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1. The time value of money refers to the fact that a dollar received today is worth less than a dollar promised at some time in the future.

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11. In determining present value, a company moves backward in time using a process of accumulation.

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12. The unknown present value is always a larger amount than the known future value because dollars received currently are worth more than dollars to be received in the future.

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13. The rents that comprise an annuity due earn no interest during the period in which they are originally deposited.

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17. The future value of an annuity due factor is found by multiplying the future value of an ordinary annuity factor by 1 minus the interest rate.

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19. The future value of a deferred annuity is less than the future value of an annuity not deferred.

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3. Simple interest is computed on principal and on any interest earned that has not been withdrawn.

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6. The future value of an ordinary annuity table is used when payments are invested at the beginning of each period.

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7. The present value of an annuity due table is used when payments are made at the end of each period.

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10. The future value of a single sum is determined by multiplying the future value factor by its present value.

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14. If two annuities have the same number of rents with the same dollar amount, but one is an annuity due and one is an ordinary annuity, the future value of the annuity due will be greater than the future value of the ordinary annuity.

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15. If two annuities have the same number of rents with the same dollar amount, but one is an annuity due and one is an ordinary annuity, the present value of the annuity due will be greater than the present value of the ordinary annuity.

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16. The number of compounding periods will always be one less than the number of rents when computing the future value of an ordinary annuity.

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18. The present value of an ordinary annuity is the present value of a series of equal rents withdrawn at equal intervals.

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2. Interest is the excess cash received or repaid over and above the amount lent or borrowed.

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20. The expected cash flow approach uses a range of cash flows and incorporates the probabilities of those cash flows to provide a more relevant present value measurement.

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4. Compound interest, rather than simple interest, must be used to properly evaluate long- term investment proposals.

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5. Compound interest uses the accumulated balance at each year end to compute interest in the succeeding year.

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8. If the compounding period is less than one year, the annual interest rate must be converted to the compounding period interest rate by dividing the annual rate by the number of compounding periods per year.

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9. Present value is the value now of a future sum or sums discounted assuming compound interest.

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21. 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

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 how much you would need to have deposited three years ago at 10% compounded annually in order to have $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

62. Assume ABC Company deposits $70,000 with First National Bank in an account earning interest at 6% per annum, compounded semi-annually. How much will ABC have in the account after five years if interest is reinvested? a. $94,074. b. $70,000. c. $91,000. d. $93,677.

a

82. Bella requires $160,000 in four years to purchase a new home. What amount must be invested today in an investment that earns 6% interest, compounded annually? a. $126,734. b. $131,632. c. $193,783. d. $201,996.

a

84. Ethan has $160,000 to invest today at an annual interest rate of 4%. Approximately how many years will it take before the investment grows to $324,000? a. 18 years. b. 20 years. c. 16 years. d. 11 years.

a

93. Pearson Corporation makes an investment today (January 1, 2014). They will receive $9,000 every December 31st for the next six years (2014 - 2019). If Pearson wants to earn 12% on the investment, what is the most they should invest on January 1, 2014? a. $37,003. b. $41,443. c. $73,036. d. $81,801.

a

97. Hiller Corporation makes an investment today (January 1, 2014). They will receive $50,000 every December 31st for the next six years (2014 - 2019). If Hiller wants to earn 12% on the investment, what is the most they should invest on January 1, 2014? a. $205,571. b. $230,239. c. $465,760. d. $454,450.

a

P39. In the time diagram below, which concept is being depicted? 0 1 2 3 4 $1 $1 $1 $1 PV < 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, 2014, 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, 2014. 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

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. d. Future value of one.

b

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 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 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 n−1 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

74. Mordica Company will receive $300,000 in 7 years. If the appropriate interest rate is 10%, the present value of the $300,000 receipt is a. $153,000. b. $153,948. c. $453,000. d. $584,616.

b

77. Barber Company will receive $900,000 in 7 years. If the appropriate interest rate is 10%, the present value of the $900,000 receipt is a. $459,000. b. $461,844. c. $1,359,000. d. $1,753,848.

b

78. Barkley Company will receive $400,000 in a future year. If the future receipt is discounted at an interest rate of 8%, its present value is $252,068. In how many years is the $400,000 received? a. 5 years b. 6 years c. 7 years d. 8 years

b

85. Jane wants to set aside funds to take an around the world cruise in four years. Assuming that Jane has $12,000 to invest today in an account expected to earn 6% per annum, how much will she have to spend on her vacation? a. $9,504. b. $15,150. c. $52,495. d. $16,059.

b

90. Lucy and Fred want to begin saving for their baby's college education. They estimate that they will need $150,000 in eighteen years. If they are able to earn 6% per annum, how much must be deposited at the beginning of each of the next eighteen years to fund the education? a. $4,853. b. $4,579. c. $8,333. d. $4,443.

b

94. Garretson Corporation will receive $10,000 today (January 1, 2014), and also on each January 1st for the next five years (2015 - 2019). What is the present value of the six $10,000 receipts, assuming a 12% interest rate? a. $41,114. b. $46,048. c. $81,152. d. $90,890.

b

98. Sonata Corporation will receive $30,000 today (January 1, 2014), and also on each January 1st for the next five years (2015 - 2019). What is the present value of the six $30,000 receipts, assuming a 12% interest rate? a. $123,342. b. $138,143. c. $243,456. d. $272,670.

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

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. None of these answer choices are correct.

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

60. Stemway Company requires a new manufacturing facility. It found three locations; 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

75. Dunston Company will receive $300,000 in a future year. If the future receipt is discounted at an interest rate of 10%, its present value is $153,948. In how many years is the $300,000 received? a. 5 years b. 6 years c. 7 years d. 8 years

c

76. Milner Company will invest $500,000 today. The investment will earn 6% for 5 years, with no funds withdrawn. In 5 years, the amount in the investment fund is a. $500,000. b. $650,000. c. $669,115. d. $670,145.

c

79. Altman Company will invest $700,000 today. The investment will earn 6% for 5 years, with no funds withdrawn. In 5 years, the amount in the investment fund is a. $700,000. b. $910,000. c. $936,761. d. $938,203.

c

81. Angie invested $150,000 she received from her grandmother today in a fund that is expected to earn 10% per annum. To what amount should the investment grow in five years if interest is compounded semi-annually? a. $232,701. b. $241,575. c. $244,335. d. $265,734.

c

83. What interest rate (the nearest percent) must Charlie earn on a $226,000 investment today so that he will have $570,000 after 12 years? a. 6%. b. 7%. c. 8%. d. 9%.

c

86. Jane wants to set aside funds to take an around the world cruise in four years. Jane expects that she will need $12,000 for her dream vacation. If she is able to earn 8% per annum on an investment, how much will she have to set aside today so that she will have sufficient funds available? a. $2,663. b. $16,325. c. $8,820. d. $8,167.

c

87. What would you pay for an investment that pays you $2,500,000 after forty years? Assume that the relevant interest rate for this type of investment is 6%. a. $77,950. b. $779,500. c. $243,050. d. $259,175.

c

95. Spencer Corporation will invest $20,000 every December 31st for the next six years (2014 - 2019). If Spencer will earn 12% on the investment, what amount will be in the investment fund on December 31, 2019? a. $82,228. b. $92,096. c. $162,304. d. $181,780.

c

99. Renfro Corporation will invest $70,000 every December 31st for the next six years (2014 - 2019). If Renfro will earn 12% on the investment, what amount will be in the investment fund on December 31, 2019? a. $287,798 b. $322,336. c. $568,063. d. $636,230.

c

P38. 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

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, 2014, the present value of that sum decreases as the date draws closer to December 31, 2014.

c

P51 If the interest rate is 10%, the factor for the future value of 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

100. Vannoy Corporation will invest $60,000 every January 1st for the next six years (2014 - 2019). If Vannoy will earn 12% on the investment, what amount will be in the investment fund on December 31, 2019? a. $246,684. b. $276,288. c. $486,912. d. $545,341.

d

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 hence? 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. None of these answer choices are correct.

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 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. All of these answer choices are correct.

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

63. Charlie Corp. is purchasing new equipment with a cash cost of $250,000 for an assembly line. The manufacturer has offered to accept $57,400 payment at the end of each of the next six years. How much interest will Charlie Corp. pay over the term of the loan? a. $57,400. b. $250,000. c. $307,400. d. $94,400.

d

64. If a savings account pays interest at 4% compounded quarterly, then the amount of $1 left on deposit for 5 years would be found in a table using a. 5 periods at 4%. b. 5 periods at 1%. c. 20 periods at 4%. d. 20 periods at 1%.

d

73. At the end of two years, what will be the balance in a savings account paying 6% annually if $15,000 is deposited today? The future value of one at 6% for one period is 1.06. a. $15,000 b. $15,900 c. $16,800 d. $16,854

d

80. John Jones won a lottery that will pay him $3,000,000 after twenty years. Assuming an appropriate interest rate is 5% compounded annually, what is the present value of this amount? a. $3,000,000. b. $7,959,900. c. $37,386,630. d. $1,130,670.

d

88. What would you pay for an investment that pays you $30,000 at the end of each year for the next ten years and then returns a maturity value of $450,000 after ten years? Assume that the relevant interest rate for this type of investment is 8%. a. $208,437. b. $201,303. c. $217,404. d. $409,737.

d

89. Anna has $15,000 to invest. She requires $25,000 for a down payment for a house. If she is able to invest at 6%, how many years will it be before she will accumulate the desired balance? a. 6 years. b. 7 years. c. 8 years. d. 9 years.

d

91. Lucy and Fred want to begin saving for their baby's college education. They estimate that they will need $100,000 in eighteen years. If they are able to earn 5% per annum, how much must be deposited at the end of each of the next eighteen years to fund the education? a. $3,873. b. $8,555. c. $8,274. d. $3,555.

d

92. Jane wants to set aside funds to take an around the world cruise in four years. Jane expects that she will need $12,000 for her dream vacation. If she is able to earn 8% per annum on an investment, how much will she need to set aside at the beginning of each year to accumulate sufficient funds? a. $2,663. b. $16,325. c. $8,820. d. $2,466.

d

96. Tipson Corporation will invest $20,000 every January 1st for the next six years (2014 - 2019). If Tipson will earn 12% on the investment, what amount will be in the investment fund on December 31, 2019? a. $82,228 b. $92,096. c. $162,304. d. $181,780.

d

P40. On December 1, 2014, 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, 2014, the date of the sale. What present value 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