Boris Milkem’s financial firm owns six assets. Theexpected sales price (in millions of dollars) for each asset isgiven in Table 32. If asset 1 is sold in year 2, the firmreceives $20 million. To maintain a regular cash flow,Milkem must sell at least $20 million of assets during year1, at least $30 million worth during year 2, and at least $35million worth during year 3. Set up an IP that Milkem canuse to determine how to maximize total revenue from assetssold during the next three years. In implementing this model,how could the idea of a rolling planning horizon be used?
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Boris Milkem’s financial firm owns six assets. The
expected sales price (in millions of dollars) for each asset is
given in Table 32. If asset 1 is sold in year 2, the firm
receives $20 million. To maintain a regular cash flow,
Milkem must sell at least $20 million of assets during year
1, at least $30 million worth during year 2, and at least $35
million worth during year 3. Set up an IP that Milkem canuse to determine how to maximize total revenue from assets
sold during the next three years. In implementing this model,
how could the idea of a rolling planning horizon be used?
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- Suppose you currently have a portfolio of three stocks, A, B, and C. You own 500 shares of A, 300 of B, and 1000 of C. The current share prices are 42.76, 81.33, and, 58.22, respectively. You plan to hold this portfolio for at least a year. During the coming year, economists have predicted that the national economy will be awful, stable, or great with probabilities 0.2, 0.5, and 0.3. Given the state of the economy, the returns (one-year percentage changes) of the three stocks are independent and normally distributed. However, the means and standard deviations of these returns depend on the state of the economy, as indicated in the file P11_23.xlsx. a. Use @RISK to simulate the value of the portfolio and the portfolio return in the next year. How likely is it that you will have a negative return? How likely is it that you will have a return of at least 25%? b. Suppose you had a crystal ball where you could predict the state of the economy with certainty. The stock returns would still be uncertain, but you would know whether your means and standard deviations come from row 6, 7, or 8 of the P11_23.xlsx file. If you learn, with certainty, that the economy is going to be great in the next year, run the appropriate simulation to answer the same questions as in part a. Repeat this if you learn that the economy is going to be awful. How do these results compare with those in part a?This problem is based on Motorolas online method for choosing suppliers. Suppose Motorola solicits bids from five suppliers for eight products. The list price for each product and the quantity of each product that Motorola needs to purchase during the next year are listed in the file P06_93.xlsx. Each supplier has submitted the percentage discount it will offer on each product. These percentages are also listed in the file. For example, supplier 1 offers a 7% discount on product 1 and a 30% discount on product 2. The following considerations also apply: There is an administrative cost of 5000 associated with setting up a suppliers account. For example, if Motorola uses three suppliers, it incurs an administrative cost of 15,000. To ensure reliability, no supplier can supply more than 80% of Motorolas demand for any product. A supplier must supply an integer amount of each product it supplies. Develop a linear integer model to help Motorola minimize the sum of its purchase and administrative costs.Ariel holds a $10,000 portfolio that consists of four stocks. Her investment in each stock, as well as each stock’s beta, is listed in the following table: Stock Investment Beta Standard Deviation Andalusian Limited (AL) $3,500 0.80 15.00% Kulatsu Motors Co. (KMC) $2,000 1.50 12.00% Western Gas & Electric Co. (WGC) $1,500 1.20 16.00% Makissi Corp. (MC) $3,000 0.50 22.50% Suppose all stocks in Ariel’s portfolio were equally weighted. Which of these stocks would contribute the least market risk to the portfolio? Makissi Corp. Andalusian Limited Western Gas & Electric Co. Kulatsu Motors Co. Suppose all stocks in the portfolio were equally weighted. Which of these stocks would have the least amount of standalone risk? Western Gas & Electric Co. Makissi Corp. Andalusian Limited Kulatsu Motors Co. If the risk-free rate is 4% and the market risk premium is 6%, what is Ariel’s…
- Ryder plans to meet with his attorney to begin the preparation of a will. He wants to make sure that his children aren’t faced with a lot of decisions once he’s gone, so he plans to set out in detail what his wishes are. Ryder wants his automobile to go to his daughter Karen, his home to go to his son Caleb, the rest of his property to be split equally between Karen and Caleb, and he wants to make sure he is not kept on life support if he develops a terminal medical condition where his quality of life is severely impaired. All of these concerns are valid items to include in a will except the decision to: a)split the rest of the property equally between Karen and Caleb. b)not be kept on life support. c)leave his home to Caleb, since real property must be distributed according to the laws of intestate succession. d)leave his automobile to Karen, since personal property such as automobiles cannot be disposed of in a will.hapter 7. Crypt-Me-Not Investments, Inc. is a new investment firm that deals exclusively with cryptocurrency investments. An investor wants to invest $75,000 in cryptocurrency next year and approaches them about investing in Solana (SOL), Dogecoin (DOGE), and Bitcoin (BTC) which are currently selling at $175, $1.00, and $26,000 per unit respectively. The expected annual return on each unit of SOL is $250, on each unit of DOGE is $100, and on each unit of BTC if $22,000. Like everyone else, the investor wants to maximize the returns on the investment. The risk index associated with each unit of SOL is 1.6, with each unit of DOGE is 1.8, and with each unit of BTC is 1.1. Crypt-Me-Not recommends not crossing a total risk value of 2500 with their clients investments. Moreover, BTC is the dominant crypto currency, so the investor insists that a minimum of 1 unit of BTC is necessary for the portfolio. Based on these constraints, formulate a Linear Program, and answer the following questions…JJ is the financial manager in charge of the company pension fund at Arm Inc. JJ knows that the fund must be sufficient to make the payments listed in Table. Each payment must be made on the first day of each year. JJ is going to finance these payments by purchasing bonds. It is currently January 1 of year 1, and three bonds are available for immediate purchase. The prices and coupons for the bonds are as follows. (We assume that all coupon payments are received on January 1 and arrive in time to meet cash demands for the year on which they arrive.) ■ Bond 1 costs $980 and yields a $60 coupon in the years 2 through 5 and a $1060 payment on maturity in the year 6.■ Bond 2 costs $970 and yields a $65 coupon in the years 2 through 11 and a $1065 payment on maturity in the year 12.■ Bond 3 costs $1050 and yields a $75 coupon in the years 2 through 14 and a $1075payment on maturity in the year 15.JJ must decide how much cash to allocate (from company coffers) to meet the initial $11,000…
- Consider a capital budgeting problem with seven projects represented by binary (0 or 1) variables X1, X2, X3, X4, X5, X6, X7. Write a constraint modeling the situation in which only 2 of the projects from 1, 2, 3, and 4 must be selected. Write a constraint modeling the situation in which at least 2 of the project from 1, 3, 4, and 7 must be selected. Write a constraint modeling the situation project 3 or 6 must be selected, but not both. Write a constraint modeling the situation in which at most 4 projects from the 7 can be selected.Mete makes his living buying and selling corn. On January 1, he has 50 tons of corn and 1000 TL. On the first day of each month Mete can buy corn at the following prices per ton. January: 300 TL, February: 350 TL, March: 400 TL, April: 500 TL. On the last day of each month Mete can sell corn at the following prices per ton: January: 250 TL, February: 400 TL, March: 350 TL, April: 550 TL. Mete stores his corn in a warehouse that can hold at most 1100 tons of corn. He must be able to pay cash for all corn at the time of purchase. How Mete can maximize his cash on hand at the end of April. Which of the following is the correct objective function for the given statement? Please use (Xi = Tons of corn purchased at the beginning of month i.; Yi = Tons of corn sold at the end of month i.)Michael has decided to invest $40,000 in three types of funds. Fund A has projected an annual return of 8 percent, Fund B has projected an annual return of 10 percent, and Fund C has projected an annual return of 9 percent. He has decided to invest no more than 30 percent of the total amount in Fund B and no more than 40 percent of the total amount in Fund C. a. Formulate a linear programming model that can be used to determine the amount of investments Michael should allocate to each type of fund to maximize the total annual return.b. How much should be allocated to each type of fund? What is the total annual return?
- Michael, Inc. is an investment advisory firm that uses an asset allocation model that recommends the portion of each client's portfolio to be invested in a growth fund (G), an income fund (I), and a money market fund (M). To maintain diversity in each client's portfolio, the firm places limits on the percentage of each portfolio that may be invested in each of the three funds. General guidelines indicate that the amount invested in the growth fund must be between 20% and 40% of the total portfolio value. Similar percentages for the other two funds stipulate that between 20% and 50% of the total portfolio value must be in the income fund and at least 30% of the total portfolio value must be in the money market fund. In addition, the company attempts to assess the risk tolerance of each client and adjust the portfolio to meet the needs of the individual…Alexis Harrington received an inheritance of $95,000, and she is considering two speculative investmentsthe purchase of land and the purchase ofcattle. Each investment would be for 1 year. Under the present (normal) economic conditions, each dollar invested in land will return the principalplus 20% of the principal; each dollar invested in cattle will return the principal plus 30%. However, both investments are relatively risky. If economic conditions were to deteriorate, there is an 18% chance she would lose everything she invested in land and a 30% chance she would loseeverything she invested in cattle. Alexis does not want to lose more than $20,000 (on average). She wants to know how much to invest in eachalternative to maximize the cash value of the investments at the end of 1 year How much "profit" would the optimal solution earn Alexis over and above her investment?Alexis Harrington received an inheritance of $95,000, and she is considering two speculative investmentsthe purchase of land and the purchase ofcattle. Each investment would be for 1 year. Under the present (normal) economic conditions, each dollar invested in land will return the principalplus 20% of the principal; each dollar invested in cattle will return the principal plus 30%. However, both investments are relatively risky. If economic conditions were to deteriorate, there is an 18% chance she would lose everything she invested in land and a 30% chance she would loseeverything she invested in cattle. Alexis does not want to lose more than $20,000 (on average). She wants to know how much to invest in eachalternative to maximize the cash value of the investments at the end of 1 year Should all of Alexis's inheritance be invested according to the optimal solution?