SlideShare a Scribd company logo
1 of 15
FINANCIAL RISK MGT – FRM
Lecture by;
Dr. Syed
Muhammad Ali
Tirmizi
1
2
TOPICS OF CHAPTER NO. 13
 In this lecture, we will cover the following topics:
13. Tactical Asset Allocation
13.1. Overview
13.2. Survey of Selected Time Series Models
13.2.1. Univariate Time Series Models
13.2.2. Multivariate Time Series Models
13.3. The Black-Litterman Approach
13.4. Copula Opinion and Entropy Pooling
13.4.1. Introduction
13.4.2. The COP model
13.4.3. The EP model
3
TOPICS OF CHAPTER NO. 13
11.5. Synopsis for R Packages
11.5.1. The Package BLCOP
11.5.1. The Package dse
11.5.1. The Package fArma
11.5.1. The Package forecast
11.5.1. The Package MSBVAR
11.5.1. The Package PortfolioAnalytics
11.5.1. The Package urca and vars
11.6. Empirical Applications
11.6.1. Black-Litterman Portfolio Optimization
11.6.2. Copula Opinion Pooling
11.6.3. Entropy Pooling
11.6.4. Protection Strategies
4
CHAPTER OVERVIEW
 The focus will be on the description of selected time
series methods for deriving forecasts of asset prices.
 There are quite a few different ways of deriving
TAA allocations, the Black–Litterman model
probably being the most widely known and almost
synonymous with TAA-driven portfolio allocations.
 However, TAA can also be combined with risk-
overlay and/or high-watermark strategies.
5
CHAPTER OVERVIEW
 Given the quite huge variety of applications and
combinations of TAA, it is quite surprising that
the literature directly related to TAA is rather
sparse.
 Also, the number of articles explicitly covering
TAA is rather small.
 Although this chapter aim is to provide as
thorough an account of the topic.
6
SURVEY OF SELECTED TIMESERIES MODELS
 Univariate time series models
 AR(p) time series process
7
SURVEY OF SELECTED TIMESERIES MODELS
8
SURVEY OF SELECTED TIMESERIES MODELS
9
SURVEY OF SELECTED TIMESERIES MODELS
10
MULTIVARIATE TIME SERIES MODELS
 This interdependence occurs across countries
and/or across assets.
 Structural multiple equation models allow the
modelling of explicit interdependencies as
observed in financial markets.
 In addition, exogenous variables (e.g.,
macroeconomic data) can be included in this
model type.
11
MULTIVARIATE TIME SERIES MODELS
 Structural multiple equation models (SMEMs) can
be utilized for forecasting, scenario analysis, and
risk assessment as well as for multiplier analysis,
and they are therefore ideally suited for tactical
asset allocation.
 The origins of the SMEMcan be traced back to the
1940s and 1950s, when this model type was
proposed by the Cowles Foundation.
12
MULTIVARIATE TIME SERIES MODELS
13
MULTIVARIATE TIME SERIES MODELS
 Vector autoregressive models: VAR models explain
the endogenous variables solely in terms of their own
history, apart from deterministic regressors.
 In contrast, structural vector autoregressive (SVAR)
models allow the explicit modelling of
contemporaneous interdependence between the left-
hand-sidevariables. Hence, these types of models try
to bypass the shortcomings of VAR models.
14
MULTIVARIATE TIME SERIES MODELS
END OF LECTURE NO. 14
15

More Related Content

Similar to Financial Risk Mgt - Lec 14 by Dr. Syed Muhammad Ali Tirmizi

Nduati Michelle Wanjiku Undergraduate Project
Nduati Michelle Wanjiku Undergraduate ProjectNduati Michelle Wanjiku Undergraduate Project
Nduati Michelle Wanjiku Undergraduate Project
Michelle Nduati
 
1100163YifanGuo
1100163YifanGuo1100163YifanGuo
1100163YifanGuo
Yifan Guo
 

Similar to Financial Risk Mgt - Lec 14 by Dr. Syed Muhammad Ali Tirmizi (20)

vatter_pdm_1.1
vatter_pdm_1.1vatter_pdm_1.1
vatter_pdm_1.1
 
LectureNoteCAPM
LectureNoteCAPMLectureNoteCAPM
LectureNoteCAPM
 
Algorithms for generalized mean variance problems
Algorithms for generalized mean variance problemsAlgorithms for generalized mean variance problems
Algorithms for generalized mean variance problems
 
N ra d tr 1076
N ra d tr 1076N ra d tr 1076
N ra d tr 1076
 
Presentation
PresentationPresentation
Presentation
 
Impact of capital asset pricing model (capm) on pakistan
Impact of capital asset pricing model (capm) on pakistanImpact of capital asset pricing model (capm) on pakistan
Impact of capital asset pricing model (capm) on pakistan
 
Incorporating Numerical Simulation Into Your Reserves Estimation Process: A P...
Incorporating Numerical Simulation Into Your Reserves Estimation Process: A P...Incorporating Numerical Simulation Into Your Reserves Estimation Process: A P...
Incorporating Numerical Simulation Into Your Reserves Estimation Process: A P...
 
Mba finance project_sharpes_single_index_model_project_report_final_
Mba finance project_sharpes_single_index_model_project_report_final_Mba finance project_sharpes_single_index_model_project_report_final_
Mba finance project_sharpes_single_index_model_project_report_final_
 
23 Equipment Selection For Mining With Case Studies
23 Equipment Selection For Mining  With Case Studies23 Equipment Selection For Mining  With Case Studies
23 Equipment Selection For Mining With Case Studies
 
Capital asset pricing model (capm) evidence from nigeria
Capital asset pricing model (capm) evidence from nigeriaCapital asset pricing model (capm) evidence from nigeria
Capital asset pricing model (capm) evidence from nigeria
 
I05724149
I05724149I05724149
I05724149
 
Incorporating Numerical Simulation Into Your Reserves Estimation Process: A P...
Incorporating Numerical Simulation Into Your Reserves Estimation Process: A P...Incorporating Numerical Simulation Into Your Reserves Estimation Process: A P...
Incorporating Numerical Simulation Into Your Reserves Estimation Process: A P...
 
Cisdm qqqactive-full
Cisdm qqqactive-fullCisdm qqqactive-full
Cisdm qqqactive-full
 
Nduati Michelle Wanjiku Undergraduate Project
Nduati Michelle Wanjiku Undergraduate ProjectNduati Michelle Wanjiku Undergraduate Project
Nduati Michelle Wanjiku Undergraduate Project
 
The value at risk
The value at risk The value at risk
The value at risk
 
2010 07-11 - atrs 2010 - long term forecasting
2010 07-11 - atrs 2010 - long term forecasting2010 07-11 - atrs 2010 - long term forecasting
2010 07-11 - atrs 2010 - long term forecasting
 
Dividend portfolio – multi-period performance of portfolio selection based so...
Dividend portfolio – multi-period performance of portfolio selection based so...Dividend portfolio – multi-period performance of portfolio selection based so...
Dividend portfolio – multi-period performance of portfolio selection based so...
 
1100163YifanGuo
1100163YifanGuo1100163YifanGuo
1100163YifanGuo
 
Chapter11a
Chapter11aChapter11a
Chapter11a
 
Real time clustering of time series
Real time clustering of time seriesReal time clustering of time series
Real time clustering of time series
 

More from Dr. Muhammad Ali Tirmizi., Ph.D.

More from Dr. Muhammad Ali Tirmizi., Ph.D. (15)

Financial Risk Mgt - Lec 12 by Dr. Syed Muhammad Ali Tirmizi
Financial Risk Mgt - Lec 12 by Dr. Syed Muhammad Ali TirmiziFinancial Risk Mgt - Lec 12 by Dr. Syed Muhammad Ali Tirmizi
Financial Risk Mgt - Lec 12 by Dr. Syed Muhammad Ali Tirmizi
 
Financial Risk Mgt - Lec 10 by Dr. Syed Muhammad Ali Tirmizi
Financial Risk Mgt - Lec 10 by Dr. Syed Muhammad Ali TirmiziFinancial Risk Mgt - Lec 10 by Dr. Syed Muhammad Ali Tirmizi
Financial Risk Mgt - Lec 10 by Dr. Syed Muhammad Ali Tirmizi
 
Financial Risk Mgt - Lec 8 by Dr. Syed Muhammad Ali Tirmizi
Financial Risk Mgt - Lec 8 by Dr. Syed Muhammad Ali TirmiziFinancial Risk Mgt - Lec 8 by Dr. Syed Muhammad Ali Tirmizi
Financial Risk Mgt - Lec 8 by Dr. Syed Muhammad Ali Tirmizi
 
Financial Risk Mgt - Lec 7 by Dr. Syed Muhammad Ali Tirmizi
Financial Risk Mgt - Lec 7 by Dr. Syed Muhammad Ali TirmiziFinancial Risk Mgt - Lec 7 by Dr. Syed Muhammad Ali Tirmizi
Financial Risk Mgt - Lec 7 by Dr. Syed Muhammad Ali Tirmizi
 
Financial Risk Mgt - Lec 4 by Dr. Syed Muhammad Ali Tirmizi
Financial Risk Mgt - Lec 4 by Dr. Syed Muhammad Ali TirmiziFinancial Risk Mgt - Lec 4 by Dr. Syed Muhammad Ali Tirmizi
Financial Risk Mgt - Lec 4 by Dr. Syed Muhammad Ali Tirmizi
 
Financial Risk Mgt - Lec 3 by Dr. Syed Muhammad Ali Tirmizi
Financial Risk Mgt - Lec 3 by Dr. Syed Muhammad Ali TirmiziFinancial Risk Mgt - Lec 3 by Dr. Syed Muhammad Ali Tirmizi
Financial Risk Mgt - Lec 3 by Dr. Syed Muhammad Ali Tirmizi
 
Financial Risk Mgt - Lec 2 by Dr. Syed Muhammad Ali Tirmizi
Financial Risk Mgt - Lec 2 by Dr. Syed Muhammad Ali TirmiziFinancial Risk Mgt - Lec 2 by Dr. Syed Muhammad Ali Tirmizi
Financial Risk Mgt - Lec 2 by Dr. Syed Muhammad Ali Tirmizi
 
Financial Risk Mgt - Lec 1 by dr. syed muhammad ali tirmizi
Financial Risk Mgt - Lec 1 by dr. syed muhammad ali tirmiziFinancial Risk Mgt - Lec 1 by dr. syed muhammad ali tirmizi
Financial Risk Mgt - Lec 1 by dr. syed muhammad ali tirmizi
 
Dr. Syed Muhammad Ali Tirmizi - Special topics in finance lec 14
Dr. Syed Muhammad Ali Tirmizi - Special topics in finance   lec 14Dr. Syed Muhammad Ali Tirmizi - Special topics in finance   lec 14
Dr. Syed Muhammad Ali Tirmizi - Special topics in finance lec 14
 
Dr. Syed Muhammad Ali Tirmizi - Special topics in finance lec 13
Dr. Syed Muhammad Ali Tirmizi - Special topics in finance   lec 13Dr. Syed Muhammad Ali Tirmizi - Special topics in finance   lec 13
Dr. Syed Muhammad Ali Tirmizi - Special topics in finance lec 13
 
Dr. Syed Muhammad Ali Tirmizi - Special topics in finance lec 5
Dr. Syed Muhammad Ali Tirmizi - Special topics in finance   lec 5Dr. Syed Muhammad Ali Tirmizi - Special topics in finance   lec 5
Dr. Syed Muhammad Ali Tirmizi - Special topics in finance lec 5
 
Dr. Syed Muhammad Ali Tirmizi - Special topics in finance lec 4
Dr. Syed Muhammad Ali Tirmizi - Special topics in finance   lec 4Dr. Syed Muhammad Ali Tirmizi - Special topics in finance   lec 4
Dr. Syed Muhammad Ali Tirmizi - Special topics in finance lec 4
 
Dr. Syed Muhammad Ali Tirmizi - Special topics in finance lec 3
Dr. Syed Muhammad Ali Tirmizi - Special topics in finance   lec 3Dr. Syed Muhammad Ali Tirmizi - Special topics in finance   lec 3
Dr. Syed Muhammad Ali Tirmizi - Special topics in finance lec 3
 
Special topics in finance lecture 2
Special topics in finance   lecture 2Special topics in finance   lecture 2
Special topics in finance lecture 2
 
Special topics in finance lec 1
Special topics in finance   lec 1Special topics in finance   lec 1
Special topics in finance lec 1
 

Recently uploaded

Top profile Call Girls In Latur [ 7014168258 ] Call Me For Genuine Models We ...
Top profile Call Girls In Latur [ 7014168258 ] Call Me For Genuine Models We ...Top profile Call Girls In Latur [ 7014168258 ] Call Me For Genuine Models We ...
Top profile Call Girls In Latur [ 7014168258 ] Call Me For Genuine Models We ...
gajnagarg
 
Top profile Call Girls In Purnia [ 7014168258 ] Call Me For Genuine Models We...
Top profile Call Girls In Purnia [ 7014168258 ] Call Me For Genuine Models We...Top profile Call Girls In Purnia [ 7014168258 ] Call Me For Genuine Models We...
Top profile Call Girls In Purnia [ 7014168258 ] Call Me For Genuine Models We...
nirzagarg
 
Top profile Call Girls In Satna [ 7014168258 ] Call Me For Genuine Models We ...
Top profile Call Girls In Satna [ 7014168258 ] Call Me For Genuine Models We ...Top profile Call Girls In Satna [ 7014168258 ] Call Me For Genuine Models We ...
Top profile Call Girls In Satna [ 7014168258 ] Call Me For Genuine Models We ...
nirzagarg
 
Diamond Harbour \ Russian Call Girls Kolkata | Book 8005736733 Extreme Naught...
Diamond Harbour \ Russian Call Girls Kolkata | Book 8005736733 Extreme Naught...Diamond Harbour \ Russian Call Girls Kolkata | Book 8005736733 Extreme Naught...
Diamond Harbour \ Russian Call Girls Kolkata | Book 8005736733 Extreme Naught...
HyderabadDolls
 
Lake Town / Independent Kolkata Call Girls Phone No 8005736733 Elite Escort S...
Lake Town / Independent Kolkata Call Girls Phone No 8005736733 Elite Escort S...Lake Town / Independent Kolkata Call Girls Phone No 8005736733 Elite Escort S...
Lake Town / Independent Kolkata Call Girls Phone No 8005736733 Elite Escort S...
HyderabadDolls
 
In Riyadh ((+919101817206)) Cytotec kit @ Abortion Pills Saudi Arabia
In Riyadh ((+919101817206)) Cytotec kit @ Abortion Pills Saudi ArabiaIn Riyadh ((+919101817206)) Cytotec kit @ Abortion Pills Saudi Arabia
In Riyadh ((+919101817206)) Cytotec kit @ Abortion Pills Saudi Arabia
ahmedjiabur940
 
Top profile Call Girls In Nandurbar [ 7014168258 ] Call Me For Genuine Models...
Top profile Call Girls In Nandurbar [ 7014168258 ] Call Me For Genuine Models...Top profile Call Girls In Nandurbar [ 7014168258 ] Call Me For Genuine Models...
Top profile Call Girls In Nandurbar [ 7014168258 ] Call Me For Genuine Models...
gajnagarg
 
Top profile Call Girls In bhavnagar [ 7014168258 ] Call Me For Genuine Models...
Top profile Call Girls In bhavnagar [ 7014168258 ] Call Me For Genuine Models...Top profile Call Girls In bhavnagar [ 7014168258 ] Call Me For Genuine Models...
Top profile Call Girls In bhavnagar [ 7014168258 ] Call Me For Genuine Models...
gajnagarg
 
Abortion pills in Doha {{ QATAR }} +966572737505) Get Cytotec
Abortion pills in Doha {{ QATAR }} +966572737505) Get CytotecAbortion pills in Doha {{ QATAR }} +966572737505) Get Cytotec
Abortion pills in Doha {{ QATAR }} +966572737505) Get Cytotec
Abortion pills in Riyadh +966572737505 get cytotec
 
Top profile Call Girls In Begusarai [ 7014168258 ] Call Me For Genuine Models...
Top profile Call Girls In Begusarai [ 7014168258 ] Call Me For Genuine Models...Top profile Call Girls In Begusarai [ 7014168258 ] Call Me For Genuine Models...
Top profile Call Girls In Begusarai [ 7014168258 ] Call Me For Genuine Models...
nirzagarg
 
Top profile Call Girls In Chandrapur [ 7014168258 ] Call Me For Genuine Model...
Top profile Call Girls In Chandrapur [ 7014168258 ] Call Me For Genuine Model...Top profile Call Girls In Chandrapur [ 7014168258 ] Call Me For Genuine Model...
Top profile Call Girls In Chandrapur [ 7014168258 ] Call Me For Genuine Model...
gajnagarg
 

Recently uploaded (20)

Top profile Call Girls In Latur [ 7014168258 ] Call Me For Genuine Models We ...
Top profile Call Girls In Latur [ 7014168258 ] Call Me For Genuine Models We ...Top profile Call Girls In Latur [ 7014168258 ] Call Me For Genuine Models We ...
Top profile Call Girls In Latur [ 7014168258 ] Call Me For Genuine Models We ...
 
社内勉強会資料_Object Recognition as Next Token Prediction
社内勉強会資料_Object Recognition as Next Token Prediction社内勉強会資料_Object Recognition as Next Token Prediction
社内勉強会資料_Object Recognition as Next Token Prediction
 
Top profile Call Girls In Purnia [ 7014168258 ] Call Me For Genuine Models We...
Top profile Call Girls In Purnia [ 7014168258 ] Call Me For Genuine Models We...Top profile Call Girls In Purnia [ 7014168258 ] Call Me For Genuine Models We...
Top profile Call Girls In Purnia [ 7014168258 ] Call Me For Genuine Models We...
 
Top profile Call Girls In Satna [ 7014168258 ] Call Me For Genuine Models We ...
Top profile Call Girls In Satna [ 7014168258 ] Call Me For Genuine Models We ...Top profile Call Girls In Satna [ 7014168258 ] Call Me For Genuine Models We ...
Top profile Call Girls In Satna [ 7014168258 ] Call Me For Genuine Models We ...
 
Diamond Harbour \ Russian Call Girls Kolkata | Book 8005736733 Extreme Naught...
Diamond Harbour \ Russian Call Girls Kolkata | Book 8005736733 Extreme Naught...Diamond Harbour \ Russian Call Girls Kolkata | Book 8005736733 Extreme Naught...
Diamond Harbour \ Russian Call Girls Kolkata | Book 8005736733 Extreme Naught...
 
Lake Town / Independent Kolkata Call Girls Phone No 8005736733 Elite Escort S...
Lake Town / Independent Kolkata Call Girls Phone No 8005736733 Elite Escort S...Lake Town / Independent Kolkata Call Girls Phone No 8005736733 Elite Escort S...
Lake Town / Independent Kolkata Call Girls Phone No 8005736733 Elite Escort S...
 
Vastral Call Girls Book Now 7737669865 Top Class Escort Service Available
Vastral Call Girls Book Now 7737669865 Top Class Escort Service AvailableVastral Call Girls Book Now 7737669865 Top Class Escort Service Available
Vastral Call Girls Book Now 7737669865 Top Class Escort Service Available
 
In Riyadh ((+919101817206)) Cytotec kit @ Abortion Pills Saudi Arabia
In Riyadh ((+919101817206)) Cytotec kit @ Abortion Pills Saudi ArabiaIn Riyadh ((+919101817206)) Cytotec kit @ Abortion Pills Saudi Arabia
In Riyadh ((+919101817206)) Cytotec kit @ Abortion Pills Saudi Arabia
 
Top Call Girls in Balaghat 9332606886Call Girls Advance Cash On Delivery Ser...
Top Call Girls in Balaghat  9332606886Call Girls Advance Cash On Delivery Ser...Top Call Girls in Balaghat  9332606886Call Girls Advance Cash On Delivery Ser...
Top Call Girls in Balaghat 9332606886Call Girls Advance Cash On Delivery Ser...
 
Call Girls In GOA North Goa +91-8588052666 Direct Cash Escorts Service
Call Girls In GOA North Goa +91-8588052666 Direct Cash Escorts ServiceCall Girls In GOA North Goa +91-8588052666 Direct Cash Escorts Service
Call Girls In GOA North Goa +91-8588052666 Direct Cash Escorts Service
 
Giridih Escorts Service Girl ^ 9332606886, WhatsApp Anytime Giridih
Giridih Escorts Service Girl ^ 9332606886, WhatsApp Anytime GiridihGiridih Escorts Service Girl ^ 9332606886, WhatsApp Anytime Giridih
Giridih Escorts Service Girl ^ 9332606886, WhatsApp Anytime Giridih
 
Top profile Call Girls In Nandurbar [ 7014168258 ] Call Me For Genuine Models...
Top profile Call Girls In Nandurbar [ 7014168258 ] Call Me For Genuine Models...Top profile Call Girls In Nandurbar [ 7014168258 ] Call Me For Genuine Models...
Top profile Call Girls In Nandurbar [ 7014168258 ] Call Me For Genuine Models...
 
Top profile Call Girls In bhavnagar [ 7014168258 ] Call Me For Genuine Models...
Top profile Call Girls In bhavnagar [ 7014168258 ] Call Me For Genuine Models...Top profile Call Girls In bhavnagar [ 7014168258 ] Call Me For Genuine Models...
Top profile Call Girls In bhavnagar [ 7014168258 ] Call Me For Genuine Models...
 
Introduction to Statistics Presentation.pptx
Introduction to Statistics Presentation.pptxIntroduction to Statistics Presentation.pptx
Introduction to Statistics Presentation.pptx
 
Dubai Call Girls Peeing O525547819 Call Girls Dubai
Dubai Call Girls Peeing O525547819 Call Girls DubaiDubai Call Girls Peeing O525547819 Call Girls Dubai
Dubai Call Girls Peeing O525547819 Call Girls Dubai
 
Abortion pills in Doha {{ QATAR }} +966572737505) Get Cytotec
Abortion pills in Doha {{ QATAR }} +966572737505) Get CytotecAbortion pills in Doha {{ QATAR }} +966572737505) Get Cytotec
Abortion pills in Doha {{ QATAR }} +966572737505) Get Cytotec
 
Top profile Call Girls In Begusarai [ 7014168258 ] Call Me For Genuine Models...
Top profile Call Girls In Begusarai [ 7014168258 ] Call Me For Genuine Models...Top profile Call Girls In Begusarai [ 7014168258 ] Call Me For Genuine Models...
Top profile Call Girls In Begusarai [ 7014168258 ] Call Me For Genuine Models...
 
Top profile Call Girls In Chandrapur [ 7014168258 ] Call Me For Genuine Model...
Top profile Call Girls In Chandrapur [ 7014168258 ] Call Me For Genuine Model...Top profile Call Girls In Chandrapur [ 7014168258 ] Call Me For Genuine Model...
Top profile Call Girls In Chandrapur [ 7014168258 ] Call Me For Genuine Model...
 
DATA SUMMIT 24 Building Real-Time Pipelines With FLaNK
DATA SUMMIT 24  Building Real-Time Pipelines With FLaNKDATA SUMMIT 24  Building Real-Time Pipelines With FLaNK
DATA SUMMIT 24 Building Real-Time Pipelines With FLaNK
 
TrafficWave Generator Will Instantly drive targeted and engaging traffic back...
TrafficWave Generator Will Instantly drive targeted and engaging traffic back...TrafficWave Generator Will Instantly drive targeted and engaging traffic back...
TrafficWave Generator Will Instantly drive targeted and engaging traffic back...
 

Financial Risk Mgt - Lec 14 by Dr. Syed Muhammad Ali Tirmizi

  • 1. FINANCIAL RISK MGT – FRM Lecture by; Dr. Syed Muhammad Ali Tirmizi 1
  • 2. 2 TOPICS OF CHAPTER NO. 13  In this lecture, we will cover the following topics: 13. Tactical Asset Allocation 13.1. Overview 13.2. Survey of Selected Time Series Models 13.2.1. Univariate Time Series Models 13.2.2. Multivariate Time Series Models 13.3. The Black-Litterman Approach 13.4. Copula Opinion and Entropy Pooling 13.4.1. Introduction 13.4.2. The COP model 13.4.3. The EP model
  • 3. 3 TOPICS OF CHAPTER NO. 13 11.5. Synopsis for R Packages 11.5.1. The Package BLCOP 11.5.1. The Package dse 11.5.1. The Package fArma 11.5.1. The Package forecast 11.5.1. The Package MSBVAR 11.5.1. The Package PortfolioAnalytics 11.5.1. The Package urca and vars 11.6. Empirical Applications 11.6.1. Black-Litterman Portfolio Optimization 11.6.2. Copula Opinion Pooling 11.6.3. Entropy Pooling 11.6.4. Protection Strategies
  • 4. 4 CHAPTER OVERVIEW  The focus will be on the description of selected time series methods for deriving forecasts of asset prices.  There are quite a few different ways of deriving TAA allocations, the Black–Litterman model probably being the most widely known and almost synonymous with TAA-driven portfolio allocations.  However, TAA can also be combined with risk- overlay and/or high-watermark strategies.
  • 5. 5 CHAPTER OVERVIEW  Given the quite huge variety of applications and combinations of TAA, it is quite surprising that the literature directly related to TAA is rather sparse.  Also, the number of articles explicitly covering TAA is rather small.  Although this chapter aim is to provide as thorough an account of the topic.
  • 6. 6 SURVEY OF SELECTED TIMESERIES MODELS  Univariate time series models  AR(p) time series process
  • 7. 7 SURVEY OF SELECTED TIMESERIES MODELS
  • 8. 8 SURVEY OF SELECTED TIMESERIES MODELS
  • 9. 9 SURVEY OF SELECTED TIMESERIES MODELS
  • 10. 10 MULTIVARIATE TIME SERIES MODELS  This interdependence occurs across countries and/or across assets.  Structural multiple equation models allow the modelling of explicit interdependencies as observed in financial markets.  In addition, exogenous variables (e.g., macroeconomic data) can be included in this model type.
  • 11. 11 MULTIVARIATE TIME SERIES MODELS  Structural multiple equation models (SMEMs) can be utilized for forecasting, scenario analysis, and risk assessment as well as for multiplier analysis, and they are therefore ideally suited for tactical asset allocation.  The origins of the SMEMcan be traced back to the 1940s and 1950s, when this model type was proposed by the Cowles Foundation.
  • 13. 13 MULTIVARIATE TIME SERIES MODELS  Vector autoregressive models: VAR models explain the endogenous variables solely in terms of their own history, apart from deterministic regressors.  In contrast, structural vector autoregressive (SVAR) models allow the explicit modelling of contemporaneous interdependence between the left- hand-sidevariables. Hence, these types of models try to bypass the shortcomings of VAR models.
  • 15. END OF LECTURE NO. 14 15