## Unweighted aggregate price index example

An unweighted index is comprised of securities with equal weight within the index. An equivalent dollar amount is invested in each of the index components. For an unweighted stock index, one stock's performance will not have a dramatic effect on the performance of the index as a whole. If we wanted to create an unweighted index of the price performance of these five companies, we might average their stock prices and call it a day (i.e., we would calculate the average as $8.60). However, this unweighted average doesn’t take into account the issuers’ actual sizes or the number of shares outstanding (in other words, without reflecting the issuers’ true heft in the economy ). Simple Aggregate Price Index. The method in which sum of prices of all the commodities in the current period is divided by the total prices in the base period is called unweighted aggregate index. Since simple aggregate index does not give relative importance to the commodities therefore it is neither meaningful nor representative index. The ratio of the sum of weighted prices of current and base time periods multiplied by 100 is called weighted aggregate price index. This index is calculated after allocating weights to each commodity on the basis of their relative importance. Weights of these commodities are then multiplied by the prices of base and current time periods. The following are the prices of four different commodities for $$1990$$ and$$1991$$. Compute a price index with the (1) simple aggregative method and (2) average of price relative method by using both the arithmetic mean and geometric mean, taking $$1990$$ as the base.

## Weighted aggregate price indices An unweighted aggregate price index has two major limitations 1. by placing equal weights on all commodities in the market basket, it is implied that each commodity is equally important => expensive commodities per unit will have dominate the index 2. because not all the commodities are consumed at the same

In a price-weighted index, stocks with higher prices receive a greater weight in the index, regardless of the issuing company's actual size or the number of shares outstanding. Accordingly, if one of the higher-priced stocks (Company D, in our example) has a huge price increase, the index is more likely to increase even if the other stocks in the index decline in value at the same time. In an unweighted index, all stocks have the same impact on the index, no matter their share volume or price. Any price change in the index is based on the return percentage of each component. For example, if Stock A is up 30%, Stock B is up 20%, and Stock C is up 10%, the index is up 20%, or (30 + 20 + 10)/3 (i.e., Start studying Chapter 5 UPDATED. Learn vocabulary, terms, and more with flashcards, games, and other study tools. To determine factors influencing aggregate security price movements Price-weighted index. Unweighted index. Value-weighted index. All of the above None of the above. For example, if a stock goes from $100 to $110, it will move the index more than a stock that goes from $20 to $30, even though the percentage move is greater for the lower priced stock that went from $20 to $30 because the price is higher. UNWEIGHTED PRICE INDEXES. The two most commonly used formulas for computing price indexes are the aggregate formula and the average of relatives formula. Each of these for mauls may involve an weighted or a weighted type of calculation. In this section we consider the unweighted versions of price index formulas. For example, let's assume that the following companies are in the XYZ price-weighted index: A price-weighted index is simply the sum of the members' stock prices divided by the number of members. Thus, in our example, the XYZ index is: $5 + $7 + $10 + $20 + $1 = $43 / 5 = 8.6. The ratio of these two sums, multiplied by 100, is called a weighted aggregate price index. Additionally, when the fixed weights are base period weights, the index is called a Laspeyres index. In Table 17.4, ‘LPlqo = 11,430 and ‘LPoqo = 10,875.

### For example, let's assume that the following companies are in the XYZ price-weighted index: A price-weighted index is simply the sum of the members' stock prices divided by the number of members. Thus, in our example, the XYZ index is: $5 + $7 + $10 + $20 + $1 = $43 / 5 = 8.6.

Empirical Examples. 11. Handbook on Residential Property Prices Indices ( RPPIs) methods that can be used to aggregate regional house price indices into overall of the price. For example, the regression for the unweighted repeat sales.

### Refer to Exhibit 17-2. The unweighted aggregate price index for 2010 is a. 80 b. 125 c. 1.25 d. 0.80

Calculation of Unweighted Index Number by Average of Relative Method - Duration: 9:40. Sabaq Foundation - Free Videos & Tests, Grades K-12 1,851 views Say there are three stocks in our unweighted index example: ABC, XYX, and MNO. Regardless of how many shares you have of each stock or the actual trading price, you look at the percentage of price movement. So if ABC is up 50% and XYZ is up 10% and MNO is up 15%, the index is up 25% = (50+10+15) / 3 (the number of stocks in the index). In a price-weighted index, stocks with higher prices receive a greater weight in the index, regardless of the issuing company's actual size or the number of shares outstanding. Accordingly, if one of the higher-priced stocks (Company D, in our example) has a huge price increase, the index is more likely to increase even if the other stocks in the index decline in value at the same time. In an unweighted index, all stocks have the same impact on the index, no matter their share volume or price. Any price change in the index is based on the return percentage of each component. For example, if Stock A is up 30%, Stock B is up 20%, and Stock C is up 10%, the index is up 20%, or (30 + 20 + 10)/3 (i.e., Start studying Chapter 5 UPDATED. Learn vocabulary, terms, and more with flashcards, games, and other study tools. To determine factors influencing aggregate security price movements Price-weighted index. Unweighted index. Value-weighted index. All of the above None of the above. For example, if a stock goes from $100 to $110, it will move the index more than a stock that goes from $20 to $30, even though the percentage move is greater for the lower priced stock that went from $20 to $30 because the price is higher. UNWEIGHTED PRICE INDEXES. The two most commonly used formulas for computing price indexes are the aggregate formula and the average of relatives formula. Each of these for mauls may involve an weighted or a weighted type of calculation. In this section we consider the unweighted versions of price index formulas.

## 14 Unweighted total expenses were 18.8% higher in 2004 than in 2001 50 50 410 118.8 Unweighted Aggregate Price Index: Example 118.8 (100) 345 410

The Laspeyres Price Index is a consumer price index used to measure the change in the prices of a basket of goods and services relative to a specified base The simplest way of calculating an aggregate price index is to calculate an unweighted aggregate index. An unweighted aggregate index is found by simply price indices are averaged to obtain higher-level in- aggregates and their price indices are the basic building The sample (unweighted) Carli index provides. Unweighted Index Numbers (ii) Paa5ches Method: Under this method of calculating Price Index the quantities of the current year are used as (ii) Calculate the product of p 0 and q 1of different commodities and aggregate them S(p 0q 1). Finally, an overall price index is to calculate elementary aggregate price

UNWEIGHTED PRICE INDEXES. The two most commonly used formulas for computing price indexes are the aggregate formula and the average of relatives formula. Each of these for mauls may involve an weighted or a weighted type of calculation. In this section we consider the unweighted versions of price index formulas. For example, let's assume that the following companies are in the XYZ price-weighted index: A price-weighted index is simply the sum of the members' stock prices divided by the number of members. Thus, in our example, the XYZ index is: $5 + $7 + $10 + $20 + $1 = $43 / 5 = 8.6. The ratio of these two sums, multiplied by 100, is called a weighted aggregate price index. Additionally, when the fixed weights are base period weights, the index is called a Laspeyres index. In Table 17.4, ‘LPlqo = 11,430 and ‘LPoqo = 10,875. Weighted aggregate price indices An unweighted aggregate price index has two major limitations 1. by placing equal weights on all commodities in the market basket, it is implied that each commodity is equally important => expensive commodities per unit will have dominate the index 2. because not all the commodities are consumed at the same Example: Compute the weighted aggregative price index numbers for $$1981$$ with $$1980$$ as the base year using (1) Laspeyre’s Index Number (2) Paashe’s Index Number (3) Fisher’s Ideal Index Number (4) Marshal-Edgeworth Index Number.