Statement of Problem
Partners Healthcare had established several financial resources pools, such as the short-term pool (STP) and the LTP, so that they can satisfy different needs of the several hospitals in the network. In more detail, the STP was invested with very high-quality, short-term fixed-income financial instruments. The average maturity of these instruments is about one to two years. STP is always treated as the risk-free part of the hospitals’ holdings. On the other hand, the LTP is thought as the risky part of holdings. It consists of different forms of equity and a smaller fixed-income part.
In order to diversify the risks of the LTP, the Partners Investment Committee introduced a new type of assets, real assets, into…show more content… E(Rp)= 0.55(0.1294)+0.30(0.1242)+0.15(0.054) = 10.8%
In order to find the optimal portfolio allocation, the group needs to find the portfolio structured with lowest risk under a given return. This can be achieved by applying Mean-Variance Theory and Markowitz model find the efficient frontier, which yields the most optimal portfolio under given returns. It can be expressed in mathematical terms and solved by quadratic programming. [Appendix A]
In this case, the Partner’s Treasury Department has computed all the portfolios for minimum level of risk with different types of assets, more specifically, adding Real Estate Investment Trusts (REITs), Commodities or both, from an undefined approach. Since the results are identical as calculated from Mean-Variance Theory, they should be the optimal portfolios for each target level of return. Therefore a graph with efficient frontier, which represents the optimal portfolios with different assets, is constructed based on Exhibit 5 to 8 for comparison. [Appendix B] Technically, any portfolio on the efficient frontier is an optimized portfolio and is indifferent from each other in terms of risk/return trade off.
From the Risk VS Return graph, we can see that for any given return, the portfolio with both REITs and commodities would yield the lowest risk. Also, the portfolio with only commodities would