Interest and investment earning


Question 1: A financially wise individual would prefer a loan based on __________ interest and an investment earning __________ interest.

a. compound; compound
b. compound; simple
c. simple; compound
d. simple; simple
e. complex; compound

Question 2: Over time, the future value of $1,000 invested today at 6 percent, compounded annually, will increase by a(n):

a. constant annual amount given the interest on interest effect.
b. constant annual amount given that interest is compounded annually.
c. decreasing annual amount due to the compounding effect.
d. increasing annual amount given the compound interest effect.
e. increasing annual amount due to the effects of the simple interest rate.

Question 3: Sancho deposits $500 in a bank account today which pays 4 percent interest, compounded annually. The amount of interest Sancho earns in year 4 will be:

I. equal to the interest earned in year 3.
II. greater than the interest earned in year 3.
III. less than the interest earned in year 3.
IV. greater than the interest earned in year 5.
V. less than the interest earned in year 5.

a. I only
b. II and IV only
c. II and V only
d. III and IV only
e. III and V only

Question 4: Tom, Dick, and Harry are triplets. They all decide to borrow $1,000 today to go on vacation. They will repay their loans, plus all the accrued interest, in one lump sum exactly 1 year from today. Tom borrows his money at 6 percent simple interest. Dick's loan is based on 6 percent interest compounded monthly. Harry is charged 6 percent compounded annually. Given this information, which one of the following statements is correct?

a. Tom will pay the most interest.
b. Harry will pay the most interest.
c. Harry will pay more interest than Dick, but less interest than Tom.
d. Dick will pay more interest than either Harry or Tom.
e. Tom will pay more interest than Harry, but less than Dick.

Question 5: The relationship between the present value and the interest rate is best described as:

a. direct.
b. inverse.
c. unrelated.
d. uncorrelated.
e. vertical.

Question 6: The present value of $10,000 to be received in 10 years will __________ if the discount rate is increased.

a. remain constant
b. decrease
c. increase
d. either remain constant or increase
e. either remain constant or decrease

Question 7: Given a 6 percent rate of return and a time period of 5 years, the future value will _________ if the present value is increased.

a. remain constant
b. decrease
c. increase
d. either remain constant or increase
e. either remain constant or decrease

Question 8: You invest $10,000 today into a retirement account. You expect to earn 11 percent, compounded monthly, on your money for the next 25 years. After that, you want to be more conservative, so only expect to earn 7 percent, compounded semi-annually. How much money will you have in your account when you retire 40 years from now, assuming that this is the only deposit you make into the account?

Question 9: Your grandfather spent $2,000 to buy 200 shares of stock in a new company 60 years ago. The stock has appreciated 9 percent per year on average. What is the current value of these 200 shares?

Question 10: Today, you are investing $25,000 at 6 percent, compounded monthly, for 10 years. How much additional income could you earn if you could have invested this amount at 7 percent, compounded monthly?

Question 11: Eight years from now, you will be inheriting $8,400. What is this inheritance worth to you today if you can earn 6 percent interest compounded annually?

Question 12: You want to have $100,000 for your daughter's education 18 years from now. If you can earn 8 percent, compounded quarterly, on your savings, how much do you need to deposit today to reach your goal?

Question 13: How long will it take to quadruple your savings at 9 percent compounded quarterly?

Question 14: Your firm has been told that it needs $74,300 today to fund a $120,000 expense 6 years from now. What rate of interest was used in the computation?

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Finance Basics: Interest and investment earning
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