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http://dx.doi.org/10.7737/KMSR.2013.30.1.167

Optimal Asset Allocation with Minimum Performance and Inflation Risk  

Lim, Byung Hwa (수원대학교 금융공학대학원)
Publication Information
Korean Management Science Review / v.30, no.1, 2013 , pp. 167-181 More about this Journal
Abstract
We investigate the dynamic asset allocation problem under inflation risk when the wealth of an investor is constrained with minimum requirements. To capture the investor's risk preference, the CRRA utility function is considered and he maximizes his expected utility at predetermined date of the refund by participation in the financial market. The financial market is supposed to consist of three kinds of financial instruments which are a risk free asset, a risky asset, and an index bond. The role of an index bond is managing inflation risk represented by price process. The optimal wealth and the optimal asset allocation are derived explicitly by using the method to get the European call option pricing formula. From the numerical results, it is confirmed that the investments on index bond is high when the investor's wealth level is low. However, as his wealth increases, the investments on index bond decreases and he invests on risky asset more. Furthermore, the minimum wealth constraint induces lower investment on risky asset but the effect of the constraints is reduced as the wealth level increases.
Keywords
Asset Allocation; Inflation Risk; Index Bond; Minimum Performance;
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Times Cited By KSCI : 1  (Citation Analysis)
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1 김성문, 김홍선, "한국 주식시장에서 비선형계획법을 이용한 마코위츠의 포트폴리오 선정 모형의 투자 성과에 관한 연구", 경영과학, 제26호, 제2권(2011), pp.19-35   과학기술학회마을
2 Basak, S. and A. Shapiro, "Value-at-Risk- Based Risk Management：Optimal Policies and Asset Prices," The Review of Financial Studies, Vol.14, No.2(2001), pp.371-405.   DOI   ScienceOn
3 Black, F. and M. Sholes, "The Pricing of Options and Corporate Liabilities," Journal of Political Economics, Vol.81(1973), pp.737-654.
4 Boyle, P. and W. Tian, "Portfolio management with constraints," Mathematical Finance, Vol.17, No.3(2007), pp.319-343.   DOI   ScienceOn
5 Brennan, M.P. and Y. Xia, "Dynamic Asset Allocation under Inflation," Journal of Finance, Vol.57(2002), pp.1201-1238.   DOI   ScienceOn
6 Cox, J.C. and C.F. Huang, "Optimal consumption and portfolio policies when asset prices follow a diffusion process," Journal of Economic Theory, Vol.49(1989), pp.33-83.   DOI
7 Cuoco, D., H. He, and S. Isaenko, "Optimal Dynamic Trading Strategies with Risk Limits," Operations Resarch, Vol.56, No.2(2008), pp.358-368.   DOI   ScienceOn
8 Dudley, W., T. Macirowsk, H. Richman, S. Strongin, and J. Youngdahl, "Treasruty Infaltion- Protection Securities : A Useful Tool, But Not a Cure-all," mimeo, Golman Sachs Investment Research/Fixed Income Research, 1996.
9 Gong, N. and T. Li, "Role of index bonds in an optimal dynamic asset allocation model with real subsistence consumption," Applied Mathematics and Computations, Vol.174(1974), pp.710-731.
10 Karatzas, I., J. Lehoczky, and S. Shreve, "Optimal portfolio and consumption decisions for a 'small investor' on a finite horizon," SIAM Journal of Control and Optimization, Vol.25(1987), pp.1557-1586.   DOI   ScienceOn
11 Kothari, S.P. and J. Shanken, "Asset allocation with inflation-protected bonds," Financial Analyst Journal, Vol.60(2004), pp.54-70.
12 Lakner P. and L.M. Nygren, "Portfolio optimization with downside constraints," Mathematical Finance, Vol.16, No.2(2006), pp.283- 299.   DOI   ScienceOn
13 Markowitz, H., "Portfolio selection," Journal of Finance, Vol.7(1952), pp.77-91.
14 Merton, R.C., "Lifetime portfolio selection under uncertainty : the continuous-time case," The Review of Economics and Statistics, Vol.21(1969), pp.247-257.
15 Merton, R., "Optimum, consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Vol.3(1971), pp. 373-411.   DOI
16 Pirvu, T.A., "Portfolio optimization under the Value-at-Risk constraint," Quantitative Finance, Vol.7, No.2(2007), pp.125-136.   DOI   ScienceOn
17 Tepla, L., "Optimal investment with minimum performance constraints," Journal of Economic Dynamics and Control, Vol.25(2001), pp. 1629-1645.   DOI   ScienceOn
18 Yiu, K.F.C., "Optimal portfolios under a value-at-risk constraint," Journal of Economic Dynamics and Control, Vol.28(2004), pp.1317-1334.   DOI   ScienceOn