OPEN-SOURCE SCRIPT
Fama-French 3 Factor Model
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Fama-French 3 Factor Model
Extension of the Capital Asset Pricing Model (CAPM)
CAPM
Ra = Rfr + [βa * (Rm - Rfr)]
where,
Ra = Return of the Asset
Rfr = Risk-Free Rate
βa = Beta Coefficient of the Asset
Rm - Rfr = Market Risk Premium
Fama-French 3 Factor
r = rf + β1*(rm - rf) + β2(smh) +β3(hml)
r = Expected rate of return
rf = Risk-free rate
ß = Factor’s coefficient (sensitivity)
(rm – rf) = Market risk premium
SMB (Small Minus Big) = Historic excess returns of small-cap companies over large-cap companies
HML (High Minus Low) = Historic excess returns of value stocks (high book-to-price ratio) over growth stocks (low book-to-price ratio)
Small is set to EEWSC
Invesco S&P SmallCap 600® Equal Weight ETF
Big is set to EQLW
Invesco S&P 100 Equal Weight ETF
High is set to
IUSV
iShares Core S&P US Value ETF
Low is set toIUSG
iShares Core S&P US Growth ETF
returns selections
'returns'
'logarithmic returns' (use for realized (historical) returns)
'geometric returns' (compounded returns)
risk-free rate selections:
DTB3
DGS2
DGS5
DGS10
DGS30
tf = primary time-frame
rtf = reference time-frame
Extension of the Capital Asset Pricing Model (CAPM)
CAPM
Ra = Rfr + [βa * (Rm - Rfr)]
where,
Ra = Return of the Asset
Rfr = Risk-Free Rate
βa = Beta Coefficient of the Asset
Rm - Rfr = Market Risk Premium
Fama-French 3 Factor
r = rf + β1*(rm - rf) + β2(smh) +β3(hml)
r = Expected rate of return
rf = Risk-free rate
ß = Factor’s coefficient (sensitivity)
(rm – rf) = Market risk premium
SMB (Small Minus Big) = Historic excess returns of small-cap companies over large-cap companies
HML (High Minus Low) = Historic excess returns of value stocks (high book-to-price ratio) over growth stocks (low book-to-price ratio)
Small is set to EEWSC
Invesco S&P SmallCap 600® Equal Weight ETF
Big is set to EQLW
Invesco S&P 100 Equal Weight ETF
High is set to
IUSViShares Core S&P US Value ETF
Low is set to
IUSGiShares Core S&P US Growth ETF
returns selections
'returns'
'logarithmic returns' (use for realized (historical) returns)
'geometric returns' (compounded returns)
risk-free rate selections:
DTB3DGS2DGS5DGS10DGS30tf = primary time-frame
rtf = reference time-frame
Notes de version
// log-returns set as defaultNotes de version
//plotting changehline scale:
ln = natural logarithm
ln (3)
ln (9)
ln (27)
ln (81)
ln (248)
Script open-source
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