards
Holding Period Return (HPR)
[(P1+CF1) / P0] - 1
Required Return = risk-free return + Beta*Equity Risk Premium
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Gordon Growth Model Equity Risk Premium
= (1-year forecasted dividend yield on market index) + (consensus LT earning growth rate) - (LT government bond yield)
= D1/P + g - RLT
Supply Side Equity Risk Premium (Macroeconomic Model). Example Ibbotson-Chen
Equity risk premium = [1+i][1+rEg][1+PEg] - 1 + Y - Rf
= [1+expected inflation][1+expected real growth in EPS][1+expected change in P/E ratio] - 1 + Expected yield - Expected risk-free return
Risk Premium = Factor Sensitivity * Factor risk premium
- Typically calculated for the macroeconomic models
Fama-French Macroeconomic model
= Rf + Betamkt(Rmkt-Rf) + Betasmb(Rsmall-Rbig) + Betahml*(Rhbm-Rlbm)
= Risk free rate + (Return on a value weighted market index-risk free rate) + (A small cap return premium equal to the average return on small cap portfolios - average return on large-cap portfolio) + (A value return premium equal to the average return on a high book-to-market portfolio - the average return on low book-to-market portfolios)
*baseline betas are all 0, except Betamkt = 1
Pastor-Stambaugh model vs Fama-French Model
Pastor Stambaugh model adds a liquidity factor to the Fama-French Model
Blume method
Adjusted Beta = 2/3*regressionBeta + 1/3
Betax,unlevered = Betax * [1/(1+Debt/Equity)] BetaA = Betax,unlevered * [1 + (DebtA/EquityA)]
Weight Average Cost of Capital
WACC = Md(1-t)rd + Me*re
Forecast COGS
=(Historical COGS / Revenue) * Estimate of future revenue
Projected Inventory
Forecasted COGS / Inventory turnover
Project A/R
=DSO * (forecasted sales/365)
Return on invested capital
ROIC = Net operating profit after tax / (operating assets - operating liabilities)
One Period Dividend Discount Model
V0 = (D1+P1) / (1+r)
Multi-period Dividend Discount Model
V0 = D1/(1+r) + D2/(1+r)^2 +…+Dn/(1+r)^n
Gordon Growth Model
= D0*(1+g) / (r-g) = D1 / (r -g)
Present Value of Growth Opportunities
V0 = PVGO + (E1/r)
Justified Leading P/E
P0/E1 = (D1/E1) / (r-g) = (1-b) / (r-g)
Justified Trailing P/E
P0/E0 = ([D0(1+g)]/E0) / (r-g) = [(1-b)(1+g)] / (r-g)
Value of perpetual shares
= Dp / rp
Two Stage DDM
{[D0 + (1+gs)^t]/(1+r)^t} + {[D0 (1+gs)^n(1+gl)]/[(1+r)^n*(r-gl)]}
H-Model
V0 = [D0(1-gl)]/(r-gl) + [D0H*(gs-gl)] / (r-gl)
Sustainable Growth Rate
= retention ratio (b) * ROE = g
ROE
= (net income/sales) * (sales/Total Assets) * (Total Assets / Shareholders Equity)
PRAT Model
SGR = P(profit margin) * R(retention ratio) * A(asset turnover) * T (financial leverage)
Bond Yield Model
Required return = YtM on LT bonds + risk premium
Country Spread Model
Accounts for FX rate risk by using the difference in bond yields
Country risk rating model
Begins with model of a developed country , the modifies the model with risk premiums from a developing country to derive a total emerging market risk premium
Unlevering Beta takes out the company-specific risk and isolates the market risk
…Relever nonpublic or thinly traded public entities
Liquidation Value
= current market value of assets - current market value of liabilities
Including the historical returns biases the equity risk premium upwards due to the survivorship bias
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Build up Method calculation for risk premium
required return = Rf + equity risk premium + size premium + specific company premium
Use build up method for closely held companies
Beta is the level of systematic risk
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Conditions if there exists economies of scale
1) Big Firm OM > Small Firm OM
2) COGS%/Revenue of Big Firm > COGS%/Revenue of smaller firm
3) SGA%/Revenue of Small Firm < SGA%/Revenue of Big Firm
Cash Tax Rate
Total Tax / Revenue