Hostname: page-component-76fb5796d-45l2p Total loading time: 0 Render date: 2024-04-25T20:24:00.569Z Has data issue: false hasContentIssue false

RISK MANAGEMENT OF FINANCIAL CRISES: AN OPTIMAL INVESTMENT STRATEGY WITH MULTIVARIATE JUMP-DIFFUSION MODELS

Published online by Cambridge University Press:  11 May 2017

Chou-Wen Wang
Affiliation:
Department of Finance, National Sun Yat-sen University, Kaohsiung, Taiwan Fellow of Risk and Insurance Research Center, College of Commerce, National Chengchi University, Taipei, Taiwan E-Mail: chouwenwang@gmail.com
Hong-Chih Huang*
Affiliation:
Department of Risk Management and Insurance, Fellow of Risk and Insurance Research Center, College of Commerce, National Chengchi University, Taipei, Taiwan

Abstract

This paper provides an optimal asset allocation strategy to enhance risk management performance in the face of a financial crisis; this strategy entails constructing a good asset model – a multivariate jump-diffusion (MJD) model which includes idiosyncratic and systematic jumps simultaneously – and choosing suitable asset allocations and objective functions for fund management. This study also provides the dependence structure for the MJD model. The empirical implementation demonstrates that the proposed MJD model provides more detailed information about the financial crisis, allowing fund managers to determine an appropriate asset allocation strategy that enhances investment performance during the crisis.

Type
Research Article
Copyright
Copyright © Astin Bulletin 2017 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

*

The first author was supported by the MOST102-2410-H-327-001-MY3 from the Ministry of Science and Technology, Taipei, Taiwan.

References

Barndorff-Nielsen, O.E., Pedersen, J. and Sato, K. (2001) Multivariate subordination, self decomposition and stability. Advances in Applied Probability, 33, 160187.Google Scholar
Battocchio, P. and Menoncin, F. (2004) Optimal pension management in a stochastic framework. Insurance: Mathematics and Economics, 34, 7995.Google Scholar
Blake, D., Cairns, A. and Dowd, K. (2001) PensionMetrics: Stochastic pension plan design and value-at-risk during the accumulation phase. Insurance: Mathematics and Economics, 29, 187215.Google Scholar
Blake, D., Cairns, A. and Dowd, K. (2003) PensionMetrics II: Stochastic pension plan design during the distribution phase. Insurance: Mathematics and Economics, 33, 2947.Google Scholar
Boulier, J.F., Huang, S. and Taillard, G. (2001) Optimal management under stochastic interest rates: The case of a protected defined contribution pension fund. Insurance: Mathematics and Economics, 28, 173189.Google Scholar
Chen, P., Yang, H. and Yin, G. (2008) Markowitz's mean-variance asset liability management with regime switching: A continuous-time model. Insurance: Mathematics and Economics, 43, 456465.Google Scholar
Chiu, M.C. and Li, D. (2006) Asset and liability management under a continuous-time mean–variance optimization framework. Insurance: Mathematics and Economics, 39, 330355.Google Scholar
Clark, P. (1973) A subordinated stochastic process model with finite variance for speculative prices. Econometrica, 41, 135156.Google Scholar
Cont, R. and Tankov, P. (2004) Financial Modelling with Jump Processes. London: Chapmanand Hall.Google Scholar
Deelstra, G., Grasselli, M. and Koehl, P.F. (2003) Optimal investment strategies in the presence of a minimum guarantee. Insurance: Mathematics and Economics, 33, 189207.Google Scholar
Delong, L. (2010) An optimal investment strategy for a stream of liabilities generated by a step process in a financial market driven by a Levy process. Insurance: Mathematics and Economics, 47, 278293.Google Scholar
Detemple, J. and Rindissbacher, M. (2008) Dynamic asset liability management with tolerance for limited shortfalls. Insurance: Mathematics and Economics, 43, 281294.Google Scholar
Devolder, P., Bosch, P.M. and Dominguez, F.I. (2003) Stochastic optimal control of annuity contracts. Insurance: Mathematics and Economics, 33, 227238.Google Scholar
Eberlain, E. and Madan, D.B. (2010) On correlating Lévy processes. J. Risk, 13, 316.CrossRefGoogle Scholar
Emms, P. and Haberman, S. (2007) Asymptotic and numerical analysis of the optimal investment strategy for an insurer. Insurance: Mathematics and Economics, 40, 113134.Google Scholar
Gao, J. (2009) Optimal portfolios for DC pension plans unfer a CEV model. Insurance: Mathematics and Economics, 44, 479490.Google Scholar
Geman, H. and Ané, T. (2000) Order flow, transaction clock, and normality of asset returns. Journal of Finance, 55 (5), 22592284.Google Scholar
Geman, H., Madan, D.B. and Yor, M. (2001) Time changes for Lévy processes. Mathematical Finance, 11, 7996.CrossRefGoogle Scholar
Haberman, S. and Vigna, E. (2002) Optimal investment strategy and risk measures in defined contribution pension schemes. Insurance: Mathematics and Economics, 31, 3569.Google Scholar
Hainaut, D. and Devolder, P. (2007) Management of a pension fund under mortality and financial risks. Insurance: Mathematics and Economics, 41, 134155.Google Scholar
Harris, L. (1986) Cross-security tests of the mixture of distributions hypothesis. Journal of Financial and Quantitative Analysis, 21, 3946.Google Scholar
Huang, H.C. (2010) Optimal multi-period asset allocation: Matching assets to liabilities in a discrete model. Journal of Risk and Insurance, 77 (2), 451472.CrossRefGoogle Scholar
Karpoff, J. (1987) The relation between price changes and trading volume: A survey. Journal of Financial and Quantitative Analysis, 22, 109126.CrossRefGoogle Scholar
Landsman, L. (2010) On the Mean-Variance optimal portfolio selection. Insurance: Mathematics and Economics, 46, 547553.Google Scholar
Lo, A.W. and Wang, J. (2000) Trading volume: Definitions, data analysis, and implications of portfolio theory. Review of Financial Studies 13 (2), 257300.Google Scholar
Luciano, E. and Schoutens, W. (2006) A multivariate jump-driven financial asset model. Quantitative Finance, 6 (5), 385402.CrossRefGoogle Scholar
Luciano, E. and Semeraro, P. (2010) Multivariate time changes for Lévy asset models: Characterization and calibration. Journal of Computational and Applied Mathematics, 233 (8), 19371953.Google Scholar
Mandelbrot, B.B. and Taylor, H.W. (1967) On the distribution of stock price differences. Operations Research, 15, 10571062.Google Scholar
Merton, R.C. (1976) Option pricing when underlying stock returnsare discontinuous. Journal of Financial Economics, 3, 125144.Google Scholar
Richardson, M. and Smith, T. (1994) A direct test of mixture distribution hypothesis: Measuring the daily flow of information. Journal of Financial and Quantitative Analysis, 29, 10116.CrossRefGoogle Scholar
Semeraro, P. (2008) A multivariate variance gamma model for financial application. Journal of Theoretical and Applied Finance, 11, 118.CrossRefGoogle Scholar
Sharpe, W.F. and Tint, I.G. (1990) Liabilities: A new approach. Journal of Portfolio Management, 16 (2) (Winter), 510.Google Scholar
Sherris, M. (1992) Portfolio selection and matching: A synthesis. Journal of the Institute of Actuaries, 119 (I), 87105.Google Scholar
Vigna, E. and Haberman, S. (2001) Optimal investment strategy for defined contribution pension schemes. Insurance: Mathematics and Economics, 28, 233262.Google Scholar
Wang, Z., Xia, J. and Zhang, L. (2007) Optimal investment for an insurer: The martingale approach. Insurance: Mathematics and Economics, 40, 322334.Google Scholar
Wilkie, A.D. (1985) Portfolio selection in the presence of fixed liabilities: A comment on “The Matching of Assets to Liabilities''. Journal of Institute of Actuaries, 112, 229277.Google Scholar
Wise, A.J. (1984a) A theoretical analysis of the matching of assets to liabilities. Journal of Institute of Actuaries, 111 (II), 375402.Google Scholar
Wise, A.J. (1984b) The matching of assets to liabilities. Journal of the Institute of Actuaries, 111 (II), 445501.CrossRefGoogle Scholar
Wise, A.J. (1987a) Matching and portfolio selection: Part 1. Journal of Institute of Actuaries, 114, 113133.Google Scholar
Wise, A.J. (1987b) Matching and portfolio selection: Part 2. Journal of Institute of Actuaries, 114, 551568.CrossRefGoogle Scholar
Zhao, H. and Rong, X. (2012) Portfolio selection problem with multiple risky assets under the constant elasticity of variance model. Insurance: Mathematics and Economics, 50, 179190.Google Scholar