Exam 5: The Time Value of Money

Which one of the following statements is NOT true?

Future value: Wes Ottey would like to buy a condo in Florida in six years. He is looking to invest $75,000 today in a stock that is expected to earn a return of 18.3 percent annually. How much will he have at the end of six years? (Round to the nearest dollar.)

Future value: Ning Gao is planning to buy a house in five years. She is looking to invest $25,000 today in an index mutual fund that will provide her a return of 12 percent annually. How much will she have at the end of five years? (Round to the nearest dollar.)

Present value: John Hsu wants to start a business in 10 years. He hopes to have $100,000 at that time to invest in the business. To reach his goal, he plans to invest a certain amount today in a bank CD that will pay him 9.50 percent annually. How much will he have to invest today to achieve his target? (Round to the nearest dollar.)

The further in the future you receive a dollar, the more it is worth today.

The time value of money refers to the issue of

Present value: Tommie Harris is considering an investment that pays 6.5 percent annually. How much must he invest today such that he will have $25,000 in seven years? (Round to the nearest dollar.)

Suppose you win $10 million in a lottery. You have a choice of how you will receive your winnings. The first choice is to receive a certain lump sum today. The second choice is to receive a certain amount at the end of five years. How will you evaluate your choices to make your decision?

The future value technique uses compounding to find the future value of each cash flow at the end of the project's life.

The process of converting future cash flows to what its present value is

Compounding: Richard Delgado invested $10,000 in a money market account that will pay 5.75 percent compounded daily. How much will the interest-on-interest be after two years?

The lower the discount rate, the lower the present value of a future cash flow.

Growth rate: Cleargen, a detergent manufacturer, has announced this year's net income as $832,500. It expects its net earnings to grow at a rate of 15 percent per year for the next two years, before dropping to 12 percent for each of the following two years. What is the firm's net income after four years? (Round to the nearest dollar.)

Compound growth occurs when the initial value of a number increases or decreases each period by the factor (1 + growth rate).

Time to attain goal: Cheryl Merriweather wants to invest in a bank CD that will pay her 7.8 percent annually. If she is investing $11,500 today, when will she reach her goal of $15,000? (Round off to the nearest year.)

The higher the rate of interest, the more likely you will elect to invest your funds and forego current consumption.

Compounding: Dat Nguyen is depositing $17,500 in an account paying an annual interest rate of 8.25 percent compounded monthly. What is the interest-on-interest after six years?

Future value: You are interested in investing $10,000, a gift from your grandparents, for the next four years in a mutual fund that will earn an annual return of 8 percent. What will your investment be worth at the end of four years? (Round to the nearest dollar.)

Which of the following statements is true?

Interest rate: Rachael Steele wants to borrow $6,000 for a period of four years. She has two choices. Her bank is offering to lend her the amount at 7.25 percent compounded annually. She can also borrow from her firm and will have to repay a total of $8,130.93 at the end of four years. Should Rachael go with her bank or the firm, and what is the interest rate if she borrows from her firm? (Round to the nearest percent.)