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二狗 · 2024年10月19日

不太理解

* 问题详情,请 查看题干

NO.PZ202306130100003402

问题如下:

Doug Abitbol is a portfolio manager for Polyi Investments, a hedge fund that trades in the United States. Abitbol manages the hedge fund with the help of Robert Olabudo, a junior portfolio manager.

Abitbol looks at economists’ inflation forecasts and would like to examine the relationship between the US Consumer Price Index (US CPI) consensus forecast and the actual US CPI using regression analysis. Olabudo estimates regression coefficients to test whether the consensus forecast is unbiased. If the consensus forecasts are unbiased, the intercept should be 0.0 and the slope will be equal to 1.0. Regression results are presented in Exhibit 1. Additionally, Olabudo calculates the 95 percent prediction interval of the actual CPI using a US CPI consensus forecast of 2.8.


Finally, Abitbol and Olabudo discuss the forecast and forecast interval:

■ Observation 1. For a given confidence level, the forecast interval is the same no matter the US CPI consensus forecast.

■ Observation 2. A larger standard error of the estimate will result in a wider confidence interval.


Based on Exhibit 1, Olabudo should calculate a prediction interval for the actual

US CPI closest to:

选项:

A.

2.7506 to 2.7544.

B.

2.7521 to 2.7529.

C.

2.7981 to 2.8019.

解释:

A is correct. The forecast interval for inflation is calculated in three steps:

Step 1. Make the prediction given the US CPI forecast of 2.8:


Step 2. Compute the variance of the prediction error:


US CPI consensus forecast 是 2.8,下面的mean of US CPI consensus forecast 是1.335,这两个分别是什么意思?为什么相差这么多?

1 个答案

品职助教_七七 · 2024年10月19日

嗨,从没放弃的小努力你好:


计算Y估计量的置信区间公式如下:

其中,Sf公式里的Xf为X的预测值,即本题中的US CPI consensus forecast;X bar为数据中X的均值,即本题中的mean of US CPI consensus forecast 。Xf的值只需要不极度夸张的偏离均值即可。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!