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Financial Optimization for
Risk Management
Short course for Bank of Thailand, Dec. 2015
	
Professor	Stavros	A.	ZENIOS	
University	of	Cyprus	and	the	Wharton	Financial	Institutions	Center	
	
INTRODUCTION	
	
This	short	course	will	familiarize	students	with	state-of-the-art	optimization	models	as	they	
apply	 to	 financial	 risk	 management.	 Special	 focus	 will	 be	 placed	 on	 planning	 under	
uncertainty	using	scenario	optimization	and	multi-period	stochastic	programming	models.	
	
We	will	also	discuss	applications	to	credit	risk	portfolio	management	and	international	asset	
allocation,	and	the	integration	of	hedging	decisions	in	the	optimal	asset	allocation.	
	
• Course	Reading	Material:	
	
S.A.	Zenios,	Practical	Financial	Optimization:	Decision	making	for	financial	engineers,	
Blackwell	Publishing,	Cambridge,	2007.			
	
A.	Consiglio,	S.	Nielsen	and	S.A.	Zenios,	Practical	Financial	Optimization:	A	library	of	GAMS	
models,	Wiley	Finance,	2009.	(Software	on-line	http://www.gams.de/finlib/libhtml/	)	
	
• Additional	Recommended	books	and	papers:	
	
Zenios,	S.A.	and	W.T.	Ziemba	(editors),	Handbook	of	Asset	and	Liability	Management,	Vol.	
1	(Theory)	and	Vol.	2	(Case	studies).	Handbooks	in	Finance,	Elsevier	Science,	2006,	2007.	
	
Mulvey,	 J.M.	 and	 S.A.	 Zenios,	 Capturing	 the	 correlations	 of	 fixed	 income	 securities,	
Management	Science,	Vol.	40,	No.	10	(Oct.,	1994),	pp.	1329-1342	
	
Consiglio,	 A.	 and	 S.A.	 Zenios,	 ``Risk	 Management	 Optimization	 for	 Sovereign	 Debt	
Restructuring",		The	Wharton	School	Financial	Institutions	Centre	Working	Paper	No.	14-
10,	August	2014.	http://papers.ssrn.com/sol3/papers.cfm?abstract_id=2478380		
	
Consiglio,	 A.	 and	 S.A.	 Zenios,	 Greek	 debt	 sustainability:	 the	 devil	 is	 in	 the	 tails,	 Vox.eu	
CEPR	 Policy	 Poartal,	 August	 2015.	 http://www.voxeu.org/article/greek-debt-
sustainability-devil-tails
2
LECTURE SCHEDULE
Day 1
	
0.		 Introduction	to	risk	management	
- Enterprise-wide	risk	management	
- Risk	measures	for	fixed	income,	equities	and	coherent	risk	measures			
- Convergence	of	risk	measures	for	fixed	income	and	equities:	capturing	correlations			
- Scenarios	and	holding	period	returns	
- Course	overview			
1. Mean-variance	optimization	
- Canonical	formulations	and	extensions	
- Incorporating	liabilities	
- Factor	Models	of	Return	
	
2. Factor	Immunization	for	Corporate	Bonds	
3.		 Scenario	optimization	
- Mean-absolute	deviation	
- Tracking	models	
- Regret	models	
- Expected	utility	optimization	
	
2nd
Day
	
4.		 Optimization	of	coherent	risk	measures:	CVaR	
	
5.		 Multi-period	portfolio	optimization	
- Scenario	trees	
- Stochastic	dedication	
- Stochastic	programming	
- Stochastic	programming	for	portfolio	optimization	
	
6.	 Index	funds	
- Strategic	asset	allocation	
- Tactical	asset	allocation	
- Integrated	indexation	models	
	
7.	 Financial	Products	Novelties	(omitted)		
- 	Callable	Bonds	
- 	MBS	
- Contingent	debt
3
3rd
Day
	 	
8.	 Scenario	Generation	
- 	Framework	and	Methodologies	
- Constructing	Event	Trees	
	
9.	 International	asset	allocation	
- Indexation	models		
- Hedging	strategies	
- Scenario	generation	
	
10.	 Corporate	Bond	Portfolios	
- Credit	Risk	Securities	
- Integrating	Credit	and	Market	Risk	
- Optimizing	the	right	Risk	metric	
- Index	Funds	for	Corporate	Bond	Portfolio	
- Tracking	Corporate	Bond	Index	
	
11.	 Overview	of	FINLIB.	A	library	of	financial	optimization	models

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Financial Optimization for Risk Management

  • 1. Financial Optimization for Risk Management Short course for Bank of Thailand, Dec. 2015 Professor Stavros A. ZENIOS University of Cyprus and the Wharton Financial Institutions Center INTRODUCTION This short course will familiarize students with state-of-the-art optimization models as they apply to financial risk management. Special focus will be placed on planning under uncertainty using scenario optimization and multi-period stochastic programming models. We will also discuss applications to credit risk portfolio management and international asset allocation, and the integration of hedging decisions in the optimal asset allocation. • Course Reading Material: S.A. Zenios, Practical Financial Optimization: Decision making for financial engineers, Blackwell Publishing, Cambridge, 2007. A. Consiglio, S. Nielsen and S.A. Zenios, Practical Financial Optimization: A library of GAMS models, Wiley Finance, 2009. (Software on-line http://www.gams.de/finlib/libhtml/ ) • Additional Recommended books and papers: Zenios, S.A. and W.T. Ziemba (editors), Handbook of Asset and Liability Management, Vol. 1 (Theory) and Vol. 2 (Case studies). Handbooks in Finance, Elsevier Science, 2006, 2007. Mulvey, J.M. and S.A. Zenios, Capturing the correlations of fixed income securities, Management Science, Vol. 40, No. 10 (Oct., 1994), pp. 1329-1342 Consiglio, A. and S.A. Zenios, ``Risk Management Optimization for Sovereign Debt Restructuring", The Wharton School Financial Institutions Centre Working Paper No. 14- 10, August 2014. http://papers.ssrn.com/sol3/papers.cfm?abstract_id=2478380 Consiglio, A. and S.A. Zenios, Greek debt sustainability: the devil is in the tails, Vox.eu CEPR Policy Poartal, August 2015. http://www.voxeu.org/article/greek-debt- sustainability-devil-tails
  • 2. 2 LECTURE SCHEDULE Day 1 0. Introduction to risk management - Enterprise-wide risk management - Risk measures for fixed income, equities and coherent risk measures - Convergence of risk measures for fixed income and equities: capturing correlations - Scenarios and holding period returns - Course overview 1. Mean-variance optimization - Canonical formulations and extensions - Incorporating liabilities - Factor Models of Return 2. Factor Immunization for Corporate Bonds 3. Scenario optimization - Mean-absolute deviation - Tracking models - Regret models - Expected utility optimization 2nd Day 4. Optimization of coherent risk measures: CVaR 5. Multi-period portfolio optimization - Scenario trees - Stochastic dedication - Stochastic programming - Stochastic programming for portfolio optimization 6. Index funds - Strategic asset allocation - Tactical asset allocation - Integrated indexation models 7. Financial Products Novelties (omitted) - Callable Bonds - MBS - Contingent debt
  • 3. 3 3rd Day 8. Scenario Generation - Framework and Methodologies - Constructing Event Trees 9. International asset allocation - Indexation models - Hedging strategies - Scenario generation 10. Corporate Bond Portfolios - Credit Risk Securities - Integrating Credit and Market Risk - Optimizing the right Risk metric - Index Funds for Corporate Bond Portfolio - Tracking Corporate Bond Index 11. Overview of FINLIB. A library of financial optimization models