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Seminar 2 Introduction to modern portfolio theory: the set up

Recent view on quantitative methods in decision-makingQuantitative funds would never rule the spaceThey are “black boxes” that recommend counter-intuitive trades, bets that nobody can understand

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Слайд 1Seminar 2 Introduction to modern portfolio theory: the set up
Mikhail Kamrotov
Data

Analysis in Economics and Finance
Winter /Spring 2019

Seminar 2 Introduction to modern portfolio theory: the set upMikhail KamrotovData Analysis in Economics and FinanceWinter /Spring

Слайд 3Recent view on quantitative methods in decision-making
Quantitative funds would never

rule the space
They are “black boxes” that recommend counter-intuitive trades,

bets that nobody can understand
Recent view on quantitative methods in decision-makingQuantitative funds would never rule the spaceThey are “black boxes” that

Слайд 4Most successful hedge funds (as of 2017)
Renaissance Technologies ($42 billion

assets under management, up 42% from the previous year)
AQR Capital

Management ($69.7 billion AUM, up 48%)
Two Sigma ($51 billion AUM, up 28%)
Bridgewater Associates ($122.3 billion AUM, up 17% from 2015)
In general: five of the six largest firms in this 2017 ranking rely on computers and algorithms to make their investment decisions (Institutional Investor)
Most successful hedge funds (as of 2017)Renaissance Technologies ($42 billion assets under management, up 42% from the

Слайд 5Role of data analysis in modern finance
Investment shops are

fighting over mathematicians and engineers
FinTech
“Half of the books about finance

are written by authors who have not practiced what they teach. They contain extremely elegant mathematics that describe a world that does not exist. The other half of the books are written by authors who offer explanations absent of any academic theory. They misuse mathematical tools to describe actual observations”. (Lopez de Prado)
Data analysis fills the gap between theory and practice
Role of data analysis in modern finance Investment shops are fighting over mathematicians and engineersFinTech“Half of the

Слайд 6Big data in action
Parking lots traffic
In 2015 certain hedge funds

utilizing satellite data sources noted rising traffic in the parking lots

of J.C. Penny stores
This was a clear sign of increasing sales
JCP’s stock jumped more than 10% when public reports of JCP’s increased store traffic came to light in August.
Crop estimates
In 2015 some investment firms examined infrared satellite images taken of over one million corn fields
They correctly predicted that U.S. corn production was 2.8% smaller than prevailing government estimates
Successful market guessing requires data analysis skills!
Big data in actionParking lots trafficIn 2015 certain hedge funds utilizing satellite data sources noted rising traffic in

Слайд 7Course objective
Look at one particular application of data analysis
Make it

as close to practice as possible
Avoid the misuse of mathematics
Ultimate

goal: build an investment portfolio
Discuss modern approaches
Gather financial data
Compute optimal asset allocations
Evaluate historical performance
Track out-of-sample results
Course objectiveLook at one particular application of data analysisMake it as close to practice as possibleAvoid the

Слайд 8General workflow in the asset management industry
Understand client (or your

own) needs
Formalize requirements
Build an algorithm that produces tailored portfolio

General workflow in the asset management industryUnderstand client (or your own) needsFormalize requirementsBuild an algorithm that produces

Слайд 9Your projects
How did you pick assets?
How did you match characteristics

of your portfolio to client profiles?
How did you assign weights?
What

measures did you use for selecting the best portfolio?

Your projectsHow did you pick assets?How did you match characteristics of your portfolio to client profiles?How did

Слайд 10Your projects
How did you pick assets?
How did you match characteristics

of your portfolio to client profiles?
How did you assign weights?
What

measures did you use for selecting the best portfolio?

How well have your portfolios performed since inception?

Let’s go to investing.com and check
Your projectsHow did you pick assets?How did you match characteristics of your portfolio to client profiles?How did

Слайд 11Key portfolio characteristics
Return
Risk
Complex measures of the probability distribution of portfolio

returns (skewness, kurtosis, etc.)
Similarity between in-sample and out-of-sample performance
Robustness of

assets allocation procedure
Financial rocket scientists have a lot more to offer


Key portfolio characteristicsReturnRiskComplex measures of the probability distribution of portfolio returns (skewness, kurtosis, etc.)Similarity between in-sample and

Слайд 12Risk vs return
The risk and return trade-off is the main

principle of investing
Future return is uncertain
“Risk means more things

can happen than will happen” (LSE)
Extreme movements are usually not anticipated on all time scales


Risk vs returnThe risk and return trade-off is the main principle of investing Future return is uncertain“Risk

Слайд 13Daily data

Daily data

Слайд 14Flash Crash 2010 (intraday data)
Almost 10% drop in just couple of

minutes
It’s a result of algorithmic trading
Almost impossible to predict

Flash Crash 2010 (intraday data)Almost 10% drop in just couple of minutesIt’s a result of algorithmic tradingAlmost

Слайд 15Risk vs return
The risk and return trade-off is the main

principle of investing
Future return is uncertain
Extreme movements are usually

not anticipated on all time scales
Risk-return trade-off works because people are constantly searching for profits -> equilibrium
Is there a free lunch in finance?


Risk vs returnThe risk and return trade-off is the main principle of investing Future return is uncertainExtreme

Слайд 16Portfolio theory: outline
Naïve 1/n
Markowitz theory
Risk parity theory
Hierarchical risk parity

Portfolio theory: outlineNaïve 1/nMarkowitz theoryRisk parity theoryHierarchical risk parity

Слайд 17Diversification
Objective: lower our exposure to risk
If assets are negatively correlated,

you construct a low risk portfolio
The risk of the average

is not equal to the average of the risks
Brent Crude and USDRUB example




DiversificationObjective: lower our exposure to riskIf assets are negatively correlated, you construct a low risk portfolioThe risk

Слайд 18Diversification
Objective: lower our exposure to risk
If assets are negatively correlated,

you construct a low risk portfolio
The risk of the average

is not equal to the average of the risks
Brent Crude and USDRUB example
Data analysis can help you build better investment portfolios
Understanding the decision-making process is the starting point



DiversificationObjective: lower our exposure to riskIf assets are negatively correlated, you construct a low risk portfolioThe risk

Слайд 19Decision-making process
What is rational decision-making?
Imagine playing a game with the

following rules:
everybody picks any number between 0 and 100
the goal

is to guess 2/3 of the average of the numbers picked by all participants
What is the winning strategy?

Decision-making processWhat is rational decision-making?Imagine playing a game with the following rules:everybody picks any number between 0

Слайд 20Decision-making process
If everybody is rational, then you should pick 0!
Financial

markets are much harder to predict
Gather information: stocks prices, what

stocks move together, what is the probability of crash, etc.
Decision-making (economics): optimization of the objective function and finding stocks that fulfill your goal
Decision-making (neuroscience): social background, cultural biases, amount of sleep, stress, how good was your cappuccino today – everything is important

Decision-making processIf everybody is rational, then you should pick 0!Financial markets are much harder to predictGather information:

Слайд 21Individual preferences

Individual preferences

Слайд 22Attitude to risk

Attitude to risk

Слайд 23Attitude to risk

Attitude to risk

Слайд 24Attitude to risk

Attitude to risk

Слайд 25Conclusions
Data analysis is a core element of modern financial theory
Utility

function is a way to formally describe individual preferences
Intuitively risk

seems to be an obvious concept
Measuring risk is not trivial
Risk-return trade-off is the key principle of investing
Next time we’ll use real data to illustrate this trade-off

ConclusionsData analysis is a core element of modern financial theoryUtility function is a way to formally describe

Слайд 26Thank you!

Thank you!

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