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Neil, Ruth, and Sonia run mutual funds

Finance

Neil, Ruth, and Sonia run mutual funds. The expected return on Neil's portfolio is 12%, the expected return on Ruth's portfolio is 6%, and the expected return on Sonia's portfolio is 18%. The risk-free rate is 3%, the market risk premium is 6%, and the risk premium on the financial intermediary (FIN) risk factor is 8%. Two-factor model estimates Portfolio Market Beta FIN Beta Neil 1.2 0.8 Ruth 0.5 -1.0 Sonia 1.0 1.5 According to the two-factor model, what is the expected return on a portfolio invested 50% in Ruth's portfolio and 50% in Sonia's portfolio? O 11.6% 21.0% O 15.2% O 9.5% O 18.8%

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market beta = 0.5*(0.5 + 1) = 0.75

Fin beta = 0.5(-1 + 1.5) = 0.25

required return = 3% + 0.75*6% + 0.25*8% = 9.5%