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This work called "Portfolio Management-Efficient Portfolio and Investment Fund" describes an efficient portfolio constructed using mean-variance optimization as a quantitative tool that enables making asset allocation by considering the trade-off between risk and return…
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Portfolio Management-Efficient Portfolio and Investment Fund al affiliation: Efficient Portfolio Below is an efficient portfolio constructed using mean variance optimization as a quantitative tool that enables making asset allocation by considering trade –off between risk and return.
Correlation Matrix
Covariance Matrix
Optimal Completed Risky portfolio (unrestricted)
Results
Risk-free Asset
Optimal Risky portfolio Overall
Return
3.01
14.645
11.46
Risk
0
18.747
11.82
Optimal position
0.3
0.4373
Optimal completed Risky portfolio (restricted)
Risk-free Asset
Optimal Risky portfolio Overall
Return
3.01
13.705
8.56
Risk
0
15.547
9.282
Optimal position
0.28
0.4973
Investment Fund
Rebalancing or Asset Allocation
Asset Class
Target
Minimum
Maximum
Credit/Intermediate Government
40%
35%
45%
Small- cap value equity
6%
3%
9%
Emerging market equity
5%
2%
8%
Total US equity
30%
25%
35%
Investment policies
Long term investments are diverse to minimize the chances of potential loses unless it is determined by the concerned parties such as the finance committee. The long term portfolio purpose could be served effectively with no diversification due to certain special situations. Utilization of funds is in a productive manner. In this case short term funds should provide return, liquidity as well as safety (Aggarwal and Wysocki 2005). Investment manager are required to make an effort of preserving capital and they should keep in mind that there may be losses in individual securities (Carmichael and Pomerleano 2002). The investment managers are required to stick to investment management styles which are their responsibility (Catalan and Musalem 2000).
Investment Fund Objectives
The major objective of investment fund is to offer a current income that is high enough through investing in securities with fixed income. The investment fund aims at capital appreciation but on condition that it is in line with the core investment objective. The limitations and objectives of the investment fund which are at a low level in investment restrictions are considered to be key policies which could not be altered without being approved by the holder’s outstanding majority shares (Gompers and Metrick 2001). For the needs to be met long term investment strategy is required to put more emphasis on total return; these include interest income, dividend and aggregate return as a result of capital appreciation (Aitken et al. 2007).
Asset allocation strategies
In terms of money investment, there is consideration of long term financial goals as well as risk tolerance (Carmichael and Pomerleano 2002).The strategies to be considered in this case include; asset allocation across key asset classes that include cash, bond and stocks. This enables appropriate handling of optimal returns for the risks to be undertaken (Harvey et al. 2003).
Asset class diversification which gives an opportunity of various investments styles like value stock and growth as well as market sectors like corporate bonds and government (Scherer 2002).
Portfolio allocation could be shifted by market activity and rebalancing could help in maintaining the allocation of interest (Scherer 2002).
Benchmarking
This is considered to be a tool for investment professionals and investors and it is used in evaluating the investment manager results (Markowitz 1991). The process of benchmarking is known to be straight forward and it is very easy to match any investment to a standard of required benchmark like (Bernstein and Wilkinson 1997). The action of the manager could be obscured by common methods of determining the relevant benchmark (Markowitz 1991). This is considered to be the only appropriate way of selecting a benchmark that is relevant as well as proceed accordingly. It is pertinent to note that when benchmarks (Markowitz 1991).
Constraints
High interest rates could lead to consideration of alternatives to traditional bond funds that include fixed income that is nontraditional or unconstrained. Funds of such kind are free from constrains emerging from benchmark that gives an opportunity in terms of global markets as well as sectors. Furthermore, derivatives are actively transacted than the traditional core-bond.
The size of fund could influence the way managers transact in credit market as well as in global fixed income. In this case, large funds could gain access through derivatives contracts.
Rationale behind portfolio construction
Constructed effective portfolio is very critical for the success of long term investment. Holding assets with expected returns that is high are seen not to correlate with each other and are known to be the major elements for the returns as well as risk management of the portfolio. Diversification is also considered to be a key factor and it is measured by the level of holdings correlation in a portfolio
Characteristics of the portfolio
This is a moderate portfolio since it is relevant for an investor who has a risk tolerance that is moderately high as well as having a time horizon which is longer than five years. Moderate investors tend to accept moderate market volatility periods. The portfolio tends to provide income as well as capital appreciation in 3 key areas that include cash, bonds and stocks (Carmichael and Pomerleano 2002). The portfolio seems to hold huge positions in stock when compared with conservative allocation portfolio. In this case, such kind of portfolio usually has 50 to 70 percent assets in equities and the extra in cash as well as fixed income (Carmichael and Pomerleano 2002).
Appendix: Investment Portfolio
YEAR
GOOG
FORD
BAC
YHOO
AAPL
TWTR
2014
7.6%
14.7%
447.5%
2.2%
(2.5%)
32.6%
2013
111.5%
57.2%
9.4%
104.7%
(7.7%)
217.1%
2012
(39.3%)
(52.0%)
(32.8%)
(59.4%)
53.7%
(75.2%)
2011
28.8%
24.5%
5.9%
28.8%
(0.1%)
(18.3%)
2010
17.4%
(1.5%)
10.8%
(4.8%)
29.3%
(5.0%)
2009
(10.6%)
31.8%
2.5%
67.0%
(11.8%)
2.6%
2008
59.1%
5.0%
24.6%
12.9%
32.3%
(40.1%)
2005
158.1%
80.9%
86.5%
215.1%
43.5%
151.4%
ANNUAL RETURN(AVERAGE
41.6%
20.1%
69.3%
45.8%
17.1%
33.1%
Std Dev
61.2%
37.3%
146.3%
78.6%
23.8%
93.5%
CORRELATION MATRIX
GOOG
FORD
BAC
YHOO
AAPL
TWTR
GOOG
1.0000
FORD
0.8357
1.0000
BAC
0.7284
0.7304
1.0000
YHOO
0.8727
0.9371
0.7274
1.0000
AAPL
0.0598
(0.3921)
0.0434
(0.0968)
1.0000
TWTR
0.8155
0.8299
0.5234
0.7946
(0.2941)
1.0000
FB
0.5725
0.6371
0.7796
0.6661
0.0184
0.6635
MSFT
0.6137
0.6483
0.9421
0.5663
(0.0827)
0.4882
SIRI
0.4409
0.5695
0.7488
0.3698
(0.4099)
0.4400
PFE
0.6607
0.8702
0.5515
0.8533
(0.4202)
0.8670
CORRELATION MATRIX
GOOG
FORD
BAC
YHOO
AAPL
TWTR
GOOG
0.3742
0.1911
(0.0231)
0.4199
0.0093
0.4665
FORD
0.1911
0.1394
0.0628
0.2758
(0.0344)
0.2897
BAC
(0.0231)
0.0628
2.1406
(0.0284)
(0.0948)
0.1585
YHOO
0.4199
0.2758
(0.0284)
0.6185
(0.0178)
0.5855
AAPL
0.0093
(0.0344)
(0.0948)
(0.0178)
0.0568
(0.0650)
TWTR
0.4665
0.2897
0.1585
0.5855
(0.0650)
0.8745
FB
0.1214
0.0824
0.2411
0.1830
0.0011
0.2156
MSFT
0.1766
0.1136
0.4770
0.2118
(0.0101)
0.2151
SIRI
0.0917
0.0722
0.3577
0.1006
(0.0341)
0.1405
PFE
0.4216
0.3391
0.2481
0.7019
(0.1044)
0.8468
STANDARD DEVIATION OF PORTFOLIO
MINIMIZED RISK
Equal-
Min
Long
0% to 25%
5% to 15%
Weighted
Var
Only
Weights
Weights
Stock
Portfolio
Stock
Portfolio
Portfolio
Portfolio
Portfolio
GOOG
10.00%
ARO
(43.08%)
0.00%
0.00%
5.00%
FORD
10.00%
ARW
87.99%
16.98%
25.00%
15.00%
BAC
10.00%
ASI
7.72%
0.00%
0.00%
15.00%
YHOO
10.00%
GLW
(14.02%)
0.00%
0.00%
5.00%
AAPL
10.00%
GTIV
70.77%
59.67%
25.00%
15.00%
TWTR
10.00%
KLIC
18.61%
0.00%
0.00%
5.00%
FB
10.00%
MKSI
(28.90%)
0.00%
25.00%
15.00%
MSFT
10.00%
OME
1.61%
0.00%
0.00%
5.00%
SIRI
10.00%
PL
5.13%
23.35%
25.00%
15.00%
PFE
10.00%
SNDK
(5.83%)
0.00%
0.00%
5.00%
WEIGHTS(SUM)
100.00%
Sum of Weights
100.00%
100.00%
100.00%
100.00%
EXPECTED RETURN
32.71%
Expected Return
11.20%
15.83%
14.29%
29.00%
STANDARD DEVIATION OF PORTFOLIO
47.36%
Std Dev
9.70%
14.12%
21.40%
41.21%
References
Harvey, Campbell R., John C. Liechty, Merrill W. Liechty, and Peter Müller. (2003). “Portfolio Selection with Higher Moments.” Working Paper, October 16.
Scherer, Bernd. (2002). “Portfolio Resampling: Review and Critique.” Financial Analysts Journal, November/December , 98-109.
Markowitz, Harry M., Portfolio Selection, second edition, Blackwell (1991).
Bernstein, William J. and Wilkinson, David, (1997).Diversification, Rebalancing and the Geometric Mean Frontier, research manuscript
AggarwalR, Klapper L and Wysocki P (2005), Portfolio Preferences of Foreign Institutional Investors‖,Journal of Banking and Finance, 29, pp. 2919-2946.
Carmichael J and PomerleanoM(2002), The Development and Regulation of Non-Bank Financial Institutions, World Bank
Catalan M, Impavido G and Musalem A (2000),Contractual Savings or Stock Market Development: Which Lead?‖,Journal of Applied Social Studies, 120:3
Gompers P and Metrick A (2001), Institutional Investors and Equity Prices‖,Quarterly Journal of Economics, 116, pp. 229-259
Aitken M, Almeida N, de Harris FH and McInish TH (2007), Liquidity Supply in Electronic Markets‖,Journal of Financial Markets, 10, pp. 144-168.
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