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13675759099 · 2024年05月14日

为什么不是C

* 问题详情,请 查看题干

NO.PZ202207040100000801

问题如下:

Using Exhibit 1, the average monthly return of the Fraser Fund that is unexplained by rewarded factors is closest to:

选项:

A.–0.20%. B.–0.17%. C.0.13%.

解释:

Solution

A is correct. Return from unrewarded factors = Actual monthly performance – Return from rewarded factors.“Alpha” = RA – ∑βpkFkwhere

RA = Actual portfolio performance

βpk = The sensitivity of the portfolio (p) to each rewarded factor (k)

Fk = The return for each rewarded factor

Return from rewarded factors = (0.91 × 0.61%) + (0.15 × 0.17%) + (0.60 × 0.18%) + (0.08 × 0.72%) = 0.75%.

“Alpha” = Return from unrewarded factors = 0.55% – 0.75% = –0.20%.

B is incorrect. This is the “active return”: Actual – Benchmark = 0.55% – 0.72% = –0.17%.

C is incorrect. This adds the risk-free return back to the rewarded factor return = 0.33% – 0.20% = 0.13%.

Actual monthly performance为什么不用0.55%加回risk-free rate?加回才是monthly performance啊,这样答案就是C


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已采纳答案

笛子_品职助教 · 2024年05月15日

嗨,努力学习的PZer你好:


Hello,亲爱的同学~


我们看题目给的表格:


同学要理解这里的因子系数是怎么计算的。

例如market 的系数,在Fraser fund里是0.91。

0.91是一个回归系数,它是把market 、size、value、momentum的收益率,与Fraser fund的performace in excess of the risk free做回归。

在market因子这一项,算出来的回归系数是0.91。

既然是与扣除risk free后的return做的回归。

那么,Return from rewarded factors(可以用rewarded解释的) + unexplained by rewarded factor(不能用rewarded解释的),就等于performace in excess of the risk free。

无需再加回risk free。

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就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

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