FIN ch. 5

C. Barb will earn interest on interest

Andy deposited $3,000 this morning into an account that pays 5 percent interest, compounded annually. Barb also deposited $3,000 this morning into an account that pays 5 percent interest, compounded annually. Andy will withdraw his interest earnings and spend it as soon as possible. Barb will reinvest her interest earnings into her account. Given this, which one of the following statements is true? A. Barb will earn more interest the first year than Andy will. B. Andy will earn more interest in year three than Barb will. C. Barb will earn interest on interest. D. After five years, Andy and Barb will both have earned the same amount of interest. E. Andy will earn compound interest.

compound interest

Interest earned on both the initial principal and the interest reinvested from prior periods is called what?

compouding

the process of leaving your money and any accumulated interest in an investment for more than one period, thereby reinvesting the interest, is called what?

time

what is the exponent in the present value formula?

(1+r)^t

what is the future value factor?

1/(1+r)^t

what is the present value factor?

simple interest

with _____, the interest is not reinvested, so the interest is earned each period only on the original principal

C. In today's dollars, Luis' money is worth more than Soo Lee's.

Luis is going to receive $20,000 six years from now. Soo Lee is going to receive $20,000 nine years from now. Which one of the following statements is correct if both Luis and Soo Lee apply a 7 percent discount rate to these amounts? A. The present values of Luis and Soo Lee's monies are equal. B. In future dollars, Soo Lee's money is worth more than Luis' money. C. In today's dollars, Luis' money is worth more than Soo Lee's. D. Twenty years from now, the value of Luis' money will be equal to the value of Soo Lee's money. E. Soo Lee's money is worth more than Luis' money given the 7 percent discount rate.

B. Martin earned a lower interest rate than he expected.

Martin invested $1,000 six years ago and expected to have $1,500 today. He has not added or withdrawn any money from this account since his initial investment. All interest was reinvested in the account. As it turns out, Martin only has $1,420 in his account today. Which one of the following must be true? A. Martin earned simple interest rather than compound interest. B. Martin earned a lower interest rate than he expected. C. Martin did not earn any interest on interest as he expected. D. Martin ignored the Rule of 72 which caused his account to decrease in value. E. The future value interest factor turned out to be higher than Martin expected

C. Samantha could have deposited less money and still had $5,600 in five years if she could have earned 5.5 percent interest.

Samantha opened a savings account this morning. Her money will earn 5 percent interest, compounded annually. After five years, her savings account will be worth $5,600. Assume she will not make any withdrawals. Given this, which one of the following statements is true? A. Samantha deposited more than $5,600 this morning. B. The present value of Samantha's account is $5,600. C. Samantha could have deposited less money and still had $5,600 in five years if she could have earned 5.5 percent interest. D. Samantha would have had to deposit more money to have $5,600 in five years if she could have earned 6 percent interest. E. Samantha will earn an equal amount of interest every year for the next five years.

simple interest

Sara invested $500 six years ago at 5 percent interest. She spends her earnings as soon as she earns any interest so she only receives interest on her initial $500 investment. What type of interest is Sara earning?

present value

Shelley won a lottery and will receive $1,000 a year for the next ten years. The value of her winnings today discounted at her discount rate is called what?

interest on interest

Steve invested $100 two years ago at 10 percent interest. The first year, he earned $10 interest on his $100 investment. He reinvested the $10. The second year, he earned $11 interest on his $110 investment. The extra $1 he earned in interest the second year is referred to as what?

discount rate

Steve just computed the present value of a $10,000 bonus he will receive in the future. The interest rate he used in this process is referred to as what?

E. Sue will have more money than Neal as long as they retire at the same time.

Sue and Neal are twins. Sue invests $5,000 at 7 percent when she is 25 years old. Neal invests $5,000 at 7 percent when he is 30 years old. Both investments compound interest annually. Both Sue and Neal retire at age 60. Which one of the following statements is correct assuming that neither Sue nor Neal has withdrawn any money from their accounts? A. Sue will have less money when she retires than Neal. B. Neal will earn more interest on interest than Sue. C. Neal will earn more compound interest than Sue. D. If both Sue and Neal wait to age 70 to retire, then they will have equal amounts of savings. E. Sue will have more money than Neal as long as they retire at the same time

discounting

Terry is calculating the present value of a bonus he will receive next year. The process he is using is called what?

discounted cash flow valuation

The process of determining the present value of future cash flows in order to know their worth today is called what?

D. The present value of this investment is equal to $1,000.

This afternoon, you deposited $1,000 into a retirement savings account. The account will compound interest at 6 percent annually. You will not withdraw any principal or interest until you retire in forty years. Which one of the following statements is correct? A. The interest you earn six years from now will equal the interest you earn ten years from now. B. The interest amount you earn will double in value every year. C. The total amount of interest you will earn will equal $1,000 × .06 × 40. D. The present value of this investment is equal to $1,000. E. The future value of this amount is equal to $1,000 × (1 + 40).06.

compounding

Tracy invested $1,000 five years ago and earns 4 percent interest on her investment. By leaving her interest earnings in her account, she increases the amount of interest she earns each year. The way she is handling her interest income is referred to as what?

they are reciprocals of each other

What is the relationship between present value and future value interest factors?

A. 6 percent interest for five years

Which one of the following will produce the highest present value interest factor? A. 6 percent interest for five years B. 6 percent interest for eight years C. 6 percent interest for ten years D. 8 percent interest for five years E. 8 percent interest for ten years

future value

You are investing $100 today in a savings account at your local bank. What term refers to the value of this investment one year from now?

C. I and III only

You want to have $1 million in your savings account when you retire. You plan on investing a single lump sum today to fund this goal. You are planning on investing in an account which will pay 7.5 percent annual interest. Which of the following will reduce the amount that you must deposit today if you are to have your desired $1 million on the day you retire? I. Invest in a different account paying a higher rate of interest. II. Invest in a different account paying a lower rate of interest. III. Retire later. IV. Retire sooner. A. I only B. II only C. I and III only D. I and IV only E. II and III only

decreases

Your grandmother has promised to give you $5,000 when you graduate from college. She is expecting you to graduate two years from now. What happens to the present value of this gift if you delay your graduation by one year and graduate three years from now?

future value

_____ refers to the amount of money an investment will grow over some period of time at some given interest rate.