preview

Investment Theory

Satisfactory Essays

Name: Assignment 4 Due Monday October 11 HBS Case: Harvard Management Company The objective of studying this case is to understand the concepts of diversification and the efficient frontier by analyzing Harvard Management Company’s application of portfolio theory for managing the endowment of Harvard University. Please read the case carefully and be prepared to discuss the following questions in class on Monday, October 11. • What is the role and importance of Harvard's endowment? • What is Harvard's Policy Portfolio? How is this portfolio determined? • How does HMC develop its capital market assumptions? What is the US equity premium implied in HMC's capital market assumptions? • Why did HMC constrain the …show more content…

To maximize the utility function, we used the formula: y*= [E(rP) – rf]/Aσ2P y*= (0.05317204-0.03)/(7*(0.100786)^2) = 32.58860806% So the investor will invest 32.58860806% of the investment budget in the risky asset and 67.41139194% in the risk-free asset. Cash: 67.41139194%*100,000 = $67,411.39 The investor allocation among the risky asset will be Equity: (0.526881735*32.58860806%) = 17.17034236% 17.17034236%*100,000 = $17,1703.42 Bonds: (0.473118265* 32.58860806%) = 15.4182657% 15.4182657%*100,000 = $15,418.66 The shape ratio of the investor optimal complete portfolio is 0.2299132 or 22.99132% Q2. Provide a full-page plot of the Capital Allocation Line for the case in Q1. Label the axes and locate cash, D. Equity, D. Bonds, and your optimal complete portfolio clearly on the plot. You may draw this plot by hand. [pic] Q3. Suppose you want to add commodities into your investment opportunity set in addition to cash, domestic equity, and domestic bonds. What is your optimal asset allocation decision in this case, i.e., how should you allocate your fund across cash, domestic equity, domestic bonds, and commodities? What is the Sharpe ratio of your optimal complete portfolio? To maximize the utility function, we used the formula: y*= [E(rP) – rf]/Aσ2P y*= (0.05317204-0.03)/(7*(0.0627)^2) = 81.76160279% So the investor will invest 81.76160279% of the investment budget in the risky asset and 18.23839721% in the

Get Access