After hearing a knock at your front door, you are surprised to see the Prize Patrol from a large, well-known magazine subscription company. It has arrived with the good news that you are the big winner, having won $35 million. You have three options: Receive $1.75 million per year for the next 20 years. Have $11.75 million today. Have $3.5 million today and receive $1,450,000 for each of the next 20 years. Your financial adviser tells you that it is reasonable to expect to earn 12 percent on investments. Calculate the present value of each option.
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After hearing a knock at your front door, you are surprised to see the Prize Patrol from a large, well-known magazine subscription company. It has arrived with the good news that you are the big winner, having won $35 million. You have three options:
- Receive $1.75 million per year for the next 20 years.
- Have $11.75 million today.
- Have $3.5 million today and receive $1,450,000 for each of the next 20 years.
Your financial adviser tells you that it is reasonable to expect to earn 12 percent on investments.
- Calculate the present value of each option.
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- After hearing a knock at your front door, you are surprised to see the Prize Patrol from a large,well-known magazine subscription company. It has arrived with the good news that you are the bigwinner, having won “$20 million.” You discover that you have three options: (1) you can receive$1 million per year for the next 20 years, (2) you can have $8 million today, or (3) you can have $2million today and receive $700,000 for each of the next 20 years. Your financial adviser tells youthat it is reasonable to expect to earn 10 percent on investments. Which option do you prefer? Whatfactors influence your decision?TIP: All three scenarios require you to determine today’s value of the various payment options.These are present value problems.After hearing a knock at your front door, you are surprised to see the Prize Patrol from a large, well-known magazine subscription company. It has arrived with the good news that you are the big winner, having won $27 million. You have three options. (a) Receive $1.35 million per year for the next 20 years. (b) Have $9.75 million today. (c) Have $3.75 million today and receive $1,050,000 for each of the next 20 years. Your financial adviser tells you that it is reasonable to expect to earn 13 percent on investments. Required: 1. Calculate the present value of each option. (Future Value of $1, Present Value of $1, Future Value Annuity of $1, Present Value Annuity of $1.) (Use appropriate factor(s) from the tables provided. Round your final answer to the nearest whole dollar. Enter your answers in dollars, not in millions.)After completing a long and successful career as senior vice president for a large bank, you arepreparing for retirement. After visiting the human resources office, you have found that you haveseveral retirement options: (1) you can receive an immediate cash payment of $1 million, (2) youcan receive $60,000 per year for life (your remaining life expectancy is 20 years), or (3) you canreceive $50,000 per year for 10 years and then $70,000 per year for life (this option is intended togive you some protection against inflation). You have determined that you can earn 8 percent onyour investments. Which option do you prefer and why?
- One year ago, the Jenkins Family Fun Center deposited $4,400 into an investment account for the purpose of buying new equipment four years from today. Today, they are adding another $6,200 to this account. They plan on making a final deposit of $8,400 to the account next year. How much will be available when they are ready to buy the equipment, assuming they earn a rate of return of 9 percent?A real estate investor has come to you with a deal for a property which would cost $400,000 & produce $25000 of income (cash flow) the first year. This income would grow by 5% per year, & at the end of the 10th year the investor projects that the building can be sold for $750,000. What is the annual rate of return you would earn by being apart of this investment?You have successfully started and operated a company for the past 10 years. You have decided that it is time to sell your company and spend time on the beaches of Hawaii. A potential buyer is interested in your company, but he does not have the necessary capital to pay you a lump sum. Instead, he has offered $500,000 today and annuity payments for the balance. The first payment will be for $220,000 in three months. The payments will increase at 1.9 percent per quarter and a total of 20 quarterly payments will be made. If you require an EAR of 8 percent, how much are you being offered for your company? (Do not round intermediate calculations and round your answer two decimal places.
- You have successfully started and operated a company for the past 10 years. You have decided that it is time to sell your company and spend time on the beaches of Hawaii. A potential buyer is interested in your company, but he does not have the necessary capital to pay you a lump sum. Instead, he has offered $500,000 today and annuity payments for the balance. The first payment will be for $220,000 in three months. The payments will increase at 1.9 percent per quarter and a total of 20 quarterly payments will be made. If you require an EAR of 8 percent, how much are you being offered for your company? (Do not round intermediate calculations and round your answer two decimal places. Only type answer and give answer fastJack is a very successful manager. He has a management contract which grants him a lump sum payment of $20 million be paid upon the completion of his first five years of service. The company wants to set aside an equal amount of funds at the end of each year to cover this anticipated cash outflow for Jack’s compensation. The company can earn 8 percent per year on these funds. How much must the company set aside each year for this purpose? (Keep at least 3 decimal places in intermediate steps. Choose an answer that is closest to yours.)You are a young urban professional in your late 20’s and want to save up for your wedding and other life milestones. You decide to invest one million USD at the start of the year in a financial instrument that gives 10,000 every June 30 and an undisclosed amount every December 31. The amount to be given is undisclosed because it will depend on the performance of the financial instrument in the market. You intend not to withdraw this investment until you die. Assuming an MARR of 9% per semi-annual, compounded semi-annually, compute for the minimum acceptable value X to be paid every December 31.
- You just won the grand prize in a national writing contest! As your prize, you will receive $510 a month for 48 months. If you can earn 5.2 percent on your money, what is this prize worth to you today?After completing a long and successful career as senior vice president for a large bank, you are preparing for retirement. After visiting the human resources office, you found that you have several retirement options to choose from: An immediate cash payment of $1.11 million. Payment of $53,000 per year for life. Payment of $43,000 per year for the first 3 years and then $63,000 per year for the remainder of your life (this option is intended to give you some protection against inflation). You believe you can earn 7 percent on your investments, and your remaining life expectancy is 6 years. Required: Calculate the present value of each option. (Future Value of $1, Present Value of $1, Future Value Annuity of $1, Present Value Annuity of $1.) Determine which option you prefer.HR wants to offer a Country Club membership for a group of employees that will cost the company $10,000 dollars a year. They will begin annually starting one year from now. 1. What amount must be invested today at 8.0% compounded annually to fund the scholarship program in perpetuity? 2. Given the current economic climate the CEO has lowered the initial investment amount you had available to $100,000, how much do you now have for the Country Club membership program?