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Homework answers / question archive / Use the following information to answer the question below: In the last 12 months: Risk profile: Growth firms returned 9
Use the following information to answer the question below: In the last 12 months: Risk profile: Growth firms returned 9.00% BHML = -0.30 Large stocks returned 13.00% BMKT = 0.80 Market returned 10.00% ß SMB = -0.90 Small stocks retumed 5.00% T-bill yielded 1.00% Value firms returned 4.00% What was the expected return on Boulevard, Inc. (TICKER: BLVD) over the last 12 months according to the Fama-French 3-Factor Model? 15.9095 3.3076 16.9095 8.2096 6.4096
As per Fama-French 3-Factor Model, there are three factors which can be used to explain the returns of a stock.
Below are the 3 factors:
Market risk premium: Market's premium over Risk-free rate
SMB or Small minus Big: Small companies' premium over large companies
HML or High minus Low: Value firms' premium over Growth firms
Beta with respect to market risk premium = 0.80 | Beta with respect to Small companies' premium over Large companies = -0.90
Beta with respect to Value firms' premium over growth firms = -0.30
Let's find each premium one by one.
Market Risk Premium = Market return - Risk-free rate
Market return = 10% | T-bills return = 1%
Market risk premium = 10% - 1% = 9%
Small companies' premium over Large companies = Small companies returns - Large companies returns
Small stocks returns = 5% | Large stocks returns = 13%
Small companies' premium over Large companies = 5% - 13% = -8%
Value firms' premium over Growth firms = Value firms returns - Growth firms returns
Value firms returns = 4% | Growth firms returns = 9%
Value firms' premium over Growth firms = 4% - 9% = -5%
Expected Return of a security as per Fama-French model = Risk-free rate + BetaMKT * Market risk premium + BetaSmall-Big * Small companies' premium over Large companies + BetaHigh-Low * Value firms' premium over Growth firms
Putting values calculated in the equation
Expected return on Boulevard, Inc = 1% + 0.80 * 9% + (-0.90)*(-8%) + (-0.30)*(-5%)
Expected return on Boulevard, Inc = 1% + 7.2% + 7.2% + 1.5%
Expected return on Boulevard, Inc over 12 months = 16.90%
Hence, Expected return on Boulevard, Inc over 12 months is 16.90% which is the 3rd Option among the given choices.