Time Value Concepts Ch. 6

53. Which of the following statements is false? a. The factor for the future value of an annuity due is found by multiplying the ordinary annuity table value by one plus the interest rate. b. The factor for the present value of an annuity due is found by multiplying the ordinary annuity table value by one minus the interest rate. c. The factor for the future value of an annuity due is found by subtracting one from the ordinary annuity table value for one more period. d. The factor for the present value of an annuity due is found by adding one to the ordinary annuity table value for one less period.

B

55. Sue Gray wants to invest a certain sum of money at the end of each year for five years. The investment will earn 6% compounded annually. At the end of five years, she will need a total of $40,000 accumulated. How should she compute her required annual invest-ment? a. $40,000 times the future value of a 5-year, 6% ordinary annuity of 1. b. $40,000 divided by the future value of a 5-year, 6% ordinary annuity of 1. c. $40,000 times the present value of a 5-year, 6% ordinary annuity of 1. d. $40,000 divided by the present value of a 5-year, 6% ordinary annuity of 1.

B

56. An accountant wishes to find the present value of an annuity of $1 payable at the beginning of each period at 10% for eight periods. The accountant has only one present value table which shows the present value of an annuity of $1 payable at the end of each period. To compute the present value, the accountant would use the present value factor in the 10% column for a. seven periods. b. eight periods and multiply by (1 + .10). c. eight periods. d. nine periods and multiply by (1 - .10).

B

57. If an annuity due and an ordinary annuity have the same number of equal payments and the same interest rates, then a. the present value of the annuity due is less than the present value of the ordinary annuity. b. the present value of the annuity due is greater than the present value of the ordinary annuity. c. the future value of the annuity due is equal to the future value of the ordinary annuity. d. the future value of the annuity due is less than the future value of the ordinary annuity.

B

58. What is the relationship between the present value factor of an ordinary annuity and the present value factor of an annuity due for the same interest rate? a. The ordinary annuity factor is not related to the annuity due factor. b. The annuity due factor equals one plus the ordinary annuity factor for n1 periods. c. The ordinary annuity factor equals one plus the annuity due factor for n+1 periods. d. The annuity due factor equals the ordinary annuity factor for n+1 periods minus one.

B

25. What is not a variable that is considered in interest computations? a. Principal. b. Interest rate. c. Assets. d. Time.

C

31. Which table has a factor of 1.00000 for 1 period at every interest rate? a. Future value of 1 b. Present value of 1 c. Future value of an ordinary annuity of 1 d. Present value of an ordinary annuity of 1

C

32. Which table would show the largest factor for an interest rate of 8% for five periods? a. Future value of an ordinary annuity of 1 b. Present value of an ordinary annuity of 1 c. Future value of an annuity due of 1 d. Present value of an annuity due of 1

C

34. The figure .94232 is taken from the column marked 2% and the row marked three periods in a certain interest table. From what interest table is this figure taken? a. Future value of 1 b. Future value of annuity of 1 c. Present value of 1 d. Present value of annuity of 1

C

38. A series of equal receipts at equal intervals of time when each receipt is received at the beginning of each time period is called an a. ordinary annuity. b. annuity in arrears. c. annuity due. d. unearned receipt.

C

46. What is the relationship between the future value of one and the present value of one? a. The present value of one equals the future value of one plus one. b. The present value of one equals one plus future value factor for n-1 periods. c. The present value of one equals one divided by the future value of one. d. The present value of one equals one plus the future value factor for n+1 value

C

52. Which of the following is true? a. Rents occur at the beginning of each period of an ordinary annuity. b. Rents occur at the end of each period of an annuity due. c. Rents occur at the beginning of each period of an annuity due. d. Rents occur at either the beginning or the end of an annuity due.

C

54. Al Darby wants to withdraw $20,000 (including principal) from an investment fund at the end of each year for five years. How should he compute his required initial investment at the beginning of the first year if the fund earns 10% compounded annually? a. $20,000 times the future value of a 5-year, 10% ordinary annuity of 1. b. $20,000 divided by the future value of a 5-year, 10% ordinary annuity of 1. c. $20,000 times the present value of a 5-year, 10% ordinary annuity of 1. d. $20,000 divided by the present value of a 5-year, 10% ordinary annuity of 1.

C

59. Paula purchased a house for $300,000. After providing a 20% down payment, she borrowed the balance from the local savings and loan under a 30-year 6% mortgage loan requiring equal monthly installments at the end of each month. Which time value concept would be used to determine the monthly payment? a. Present value of one. b. Future value of one. c. Present value of an ordinary annuity. d. Future value of an ordinary annuity.

C

P44. Which of the following statements is true? a. The higher the discount rate, the higher the present value. b. The process of accumulating interest on interest is referred to as discounting. c. If money is worth 10% compounded annually, $1,100 due one year from today is equivalent to $1,000 today. d. If a single sum is due on December 31, 2017, the present value of that sum decreases as the date draws closer to December 31, 2017.

C

P51 If the interest rate is 10%, the factor for the future value of an annuity due of 1 for n = 5, i = 10% is equal to the factor for the future value of an ordinary annuity of 1 for n = 5, i = 10% a. plus 1.10. b. minus 1.10. c. multiplied by 1.10. d. divided by 1.10.

C

S35. Which of the following tables would show the largest value for an interest rate of 10% for 8 periods? a. Future amount of 1 table. b. Present value of 1 table. c. Future amount of an ordinary annuity of 1 table. d. Present value of an ordinary annuity of 1 table.

C

all of which would provide the needed capacity, the only difference is the price. Location A may be purchased for $500,000. Location B may be acquired with a down payment of $100,000 and annual payments at the end of each of the next twenty years of $50,000. Location C requires $40,000 payments at the beginning of each of the next twenty-five years. Assuming Stemway's borrowing costs are 8% per annum, which option is the least costly to the company? a. Location A. b. Location B. c. Location C. d. Location A and Location B.

C

22. What best describes the time value of money? a. The interest rate charged on a loan. b. Accounts receivable that are determined uncollectible. c. An investment in a checking account. d. The relationship between time and money.

D

26. If you invest $50,000 to earn 8% interest, which of the following compounding approaches would return the lowest amount after one year? a. Daily. b. Monthly. c. Quarterly. d. Annually.

D

30. Which table would you use to determine how much must be deposited now in order to provide for 5 annual withdrawals at the beginning of each year, starting one year from the first deposit? a. Future value of an ordinary annuity of 1 b. Future value of an annuity due of 1 c. Present value of an annuity due of 1 d. Present value of an ordinary annuity of 1.

D

41. An amount is deposited for eight years at 8%. If compounding occurs quarterly, then the table value is found at a. 8% for eight periods. b. 2% for eight periods. c. 8% for 32 periods. d. 2% for 32 periods.

D

43. Present value is not a. The value now of a future amount. b. The amount that must be invested now to produce a known future value. c. Always smaller than the future value. d. The sum of a series of payments.

D

48. Jerry recently was offered a position with a major accounting firm. The firm offered Jerry either a signing bonus of $23,000 payable on the first day of work or a signing bonus of $26,000 payable after one year of employment. Assuming that the relevant interest rate is 10%, which option should Jerry choose? a. The options are equivalent. b. Insufficient information to determine. c. The signing bonus of $23,000 payable on the first day of work. d. The signing bonus of $26,000 payable after one year of employment.

D

49. If Jethro wanted to save a set amount each month in order to buy a new pick-up truck when the new models are next available, which time value concept would be used to determine the monthly payment? a. Present value of one. b. Future value of one. c. Present value of an annuity due. d. Future value of an ordinary annuity.

D

61. Which of the following is false? a. The future value of a deferred annuity is the same as the future value of an annuity not deferred. b. A deferred annuity is an annuity in which the rents begin after a specified number of periods. c. To compute the present value of a deferred annuity, we compute the present value of an ordinary annuity of 1 for the entire period and subtract the present value of the rents which were not received during the deferral period. d. If the first rent is received at the end of the sixth period, it means the ordinary annuity is deferred for six periods.

D

P40. On December 1, 2017, Richards Company sold some machinery to Fleming Company. The two companies entered into an installment sales contract at a predetermined interest rate. The contract required four equal annual payments with the first payment due on December 1, 2017, the date of the sale. What time value of money concept is appropriate for this situation? a. Future amount of an annuity of 1 for four periods b. Future amount of 1 for four periods c. Present value of an ordinary annuity of 1 for four periods d. Present value of an annuity due of 1 for four periods.

D

24. What is interest? a. Payment for the use of money. b. An equity investment. c. Return on capital. d. Loan.

A

29. Which table would you use to determine what amount was deposited three years ago to provide $1,000 today? a. Future value of 1 or present value of 1 b. Future value of an annuity due of 1 c. Future value of an ordinary annuity of 1 d. Present value of an ordinary annuity of 1

A

42. If the number of periods is known, the interest rate is determined by a. dividing the future value by the present value and looking for the quotient in the future value of 1 table. b. dividing the future value by the present value and looking for the quotient in the present value of 1 table. c. dividing the present value by the future value and looking for the quotient in the future value of 1 table. d. multiplying the present value by the future value and looking for the product in the present value of 1 table.

A

45. What is the primary difference between an ordinary annuity and an annuity due? a. The timing of the periodic payment. b. The interest rate. c. Annuity due only relates to present values. d. Ordinary annuity only relates to present values.

A

P39. In the time diagram below, which concept is being depicted? 0 1 $1 2 $1 3 $1 4 $1 a. Present value of an ordinary annuity b. Present value of an annuity due c. Future value of an ordinary annuity d. Future value of an annuity due

A

S36. On June 1, 2017, Pitts Company sold some equipment to Gannon Company. The two companies entered into an installment sales contract at a rate of 8%. The contract required 8 equal annual payments with the first payment due on June 1, 2017. What type of compound interest table is appropriate for this situation? a. Present value of an annuity due of 1 table. b. Present value of an ordinary annuity of 1 table. c. Future amount of an ordinary annuity of 1 table. d. Future amount of 1 table.

A

S37. Which of the following transactions would best use the present value of an annuity due of 1 table? a. Fernetti, Inc. rents a truck for 5 years with annual rental payments of $20,000 to be made at the beginning of each year. b. Edmiston Co. rents a warehouse for 7 years with annual rental payments of $120,000 to be made at the end of each year. c. Durant, Inc. borrows $20,000 and has agreed to pay back the principal plus interest in three years. d. Babbitt, Inc. wants to deposit a lump sum to accumulate $50,000 for the construction of a new parking lot in 4 years.

A

Which of the following transactions would require the use of the present value of an annuity due concept in order to calculate the present value of the asset obtained or liability owed at the date of incurrence? a. A capital lease is entered into with the initial lease payment due upon the signing of the lease agreement. b. A capital lease is entered into with the initial lease payment due one month subse-quent to the signing of the lease agreement. c. A ten-year 8% bond is issued on January 2 with interest payable semiannually on July 1 and January 1 yielding 7%. d. A ten-year 8% bond is issued on January 2 with interest payable semiannually on July 1 and January 1 yielding 9%.

A

23. Which of the following situations does not base an accounting measure on present values? a. Pensions. b. Prepaid insurance. c. Leases. d. Sinking funds.

B

27. Which factor would be greater — the present value of $1 for 10 periods at 8% per period or the future value of $1 for 10 periods at 8% per period? a. Present value of $1 for 10 periods at 8% per period. b. Future value of $1 for 10 periods at 8% per period. c. The factors are the same. d. Need more information.

B

28. Which of the following tables would show the smallest value for an interest rate of 5% for six periods? a. Future value of 1 b. Present value of 1 c. Future value of an ordinary annuity of 1 d. Present value of an ordinary annuity of 1

B

33. Which of the following tables would show the smallest factor for an interest rate of 10% for six periods? a. Future value of an ordinary annuity of 1 b. Present value of an ordinary annuity of 1 c. Future value of an annuity due of 1 d. Present value of an annuity due of 1

B

47. Peter invests $100,000 in a 3-year certificate of deposit earning 3.5% at his local bank. Which time value concept would be used to determine the maturity value of the certificate? a. Present value of one. b. Future value of one. c. Present value of an annuity due. d. Future value of an ordinary annuity.

B

50. Betty wants to know how much she should begin saving each month to fund her retirement. What kind of problem is this? a. Present value of one. b. Future value of an ordinary annuity. c. Present value of an ordinary annuity. d. Future value of one.

B