You have 1000 euros to invest. At the beginning of each year, you can invest your available money in three different plans, Plan 1, Plan 2 and Plan 3 (available money means not blocked in a plan). Money put in Plan 1 is blocked for one year. After one year, you total interest rate is 5% (if you invested 100 euros, you will have 105 euros after one year). Money put in Plan 2 is blocked for two years. After two years, you total interest rate is 12% (if you invested 100 euros, you will have 112 euros after two years). Money put in Plan 3 is blocked for three years.Afte
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You have 1000 euros to invest. At the beginning of each year, you can invest your available money in three different plans, Plan 1, Plan 2 and Plan 3 (available money means not blocked in a plan).
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Money put in Plan 1 is blocked for one year. After one year, you total interest rate is 5% (if you invested 100 euros, you will have 105 euros after one year).
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Money put in Plan 2 is blocked for two years. After two years, you total interest rate is 12% (if you invested 100 euros, you will have 112 euros after two years).
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Money put in Plan 3 is blocked for three years.After three years,you total interestrate is 19%.
Your planning horizon is 7 years. You want to maximize your available money at the end of the 7th year (again, available money means not blocked in a plan).
What would be the linear programme solving the problem.
Step by step
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Hi It seems a bit empty. E.g compount intresst are not calculated in there and we should be able to invest partial amounts as well.
- It is January 1 of year 0, and Merck is trying to determine whether to continue development of a new drug. The following information is relevant. You can assume that all cash flows occur at the ends of the respective years. Clinical trials (the trials where the drug is tested on humans) are equally likely to be completed in year 1 or 2. There is an 80% chance that clinical trials will succeed. If these trials fail, the FDA will not allow the drug to be marketed. The cost of clinical trials is assumed to follow a triangular distribution with best case 100 million, most likely case 150 million, and worst case 250 million. Clinical trial costs are incurred at the end of the year clinical trials are completed. If clinical trials succeed, the drug will be sold for five years, earning a profit of 6 per unit sold. If clinical trials succeed, a plant will be built during the same year trials are completed. The cost of the plant is assumed to follow a triangular distribution with best case 1 billion, most likely case 1.5 billion, and worst case 2.5 billion. The plant cost will be depreciated on a straight-line basis during the five years of sales. Sales begin the year after successful clinical trials. Of course, if the clinical trials fail, there are no sales. During the first year of sales, Merck believe sales will be between 100 million and 200 million units. Sales of 140 million units are assumed to be three times as likely as sales of 120 million units, and sales of 160 million units are assumed to be twice as likely as sales of 120 million units. Merck assumes that for years 2 to 5 that the drug is on the market, the growth rate will be the same each year. The annual growth in sales will be between 5% and 15%. There is a 25% chance that the annual growth will be 7% or less, a 50% chance that it will be 9% or less, and a 75% chance that it will be 12% or less. Cash flows are discounted 15% per year, and the tax rate is 40%. Use simulation to model Mercks situation. Based on the simulation output, would you recommend that Merck continue developing? Explain your reasoning. What are the three key drivers of the projects NPV? (Hint: The way the uncertainty about the first year sales is stated suggests using the General distribution, implemented with the RISKGENERAL function. Similarly, the way the uncertainty about the annual growth rate is stated suggests using the Cumul distribution, implemented with the RISKCUMUL function. Look these functions up in @RISKs online help.)A project does not necessarily have a unique IRR. (Refer to the previous problem for more information on IRR.) Show that a project with the following cash flows has two IRRs: year 1, 20; year 2, 82; year 3, 60; year 4, 2. (Note: It can be shown that if the cash flow of a project changes sign only once, the project is guaranteed to have a unique IRR.)Mr. X is a factory worker. He works in a factory from 8 am to 5 pm. He gets interval from 1 pm to 2 pm for rest and meal. He has been working in this factory for more than two decades. Now he wants to take voluntary retirement from his service. After termination of service, he will get gratuity, allowances and any other compensation. Now, write the answer of following questions. What is gratuity? How will gratuity be counted to pay Mr. X during his retirement? Write with example. ii.
- You are the owner of four Taco Bell restaurant locations. You have a business loan with Citizens Bank taken out 60 days ago that is due in 90 days. The amount of the loan is $70,000, and the rate is 9.5% using ordinary interest. You currently have some excess cash: $25,000. Due to situations beyond your control, you, as the owner, must make an immediate business decision now to pursue only one of these two choices:1) sending all of the $25,000 to Citizens Bank as a partial payment on your loan, or2) using the $25,000 to purchase serving supplies such as food containers, cups, and plastic dinnerware for your inventory. This is the last day to take advantage of the opportunity to save some money due to a special discount price that is "10% off" the normal cost of $25,000 for these items. Consider these calculations: (a) How much interest (in $) will you save on this loan if you make the partial payment and don't purchase the additional serving supplies? (Round your answer to two…Which of the following are important to investors evaluating direct participation programs? I. The economic soundness of the program II. The expertise of the general partner III. The basic objectives of the program IV. The start-up costs A I, II, and IV B I, II, and III C I, II, III, and IV D II, III, and IVYour 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…
- Your father loans you Php12,000 to make it through your senior year. His repayment schedule requires payments of Php1401.95 at the end of year for the next 15 years. What interest rate? A. 7.0% B. 7.5% C. 8.0% D. 8.5%A young computer engineer has $12,000 to invest and three different investment options (funds) to choose from. Type 1 guaranteed investment funds offer an expected rate of return of 7%, Type 2 mixed funds (part is guaranteed capital) have an expected rate of return of 8%, while an investment on the Stock Exchange involves an expected rate of return of 12%, but without guaranteed investment capital. Computer engineer has decided not to invest more than $2,000 on the Stock Exchange in order to minimize the risk. Moreover for tax reasons, she needs to invest at least three times more in guaranteed investment funds than in mixed funds. Assume that at the end of the year the returns are those expected; she is trying to determine the optimum investment amounts. (a) Express this problem as a linear programming model with two decision variables.(b) Solve the problem with the graphical solution procedure and define the optimum solution.Problem 1: You are a manager of CircuitTown, which sells Xbox2010. The demand for Xbox2010 in the holiday season is 200 units with probability 0.8 and 400 units with probability 0.2. You have to take an order from MSFT in advance. You can either purchase 200 units or 400 units. The purchase price is $150 per unit and the retail price is $300 per unit. After the holiday, you dump unsold units to leftover.com with price $50 per unit. Build a decision tree and decide how many units you want to order. Problem 2: You have taken over as inventory manager at Dino’s Florists. You would like to use EOQ to compute the best quantity of orchids to order. The previous manager at Dino’s ordered orchids once a month in quantities of 1,000 to simply match the monthly demand. Orchids are expensive to order with an ordering cost of $300 per order. Holding cost is estimated at 15% of product cost annually, with a product cost of $60 per unit. a. What is economic order quantity decision for Dino’s…
- It is the beginning of September and you have been offered the following deal to go heli-skiing. If you pick the first week in January and pay for your vacation now, you can get a week of heli-skiing for $1500. However, if you cannot ski because the helicopters cannot fly due to bad weather, there is no snow, or you get sick, you do not get a refund. There is a 25% probability that you will not be able to ski. If you wait until the last minute and go only if you know that the conditions are perfect and you are well, the vacation will cost $4000. You estimate that the pleasure you get from heli-skiing is worth $6300 per week to you (if you had to pay any more than that, you would choose not to go). If your cost of capital is 12% per year, should you book ahead or wait and why? (A decision tree is needed in the answer)Consider a project with the following cash flows: year 1, 2$400; year 2, $200; year 3, $600; year 4, 2$900; year 5, $1000; year 6, $250; year 7, $230. Assume a discount rate of 15% per year.a. Find the project’s NPV if cash flows occur at the ends of the respective years.b. Find the project’s NPV if cash flows occur at the beginnings of the respective years.c. Find the project’s NPV if cash flows occur at the middles of the respective years.If all the individual land parcels in a new housing development are sold for $300,000 each, the developer projects total revenue from land sales will be $120 million. If the land lender requires that their $60 million land loan be completely paid off by the time that 75% of the individual land parcels have been sold, what would be the lender’s minimum release price for each parcel? a. $150,000 b. $200,000 c. $250,000 d.$300,000