Question
1. AT&T had stock prices at the beginning of each year and the total dividend paid during the year in the past four years as
1. AT&T had stock prices at the beginning of each year and the total dividend paid during the year in the past four years as the following. Assuming you invested in AT&T at the beginning of each year:
Year | Beginning of Year Price | Annual dividend |
2010 | 29.68 | 1.68 |
2011 | 30.46 | 1.72 |
2012 | 34.39 | 1.76 |
2013 | 35.24 | 1.80 |
(Data source: Yahoo Finance)
Find the annual HPR (Holding period return) for each year of 2010, 2011, and 2012.
What is the arithmetic average return for those 3 years?
What is the geometric average return for those 3 years?
2. You have the following information for a risky portfolio for several recent years. Assume that the stock pays no dividends.
2008 : $50.00
2009: $55.00
2010: $51.00
2011: $54.00
What is the standard deviation of the returns for the period? (Step 1: Find annual holding period returns. Step 2: Find the arithmetic average return. Step 3: Calculate standard deviation)
3.A loan for a new car costs the borrower 0.8% per month. What is the EAR?
4. You are considering investing $1,000 in a complete portfolio. The complete portfolio is composed of Treasury bills that pay 5% and a risky portfolio, P, constructed with two risky securities, X and Y. The optimal weights of X and Y in P are 60% and 40%, respectively. X has an expected rate of return of 14%, and Y has an expected rate of return of 10%. The risky portfolio, P, has a standard deviation of 0.7. Assuming you decide to hold a complete portfolio that has an expected return of 8%:
What is the expected return of your risky portfolio?
What is the weight you invested in Treasury bills? What is the weight you invested in risky portfolio? (hint: rc = wp*rp + wf*rf; and wf = 1-wp)
What is the variance of the complete portfolio?
What is the price of risk of the complete portfolio?
What is the sharp ratio of the CAL?
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