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A sample of 240 managed portfolios has a mean annual return of 0.11 and a standard deviation of returns of 0.23. The standard error of the sample mean is closest to:

A. 0.01485.

B. 0.00096.

C. 0.00710.

解析:選A。樣本標準誤 = 總體標準差 / 樣本量的平方根 = 0.23 / (240)^0.5 = 0.01485


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A fund manager would like to estimate the probability of a daily loss higher than 5% on the fund he manages. He decides to use a method that uses the relative frequency of occurrence based on historical data. The resulting probability is best described as a(n):


A. subjective probability.

B. a priori probability.

C. empirical probability.

解析:選C。要區分幾種概率的定義:

經驗概率(empirical probability):根據歷史數據來估計

先驗概率(priori probability):通過對問題的推理來推斷出概率

其中,經驗概率與先驗概率屬于客觀概率(objective probabilities)

主觀概率(subjective probability):基于個人或主觀判斷

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