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Quantitative Trading For 
Engineers 
Gaurav Raizada 
Quantinsti 
© Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
What is it exactly? 
Base Salary 
+ Bonus 
Quant Trading 
Flexi 
Timings 
Objective 
Evaluation 
Flat 
Hierarchy 
Trading 
through 
Computers 
Cutting 
Edge 
Technology 
© Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
Why Quant Trading 
Programming 
Trading 
Quant 
Trading 
Implementing 
Ideas 
Direct Approach to 
Making Money 
© Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
Bazaar – Since Ever 
• Participants are Producers, Consumers 
• Mix of Barter & Coinage 
• Trading Roles – Hedgers, Traders, Arbitrageur 
• Speed of information travelled at the speed of Horse/Bullock 
• Mostly Physical Trading 
© Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
The Native Share & Stock Brokers' 
Association 
• Now known as Bombay Stock Exchange 
• Set up in 1877 
• Trading in ownership rights of the firms 
• Variously called as ‘allotments’, ‘scrips’ and ‘shares’ 
• Delivery based Trading 
• Trading was localized – through brokers 
• Pit Traders, Brokers 
© Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
Circa 1992 
• Screen Based Trading System 
• Localized behavior of the exchange was now globalized 
• Anonymity of Orders 
• Costs and Errors Reduced 
• Reduction in manipulation 
• Derivatives and Dematerialization 
© Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
Now 
• Trade matches in microseconds 
• Complete Transparency 
• Volumes are all time high 
• Complex Instruments, Derivatives 
• Extremely Democratic 
• Much better control over Trading 
© Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
Concepts of Diverse fields 
Statistics 
Finance 
Computer 
Science 
Operations 
Research 
Economics 
Psychology 
History 
Mathematics 
Strategy 
© Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
Search For Alpha 
• Alpha is the ability to predict the future. Alpha is defined as 
the additional return over a naive forecast. 
• Finding alpha is the job of a quant research analyst. 
• Alpha comes from following sources: 
1. Information 
2. Modeling 
3. Speed 
© Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
Speed First 
• Simplest of All sources. 
• For two strategies, doing the same, the faster one will do 
better. 
• Understanding and Implementing this is simpler and more 
objective 
© Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
Having an Estimate is Better than None at all 
• Informational Alpha is sources of information 
1. Proprietary information sources 
2. Tick by Tick 
3. Extraneous sources 
• Modeling Alpha is development of Trading Models 
1. Models provide trading edge 
2. Valuation, Hedging etc. 
© Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
Quantitative Trading Segmentation 
Market 
Making 
 Get Inside the bid-ask spread and buy low, sell high 
Arbitrage  Take Advantage of things trading at different prices 
on different exchanges or through similar 
instruments 
Momentum  If it goes up, it keeps going up 
Mean 
Reversion 
 If it has gone up, then it is bound to come back 
© Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
Consequence of Definition 
• Strategy must finish the day flat, HFTs must exhibit balanced 
bi-directional (i.e. “two-way”) flow 
• HFTs can't accumulate large positions 
• HFTs can't deploy large amounts of capital 
• HFTs have little need for outside capital or leverage, and 
tend to be proprietary traders 
• HFTs can't “blow up” (they don't use much leverage, and 
don't have much capital, so they can't lose much capital!) 
© Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited 
Workshop on Algorithmic & High Frequency Trading
Understanding HFT 
• HFTs take the opposite side of trades of long-term investors 
• Long term investors impact many securities besides the 
ones they are directly trade, because stocks are correlated 
• This creates opportunities for Statistical Arbitrageurs, 
whose activity keeps correlated stocks “fairly priced” with 
respect to one another 
• r 
• HFT comes in, when volatility is high, liquidity is in short 
supply, and it becomes very profitable to provide it 
• HFTs benefit from volatility, so they can not cause it 
© Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
Contrasting HFT and Long Term Investing 
HFT Long Term Investing 
Profit Margins Small Large 
Transaction Costs Small Large 
© Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited 
Workshop on Algorithmic & High Frequency Trading 
Capital 
Requirements 
Small Large 
Consistency of 
Profits 
High Low 
Total Profit Potential Small Large
Economics of HFT 
• Opportunities for short-term returns follow a Gaussian 
(Normal) distribution 
– large expected returns are rare; tiny expected returns are 
abundant 
• HF Traders target opportunities that are tiny (expected 
returns ~ 0.15 Rs before costs) 
• Long-term investors don't have the cost-structure to target 
such trades! (Cost being 0.35 Rs) 
• typical HF trade: expected return = 0.15 Rs after costs, 
standard deviation = +/- 5 Rs 
• The risk/reward of such trades is not meaningful to long-term 
investors 
© Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
Economics of HFT 
• Small returns are appealing to HFT because they are very 
plentiful 
• typical HF trade: expected return = 0.15 Rs after costs, 
standard deviation = +/- 6 Rs 
• after 100 such trades: expected return = 0.15 Rs; standard 
deviation = +/- 0.6 Rs 
• if one does 100 such trades per day, for full year: sharpe 
ratio of 4.0 
• if one does 10,000 such trades per day, for full year: sharpe 
ratio of 40.0 
© Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
Capturing HFT opportunities requires use of 
advanced technology 
© Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
Vicious Cycle 
More 
Volumes 
Opportunities 
Lower Costs 
More 
Higher volumes lead to gains in efficiency through the use of 
technology, leading to lower transaction costs. Technology 
is the enabler of the virtuous cycle, but cost is the driver. 
As costs approach zero, volumes will peak as a result. 
© Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
Market-making opportunities arise because long-term 
investors desire immediacy when making trades 
Investor 1 has to wait for 1 
hour to find a Counterparty 
T1 = 10 AM T2= 11 AM 
Investor 1 comes to buy 
shares at 100.05 or lower 
Investor 2 comes to sell 
shares at 99.95 or higher 
Investor 1 buys from HFT at 
100.05 at 10 am and Investor 
2 sells to HFT at 11 am 
T1 = 10 AM T2= 11 AM 
Investor 1 comes to buy 
shares at 100.05 or lower 
Investor 2 comes to sell 
shares at 99.95 or higher 
© Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
Statistical Arbitrage 
Reliance 
Futures 
Reliance 
Put/Call 
Nifty 
Put/Call 
Reliance 
Stock 
Nifty 
Futures 
Statistical correlations arise because securities are driven by systematic factors such 
as inflation, regulatory policies, currency prices, economic growth, and so on. 
Because there are far fewer systematic drivers than there are securities which 
depend on them, correlation between securities is guaranteed to exist! 
© Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
Understanding HFT 
Structural vs Statistical Correlations 
 Structural correlations tend to be strong, 
steady, and robust. 
 profitable opportunities tend to be very 
easy to identify, and are thus heavily 
competed for. 
 Competition prevents structural price 
divergences from growing large – Small 
bets 
 tremendous speed is required in order 
to access them before competitors 
 mainstay of HFTs, who specialize in fast 
trading 
 Statistical correlations tend to be weak, 
time-varying, and non-stationary 
 profitable opportunities based on 
statistical correlations tend to be harder 
to model, and more persistent in terms 
of their duration 
 size and duration of these opportunities 
facilitates large bet-sizes and overnight 
positioning 
 Such opportunities tend to be favoured 
by large quantitative hedge funds 
specializing in statistical analysis 
© Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
E-PAT course structure 
Core Content 
Statistics and Econometrics 
Financial Computing & 
Technology 
Algo & Quant trading 
© Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
E-PAT Course Structure: Statistics and 
Econometrics 
Core Content 
Statistics and Econometrics 
Financial Computing & 
Technology 
Algo & Quant trading 
 Probability and Distribution 
 Statistical Inference 
 Linear Regression 
 Correlation vs. Co-integration 
 ARIMA, ARCH-GARCH Models 
 Multiple Regression 
© Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited 
Basic Statistics 
Advanced Statistics 
Time Series Analysis 
 Stochastic Math 
 Causality 
 Forecasting
E-PAT Course Structure: Financial Computing 
& Technology 
Core Content 
Statistics and Econometrics 
Financial Computing & 
Technology 
Algo & Quant trading 
 Intro to Programming Language(s) 
 Programming on Algorithmic 
Trading Platforms 
 Linear Regression 
 System Architecture 
 Understanding an Algo Trading 
Platform 
 Handling HFT Data 
© Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited 
Programming 
Technology for Algorithmic 
Trading 
Statistical Tools 
 Excel & VBA 
 Financial Modeling using R 
 Using R & Excel for Back-testing
E-PAT Course Structure: Financial Computing 
Core Content 
Statistics and Econometrics 
Financial Computing & 
Technology 
Algo & Quant trading 
 Statistical Arbitrage 
 Market Making Strategies 
 Execution Strategies 
 Forecasting & AI Based Strategies 
 Machine readable News based 
 Trend following Strategies 
 Option Pricing Model 
 Time Structure of Volatility 
 Dispersion Trading 
 Volatility Forecasting & Interpretations 
 Managing Risk using Greeks 
 Position Analysis 
 Order Book Dynamics 
 Market Microstructure 
© Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited 
Trading Strategies 
Derivatives & Market 
Microstructure 
Statistical Tools 
 Hardware & Network 
 Regulatory Framework 
 Exchange Infrastructure & Financial 
Planning (Costing) 
 Handling Risk Management in 
Automated systems 
& Technology
E-PAT course mapping 
© Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
Program Delivery 
• Part-time program 
– 3 hrs sessions on Saturday & Sunday both 
– 4 months long program 
– 100 contact hours including practical sessions 
• Convenience - webinars 
• Open Source 
• Virtual Classroom integration 
• Student Portal 
© Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
Mapping Skill Set 
Trading 
Knowledge 
Software 
Development 
Quantitative Skills 
Trading Sales Trading Algo Trading Broking 
© Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited 
Asset 
management 
– Mid Office 
Asset 
management 
– Front 
Office
Opportunities for Technologists 
Brokerages/Banks Trading 
Trading 
Front 
Office 
Asset Management/MF 
 Hedge Funds, Prop Funds 
– Modeling, Coding –Excel 
– 20-25 L 
Proprietary Trading 
 Hedge Funds, Prop Funds 
– Trading, Modeling (MATLAB, R, 
Kdb) 
– 25-50 L 
Trading 
Mid 
Office 
Quants, Sales Trading 
 Banks, Brokerages 
–Modeling, Coding- 
MATLAB/R/Excel 
– 12-18 L 
Technology, Operations 
 Hedge Funds, Prop Funds 
– Development (C++, Java, 
Python) 
– 20-30 L 
© Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
Opportunities 
© Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
Opportunities 
© Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
Entrance Test 
• Check your pre-requisite knowledge by taking the entrance 
test: 
http:/www.quantinsti.com/epat_scholarship_test.php 
© Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
Coming dates 
• http://www.quantinsti.com/importantdates.h 
tml 
© Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
Q&A 
• Please type your questions in the chat 
window. 
© Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited

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Quant insti webinar on algorithmic trading for technocrats!

  • 1. Quantitative Trading For Engineers Gaurav Raizada Quantinsti © Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
  • 2. What is it exactly? Base Salary + Bonus Quant Trading Flexi Timings Objective Evaluation Flat Hierarchy Trading through Computers Cutting Edge Technology © Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
  • 3. Why Quant Trading Programming Trading Quant Trading Implementing Ideas Direct Approach to Making Money © Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
  • 4. Bazaar – Since Ever • Participants are Producers, Consumers • Mix of Barter & Coinage • Trading Roles – Hedgers, Traders, Arbitrageur • Speed of information travelled at the speed of Horse/Bullock • Mostly Physical Trading © Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
  • 5. The Native Share & Stock Brokers' Association • Now known as Bombay Stock Exchange • Set up in 1877 • Trading in ownership rights of the firms • Variously called as ‘allotments’, ‘scrips’ and ‘shares’ • Delivery based Trading • Trading was localized – through brokers • Pit Traders, Brokers © Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
  • 6. Circa 1992 • Screen Based Trading System • Localized behavior of the exchange was now globalized • Anonymity of Orders • Costs and Errors Reduced • Reduction in manipulation • Derivatives and Dematerialization © Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
  • 7. Now • Trade matches in microseconds • Complete Transparency • Volumes are all time high • Complex Instruments, Derivatives • Extremely Democratic • Much better control over Trading © Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
  • 8. Concepts of Diverse fields Statistics Finance Computer Science Operations Research Economics Psychology History Mathematics Strategy © Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
  • 9. Search For Alpha • Alpha is the ability to predict the future. Alpha is defined as the additional return over a naive forecast. • Finding alpha is the job of a quant research analyst. • Alpha comes from following sources: 1. Information 2. Modeling 3. Speed © Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
  • 10. Speed First • Simplest of All sources. • For two strategies, doing the same, the faster one will do better. • Understanding and Implementing this is simpler and more objective © Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
  • 11. Having an Estimate is Better than None at all • Informational Alpha is sources of information 1. Proprietary information sources 2. Tick by Tick 3. Extraneous sources • Modeling Alpha is development of Trading Models 1. Models provide trading edge 2. Valuation, Hedging etc. © Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
  • 12. Quantitative Trading Segmentation Market Making  Get Inside the bid-ask spread and buy low, sell high Arbitrage  Take Advantage of things trading at different prices on different exchanges or through similar instruments Momentum  If it goes up, it keeps going up Mean Reversion  If it has gone up, then it is bound to come back © Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
  • 13. Consequence of Definition • Strategy must finish the day flat, HFTs must exhibit balanced bi-directional (i.e. “two-way”) flow • HFTs can't accumulate large positions • HFTs can't deploy large amounts of capital • HFTs have little need for outside capital or leverage, and tend to be proprietary traders • HFTs can't “blow up” (they don't use much leverage, and don't have much capital, so they can't lose much capital!) © Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited Workshop on Algorithmic & High Frequency Trading
  • 14. Understanding HFT • HFTs take the opposite side of trades of long-term investors • Long term investors impact many securities besides the ones they are directly trade, because stocks are correlated • This creates opportunities for Statistical Arbitrageurs, whose activity keeps correlated stocks “fairly priced” with respect to one another • r • HFT comes in, when volatility is high, liquidity is in short supply, and it becomes very profitable to provide it • HFTs benefit from volatility, so they can not cause it © Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
  • 15. Contrasting HFT and Long Term Investing HFT Long Term Investing Profit Margins Small Large Transaction Costs Small Large © Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited Workshop on Algorithmic & High Frequency Trading Capital Requirements Small Large Consistency of Profits High Low Total Profit Potential Small Large
  • 16. Economics of HFT • Opportunities for short-term returns follow a Gaussian (Normal) distribution – large expected returns are rare; tiny expected returns are abundant • HF Traders target opportunities that are tiny (expected returns ~ 0.15 Rs before costs) • Long-term investors don't have the cost-structure to target such trades! (Cost being 0.35 Rs) • typical HF trade: expected return = 0.15 Rs after costs, standard deviation = +/- 5 Rs • The risk/reward of such trades is not meaningful to long-term investors © Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
  • 17. Economics of HFT • Small returns are appealing to HFT because they are very plentiful • typical HF trade: expected return = 0.15 Rs after costs, standard deviation = +/- 6 Rs • after 100 such trades: expected return = 0.15 Rs; standard deviation = +/- 0.6 Rs • if one does 100 such trades per day, for full year: sharpe ratio of 4.0 • if one does 10,000 such trades per day, for full year: sharpe ratio of 40.0 © Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
  • 18. Capturing HFT opportunities requires use of advanced technology © Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
  • 19. Vicious Cycle More Volumes Opportunities Lower Costs More Higher volumes lead to gains in efficiency through the use of technology, leading to lower transaction costs. Technology is the enabler of the virtuous cycle, but cost is the driver. As costs approach zero, volumes will peak as a result. © Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
  • 20. Market-making opportunities arise because long-term investors desire immediacy when making trades Investor 1 has to wait for 1 hour to find a Counterparty T1 = 10 AM T2= 11 AM Investor 1 comes to buy shares at 100.05 or lower Investor 2 comes to sell shares at 99.95 or higher Investor 1 buys from HFT at 100.05 at 10 am and Investor 2 sells to HFT at 11 am T1 = 10 AM T2= 11 AM Investor 1 comes to buy shares at 100.05 or lower Investor 2 comes to sell shares at 99.95 or higher © Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
  • 21. Statistical Arbitrage Reliance Futures Reliance Put/Call Nifty Put/Call Reliance Stock Nifty Futures Statistical correlations arise because securities are driven by systematic factors such as inflation, regulatory policies, currency prices, economic growth, and so on. Because there are far fewer systematic drivers than there are securities which depend on them, correlation between securities is guaranteed to exist! © Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
  • 22. Understanding HFT Structural vs Statistical Correlations  Structural correlations tend to be strong, steady, and robust.  profitable opportunities tend to be very easy to identify, and are thus heavily competed for.  Competition prevents structural price divergences from growing large – Small bets  tremendous speed is required in order to access them before competitors  mainstay of HFTs, who specialize in fast trading  Statistical correlations tend to be weak, time-varying, and non-stationary  profitable opportunities based on statistical correlations tend to be harder to model, and more persistent in terms of their duration  size and duration of these opportunities facilitates large bet-sizes and overnight positioning  Such opportunities tend to be favoured by large quantitative hedge funds specializing in statistical analysis © Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
  • 23. E-PAT course structure Core Content Statistics and Econometrics Financial Computing & Technology Algo & Quant trading © Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
  • 24. E-PAT Course Structure: Statistics and Econometrics Core Content Statistics and Econometrics Financial Computing & Technology Algo & Quant trading  Probability and Distribution  Statistical Inference  Linear Regression  Correlation vs. Co-integration  ARIMA, ARCH-GARCH Models  Multiple Regression © Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited Basic Statistics Advanced Statistics Time Series Analysis  Stochastic Math  Causality  Forecasting
  • 25. E-PAT Course Structure: Financial Computing & Technology Core Content Statistics and Econometrics Financial Computing & Technology Algo & Quant trading  Intro to Programming Language(s)  Programming on Algorithmic Trading Platforms  Linear Regression  System Architecture  Understanding an Algo Trading Platform  Handling HFT Data © Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited Programming Technology for Algorithmic Trading Statistical Tools  Excel & VBA  Financial Modeling using R  Using R & Excel for Back-testing
  • 26. E-PAT Course Structure: Financial Computing Core Content Statistics and Econometrics Financial Computing & Technology Algo & Quant trading  Statistical Arbitrage  Market Making Strategies  Execution Strategies  Forecasting & AI Based Strategies  Machine readable News based  Trend following Strategies  Option Pricing Model  Time Structure of Volatility  Dispersion Trading  Volatility Forecasting & Interpretations  Managing Risk using Greeks  Position Analysis  Order Book Dynamics  Market Microstructure © Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited Trading Strategies Derivatives & Market Microstructure Statistical Tools  Hardware & Network  Regulatory Framework  Exchange Infrastructure & Financial Planning (Costing)  Handling Risk Management in Automated systems & Technology
  • 27. E-PAT course mapping © Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
  • 28. Program Delivery • Part-time program – 3 hrs sessions on Saturday & Sunday both – 4 months long program – 100 contact hours including practical sessions • Convenience - webinars • Open Source • Virtual Classroom integration • Student Portal © Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
  • 29. Mapping Skill Set Trading Knowledge Software Development Quantitative Skills Trading Sales Trading Algo Trading Broking © Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited Asset management – Mid Office Asset management – Front Office
  • 30. Opportunities for Technologists Brokerages/Banks Trading Trading Front Office Asset Management/MF  Hedge Funds, Prop Funds – Modeling, Coding –Excel – 20-25 L Proprietary Trading  Hedge Funds, Prop Funds – Trading, Modeling (MATLAB, R, Kdb) – 25-50 L Trading Mid Office Quants, Sales Trading  Banks, Brokerages –Modeling, Coding- MATLAB/R/Excel – 12-18 L Technology, Operations  Hedge Funds, Prop Funds – Development (C++, Java, Python) – 20-30 L © Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
  • 31. Opportunities © Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
  • 32. Opportunities © Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
  • 33. Entrance Test • Check your pre-requisite knowledge by taking the entrance test: http:/www.quantinsti.com/epat_scholarship_test.php © Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
  • 34. Coming dates • http://www.quantinsti.com/importantdates.h tml © Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited
  • 35. Q&A • Please type your questions in the chat window. © Copyright 2010-2014 QuantInsti Quantitative Learning Private Limited