Exam 5: The Time Value of Money

The farther in the future a dollar will be received, the less it is worth today.

Which of the following equations is used to calculate the future value of an investment when interest is compounded m times a year?

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

Robert Kelly 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.)

Which of the following statements is true of time value of money?

The present value of $3,000 to be received in two years at a discount rate of 10 percent is $3,630.

Tamera Watson is saving for her daughter's college education. She wants to have $50,000 available when her daughter graduates from high school in four years. If the investment she is considering will pay 8.25 percent compounded monthly, how much will she have to invest today to reach her target? (Round to the nearest dollar.)

The future value of an investment of $5,000 to be received in three years at a discount rate of 10 percent is $6,655.

Carlos Lopes is looking to invest for the next three years. He is looking to invest $7,500 today in a bank CD that will earn interest at 5.75 percent annually. How much will he have at the end of three years? (Round to the nearest dollar.)

You need to have $15,000 in five years to payoff a home equity loan. You can invest in an account that pays 5.75 percent compounded quarterly. How much will you have to invest today to attain your target in five years? (Round to the nearest dollar.)

Due to compounding effects, the growth in the future value of an investment over time is linear.

The compound annual growth rate (CAGR) is the average annual growth rate over a specified period of time.

Dynoxo Textiles has a cash inflow of $1 million, which it needs for a long-term investment, at the end of one year. It plans to deposit the money in a bank CD that pays daily interest at 4.50 percent. What will be the value of the investment at the end of the year? (Round to the nearest dollar.)

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

Finor Traps manufactures an innovative mouse trap. Total sales for the current year is $325,000. The company expects its sales to go up to $500,000 in five years. What is the expected growth rate in sales for this firm? (Round to the nearest percent.)

The process of calculating the present value of a future cash flow is called compounding.

Amanda Sorenson is planning her retirement. She is presently investing in a 401(k) but needs an additional $500,000 to reach her retirement goal. As luck would have it, Amanda just won a brand new car that is worth $36,000 in a raffle. If Amanda were to sell the car and invest the $36,000 proceeds at a rate of 6.50%, compounded annually, how long will it be before Amanda could retire? (Round off to the nearest 1/10 of a year)

Which of the following equations is used to calculate the future value of an investment?

Anne Morgan 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 Anne go with her bank or the firm, and what is the interest rate if she borrows from her firm? (Round to the nearest percent.)

Juan Vinson is planning to buy a house in five years. He is looking to invest $25,000 today in an index mutual fund that will provide him a return of 12 percent annually. How much will he have at the end of five years? (Round to the nearest dollar.)