Quantum Computing Global Market Report 2025

Description

Quantum computing is an interdisciplinary field combining elements of computer science, physics, and mathematics. It leverages the principles of quantum mechanics to perform calculations exponentially faster than classical computers. Despite being in its early stages, quantum computing shows promise in revolutionizing various domains including cybersecurity, drug discovery, artificial intelligence, and tackling complex challenges.

Key components of quantum computing include hardware, software, and services. Hardware comprises tangible parts of computer systems or electronic devices deployed on-premises or in the cloud, utilizing technologies such as trapped ions, quantum annealing, and superconducting qubits. Quantum computing finds applications in optimization, simulation, machine learning, and other areas across industries such as healthcare, banking, financial services, insurance (BFSI), automotive, energy and utilities, chemical, manufacturing, and more.

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The quantum computing market size has grown exponentially in recent years. It will grow from $2.57 billion in 2024 to $3.62 billion in 2025 at a compound annual growth rate (CAGR) of 40.9%. The growth in the historic period can be attributed to theoretical foundations of quantum mechanics, pioneering concepts in quantum information theory, funding, and investment.

The quantum computing market size is expected to see exponential growth in the next few years. It will grow to $14.11 billion in 2029 at a compound annual growth rate (CAGR) of 40.5%. The growth in the forecast period can be attributed to research initiatives and partnerships, education and workforce development, regulatory and policy frameworks, and quantum communication and networking. Major trends in the forecast period include exponential growth in qubit counts, commercialization and industry adoption, and hybrid quantum-classical computing.

The quantum computing market is poised for significant growth, driven by rising investments in quantum computing startups specializing in developing and commercializing quantum computing technology. These investments are fueled by government support and the recognition of quantum computing's potential for disruptive innovation. The growing investments in quantum computing startups indicate a widespread belief in the revolutionary potential of this technology to unlock new commercial opportunities and generate economic value across various industries. For instance, according to FINRA, investments in quantum computing startups (both hardware and software) reached a record high of $2.35 billion in 2022, representing a significant increase compared to previous years. This surge in investments underscores the increasing momentum and confidence in the future of quantum computing, driving the growth of the quantum computing market.

Key players in the quantum computing market are focusing on developing advanced quantum development kits to empower developers to explore, experiment, and build applications for quantum computers. One such example is the Azure Quantum Development Kit (QDK) by Microsoft, which provides developers with tools to explore quantum algorithms, simulate quantum systems, and build applications. The recent 1.0 version of the Azure QDK features significant improvements, including a rewrite in Rust for enhanced speed, simplicity, and browser compatibility. It also includes a VS Code extension with a Q editor, debugger, and resource estimator for quantum programming. This release aims to support developers in navigating the 'Noisy Intermediate Scale Quantum' phase and advancing towards Level 2 quantum computing capabilities, further driving innovation in the quantum computing market.

In a strategic move in March 2022, Quantum Machines, an Israel-based company specializing in building quantum computer control systems, acquired Qdevil, a Denmark-based company providing research-friendly auxiliary electronics solutions for quantum computing. This acquisition strengthens Quantum Machines' position as a leading global supplier of quantum control technology, consolidating its capabilities and expertise in advancing the quantum computing ecosystem.

Major companies operating in the quantum computing market are Google LLC, Intel Corporation, International Business Machines Corporation, Honeywell, Atos Quantum, PsiQuantum Corporation, Quantum Machines Technologies Ltd., Pasqal, Xanadu Quantum Technologies Inc., Quantum Brilliance Pty Ltd., Zapata Computing Inc., Riverlane Ltd., Quantum Circuits Inc., Quantum Motion Technologies Inc., IonQ Inc., Cambridge Quantum Computing Limited, Seeqc Inc., Q-CTRL, D-Wave Systems Inc., Rigetti Computing, QuEra Computing Inc., Qubitekk Inc., Bleximo Corporation, Anyon Systems Inc., Classiq Technologies Inc

Asia-Pacific was the largest region in the quantum computing market in 2024. The regions covered in the quantum computing market report are Asia-Pacific, Western Europe, Eastern Europe, North America, South America, Middle East and Africa.

The countries covered in the quantum computing market report are Australia, Brazil, China, France, Germany, India, Indonesia, Japan, Russia, South Korea, UK, USA, Canada, Italy, Spain.

The quantum computing market consists of revenues earned by entities by providing services such as quantum cloud services, quantum consulting services, and quantum security service. The market value includes the value of related goods sold by the service provider or included within the service offering. The quantum computing market also includes sales of quantum software tools, quantum processors, and quantum-enabled applications which are used in various tasks. Values in this market are 'factory gate' values, that is the value of goods sold by the manufacturers or creators of the goods, whether to other entities (including downstream manufacturers, wholesalers, distributors and retailers) or directly to end customers. The value of goods in this market includes related services sold by the creators of the goods.

The market value is defined as the revenues that enterprises gain from the sale of goods and/or services within the specified market and geography through sales, grants, or donations in terms of the currency (in USD, unless otherwise specified).

The revenues for a specified geography are consumption values that are revenues generated by organizations in the specified geography within the market, irrespective of where they are produced. It does not include revenues from resales along the supply chain, either further along the supply chain or as part of other products.

Quantum Computing Global Market Report 2025 from The Business Research Company provides strategists, marketers and senior management with the critical information they need to assess the market.

This report focuses on quantum computing market which is experiencing strong growth. The report gives a guide to the trends which will be shaping the market over the next ten years and beyond.

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Where is the largest and fastest growing market for quantum computing ? How does the market relate to the overall economy, demography and other similar markets? What forces will shape the market going forward? The quantum computing market global report from the Business Research Company answers all these questions and many more.

The report covers market characteristics, size and growth, segmentation, regional and country breakdowns, competitive landscape, market shares, trends and strategies for this market. It traces the market's historic and forecast market growth by geography.

The market characteristics section of the report defines and explains the market.
The market size section gives the market size ($b) covering both the historic growth of the market, and forecasting its development.
The forecasts are made after considering the major factors currently impacting the market. These include:

The forecasts are made after considering the major factors currently impacting the market. These include the Russia-Ukraine war, rising inflation, higher interest rates, and the legacy of the COVID-19 pandemic.

Market segmentations break down the market into sub markets.
The regional and country breakdowns section gives an analysis of the market in each geography and the size of the market by geography and compares their historic and forecast growth. It covers the growth trajectory of COVID-19 for all regions, key developed countries and major emerging markets.
The competitive landscape chapter gives a description of the competitive nature of the market, market shares, and a description of the leading companies. Key financial deals which have shaped the market in recent years are identified.
The trends and strategies section analyses the shape of the market as it emerges from the crisis and suggests how companies can grow as the market recovers.

Scope

Markets Covered:1) By Component: Hardware; Software; Services
2) By Deployment: On-Premises; Cloud
3) By Technology: Trapped Ions; Quantum Annealing; Superconducting Qubits; Other Technologies
4) By Application: Optimization; Simulation; Machine Learning; Other Applications
5) By End User: Healthcare; Banking, Financial Service And Insurance (BSFI); Automotive; Energy And Utilities; Chemical; Manufacturing; Others End Users
Subsegments:
1) By Hardware: Quantum Processors; Quantum Sensors; Quantum Memory; Quantum Controllers; Quantum Detectors
2) By Software: Quantum Programming Languages; Quantum Development Platforms; Quantum Algorithms; Quantum Simulation Software
3) By Services: Cloud-Based Quantum Computing Services; Quantum Consulting; Quantum Training And Support Services; Quantum Application Development Services
Companies Mentioned: Google LLC; Intel Corporation; International Business Machines Corporation; Honeywell; Atos Quantum
Countries: Australia; Brazil; China; France; Germany; India; Indonesia; Japan; Russia; South Korea; UK; USA; Canada; Italy; Spain
Regions: Asia-Pacific; Western Europe; Eastern Europe; North America; South America; Middle East; Africa
Time series: Five years historic and ten years forecast.
Data: Ratios of market size and growth to related markets, GDP proportions, expenditure per capita,
Data segmentations: country and regional historic and forecast data, market share of competitors, market segments.
Sourcing and Referencing: Data and analysis throughout the report is sourced using end notes.
Delivery format: PDF, Word and Excel Data Dashboard.

Product Code: r28837

1. Executive Summary

2. Quantum Computing Market Characteristics

3. Quantum Computing Market Trends And Strategies

4. Quantum Computing Market - Macro Economic Scenario Including The Impact Of Interest Rates, Inflation, Geopolitics, Covid And Recovery On The Market

5. Global Quantum Computing Growth Analysis And Strategic Analysis Framework

5.1. Global Quantum Computing PESTEL Analysis (Political, Social, Technological, Environmental and Legal Factors, Drivers and Restraints)
5.2. Analysis Of End Use Industries
5.3. Global Quantum Computing Market Growth Rate Analysis
5.4. Global Quantum Computing Historic Market Size and Growth, 2019 - 2024, Value ($ Billion)
5.5. Global Quantum Computing Forecast Market Size and Growth, 2024 - 2029, 2034F, Value ($ Billion)
5.6. Global Quantum Computing Total Addressable Market (TAM)

6. Quantum Computing Market Segmentation

6.1. Global Quantum Computing Market, Segmentation By Component, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion
Hardware
Software
Services
6.2. Global Quantum Computing Market, Segmentation By Deployment, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion
On-Premises
Cloud
6.3. Global Quantum Computing Market, Segmentation By Technology, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion
Trapped Ions
Quantum Annealing
Superconducting Qubits
Other Technologies
6.4. Global Quantum Computing Market, Segmentation By Application, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion
Optimization
Simulation
Machine Learning
Other Applications
6.5. Global Quantum Computing Market, Segmentation By End User, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion
Healthcare
Banking, Financial Service And Insurance (BSFI)
Automotive
Energy And Utilities
Chemical
Manufacturing
Other End Users
6.6. Global Quantum Computing Market, Sub-Segmentation Of Hardware, By Type, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion
Quantum Processors
Quantum Sensors
Quantum Memory
Quantum Controllers
Quantum Detectors
6.7. Global Quantum Computing Market, Sub-Segmentation Of Software, By Type, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion
Quantum Programming Languages
Quantum Development Platforms
Quantum Algorithms
Quantum Simulation Software
6.8. Global Quantum Computing Market, Sub-Segmentation Of Services, By Type, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion
Cloud-Based Quantum Computing Services
Quantum Consulting
Quantum Training And Support Services
Quantum Application Development Services

7. Quantum Computing Market Regional And Country Analysis

7.1. Global Quantum Computing Market, Split By Region, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion
7.2. Global Quantum Computing Market, Split By Country, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion

8. Asia-Pacific Quantum Computing Market

8.1. Asia-Pacific Quantum Computing Market Overview
Region Information, Market Information, Background Information, Government Initiatives, Regulations, Regulatory Bodies, Major Associations, Taxes Levied, Corporate Tax Structure, Investments, Major Companies
8.2. Asia-Pacific Quantum Computing Market, Segmentation By Component, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion
8.3. Asia-Pacific Quantum Computing Market, Segmentation By Deployment, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion
8.4. Asia-Pacific Quantum Computing Market, Segmentation By Technology, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion

9. China Quantum Computing Market

9.1. China Quantum Computing Market Overview
9.2. China Quantum Computing Market, Segmentation By Component, Historic and Forecast, 2019-2024, 2024-2029F, 2034F,$ Billion
9.3. China Quantum Computing Market, Segmentation By Deployment, Historic and Forecast, 2019-2024, 2024-2029F, 2034F,$ Billion
9.4. China Quantum Computing Market, Segmentation By Technology, Historic and Forecast, 2019-2024, 2024-2029F, 2034F,$ Billion

10. India Quantum Computing Market

10.1. India Quantum Computing Market, Segmentation By Component, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion
10.2. India Quantum Computing Market, Segmentation By Deployment, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion
10.3. India Quantum Computing Market, Segmentation By Technology, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion

11. Japan Quantum Computing Market

11.1. Japan Quantum Computing Market Overview
11.2. Japan Quantum Computing Market, Segmentation By Component, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion
11.3. Japan Quantum Computing Market, Segmentation By Deployment, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion
11.4. Japan Quantum Computing Market, Segmentation By Technology, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion

12. Australia Quantum Computing Market

12.1. Australia Quantum Computing Market, Segmentation By Component, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion
12.2. Australia Quantum Computing Market, Segmentation By Deployment, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion
12.3. Australia Quantum Computing Market, Segmentation By Technology, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion

13. Indonesia Quantum Computing Market

13.1. Indonesia Quantum Computing Market, Segmentation By Component, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion
13.2. Indonesia Quantum Computing Market, Segmentation By Deployment, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion
13.3. Indonesia Quantum Computing Market, Segmentation By Technology, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion

14. South Korea Quantum Computing Market

14.1. South Korea Quantum Computing Market Overview
14.2. South Korea Quantum Computing Market, Segmentation By Component, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion
14.3. South Korea Quantum Computing Market, Segmentation By Deployment, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion
14.4. South Korea Quantum Computing Market, Segmentation By Technology, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion

15. Western Europe Quantum Computing Market

15.1. Western Europe Quantum Computing Market Overview
15.2. Western Europe Quantum Computing Market, Segmentation By Component, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion
15.3. Western Europe Quantum Computing Market, Segmentation By Deployment, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion
15.4. Western Europe Quantum Computing Market, Segmentation By Technology, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion

16. UK Quantum Computing Market

16.1. UK Quantum Computing Market, Segmentation By Component, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion
16.2. UK Quantum Computing Market, Segmentation By Deployment, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion
16.3. UK Quantum Computing Market, Segmentation By Technology, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion

17. Germany Quantum Computing Market

17.1. Germany Quantum Computing Market, Segmentation By Component, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion
17.2. Germany Quantum Computing Market, Segmentation By Deployment, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion
17.3. Germany Quantum Computing Market, Segmentation By Technology, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion

18. France Quantum Computing Market

18.1. France Quantum Computing Market, Segmentation By Component, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion
18.2. France Quantum Computing Market, Segmentation By Deployment, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion
18.3. France Quantum Computing Market, Segmentation By Technology, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion

19. Italy Quantum Computing Market

19.1. Italy Quantum Computing Market, Segmentation By Component, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion
19.2. Italy Quantum Computing Market, Segmentation By Deployment, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion
19.3. Italy Quantum Computing Market, Segmentation By Technology, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion

20. Spain Quantum Computing Market

20.1. Spain Quantum Computing Market, Segmentation By Component, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion
20.2. Spain Quantum Computing Market, Segmentation By Deployment, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion
20.3. Spain Quantum Computing Market, Segmentation By Technology, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion

21. Eastern Europe Quantum Computing Market

21.1. Eastern Europe Quantum Computing Market Overview
21.2. Eastern Europe Quantum Computing Market, Segmentation By Component, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion
21.3. Eastern Europe Quantum Computing Market, Segmentation By Deployment, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion
21.4. Eastern Europe Quantum Computing Market, Segmentation By Technology, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion

22. Russia Quantum Computing Market

22.1. Russia Quantum Computing Market, Segmentation By Component, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion
22.2. Russia Quantum Computing Market, Segmentation By Deployment, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion
22.3. Russia Quantum Computing Market, Segmentation By Technology, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion

23. North America Quantum Computing Market

23.1. North America Quantum Computing Market Overview
23.2. North America Quantum Computing Market, Segmentation By Component, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion
23.3. North America Quantum Computing Market, Segmentation By Deployment, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion
23.4. North America Quantum Computing Market, Segmentation By Technology, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion

24. USA Quantum Computing Market

24.1. USA Quantum Computing Market Overview
24.2. USA Quantum Computing Market, Segmentation By Component, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion
24.3. USA Quantum Computing Market, Segmentation By Deployment, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion
24.4. USA Quantum Computing Market, Segmentation By Technology, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion

25. Canada Quantum Computing Market

25.1. Canada Quantum Computing Market Overview
25.2. Canada Quantum Computing Market, Segmentation By Component, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion
25.3. Canada Quantum Computing Market, Segmentation By Deployment, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion
25.4. Canada Quantum Computing Market, Segmentation By Technology, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion

26. South America Quantum Computing Market

26.1. South America Quantum Computing Market Overview
26.2. South America Quantum Computing Market, Segmentation By Component, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion
26.3. South America Quantum Computing Market, Segmentation By Deployment, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion
26.4. South America Quantum Computing Market, Segmentation By Technology, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion

27. Brazil Quantum Computing Market

27.1. Brazil Quantum Computing Market, Segmentation By Component, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion
27.2. Brazil Quantum Computing Market, Segmentation By Deployment, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion
27.3. Brazil Quantum Computing Market, Segmentation By Technology, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion

28. Middle East Quantum Computing Market

28.1. Middle East Quantum Computing Market Overview
28.2. Middle East Quantum Computing Market, Segmentation By Component, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion
28.3. Middle East Quantum Computing Market, Segmentation By Deployment, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion
28.4. Middle East Quantum Computing Market, Segmentation By Technology, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion

29. Africa Quantum Computing Market

29.1. Africa Quantum Computing Market Overview
29.2. Africa Quantum Computing Market, Segmentation By Component, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion
29.3. Africa Quantum Computing Market, Segmentation By Deployment, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion
29.4. Africa Quantum Computing Market, Segmentation By Technology, Historic and Forecast, 2019-2024, 2024-2029F, 2034F, $ Billion

30. Quantum Computing Market Competitive Landscape And Company Profiles

30.1. Quantum Computing Market Competitive Landscape
30.2. Quantum Computing Market Company Profiles
- 30.2.1. Google LLC Overview, Products and Services, Strategy and Financial Analysis
- 30.2.2. Intel Corporation Overview, Products and Services, Strategy and Financial Analysis
- 30.2.3. International Business Machines Corporation Overview, Products and Services, Strategy and Financial Analysis
- 30.2.4. Honeywell Overview, Products and Services, Strategy and Financial Analysis
- 30.2.5. Atos Quantum Overview, Products and Services, Strategy and Financial Analysis

31. Quantum Computing Market Other Major And Innovative Companies

31.1. PsiQuantum Corporation
31.2. Quantum Machines Technologies Ltd
31.3. Pasqal
31.4. Xanadu Quantum Technologies Inc
31.5. Quantum Brilliance Pty Ltd
31.6. Zapata Computing Inc
31.7. Riverlane Ltd
31.8. Quantum Circuits Inc
31.9. Quantum Motion Technologies Inc
31.10. IonQ Inc
31.11. Cambridge Quantum Computing Limited
31.12. Seeqc Inc
31.13. Q-CTRL
31.14. D-Wave Systems Inc
31.15. Rigetti Computing

32. Global Quantum Computing Market Competitive Benchmarking And Dashboard

33. Key Mergers And Acquisitions In The Quantum Computing Market

34. Recent Developments In The Quantum Computing Market

35. Quantum Computing Market High Potential Countries, Segments and Strategies

35.1 Quantum Computing Market In 2029 - Countries Offering Most New Opportunities
35.2 Quantum Computing Market In 2029 - Segments Offering Most New Opportunities
35.3 Quantum Computing Market In 2029 - Growth Strategies
- 35.3.1 Market Trend Based Strategies
- 35.3.2 Competitor Strategies

36. Appendix

36.1. Abbreviations
36.2. Currencies
36.3. Historic And Forecast Inflation Rates
36.4. Research Inquiries
36.5. The Business Research Company
36.6. Copyright And Disclaimer