Let 𝑎 , 𝑏 ∈ 𝑅 3 be fixed, distinct vectors, and let 𝑥 : 𝑅 → 𝑅 3 be the function defined by 𝑥 ( 𝑡 ) = 𝑎 + sin ⁡ ( 𝑡 ) 𝑏 . Suppose a particle has position 𝑥 ( 𝑡 ) at time 𝑡 seconds. Which of the following best describes the motion of the particle? There is one correct answer.单项选择题

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Let a,b∈R3 be fixed, distinct vectors, and let x:R→R3 be the function defined by x(t)=a+sin(t)b. Suppose a particle has position x(t) at time t seconds. Which of the following best describes the motion of the particle? There is one correct answer.

For stock A, we have 𝛽 𝑖 = 0.70. Suppose the expected market risk premium next year is 9% and the risk-free rate is 3%. What is the expected return of this stock based on the CAPM? (Please answer in % and round to 2 decimal places. If the answer is 8.057%, then in the box, write 8.06)

Suppose a multifactor model has three factor risk premia: market = 6%, profitability = 3%, and investment = 2%. A stock has: 𝛽 𝑚 𝑎 𝑟 𝑘 𝑒 𝑡 = 1.1,                   𝛽 𝑝 𝑟 𝑜 𝑓 𝑖 𝑡 𝑎 𝑏 𝑖 𝑙 𝑖 𝑡 𝑦 = 0.5,                       𝛽 𝑖 𝑛 𝑣 𝑒 𝑠 𝑡 𝑚 𝑒 𝑛 𝑡  = -0.2, And the risk-free rate is 3%. What is the expected return? (Please answer in % and round to 2 decimal places. If the answer is 8.057%, then in the box, write 8.06)

 Suppose that the covariance between a stock and the market portfolio is 0.06 and that the standard deviation of the market portfolio is 0.30. Suppose also that the standard deviation of the stock’s returns is 0.55. Based on the CAPM, what is β of this stock? (Please answer as a number and round to 2 decimal places. If the answer is 0.768, then in the box, write 0.77)

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