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You manage an equity fund with an expected risk premium of 12.4% and a standard deviation of 38%. The rate on Treasury bills is 5.4%. Your client chooses to invest $120,000 of her portfolio in your equity fund and $80,000 in a T-bill money market fund. What is the expected return and standard deviation of return on your client’s portfolio? (Round your answers to 2 decimal places.)

Respuesta :

bhuvna789456
  • The expected return = = 12.84 %.
  • The standard deviation = 22.8 %.

Explanation:

On the client's portfolio (total investment = 120 K + 80 K = 200 K,  

  • The expected return

                    = (12.4 %risk premium + 5.4 %risk free return) [tex]\times[/tex] (120 K / 200 K) + 5.4 % [tex]\times[/tex] (80 K / 200 K)

                    = 17.8 % [tex]\times[/tex] 0.6 + 5.4 % [tex]\times[/tex] 0.4

                    = 12.84 %.

  • The standard deviation would be = 38 % [tex]\times[/tex] 0.6 + 0% [tex]\times[/tex] 0.4

                                                                  = 22.8 %.

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