Exam 4: The Time Value of Money

Use the information for the question(s)below. Joe just inherited the family business, and having no desire to run the family business, he has decided to sell it to an entrepreneur. In exchange for the family business, Joe has been offered an immediate payment of $100,000. Joe will also receive payments of $50,000 in one year, $50,000 in two years, and $75,000 in three years. The current market rate of interest for Joe is 6%. -In terms of present value, how much will Joe receive for selling the family business?

Use the information for the question(s)below. Suppose that a young couple has just had their first baby and they wish to ensure that enough money will be available to pay for their child's college education. Currently, college tuition, books, fees, and other costs, average $12,500 per year. On average, tuition and other costs have historically increased at a rate of 4% per year. -Assume that college costs continue to increase an average of 4% per year and that all her college savings are invested in an account paying 7% interest. Draw a timeline that details the amount of money she will need to have in the future four each of her four years of her undergraduate education.

Use the information for the question(s)below. Assume that you are 30 years old today, and that you are planning on retirement at age 65. Your current salary is $45,000 and you expect your salary to increase at a rate of 5% per year as long as you work. To save for your retirement, you plan on making annual contributions to a retirement account. Your first contribution will be made on your 31st birthday and will be 8% of this year's salary. Likewise, you expect to deposit 8% of your salary each year until you reach age 65. Assume that the rate of interest is 7%. -Francisco d'Anconia is considering an investment opportunity that costs $10,000 today and will pay $11,500 in two years. The IRR of this opportunity is closest to:

Which of the following statements regarding growing annuities is FALSE?

Use the information for the question(s)below. Suppose that a young couple has just had their first baby and they wish to ensure that enough money will be available to pay for their child's college education. Currently, college tuition, books, fees, and other costs, average $12,500 per year. On average, tuition and other costs have historically increased at a rate of 4% per year. -Consider a growing perpetuity that will pay $100 in one year. Each year after that, you will receive a payment on the anniversary of the last payment that is 6% larger than the last payment. This pattern of payments will continue forever. If the interest rate is 11%, then the value of this perpetuity is closest to:

Use the information for the question(s)below. Suppose that a young couple has just had their first baby and they wish to ensure that enough money will be available to pay for their child's college education. Currently, college tuition, books, fees, and other costs, average $12,500 per year. On average, tuition and other costs have historically increased at a rate of 4% per year. -Which of the following statements is FALSE?

Use the information for the question(s)below. Assume that you are 30 years old today, and that you are planning on retirement at age 65. Your current salary is $45,000 and you expect your salary to increase at a rate of 5% per year as long as you work. To save for your retirement, you plan on making annual contributions to a retirement account. Your first contribution will be made on your 31st birthday and will be 8% of this year's salary. Likewise, you expect to deposit 8% of your salary each year until you reach age 65. Assume that the rate of interest is 7%. -Taggart Transcontinental currently has a bank loan outstanding that requires it to make three annual payments at the end of the next three years or to skip making the next two payments in lieu of making one large payment at the end of the loan's term in three years in the amount of $3,184,000. If the interest rate on the loan is 6%, then the annual payment the bank will require to make Taggart Transcontinental indifferent between the two forms of payments is closest to:

Use the information for the question(s)below. Assume that you are 30 years old today, and that you are planning on retirement at age 65. Your current salary is $45,000 and you expect your salary to increase at a rate of 5% per year as long as you work. To save for your retirement, you plan on making annual contributions to a retirement account. Your first contribution will be made on your 31st birthday and will be 8% of this year's salary. Likewise, you expect to deposit 8% of your salary each year until you reach age 65. Assume that the rate of interest is 7%. -The present value (at age 30)of your retirement savings is closest to:

Use the information for the question(s)below. Suppose that a young couple has just had their first baby and they wish to ensure that enough money will be available to pay for their child's college education. Currently, college tuition, books, fees, and other costs, average $12,500 per year. On average, tuition and other costs have historically increased at a rate of 4% per year. -The British government has a consol bond outstanding that pays ₤100 in interest each year. Assuming that the current interest rate in Great Britain is 5% and that you will receive your first interest payment one year from now, then the value of the consol bond is closest to:

Use the table for the question(s)below. -Draw a timeline detailing the cash flows from investment "B."

Define the following terms: (a)perpetuity (b)annuity (c)growing perpetuity (d)growing annuity

Consider the following timeline detailing a stream of cash flows: If the current market rate of interest is 8%, then the present value of this stream of cash flows is closest to:

Consider the following timeline: If the current market rate of interest is 8%, then the value as of year 1 is closest to:

Use the information for the question(s)below. Suppose that a young couple has just had their first baby and they wish to ensure that enough money will be available to pay for their child's college education. Currently, college tuition, books, fees, and other costs, average $12,500 per year. On average, tuition and other costs have historically increased at a rate of 4% per year. -Suppose that a young couple has just had their first baby and they wish to insure that enough money will be available to pay for their child's college education. They decide to make deposits into an educational savings account on each of their daughter's birthdays, starting with her first birthday. Assume that the educational savings account will return a constant 7%. The parents deposit $2000 on their daughter's first birthday and plan to increase the size of their deposits by 5% each year. Assuming that the parents have already made the deposit for their daughter's 18th birthday, then the amount available for the daughter's college expenses on her 18th birthday is closest to:

Use the information for the question(s)below. Joe just inherited the family business, and having no desire to run the family business, he has decided to sell it to an entrepreneur. In exchange for the family business, Joe has been offered an immediate payment of $100,000. Joe will also receive payments of $50,000 in one year, $50,000 in two years, and $75,000 in three years. The current market rate of interest for Joe is 6%. -Draw a timeline detailing Joe's cash flows from the sale of the family business.

Use the figure for the question(s)below. -Which of the following statements regarding the timeline is FALSE?

Use the information for the question(s)below. Assume that you are 30 years old today, and that you are planning on retirement at age 65. Your current salary is $45,000 and you expect your salary to increase at a rate of 5% per year as long as you work. To save for your retirement, you plan on making annual contributions to a retirement account. Your first contribution will be made on your 31st birthday and will be 8% of this year's salary. Likewise, you expect to deposit 8% of your salary each year until you reach age 65. Assume that the rate of interest is 7%. -You work for a pharmaceutical company that has developed a new drug. The patent on the drug will last for 17 years. You expect that the drug will produce cash flows of $10 million in its first year and that this amount will grow at a rate of 4% per year for the next 17 years. Once the patent expires, other pharmaceutical companies will be able to produce generic equivalents of your drug and competition will drive any future profits to zero. If the interest rate is 12% per year, then the present value of producing this drug is closest to: A)$71 million B)$90 million C)$170 million D)$105 million

Which of the following formulas is INCORRECT?

Consider the following time line: If the current market rate of interest is 8%, then the present value of this timeline is closest to:

Which of the following statements is FALSE?