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Author: Donatien Hainaut
Publisher:
ISBN:
Category :
Languages : en
Pages : 20
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Book Description
This paper addresses the problem of dynamic asset allocation under a bounded shortfall risk in a market composed of three assets: cash, stocks and a zero coupon bond. The dynamics of the instantaneous short rates is driven by a Hull and White model. In this setting, we determine and compare optimal investment strategies maximizing the CRRA utility of terminal wealth with and without value at risk constraint.
Author: Donatien Hainaut
Publisher:
ISBN:
Category :
Languages : en
Pages : 20
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Book Description
This paper addresses the problem of dynamic asset allocation under a bounded shortfall risk in a market composed of three assets: cash, stocks and a zero coupon bond. The dynamics of the instantaneous short rates is driven by a Hull and White model. In this setting, we determine and compare optimal investment strategies maximizing the CRRA utility of terminal wealth with and without value at risk constraint.
Author: Claus Munk
Publisher:
ISBN:
Category :
Languages : en
Pages : 63
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Book Description
We investigate the optimal investment and consumption choice of individual investors with uncertain future labor income operating in a financial market with stochastic interest rates. Since the present value of the individual's future income is a main determinant of the optimal behavior and this present value depends heavily on the interest rate dynamics, the joint stochastics of income and interest rates will have consequences beyond the separate effects of stochastic income and stochastic interest rates. We study both the case where income risk is spanned and there are no portfolio constraints and the case with non-spanned income risk and a constraint ruling out borrowing against future income. For the spanned, unconstrained problem we study a special case in which we obtain closed-form expressions for the optimal policies. For the unspanned, constrained problem we implement a numerical solution technique and compare the solutions to the spanned, unconstrained problem. We also allow for typical life-cycle variations in labor income.
Author: Holger Kraft
Publisher: Springer Science & Business Media
ISBN: 9783540212300
Category : Business & Economics
Languages : en
Pages : 190
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Book Description
The continuous-time portfolio problem consists of finding the optimal investment strategy of an investor. In the classical Merton problem the investor can allocate his funds to a riskless savings account and risky assets. However, to get explicit results, it is assumed that the interest rates are deterministic and that the assets are default free. In this monograph both assumptions are weakened: The author analyzes and solves portfolio problems with stochastic interest rates and with defaultable assets. Besides, he briefly discusses how portfolio problems with foreign assets can be handled. The focus of the monograph is twofold: On the one hand, the economical problems are carefully explained, on the other hand their formal solution is rigorously presented. For this reason the text should be of interest to researchers with a Finance background as well as to researchers with a more formal background who would like to see how mathematics is applied to portfolio theory. TOC:Preliminaries from Stochastics.- Optimal Portfolios with Stochastic Interest Rates.- Elasticity Approach to Portfolio Optimization.- Barrier Derivatives with Curved Boundaries.- Optimal Portfolios with Dafaultable Assets - A Firm Value Approach.- References.- Abbreviations.- Notations.
Author: Carsten Sørensen
Publisher:
ISBN: 9788790705879
Category :
Languages : en
Pages : 54
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Book Description
We derive an explicit solution to the portfolio problem of a power utility investor with preferences for wealth at a nite investment horizon. The investor can invest in assets with return dynamics described as part of a general multivariate model. The modeling framework encompasses discrete-time VAR-models where some of the state-variables (e.g. expected excess returns) may not be directly observable. A realistic multivariate model is estimated and applied to analyze the portfolio implications of investment horizon and return predictability when real interest rates and expected excess returns on stock and bonds are not directly observed but must be estimated as part of the problem faced by the investor. The solution exhibits small variability in portfolio allocations over time compared to the case when excess returns are assumed observable. JEL Classification: G11 Keywords: Portfolio choice, predictability, VAR, unobserved state-variables, hedging demands.
Author: Julian Hölzermann
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Book Description
This paper studies dynamic asset allocation with interest rate risk and several sources of ambiguity. The market consists of a risk-free asset, a zero-coupon bond (both determined by a Vasicek model), and a stock. There is ambiguity about the risk premia, the volatilities, and the correlation. The investor's preferences display both risk aversion and ambiguity aversion. The optimal investment problem can be solved in closed-form under typical market conditions. The solution shows that the investor does not hedge ambiguity but only risk, while the ambiguity only affects the speculative motives of the investor. An implementation of the optimal investment strategy shows the impact of the different sources of ambiguity. Ambiguity aversion helps to tame the highly leveraged portfolios neglecting ambiguity and leads to strategies that are more in line with popular investment advice. The solution method for the optimal investment problem is based on an extension of the martingale optimality principle.
Author: Linda Sandris Larsen
Publisher:
ISBN:
Category :
Languages : en
Pages : 62
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Book Description
The recent theoretical asset allocation literature has derived optimal dynamic investment strategies in various advanced models of asset returns. But how sensitive is investor welfare to deviations from the theoretically optimal strategy? Will unsophisticated investors do almost as well as sophisticated investors? This paper develops a general theoretical framework for answering such questions and applies it to three specific models of interest rate risk, stochastic stock volatility, and mean reversion and growth/value tilts of stock portfolios. Among other things, we find that growth/value tilts are highly valuable, but the hedging of time-varying stock risk premia is less important.
Author: William Ntambara
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: Soren S Nielson
Publisher: John Wiley & Sons
ISBN: 1444317237
Category : Business & Economics
Languages : en
Pages : 290
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Book Description
In Practical Financial Optimization: A Library of GAMS Models, the authors provide a diverse set of models for portfolio optimization, based on the General Algebraic Modelling System. ‘GAMS’ consists of a language which allows a high-level, algebraic representation of mathematical models and a set of solvers – numerical algorithms – to solve them. The system was developed in response to the need for powerful and flexible front-end tools to manage large, real-life models. The work begins with an overview of the structure of the GAMS language, and discusses issues relating to the management of data in GAMS models. The authors provide models for mean-variance portfolio optimization which address the question of trading off the portfolio expected return against its risk. Fixed income portfolio optimization models perform standard calculations and allow the user to bootstrap a yield curve from bond prices. Dedication models allow for standard portfolio dedication with borrowing and re-investment decisions, and are extended to deal with maximisation of horizon return and to incorporate various practical considerations on the portfolio tradeability. Immunization models provide for the factor immunization of portfolios of treasury and corporate bonds. The scenario-based portfolio optimization problem is addressed with mean absolute deviation models, tracking models, regret models, conditional VaR models, expected utility maximization models and put/call efficient frontier models. The authors employ stochastic programming for dynamic portfolio optimization, developing stochastic dedication models as stochastic extensions of the fixed income models discussed in chapter 4. Two-stage and multi-stage stochastic programs extend the scenario models analysed in Chapter 5 to allow dynamic rebalancing of portfolios as time evolves and new information becomes known. Models for structuring index funds and hedging interest rate risk on international portfolios are also provided. The final chapter provides a set of ‘case studies’: models for large-scale applications of portfolio optimization, which can be used as the basis for the development of business support systems to suit any special requirements, including models for the management of participating insurance policies and personal asset allocation. The title will be a valuable guide for quantitative developers and analysts, portfolio and asset managers, investment strategists and advanced students of finance.
Author: Alexis Collomb
Publisher:
ISBN:
Category : Asset allocation
Languages : en
Pages : 234
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Book Description
Author: Jürgen Pilz
Publisher: Springer Nature
ISBN: 3031066855
Category : Mathematics
Languages : en
Pages : 166
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Book Description
This book provides an overview of the role of statistics in Risk Analysis, by addressing theory, methodology and applications covering the broad scope of risk assessment in life sciences and public health, environmental science as well as in economics and finance. Experimental Design plays a key role in many of these areas, therefore there is special attention paid to joining Risk Analysis and Experimental Design topics. The contributions of this volume originate from the 8th International Conference on Risk Analysis (23-26 April, 2019, Vienna). The conference brought together researchers and practitioners working in the field of Risk Analysis. The most important contributions at the conference have been refereed and developed into chapters to show the latest developments in the field.
