Laspeyres Price Index Calculator

✖Price in Final Period refers to the value of an asset or investment at the end of a specified period.ⓘ Price in Final Period [Pi^F]			+10% -10%
✖Quantity in Base Period refers to the quantity of goods, services, or assets measured at a specific base period for comparison purposes.ⓘ Quantity in Base Period [Qi^B]			+10% -10%
✖Price in Base Period refers to the present value or initial price of an asset or investment at the beginning of a financial analysis or investment period.ⓘ Price in Base Period [Pi^B]			+10% -10%

✖Laspeyres Price Index is a measure used in economics to calculate the average change in the price of a fixed basket of goods and services between two periods.ⓘ Laspeyres Price Index [LPI]

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Formula

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Laspeyres Price Index

Formula

`"LPI" = ((sum(x,1,2,("Pi"^{"F"}*"Qi"^{"B"})))/(sum(x,1,2,("Pi"^{"B"}*"Qi"^{"B"}))))*100`

Example

`"333.3333"=((sum(x,1,2,("50"*"60")))/(sum(x,1,2,("15"*"60"))))*100`

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Laspeyres Price Index Solution

STEP 0: Pre-Calculation Summary

Formula Used

Laspeyres Price Index = ((sum(x,1,2,(Price in Final Period*Quantity in Base Period)))/(sum(x,1,2,(Price in Base Period*Quantity in Base Period))))*100
LPI = ((sum(x,1,2,(Pi^F*Qi^B)))/(sum(x,1,2,(Pi^B*Qi^B))))*100
This formula uses 1 Functions, 4 Variables

Functions Used

sum - Summation or sigma (∑) notation is a method used to write out a long sum in a concise way., sum(i, from, to, expr)

Variables Used

Laspeyres Price Index - Laspeyres Price Index is a measure used in economics to calculate the average change in the price of a fixed basket of goods and services between two periods.
Price in Final Period - Price in Final Period refers to the value of an asset or investment at the end of a specified period.
Quantity in Base Period - Quantity in Base Period refers to the quantity of goods, services, or assets measured at a specific base period for comparison purposes.
Price in Base Period - Price in Base Period refers to the present value or initial price of an asset or investment at the beginning of a financial analysis or investment period.

STEP 1: Convert Input(s) to Base Unit

Price in Final Period: 50 --> No Conversion Required
Quantity in Base Period: 60 --> No Conversion Required
Price in Base Period: 15 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

LPI = ((sum(x,1,2,(Pi^F*Qi^B)))/(sum(x,1,2,(Pi^B*Qi^B))))*100 --> ((sum(x,1,2,(50*60)))/(sum(x,1,2,(15*60))))*100

Evaluating ... ...

LPI = 333.333333333333

STEP 3: Convert Result to Output's Unit

333.333333333333 --> No Conversion Required

FINAL ANSWER

333.333333333333 ≈ 333.3333 <-- Laspeyres Price Index

(Calculation completed in 00.004 seconds)

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BMS College of Engineering (BMSCE), Bangalore

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Float-Adjusted Market Capitalisation Index

Go Float Adjusted Market Capitalisation = (Fraction of Shares Outstanding*Number of Shares Outstanding of Security*Price of the Security)/(sum(x,1,Number of Securities in the Index,(Fraction of Shares Outstanding*Number of Shares Outstanding of Security*Price of the Security)))

Market Capitalization Index

Go Market Capitalization = (Number of Shares Outstanding of Security*Price of the Security)/(sum(x,0,Number of Securities in the Index,(Number of Shares Outstanding of Security*Price of the Security)))

Laspeyres Price Index

Go Laspeyres Price Index = ((sum(x,1,2,(Price in Final Period*Quantity in Base Period)))/(sum(x,1,2,(Price in Base Period*Quantity in Base Period))))*100

Paasche Price Index

Go Paasche Price Index = ((sum(x,1,3,(Price in Final Period*Quantity in Final Period)))/(sum(x,1,3,(Price in Base Period*Quantity in Final Period))))*100

Altman's Z Score Model

Go Zeta Value = 1.2*Working Capital+1.4*Retained Earnings+3.3*Earnings Before Interest and Taxes+0.6*Market Value of Equity+1.0*Total Sales

Capital Allocation Line

Go Expected Return on Portfolio = ((Expected Return on Treasury Bill*Weight of Treasury Bill)+(Expected Return of Stock*Weight of Stock))*100

Justified Forward Price to Earnings Ratio

Go Justified Forward Price to Earnings Ratio = (Dividend/Earnings Per Share)/(Cost of Equity-Growth Rate)

Margin Call Price

Go Margin Call Price = Initial Purchase Price*((1-Initial Margin Requirement)/(1-Maintenance Margin Requirement))

Dividend Coverage Ratio

Go Dividend Coverage Ratio = (Net Income-Preferred Dividend)/Common Dividend

Fisher Price Index

Go Fisher Price Index = sqrt(Laspeyres Price Index*Paasche Price Index)

Momentum Indicator

Go Momentum Indicator = (Closing Price of Particular Stock/Closing Price of Stock N Days Ago)*100

Marshall-Edgeworth Price Index

Go Marshall Edgeworth Price Index = (Laspeyres Price Index+Paasche Price Index)/2

Dividend Growth Rate

Go Dividend Growth Rate = (Previous Year Dividend/Current Year Dividend)-1

Price to Cash Flow Ratio

Go Price to Cash Flow Ratio = Current Share Price/Operating Cash Flow

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Go Margin Account Value = (Margin Loan)/(1-Maintenance Margin)

Sustainable Growth Rate

Go Sustainable Growth Rate = Retention Ratio*Return on Equity

Ev to Ebitda Ratio

Go Enterprise Value to Ebitda Ratio = Enterprise Value/EBITDA

Maximum Leverage Ratio

Go Maximum Leverage Ratio = 1/Initial Margin Requirement

Equal Weighting

Go Equal Weighting = 1/Number of Securities in the Index

Laspeyres Price Index Formula

What is Laspeyres Price Index?

The Laspeyres Price Index is a measure used in economics to calculate the change in the overall price level of a fixed basket of goods and services over time. It compares the total cost of purchasing the fixed basket of goods at current prices to the total cost of purchasing the same basket of goods at base period prices. The Laspeyres index assumes that consumers continue to buy the same quantities of goods and services over time, ignoring any changes in consumer behavior. This index is valuable for tracking price changes for specific goods and services and is commonly used in economic analysis to monitor inflation or deflationary trends.

How to Calculate Laspeyres Price Index?

Laspeyres Price Index calculator uses Laspeyres Price Index = ((sum(x,1,2,(Price in Final Period*Quantity in Base Period)))/(sum(x,1,2,(Price in Base Period*Quantity in Base Period))))*100 to calculate the Laspeyres Price Index, The Laspeyres Price Index formula is used to calculate a price index by fixing the quantities consumed at a base period. Laspeyres Price Index is denoted by LPI symbol.

How to calculate Laspeyres Price Index using this online calculator? To use this online calculator for Laspeyres Price Index, enter Price in Final Period (Pi^F), Quantity in Base Period (Qi^B) & Price in Base Period (Pi^B) and hit the calculate button. Here is how the Laspeyres Price Index calculation can be explained with given input values -> 333.3333 = ((sum(x,1,2,(50*60)))/(sum(x,1,2,(15*60))))*100.

FAQ

What is Laspeyres Price Index?

The Laspeyres Price Index formula is used to calculate a price index by fixing the quantities consumed at a base period and is represented as LPI = ((sum(x,1,2,(Pi^F*Qi^B)))/(sum(x,1,2,(Pi^B*Qi^B))))*100 or Laspeyres Price Index = ((sum(x,1,2,(Price in Final Period*Quantity in Base Period)))/(sum(x,1,2,(Price in Base Period*Quantity in Base Period))))*100. Price in Final Period refers to the value of an asset or investment at the end of a specified period, Quantity in Base Period refers to the quantity of goods, services, or assets measured at a specific base period for comparison purposes & Price in Base Period refers to the present value or initial price of an asset or investment at the beginning of a financial analysis or investment period.

How to calculate Laspeyres Price Index?

The Laspeyres Price Index formula is used to calculate a price index by fixing the quantities consumed at a base period is calculated using Laspeyres Price Index = ((sum(x,1,2,(Price in Final Period*Quantity in Base Period)))/(sum(x,1,2,(Price in Base Period*Quantity in Base Period))))*100. To calculate Laspeyres Price Index, you need Price in Final Period (Pi^F), Quantity in Base Period (Qi^B) & Price in Base Period (Pi^B). With our tool, you need to enter the respective value for Price in Final Period, Quantity in Base Period & Price in Base Period and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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