The following are monthly returns for share ABC and DEF respectively: ABC DEF Month 1. 0.07 -0.04 006 -0.07 012 -0.02 0.05 -0.02 -0.10 015 0.06 002 4. 6.
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- If a game gives payoffs of $10 and $100 with probabilities 0.9 and 0.1, respectively, then the expected value of this game is E=0.9+0.1= .b) You decide to buy 10,000 shares of each company. If the covariance between ABC and XYZ is 0, what is the expected return and standard deviation of your portfolio over the next year? 1Suppose a world has two risky assets: HotPot and IceCream. The following table shows the holding period returns in each scenario. Suppose the T-bill rate is 5%. Scenario Probability Return (HotPot) Return (IceCream) Rainy 0.02 10% -5% Snowy 0.03 15% -15% Windy 0.9 10% 8% Sunny 0.05 -10% 25% Which answer is the closest value to the fifth-percentile value at risk (VaR) of holding IceCream? A. -15% B. -5% C. 25% D. -10%
- 2. Suppose we have a stock trader who is interested to see if a new trading strategy will earn her more money. In order to see if the new strategy works, she will collect data on her profit 60 days before the change and 60 days after the change. She’s been trading for a long time, so she knows the population standard deviation of profit: o1= $22 (after the new strategy), and o2=$31 (before the new strategy). Sample 1 (after the new strategy) Sample 2 (before the new strategy) n1=60 n2=60 x1=$315 x2=$299 What is the point estimate for the difference in profit before and after the new strategy? a. $16 b. $21 c. $8 d. None of the above. 3. Calculate a 95% interval estimate for the difference. What is the margin of error? a. 16 b. 4.91 c. 10.12 d. 9.62 4. What is the result for the 95% interval estimate? (Note that with rounding you may be off by a few decimals, just…Consider the following time series of returns for ABC stock and the S&P500 Index over 5 years. For ABC it's -6, 3, 5, 12, -15 and for S&P 500 it's -4, 2, 3, 6, -11. 13. What is the covariance of the minimum variance portfolio with the S&P index: (a) -3.22; (b) 4.81; (c) 9.32; (d) 5.67
