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MeiQ · 2018年02月12日

问一道题:NO.PZ2016062402000022 [ FRM I ]

问题如下图:

请问解答里的R squared 公式怎么算?问一道题:NO.PZ2016062402000022 [ FRM I ]

选项:

A.

B.

C.

D.

解释:

1 个答案

源_品职助教 · 2018年02月13日

同学,你看下下图的推导。


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NO.PZ2016062402000022问题如下 A portfolio manager is interestein the systematic risk of a stoportfolio, so he estimates the lineregression: RPt−RF=αP+βP[RMt−RF]+εPtR_{Pt}-R_F=\alpha_P+\beta_P{\lbraR_{Mt}-R_F\rbrack}+\varepsilon_{Pt}RPt​−RF​=αP​+βP​[RMt​−RF​]+εPt​,where RPtR_{Pt}RPt​ is the return of the portfolio time t, RMtR_{Mt}RMt​ is the return of the market portfolio time t, anRFR_FRF​ is the risk-free rate, whiis constant over time. Suppose thα = 0.008, β = 0.977, σ(RP)\sigma{(R_P)}σ(RP​) = 0.167, anσ(RM)\sigma{(R_M)}σ(RM​) = 0.156.Whis the approximate coefficient of termination in this regression? 0.913 0.834 0.977 0.955 the R-squareis given β2σM2σP2=0.9772×0.15620.1672=0.83\frac{\beta^2\sigma_M^2}{\sigma_P^2}=0.977^2\times\frac{0.156^2}{0.167^2}=0.83σP2​β2σM2​​=0.9772×0.16720.1562​=0.83 决策系数怎么就是拟合优度了?

2023-03-21 11:10 1 · 回答

NO.PZ2016062402000022问题如下 A portfolio manager is interestein the systematic risk of a stoportfolio, so he estimates the lineregression: RPt−RF=αP+βP[RMt−RF]+εPtR_{Pt}-R_F=\alpha_P+\beta_P{\lbraR_{Mt}-R_F\rbrack}+\varepsilon_{Pt}RPt​−RF​=αP​+βP​[RMt​−RF​]+εPt​,where RPtR_{Pt}RPt​ is the return of the portfolio time t, RMtR_{Mt}RMt​ is the return of the market portfolio time t, anRFR_FRF​ is the risk-free rate, whiis constant over time. Suppose thα = 0.008, β = 0.977, σ(RP)\sigma{(R_P)}σ(RP​) = 0.167, anσ(RM)\sigma{(R_M)}σ(RM​) = 0.156.Whis the approximate coefficient of termination in this regression? 0.913 0.834 0.977 0.955 the R-squareis given β2σM2σP2=0.9772×0.15620.1672=0.83\frac{\beta^2\sigma_M^2}{\sigma_P^2}=0.977^2\times\frac{0.156^2}{0.167^2}=0.83σP2​β2σM2​​=0.9772×0.16720.1562​=0.83 请问这个公式源自哪里

2022-11-17 15:57 1 · 回答

NO.PZ2016062402000022 0.834 0.977 0.955 the R-squareis given β2σM2σP2=0.9772×0.15620.1672=0.83\frac{\beta^2\sigma_M^2}{\sigma_P^2}=0.977^2\times\frac{0.156^2}{0.167^2}=0.83σP2​β2σM2​​=0.9772×0.16720.1562​=0.83 老师,R-square的英文表述是coefficient  of termination,那r(xy)呢?

2022-03-29 07:58 1 · 回答

NO.PZ2016062402000022 0.834 0.977 0.955 the R-squareis given β2σM2σP2=0.9772×0.15620.1672=0.83\frac{\beta^2\sigma_M^2}{\sigma_P^2}=0.977^2\times\frac{0.156^2}{0.167^2}=0.83σP2​β2σM2​​=0.9772×0.16720.1562​=0.83 p是coefficient 那coefficient termination就代表p的平方吗

2022-01-16 13:42 1 · 回答

NO.PZ2016062402000022 0.834 0.977 0.955 the R-squareis given β2σM2σP2=0.9772×0.15620.1672=0.83\frac{\beta^2\sigma_M^2}{\sigma_P^2}=0.977^2\times\frac{0.156^2}{0.167^2}=0.83σP2​β2σM2​​=0.9772×0.16720.1562​=0.83 请问这个题目用的公式在讲义那页?

2021-08-22 14:21 1 · 回答