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- The information contained in the table below shows the expected return and standard deviation for the market and Treasury Bills. Market Data Rate of Return Standard Deviation Treasury Bills 4.25% 0.00% S&P 500 12.00% 21.00% Required: Using the information in the table above and the varying risk aversions below, please calculate allocations to the risky and risk-free assets. (Use cells A5 to C6 from the given information to complete this question.) Risk Aversion Percent Allocated to the Market (S&P 500) Percent Allocated to Treasury Bills 4.00 2.00 1.50Market Data Rate of Return Standard Deviation Treasury Bills 4.25% 0.00% S&P 500 12.00% 21.00% Required: Using the information in the table above and the varying risk aversions below, please calculate allocations to the risky and risk-free assets. (Use cells A5 to C6 from the given information to complete this question.) Risk Aversion Percent Allocated to the Market (S&P 500) Percent Allocated to Treasury Bills 4.00 2.00 1.50In the table below x denotes the X-Tract Company’s projected annual profit (in $1,000). The table also shows the probability of earning that profit. The negative value indicates a loss. x f(x) x = profit -100 0.01 f(x) = probability -200 0.04 0 100 0.26 200 0.54 300 0.05 400 0.02 8 What is the expected value of profit? a $136 b $142 c $148 d $154
- D&R A3 6-3 Question 6. VAR Calculation A firm has a portfolio composed of stock A and B with normally distributed returns. Stock A has an annual expected return of 15% and annual volatility of 20%. The firm has a position of $100 million in stock A. Stock B has an annual expected return of 25% and an annual volatility of 30% as well. The firm has a position of $50 million in stock B. The correlation coefficient between the returns of these two stocks is 0.3. If the firm sells $10 million of stock A and buys $10 million of stock B, by how much does the 5% annual VAR change?D&R A3 6-1 Question 6. VAR Calculation A firm has a portfolio composed of stock A and B with normally distributed returns. Stock A has an annual expected return of 15% and annual volatility of 20%. The firm has a position of $100 million in stock A. Stock B has an annual expected return of 25% and an annual volatility of 30% as well. The firm has a position of $50 million in stock B. The correlation coefficient between the returns of these two stocks is 0.3. What is the 5% daily VAR for the portfolio? Assume 365 days per year.A share of stock in Enbridge Inc. pays an annual dividend of $3.34, and the dividend is expected to grow at 2%, on average, in the foreseeable future. The current market price is $44.58/share. Below are the three individuals based on risk perception by each individual (from low to high). Identify who will likely be a buyer or a seller of this stock. (Each individual currently owns 100 shares.) Individual X has a discount rate of 5% Individual Y has a discount rate of 8% Individual Z has a discount rate of 11%
- D&R A3 6-1 Question 6. VAR Calculation A firm has a portfolio composed of stock A and B with normally distributed returns. Stock A has an annual expected return of 15% and annual volatility of 20%. The firm has a position of $100 million in stock A. Stock B has an annual expected return of 25% and an annual volatility of 30% as well. The firm has a position of $50 million in stock B. The correlation coefficient between the returns of these two stocks is 0.3. Compute the 5% annual VAR for the portfolio. Interpret the resulting VAR.17.1You’re the manager of global opportunities for a U.S manufacturer who is considering expanding sales into Asia. Your market research has identified the market potential in Malaysia, Philippines and Singapore's described next: Big Mediocre Failure Malaysia Probability 0.3 0.3 0.4 Units 12,000,000 600,000 0 Phillipines Probability 0.3 0.5 0.2 Units 1,000,000 320,000 0 Singapore Probability 0.7 0.2 0.1 Units 700,000 400,000 0 The product sells for $10 and has unit cost of $8. If you can enter only one market, and the cost of entering the market( Regardless of which market you select) is $250,000, should you enter on of these markets? I so, which one? If you enter, what is your expected profit?7. Even if we can't exactly establish the actual cost of a stock out, in most cases we can still determine an appropriate level for safety stock. True False
- Given the following information what is the appropriate amount of safety stock and when should the item be reordered?Lead time average demand = 500 itemsStandard deviation of lead time demand = 48 items (assuming normality)Acceptable stock-out risk during lead time = 3%Eunice, the industry analyst of H&M, wants to determine the propensity of Major Clothingcompanies toward risk. She was able to determine the utility distribution of H&M, Uniqloand Dickies. For H&M, If the expected payoff of a venture is a loss of 125,000, the utilityvalue is 0.00, if a loss of 75,000, the utility value is .2, if breakeven, the utility value is .5,if gain of 75,000 .8 and if gain of 125,000 utility value is 1. For Uniqlo, if loss of 125,000utility value is 0, if loss of 75,000 utility value is .1, breakeven is .4, if a gain of 75,000,utility value is .7 and if gain of 125,000 utility value is 1. For Dickies, if loss of 125,000,utility value is 0, if loss of 75,000, utility value is .3 breakeven is .6, if gain of 75,000, utilityvalue is .9 and gain of 125,000, utility value is 1. What is the propensity to risk of the threeinternet companies? Explain your graph.D & R A1 10 - 9 Question 10. Minimum Variance Commodity Hedge Choc Full of Good Inc., a producer of powdered hot chocolate, has just received a large order that will require the purchase of 800 metric tons of cocoa in 3 months. The current spot price of cocoa is US $3,055 per metric ton. The standard deviation of the change in spot cocoa price is 0.2. Mr. Dulce, the CFO of Choc Full, is considering a minimum-variance hedge of this future cocoa purchase using the three-month cocoa futures contract. The contract size is 10 metric tons. The standard deviation of the change in cocoa futures price is 0.25. The covariance between the change in the spot and futures cocoa price is 0.035. The annually compounded interest rate faced by the company is 5%, the three-month storage cost is $2.5 per metric ton, and the convenience yield is $0.5 per metric ton. Calculate the gain/loss on spot position, the gain/loss on futures position, and the profits from this hedged position by hypothesizing…