白同学2023-01-21 03:00:01
老师这个题为什么用∑w(1+Rfc)(1+Rfx)-1的那个公式算总收益啊,两个好像算出来的结果是不一样的。
回答(1)
开开2023-01-25 01:25:39
同学你好,
foreign currency对B同学账户total return的贡献应该包括R_FX和后面的交叉项R_FC*R_FX
账户的total return R_DC = (1+R_FC) (1+R_FX)-1=R_FC+R_FX+R_FC*R_FX,为7%
此处因为B的组合有三种货币,其中欧元和日元是外币。我们可以计算出加权平均的R_FC和R_FX
R_FC = (0.50 × 10.0%) + (0.25 × 5.0%) + [0.25 × (–3.0%)] = 5.5%.
R_FX = (0.50 × 0.0%) + (0.25 × 2.0%) + (0.25 × 4.0%) = 1.5%
R_FC*R_FX = [0.50 × (10.0% × 0.0%)] + [0.25 × (5.0% × 2.0%)] + [0.25 × (–3.0% × 4.0%)] = –0.005%,
因此,foreign currency 对total return(7%)的贡献 = R_FX +R_FC*R_FX =1.5% -0.005%=1.495%,约等于1.5%.
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