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An Index or Indices measures the performance of an asset class, such as equity, commodity or currency.
An Stock market Index can use a price-weighted formula such as the Dow Jones Industrial Average, NYSE Arca Major Market Index, and the NYSE ARCA Tech 100 Index or a capitalization-weighted Index also called market-value-weighted  such as 
the S&P 500 IndexNASDAQ Composite IndexFTSE-100 IndexS&P/ASX 200 IndexTOPIX IndexDAX 30 Index
CAC 40 IndexKOSPI IndexSENSEX IndexHang Seng Index.
A Commodity  index is a price-weighted or weighted average of a basket of commodities. The Commodity Indices are often traded on exchanges.
Commodity Indices or Commodity Indexes are the same thing.
A Bond Index or Bond market Index, most of the time it has its own calculation methodology.
Bond market Index may be used to compare the return on specific investments.
Bond Indices or Bond Indexes are the same thing.

Examples of Currency Indices:

USD Index
EUR Index or Euro Index
AUD Index
GBP Index
JPY Index
CAD Index
NZD Index
CHF Index

Examples of Commodity Indexes:

World Bank Commodity Price Index
Continuous Commodity Index (CCI)
Dow Jones-UBS Commodity Index
Goldman Sachs Commodity Index (S&P GSCI)
Thomson Reuters/Jefferies CRB Index (TR/CC CRB)
Rogers International Commodity Index (RICI)
Standard & Poor's Commodity Index (SPCI) 
NCDEX Commodity Index
Deutsche Bank Liquid Commodity Index (DBLCI)
Credit Suisse Commodity Benchmark Index (CSCB)
Merrill Lynch Commodity index eXtra (MLCX)
Astmax Commodity Index(AMCI)
UBS Bloomberg Constant Maturity Commodity Index (CMCI)
SummerHaven Dynamic Commodity Index (SDCI)

Examples of Stock market Indices:

Dow Jones Industrial Average
S&P 500 Composite
Nasdaq Composite
Nikkei 225 - 日経225
TOPIX - 東証株価指数
FTSE 100
Dax 30
CAC 40
ASX 200
Australia All Ordinaries - ASX 500 
India Bombay Stock Exchange(BSE) - Sensex
Israel TA-100 Index 
Italy MIBTel
Hang Seng Index 恆指 - 恒生指數
China SSE Composite Index - 中國上證綜合指數
China CSI 300 Index - 中國CSI 300指數
Canada S&P/TSX 60
Canada S&P/TSX Composite Index
Spanish - IBEX 35
Kuala Lumpur Composite Index (KLCI)
Taiwan Capitalization Weighted Stock Index (TAIEX)
Swiss Market Index (SMI)
Sweden OMX Stockholm 30 (OMXS30)
Finland OMX Helsinki 25
Denmark OMX Copenhagen 20
Belgium BEL20
Austria ATX
S&P Sri Lanka 20 (S&P SL20)
Netherlands AEX index
Norway OBX Index
Pakistan KSE 100 Index
Portugal PSI-20
Romania BET-10

Examples of Bond market Indices:

Bank of America Merrill Lynch Global Bond Index
Barclays Capital Aggregate Bond Index former Barclays Capital Aggregate Bond Index or Lehman Aggregate Bond Index
Citi World Broad Investment - Grade Bond Index (World BIG)
Merrill Lynch Domestic Master Bond index
Lehman Brothers US Treasury Index
Capital Markets Bond Index (^CPMKTB)
US Broad Investment - Grade Bond Index (USBIG)
Barclays Inflation - Linked Euro Government Bond Index
World Government Bond Index (WGBI)
FTSE Actuaries UK Gilts Indices
J.P. Morgan Government Bond Index
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