Paper Info
Title
Investor-friendly and robust portfolio selection model integrating forecasts for financial tendency and risk-averse.
Abstract
This paper proposes an investor-friendly random fuzzy portfolio selection model considering both robustness and adjustment of future asset returns derived from investor’s forecasts for financial tendency using a fuzzy inference method. It is important to predict the price or the return of each asset appropriately considering current market trends in portfolio optimization. In this paper, a standard multi-factor model, namely Arbitrage Pricing Theory (APT), is introduced as an asset pricing model. In addition, in order to extend standard APT by integrating important rules of current markets trends derived from technical analysis and fundamental analysis, each factor of APT is assumed to be a random fuzzy variable whose mean is adjusted by the fuzzy reasoning method, particularly product–sum-gravity method. Furthermore, it is also important for the investor to reduce the worst case of the total loss in terms of risk-averse. Therefore, worst-case conditional Value-at-Risk, which is a robust programming approach without assuming some specific random distribution, is considered. Since the proposed model is formulated as a biobjective programming problem both minimizing the value of worst-case conditional Value-at-Risk and maximizing the total expected return, it is equivalently transformed into the deterministic nonlinear programming problem using the satisficing trade-off method, and the efficient algorithm to obtain the optimal portfolio is developed. By solving our proposed model, the investor can obtain the risk-averse optimal portfolio with the large total return complying with current market trends.
Year
DOI
Venue
2018
10.1007/s10479-017-2458-7
Annals OR
Keywords
Field
DocType
Portfolio selection problem, Random fuzzy programming, Fuzzy reasoning method, Worst-case conditional Value-at-Risk, Efficient algorithm
Total return,Mathematical optimization,Replicating portfolio,Capital asset pricing model,Portfolio,Portfolio optimization,Finance,Arbitrage pricing theory,Expected return,Mathematics,Technical analysis
Journal
Volume
Issue
ISSN
269
1-2
1572-9338
Citations 
PageRank 
References 
2
0.37
10
Authors
2
Name
Order
Citations
PageRank
Takashi Hasuike110920.39
Mukesh Kumar Mehlawat227522.90