为什么✖️更号252

NO.PZ2016062402000047

问题如下：

A risk manager estimates daily variance $h_t$ using a GARCH model on daily return $r_t:h_t=\alpha_0\;+\alpha_1r_{t-1}^2+\beta h_{t-1},\;with\;\alpha_0=0.005,\alpha_1\;=0.04,\beta=0.94$ .

The long-run annualized volatility is approximately

选项：

13.54%

7.94%

72.72%

25.00%

解释：

The long-run mean variance is $h=\frac{\alpha_0}{1-\alpha_1-\beta}=\frac{0.005}{1-0.04-0.94}=0.25$ . Taking the square root, this gives 0.5 for daily volatility. Multiplying by $\sqrt{252}$ , we have an annualized volatility of 7.937%.

求出来是daily,但是我不理解为什么✖️更号下252。为什么加更号

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1 个答案

品职答疑小助手雍 · 2022年01月24日

同学你好，算出来的是daily，但是答案求的是年度的波动性，根据平方根法则，同时假设一年有252个交易日，那年度的波动率就等于日波动率乘以根号下252.

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NO.PZ2016062402000047问题如下A risk manager estimates ily varianhth_tht using a GARmol on ily return rt:ht=α0 +α1rt−12+βht−1, with α0=0.005,α1 =0.04,β=0.94r_t:h_t=\alpha_0\;+\alpha_1r_{t-1}^2+\beta h_{t-1},\;with\;\alpha_0=0.005,\alpha_1\;=0.04,\beta=0.94rt:ht=α0+α1rt−12+βht−1,withα0=0.005,α1=0.04,β=0.94.The long-run annualizevolatility is approximately 13.54% 7.94% 72.72% 25.00% The long-run mevarianis h=α01−α1−β=0.0051−0.04−0.94=0.25h=\frac{\alpha_0}{1-\alpha_1-\beta}=\frac{0.005}{1-0.04-0.94}=0.25h=1−α1−βα0=1−0.04−0.940.005=0.25. Taking the square root, this gives 0.5 for ily volatility. Multiplying 252\sqrt{252}252, we have annualizevolatility of 7.937%.老师，我不理解为什么算出来的VL=025，也要开根号

2022-03-31 18:23 1 · 回答

7.94% 72.72% 25.00% The long-run mevarianis h=α01−α1−β=0.0051−0.04−0.94=0.25h=\frac{\alpha_0}{1-\alpha_1-\beta}=\frac{0.005}{1-0.04-0.94}=0.25h=1−α1−βα0=1−0.04−0.940.005=0.25. Taking the square root, this gives 0.5 for ily volatility. Multiplying 252\sqrt{252}252 , we have annualizevolatility of 7.937%.老师可以讲下这个题目和知识点吗

2020-10-11 18:35 2 · 回答

2020-03-03 10:30 1 · 回答

计算时，为啥r t-1和ht-1都变为1了？

2019-11-14 14:38 2 · 回答

为什么✖️更号252

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