You have a new job as a Financial Planning assistant. Your client wants to invest money in stocks, bonds, and treasuries that have the dividend yields shown in the table below. Your job is to allocate their money across these three investments such that the total dollars of bonds plus treasuries equals the total dollars of stocks. In addition, they have identified the maximum investment in each of those three investment types (also shown below). Maximize the dividends earned. Your answer will be the total dollars to be invested in Treasuries (rounded to whole dollars). Use Scenario 1 Scenario 1 Scenario 2 Scenario 3 Scenario 4 Stocks: yield % 1.65 1.05 1.14 1.45 Bonds: yield % 3.04 2.97 3.03 1.48 Treasuries: yield % 1.95 2.46 2.08 2.99 Stocks: $ max 70,000 150,000 410,000 800,000 Bonds: $ max 60,000 180,000 300,000 750,000 Treasuries: $ max 25,000

You have a new job as a Financial Planning assistant. Your client wants to invest money in stocks, bonds, and treasuries that have the dividend yields shown in the table below. Your job is to allocate their money across these three investments such that the total dollars of bonds plus treasuries equals the total dollars of stocks. In addition, they have identified the maximum investment in each of those three investment types (also shown below). Maximize the dividends earned. Your answer will be the total dollars to be invested in Treasuries (rounded to whole dollars). Use Scenario 1 Scenario 1 Scenario 2 Scenario 3 Scenario 4 Stocks: yield % 1.65 1.05 1.14 1.45 Bonds: yield % 3.04 2.97 3.03 1.48 Treasuries: yield % 1.95 2.46 2.08 2.99 Stocks: $ max 70,000 150,000 410,000 800,000 Bonds: $ max 60,000 180,000 300,000 750,000 Treasuries: $ max 25,000

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter9: Decision Making Under Uncertainty

Section: Chapter Questions

Problem 34P

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In the financial world, there are many types of complex instruments called derivatives that derive their value from the value of an underlying asset. Consider the following simple derivative. A stocks current price is 80 per share. You purchase a derivative whose value to you becomes known a month from now. Specifically, let P be the price of the stock in a month. If P is between 75 and 85, the derivative is worth nothing to you. If P is less than 75, the derivative results in a loss of 100(75-P) dollars to you. (The factor of 100 is because many derivatives involve 100 shares.) If P is greater than 85, the derivative results in a gain of 100(P-85) dollars to you. Assume that the distribution of the change in the stock price from now to a month from now is normally distributed with mean 1 and standard deviation 8. Let EMV be the expected gain/loss from this derivative. It is a weighted average of all the possible losses and gains, weighted by their likelihoods. (Of course, any loss should be expressed as a negative number. For example, a loss of 1500 should be expressed as -1500.) Unfortunately, this is a difficult probability calculation, but EMV can be estimated by an @RISK simulation. Perform this simulation with at least 1000 iterations. What is your best estimate of EMV?
Seas Beginning sells clothing by mail order. An important question is when to strike a customer from the companys mailing list. At present, the company strikes a customer from its mailing list if a customer fails to order from six consecutive catalogs. The company wants to know whether striking a customer from its list after a customer fails to order from four consecutive catalogs results in a higher profit per customer. The following data are available: If a customer placed an order the last time she received a catalog, then there is a 20% chance she will order from the next catalog. If a customer last placed an order one catalog ago, there is a 16% chance she will order from the next catalog she receives. If a customer last placed an order two catalogs ago, there is a 12% chance she will order from the next catalog she receives. If a customer last placed an order three catalogs ago, there is an 8% chance she will order from the next catalog she receives. If a customer last placed an order four catalogs ago, there is a 4% chance she will order from the next catalog she receives. If a customer last placed an order five catalogs ago, there is a 2% chance she will order from the next catalog she receives. It costs 2 to send a catalog, and the average profit per order is 30. Assume a customer has just placed an order. To maximize expected profit per customer, would Seas Beginning make more money canceling such a customer after six nonorders or four nonorders?
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Your sister and her fiancé are planning on getting engaged (and later married) in the future. Wanting to start saving up for the wedding costs, they ask you having $60,000 saved four years from now. They also would like to withdraw $15,000 in a year to pay for the engagement rings. help them invest their money in the hopes of Besides their initial deposit, they also plan to make another deposit in three years as they are expected to receive an $8,000 settlement from a class-action lawsuit by then. There are one-year and two-year investments available for each year as well as a special three-year investment that becomes available in a year, shown in the diagram below. One-year investments return 2.5%, two-year investments return 6%, and the three-year investment return 10%. Formulate as a linear program using the variables that are listed on the diagram and solve to minimize the initial deposit your sister and her fiancé must make. Deposit (Xo) Present Хо1 Withdrawal Xo2 ($15,000) Year…
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M-REITs, or mortgage REITs, primarily invest in real estate loans and mortgage-backed securities that are often below investment grade. When a mortgage REIT decided some years ago to re-securitize a substantial portion of its CMBS "BB" and "B" securities, it received surprisingly high investment grade ratings of "A" and "BBB" from Standard & Poor's on the new securities that were created from the cash flows of the underlying portfolio of non-investment grade rated securities. But when the financial markets began to fall a few months later, that mortgage REIT quickly went bankrupt and the value of its "A" and "BBB" investment grade rated re-securities fell substantially. The intended purpose of the ratings agencies is: To produce substantial profits for the rating agencies from the fees paid to them for giving higher ratings on investments than might otherwise be appropriate To help businesses and governments raise needed capital by providing them with the ratings they need to…

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	Scenario 1	Scenario 2	Scenario 3	Scenario 4
Stocks: yield %	1.65	1.05	1.14	1.45
Bonds: yield %	3.04	2.97	3.03	1.48
Treasuries: yield %	1.95	2.46	2.08	2.99
Stocks: $ max	70,000	150,000	410,000	800,000
Bonds: $ max	60,000	180,000	300,000	750,000
Treasuries: $ max	25,000