
Journal of Mathematical Finance, 2018, 8, 127-136
http://www.scirp.org/journal/jmf
ISSN Online: 2162-2442
ISSN Print: 2162-2434
10.4236/jmf.2018.81011 Feb. 14, 2018 127
Journal of Mathematical Finance
Mathematical Model of Financial Investment
Risk
Deyu Yin
Rizhao Polytechnic, Rizhao, China
Abstract
This paper establishes the income and risk model in financial investment
based on multi-objective programming theory, aiming to analyze the rel
tionship between risk and return in financial investment and discuss the rel
tionship between the ris
k the investor shall bear and decentralization degree
of investment project. MATLAB software is used to analyze the investor’s o
p-
timized return under fixed risk level and the minimized risk with defined
benefit. In addition, it chooses the optimal portfoli
o under such risk level with
respect to the bearing capacity of different risks. This paper performs sensiti
ity analysis of risk in income model using LINGO software, and puts
the optimal portfolio for the investor without special preference. Calc
ulations
show that the model established is satisfactory in determining the optimal
portfolio.
Keywords
Multi-Objective Programming, Risk Measurement, Income Level, Sensitivity
Analysis, Optimal Portfolio
1. Introduction
Every investor cares about the risk and return of his/her investment in market
economy. Compared with the projects in general, venture investment is charac-
terized by the high investment, high risk, high return, in stages, timeliness and
other features. Many traditional items and new risk factors which haven’t ap-
peared in investment will be produced in the investment process due to these
characteristics. The new factors make the investors not only perform the con-
ventional investment feasibility analysis when choosing project, but also discuss
the source and constitution of the project implementation risk in-depth, and es-
timate the probability of risk and the potential damage to investor, so as to
Yin, D.Y. (2018
)
Mathematical Model of Financial Inves
t-
Risk.
Journal of Mathematical Finance
, 127-136.
https://doi.org/10.4236/jmf.2018.81011
January 17, 2018
February 11, 2018
February 14, 2018
8 by author and
Research Publishing Inc.
This work is licensed under the Creative
Commons Attribution International
4.0).
http://creativecommons.org/licenses/by/4.0/
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