4. An investor is considering three types of investments: a high-risk venture into oil leases with apotential return of 15%, a medium-risk investment in bonds with a 9% return, and a relatively safestock investment with a 5% return. He has $50,000 to invest. Because of the risk, he will limit hisinvestment in oil leases and bonds to 30% (of the $50,000) and his investment in oil leases and stockto 50%. How much should he invest in each to maximize his return, assuming investment returns areas expected?(a) Define the variables. Be specific with descriptive words.x₁ =x₂ =x3 =(b) Clearly state the constraints (all inequalities) related to the feasible region.(c) State the objective function.7

We have given 3 types of investments: high risk, medium risk, and relatively safe stock.

Answered: 4. An investor is considering three…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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More than 50,000 state and local governments and their agencies borrow money by issuing municipal bonds to build, repair, or improve schools, streets, highways, hospitals, sewer systems, and so on. When the federal income tax law was adopted in 1913, interest on municipal bonds was excluded from federal taxation. As a result, municipal bond investors are willing to accept lower yields than those they can obtain from taxable bonds. As part of your portfolio, you are considering investing $80,000 in bonds. You have the choice of investing in tax-exempt municipal bonds yielding 3.75% or corporate bonds yielding 5% in taxable interest income. (a) What is the annual interest income (in $) and tax status of the municipal bond investment? 2$ ---Select--- (b) What is the annual interest income (in $) and tax status of the corporate bond investment? 2$ ---Select---▼ (c) If you are in the 28% marginal tax bracket for federal income taxes and your state and local taxes on that income amount to an…
Provide intuition for the asset pricing equation: P Et (M+1 Xt+1) where M is the stochastic discount factor and X is tomorrow's return on the asset. Calculus is not required but you should provide graphical intuition.
For the past two years, Monroe Corporation’s statement of cash flows has shown net cash provided by investing activities. Which of the following choices could explain this result? (a) Collection of accounts receivable balances (b) Sales of factory equipment (c) Receipt of cash dividends from investments in other company’s stock (d) Issuance of long-term debt
Vernon Dellvery Is a small company that transports business packages between New York and Chicago. It operates a fleet of small vans that moves packages to and from a central depot within each city and uses a common carrler to deliver the packages between the depots In the two citles. Vernon Delivery recently acquired approxImately $5.2 million of cash capital from Its owners, and Its president, George Hay, Is trying to Identfy the most profitable way to Invest these funds. Todd Payne, the company's operations manager, belleves that the money should be used to expand the fleet of city vans at a cost of $800,000. He argues that more vans would enable the company to expand Its services Into new markets, thereby Increasing the revenue base. More specifically, he expects cash Inflows to Increase by $310,000 per year. The additional vans are expected to have an average useful life of four years and a combined salvage value of $107,000. Operating the vans will require additional working…
Part 1: Starting your own business often means that you will be taking out loans, and in that case you are the one providing the return for the bank on their investment in you. On the other hand, when you save money and invest towards your retirement or home or equipment etc., you are the one benefiting from someone else taking out a loan, or paying dividends, or improving their product and so raising stock value in their business. You will doubtless be a borrower and an investor at some time in your life, paying interest and earning interest. How do you feel about that? Is compound interest ethical in your opinion?
Part of the agreement between your spouse and yourself for purchasing a larger house than you could currently afford was that you would build a garden and sell produce to make some extra money. Your plan is that the garden proceeds will cover 20% of your $1,500 mortgage payment for four months during the year. The Homeowner association has recently reinforced that ‘food-production’ space must be in the backyard and may not consume more that 20% of the backyard. If your backyard is 60’ x 130’, how many dollars per garden square foot will you need to average per production month in order to meet your planned mortgage reduction?
4. Gursoy Furnitures sells office chairs ordered from its flagship store. It costs $100 to place an order, and the lead time is two weeks. Demand during lead time is N(40, 1.96). Gursoy Furnitures estimates that each stockout causes a loss of $50 in future goodwill. It pays $60 for each chair and sells it for $100. The annual holding a chair inventory is 30% of its purchase cost. a) Assuming that all demand is backlogged, what are the reorder point and the safety stock level? b) To meet 99% service objective, what should be the safety stock level for Type 1 Service? For Type 2 Service?
Elaine Benes is considering three possible ways to invest the $200,000 she has just inherited. Some of Elaine’s friends are considering financing a combined laundromat, video-game arcade, and pizzeria, where the young singles in the area can meet and play while doing their laundry. This venture is highly risky and could result in either a major loss or a substantial gain within a year. Elaine estimates that the chances of losing all the money (i.e. loss of $200,000) are 47%, while the chances of making a $200,000 profit are 53%. Elaine can invest in some new apartments that are being built in town. Within 1 year, this fairly conservative project will produce a profit of at least $10,000, but it might yield $20,000 or even $30,000. Elaine estimates the probabilities of these yields at 20%, 50%, and 30% respectively. Elaine can invest in some private securities that have a current yield of 5%. Construct (draw) a decision tree for Elaine to determine which investment will maximize her…
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3. Investments Nui invests $10,000, received from her grandmother, in three ways. With one part, she buys mutual funds that offer a return of 6.5% per year. She uses the second part, which amounts to twice the first, to buy government bonds at 6% per year. She puts the rest in the bank at 5% annual interest. The first year her investments bring a return of $605. How much did she invest in each way?
Only part a & c
Giapetto is thinking of buying a new cutting tool for $20 to make toy soldiers and a new clamping tool for $15 to make toy trains. If he does not buy a new tool, he can still make a toy using the older tool he already has. However, using an old cutting tool leads to 50% of the produced soldiers and using an old clamping tool leads to 20% of the produced trains to be defective. With a new tool, there is no defective production. Giapetto cannot sell any defective product. Weekly demands (must be met exactly without left- over inventory) and productions costs are as follows: 1. Soldiers 2. Trains Demand (units/week) Production cost ($/unit) 400 300 7 17 There are other details about the problem which will be added later. Giapetto started formulating a mathematical model considering only the above description and defined the following decision variables: • xi: Production quantity for type i toy, i = 1, 2 corresponding to soldiers and trains, respectively. Considering the above problem…

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