geometric mean of U.S. weighted index

简明释义

以美国为权数的几何平均指数

英英释义

例句

1.To compare different investment strategies, we need to analyze the geometric mean of U.S. weighted index over several years.

为了比较不同的投资策略，我们需要分析美国加权指数的几何平均数多年数据。

2.The analyst calculated the geometric mean of U.S. weighted index to assess the overall market performance over the past decade.

分析师计算了美国加权指数的几何平均数以评估过去十年整体市场表现。

3.Investors often look at the geometric mean of U.S. weighted index to make informed decisions about their portfolios.

投资者通常查看美国加权指数的几何平均数以做出明智的投资组合决策。

4.During the financial report, the CEO highlighted the growth in the geometric mean of U.S. weighted index as a positive sign for investors.

在财务报告中，首席执行官强调了美国加权指数的几何平均数的增长，这对投资者来说是一个积极的信号。

5.The geometric mean of U.S. weighted index provides a more accurate reflection of the average returns compared to the arithmetic mean.

与算术平均数相比，美国加权指数的几何平均数提供了更准确的平均回报反映。

作文

In the realm of finance and economics, various metrics are used to analyze market performance and investment returns. One such metric that has gained significant attention is the geometric mean of U.S. weighted index. This term refers to a specific calculation that helps investors understand the average performance of a set of investments while considering their proportional weight within a larger index. The geometric mean of U.S. weighted index is especially useful in contexts where the returns on investments can vary widely over time, as it provides a more accurate representation of the overall performance than the arithmetic mean would.To comprehend the importance of the geometric mean of U.S. weighted index, it is essential to first understand what a weighted index is. A weighted index is an index in which individual components contribute to the total based on their market capitalization or another relevant factor. For instance, in a stock market index like the S&P 500, larger companies have a more significant impact on the index's performance compared to smaller companies. This weighting reflects the reality of the market, where larger companies often dominate trading volumes and investor interest.Calculating the geometric mean of U.S. weighted index involves taking the product of the returns of each component in the index, raised to the power of their respective weights, and then taking the nth root of this product, where n is the total number of components. This method effectively dampens the effect of extreme values, making it particularly valuable in volatile markets where some stocks may perform exceptionally well while others lag behind.For example, consider a hypothetical index composed of three stocks with the following returns: Stock A has a return of 10%, Stock B has a return of -5%, and Stock C has a return of 20%. If Stock A represents 50% of the index, Stock B 30%, and Stock C 20%, the geometric mean of U.S. weighted index would be calculated by multiplying the returns together, adjusting for their weights, and then finding the geometric mean. This calculation would yield a more tempered view of the index's performance compared to simply averaging the returns, which could be skewed by the negative return of Stock B.The significance of using the geometric mean of U.S. weighted index extends beyond mere calculations. It plays a crucial role in investment strategies, portfolio management, and risk assessment. Investors who rely on this metric can make more informed decisions about where to allocate their resources, as it reflects a more realistic picture of potential returns. Furthermore, financial analysts often use the geometric mean of U.S. weighted index when comparing different investment options, ensuring that they account for both performance and risk.In conclusion, the geometric mean of U.S. weighted index is a vital tool in the financial world that aids investors in understanding the true performance of their investments. By incorporating the concept of weighting, it offers a clearer view of how individual components contribute to overall market performance. As markets continue to evolve and investor needs grow more complex, the significance of metrics like the geometric mean of U.S. weighted index will only increase, highlighting the necessity for robust analytical tools in making sound investment decisions.

在金融和经济领域，各种指标被用来分析市场表现和投资回报。其中一个受到广泛关注的指标是美国加权指数的几何平均数。这个术语指的是一种特定的计算方法，帮助投资者理解一组投资的平均表现，同时考虑它们在更大指数中的相对权重。美国加权指数的几何平均数在投资回报可能随时间变化很大的情况下尤其有用，因为它提供了比算术平均数更准确的整体表现代表。要理解美国加权指数的几何平均数的重要性，首先需要了解什么是加权指数。加权指数是一种指数，其中各个组成部分根据市值或其他相关因素对总量的贡献程度进行加权。例如，在像标准普尔500这样的股票市场指数中，大公司对指数表现的影响大于小公司。这种加权反映了市场的现实，即大公司往往主导交易量和投资者兴趣。计算美国加权指数的几何平均数涉及将指数中每个组成部分的回报相乘，按其权重进行调整，然后取这个乘积的n次方根，其中n是组成部分的总数。这种方法有效地减弱了极端值的影响，使其在波动市场中特别有价值，因为一些股票可能表现得非常好，而另一些则滞后。例如，考虑一个假设的指数，由三只股票组成，其回报如下：股票A的回报为10%，股票B的回报为-5%，股票C的回报为20%。如果股票A占指数的50%，股票B占30%，股票C占20%，那么美国加权指数的几何平均数将通过将回报相乘、调整权重，然后找到几何平均数来计算。这种计算将提供一个更温和的指数表现视图，而不是简单地平均回报，因为这可能会因股票B的负回报而偏斜。使用美国加权指数的几何平均数的意义超越了单纯的计算。它在投资策略、投资组合管理和风险评估中发挥着至关重要的作用。依赖这一指标的投资者可以对资源的配置做出更明智的决策，因为它反映了潜在回报的更现实的图景。此外，金融分析师通常在比较不同投资选择时使用美国加权指数的几何平均数，确保他们考虑到表现和风险。总之，美国加权指数的几何平均数是金融世界中的一个重要工具，帮助投资者理解他们投资的真实表现。通过结合加权的概念，它提供了个别组成部分如何对整体市场表现做出贡献的更清晰的视图。随着市场的不断发展和投资者需求的日益复杂，像美国加权指数的几何平均数这样的指标的重要性只会增加，突显出在做出明智投资决策时对强大分析工具的必要性。