Fundamentals of Financial Management Concise Edition 9th Edition By Brigham - Test Bank Instant Download - Complete Test Bank With Answers Sample Questions Are Posted Below Note that there is an overlap between the T/F and multiple-choice questions, as some of the T/F statements are used in multiple-choice questions. Multiple …
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Fundamentals of Financial Management Concise Edition 9th Edition By Brigham – Test Bank
Instant Download – Complete Test Bank With Answers
Sample Questions Are Posted Below
| Note that there is an overlap between the T/F and multiple-choice questions, as some of the T/F statements are used in multiple-choice questions.
Multiple Choice: True/False
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1. Starting to invest early for retirement increases the benefits of compound interest.
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2. Starting to invest early for retirement reduces the benefits of compound interest.
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3. A time line is meaningful even if all cash flows do not occur annually.
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4. A time line is not meaningful unless all cash flows occur annually.
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5. Time lines can be constructed in situations where some of the cash flows occur annually but others occur quarterly.
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6. Time lines cannot be constructed in situations where some of the cash flows occur annually but others occur quarterly.
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7. Time lines can be constructed for annuities where the payments occur at either the beginning or the end of the periods.
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8. Time lines cannot be constructed for annuities unless all the payments occur at the end of the periods.
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9. Some of the cash flows shown on a time line can be in the form of annuity payments while others can be uneven amounts.
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10. Some of the cash flows shown on a time line can be in the form of annuity payments but none can be uneven amounts.
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11. If the discount (or interest) rate is positive, the present value of an expected series of payments will always exceed the future value of the same series.
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12. If the discount (or interest) rate is positive, the future value of an expected series of payments will always exceed the present value of the same series.
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13. Disregarding risk, if money has time value, it is impossible for the present value of a given sum to exceed its future value.
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14. Disregarding risk, if money has time value, it is impossible for the future value of a given sum to exceed its present value.
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15. If a bank compounds savings accounts quarterly, the nominal rate will exceed the effective annual rate.
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16. If a bank compounds savings accounts quarterly, the effective annual rate will exceed the nominal rate.
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17. The greater the number of compounding periods within a year, then (1) the greater the future value of a lump sum investment at Time 0 and (2) the greater the present value of a given lump sum to be received at some future date.
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18. The greater the number of compounding periods within a year, then (1) the greater the future value of a lump sum investment at Time 0 and (2) the smaller the present value of a given lump sum to be received at some future date.
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19. Suppose Sally Smith plans to invest $1,000. She can earn an effective annual rate of 5% on Security A, while Security B has an effective annual rate of 12%. After 11 years, the compounded value of Security B should be more than twice the compounded value of Security A. (Ignore risk, and assume that compounding occurs annually.)
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20. Suppose Randy Jones plans to invest $1,000. He can earn an effective annual rate of 5% on Security A, while Security B has an effective annual rate of 12%. After 11 years, the compounded value of Security B should be somewhat less than twice the compounded value of Security A. (Ignore risk, and assume that compounding occurs annually.)
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21. The present value of a future sum decreases as either the discount rate or the number of periods per year increases, other things held constant.
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22. The present value of a future sum increases as either the discount rate or the number of periods per year increases, other things held constant.
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23. All other things held constant, the present value of a given annual annuity decreases as the number of periods per year increases.
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24. All other things held constant, the present value of a given annual annuity increases as the number of periods per year increases.
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25. If we are given a periodic interest rate, say a monthly rate, we can find the nominal annual rate by multiplying the periodic rate by the number of periods per year.
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26. If we are given a periodic interest rate, say a monthly rate, we can find the nominal annual rate by dividing the periodic rate by the number of periods per year.
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27. As a result of compounding, the effective annual rate on a bank deposit (or a loan) is always equal to or greater than the nominal rate on the deposit (or loan).
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28. As a result of compounding, the effective annual rate on a bank deposit (or a loan) is always equal to or less than the nominal rate on the deposit (or loan).
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29. When a loan is amortized, a relatively high percentage of the payment goes to reduce the outstanding principal in the early years, and the principal repayment’s percentage declines in the loan’s later years.
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30. When a loan is amortized, a relatively low percentage of the payment goes to reduce the outstanding principal in the early years, and the principal repayment’s percentage increases in the loan’s later years.
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31. The payment made each period on an amortized loan is constant, and it consists of some interest and some principal. The closer we are to the end of the loan’s life, the greater the percentage of the payment that will be a repayment of principal.
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32. The payment made each period on an amortized loan is constant, and it consists of some interest and some principal. The closer we are to the end of the loan’s life, the smaller the percentage of the payment that will be a repayment of principal.
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33. Midway through the life of an amortized loan, the percentage of the payment that represents interest must be equal to the percentage that represents repayment of principal. This is true regardless of the original life of the loan or the interest rate on the loan.
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34. Midway through the life of an amortized loan, the percentage of the payment that represents interest could be equal to, less than, or greater than to the percentage that represents repayment of principal. The proportions depend on the original life of the loan and the interest rate.
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| Multiple Choice: Conceptual
Please note that some of the answer choices, or answers that are very close, are used in different questions. This has caused us no difficulties, but please take this into account when you make up exams.
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35. Which of the following statements is CORRECT?
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36. Which of the following statements is CORRECT?
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37. Which of the following statements is CORRECT?
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38. Which of the following statements is CORRECT?
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39. You plan to analyze the value of a potential investment by calculating the sum of the present values of its expected cash flows. Which of the following would lower the calculated value of the investment?
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40. You plan to analyze the value of a potential investment by calculating the sum of the present values of its expected cash flows. Which of the following would increase the calculated value of the investment?
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41. Which of the following statements is CORRECT?
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42. Which of the following statements is CORRECT?
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43. Your bank account pays a 6% nominal rate of interest. The interest is compounded quarterly. Which of the following statements is CORRECT?
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44. Your bank account pays an 8% nominal rate of interest. The interest is compounded quarterly. Which of the following statements is CORRECT?
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45. A $50,000 loan is to be amortized over 7 years, with annual end-of-year payments. Which of these statements is CORRECT?
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46. A $150,000 loan is to be amortized over 7 years, with annual end-of-year payments. Which of these statements is CORRECT?
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47. Which of the following statements regarding a 15-year (180-month) $125,000, fixed-rate mortgage is CORRECT? (Ignore taxes and transactions costs.)
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48. Which of the following statements regarding a 15-year (180-month) $125,000, fixed-rate mortgage is CORRECT? (Ignore taxes and transactions costs.)
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49. Which of the following statements regarding a 30-year monthly payment amortized mortgage with a nominal interest rate of 10% is CORRECT?
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50. Which of the following statements regarding a 30-year monthly payment amortized mortgage with a nominal interest rate of 10% is CORRECT?
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51. Which of the following investments would have the highest future value at the end of 10 years? Assume that the effective annual rate for all investments is the same and is greater than zero.
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52. Which of the following investments would have the lowest present value? Assume that the effective annual rate for all investments is the same and is greater than zero.
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53. A U.S. Treasury bond will pay a lump sum of $1,000 exactly 3 years from today. The nominal interest rate is 6%, semiannual compounding. Which of the following statements is CORRECT?
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54. A U.S. Treasury bond will pay a lump sum of $1,000 exactly 3 years from today. The nominal interest rate is 6%, semiannual compounding. Which of the following statements is CORRECT?
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55. Which of the following statements is CORRECT, assuming positive interest rates and holding other things constant?
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56. Which of the following statements is CORRECT, assuming positive interest rates and holding other things constant?
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57. Which of the following statements is CORRECT?
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58. Which of the following statements is CORRECT?
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59. You are considering two equally risky annuities, each of which pays $5,000 per year for 10 years. Investment ORD is an ordinary (or deferred) annuity, while Investment DUE is an annuity due. Which of the following statements is CORRECT?
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60. You are considering two equally risky annuities, each of which pays $5,000 per year for 10 years. Investment ORD is an ordinary (or deferred) annuity, while Investment DUE is an annuity due. Which of the following statements is CORRECT?
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61. Which of the following statements is CORRECT?
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62. Which of the following statements is CORRECT?
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63. Which of the following bank accounts has the highest effective annual return?
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64. Which of the following bank accounts has the lowest effective annual return?
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65. You plan to invest some money in a bank account. Which of the following banks provides you with the highest effective rate of interest?
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| Multiple Choice: Problems
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66. Sue now has $280. How much would she have after 8 years if she leaves it invested at 8.5% with annual compounding?
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67. Jose now has $500. How much would he have after 6 years if he leaves it invested at 6.7% with annual compounding?
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68. Suppose you have $2,350 and plan to purchase a 5-year certificate of deposit (CD) that pays 3.5% interest, compounded annually. How much will you have when the CD matures?
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69. Suppose you have $2,000 and plan to purchase a 10-year certificate of deposit (CD) that pays 11.4% interest, compounded annually. How much will you have when the CD matures?
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70. Last year Rocco Corporation’s sales were $175 million. If sales grow at 6% per year, how large (in millions) will they be 5 years later?
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71. Last year Dania Corporation’s sales were $525 million. If sales grow at 9.5% per year, how large (in millions) will they be 8 years later?
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72. How much would $1, growing at 12.1% per year, be worth after 75 years?
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73. How much would $100, growing at 5% per year, be worth after 65 years?
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74. You deposit $1,125 today in a savings account that pays 6% interest, compounded annually. How much will your account be worth at the end of 25 years?
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75. You deposit $500 today in a savings account that pays 6% interest, compounded annually. How much will your account be worth at the end of 20 years?
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76. Suppose a State of New York bond will pay $1,000 ten years from now. If the going interest rate on these 10-year bonds is 4.9%, how much is the bond worth today?
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77. Suppose a State of California bond will pay $1,000 eight years from now. If the going interest rate on these 8-year bonds is 6.2%, how much is the bond worth today?
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78. How much would $30,000 due in 50 years be worth today if the discount rate were 7.5%?
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79. How much would $5,000 due in 25 years be worth today if the discount rate were 5.5%?
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80. Suppose a U.S. treasury bond will pay $1,700 five years from now. If the going interest rate on 5-year treasury bonds is 4.25%, how much is the bond worth today?
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81. Suppose an Exxon Corporation bond will pay $4,500 ten years from now. If the going interest rate on safe 10-year bonds is 5.60%, how much is the bond worth today?
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82. Suppose the U.S. Treasury offers to sell you a bond for $597.25. No payments will be made until the bond matures 5 years from now, at which time it will be redeemed for $1,000. What interest rate would you earn if you bought this bond at the offer price?
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83. Suppose the U.S. Treasury offers to sell you a bond for $3,000. No payments will be made until the bond matures 10 years from now, at which time it will be redeemed for $4,000. What interest rate would you earn if you bought this bond at the offer price?
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84. Ten years ago, Lucas Inc. earned $0.50 per share. Its earnings this year were $3.60. What was the growth rate in earnings per share (EPS) over the 10-year period?
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85. Five years ago, Weed Go Inc. earned $2.30 per share. Its earnings this year were $3.20. What was the growth rate in earnings per share (EPS) over the 5-year period?
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86. Janice has $5,000 invested in a bank that pays 8.4% annually. How long will it take for her funds to triple?
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87. Bob has $2,500 invested in a bank that pays 6.8% annually. How long will it take for his funds to double?
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88. Last year Thomson Inc’s earnings per share were $3.50, and its growth rate during the prior 5 years was 9.6% per year. If that growth rate were maintained, how many years would it take for Thomson’s EPS to triple?
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89. You plan to invest in securities that pay 7.0%, compounded annually. If you invest $5,000 today, how many years will it take for your investment to grow to $9,140.20?
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90. You plan to invest in bonds that pay 6.0%, compounded annually. If you invest $10,000 today, how many years will it take for your investment to grow to $25,000?
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91. You want to buy a new sports car 3 years from now, and you plan to save $2,700 per year, beginning one year from today. You will deposit your savings in an account that pays 5.2% interest. How much will you have just after you make the 3rd deposit, 3 years from now?
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92. You want to buy a new ski boat 2 years from now, and you plan to save $7,000 per year, beginning one year from today. You will deposit your savings in an account that pays 6.2% interest. How much will you have just after you make the 2nd deposit, 2 years from now?
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93. You want to go to Europe 5 years from now, and you can save $3,600 per year, beginning one year from today. You plan to deposit the funds in a mutual fund that you think will return 8.5% per year. Under these conditions, how much would you have just after you make the 5th deposit, 5 years from now?
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94. You want to quit your job and go back to school for a law degree 4 years from now, and you plan to save $2,400 per year, beginning immediately. You will make 4 deposits in an account that pays 5.7% interest. Under these assumptions, how much will you have 4 years from today?
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95. You want to quit your job and return to school for an MBA degree 3 years from now, and you plan to save $2,800 per year, beginning immediately. You will make 3 deposits in an account that pays 5.2% interest. Under these assumptions, how much will you have 3 years from today?
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96. What is the PV of an ordinary annuity with 10 payments of $4,100 if the appropriate interest rate is 5.5%?
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97. What is the PV of an ordinary annuity with 5 payments of $6,200 if the appropriate interest rate is 4.5%?
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98. You have a chance to buy an annuity that pays $12,400 at the end of each year for 3 years. You could earn 5.5% on your money in other investments with equal risk. What is the most you should pay for the annuity?
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99. You just inherited some money, and a broker offers to sell you an annuity that pays $4,300 at the end of each year for 20 years. You could earn 5% on your money in other investments with equal risk. What is the most you should pay for the annuity?
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100. Your aunt is about to retire, and she wants to sell some of her stock and buy an annuity that will provide her with income of $53,000 per year for 30 years, beginning a year from today. The going rate on such annuities is 7.25%. How much would it cost her to buy such an annuity today?
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101. What is the PV of an annuity due with 5 payments of $2,900 at an interest rate of 5.5%?
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102. What’s the present value of a perpetuity that pays $3,000 per year if the appropriate interest rate is 5%?
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103. What’s the rate of return you would earn if you paid $2,280 for a perpetuity that pays $85 per year?
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104. You have a chance to buy an annuity that pays $1,400 at the beginning of each year for 3 years. You could earn 5.5% on your money in other investments with equal risk. What is the most you should pay for the annuity?
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105. You have a chance to buy an annuity that pays $16,000 at the beginning of each year for 5 years. You could earn 4.5% on your money in other investments with equal risk. What is the most you should pay for the annuity?
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106. Your uncle is about to retire, and he wants to buy an annuity that will provide him with $57,000 of income a year for 20 years, with the first payment coming immediately. The going rate on such annuities is 5.25%. How much would it cost him to buy the annuity today?
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107. Your father is about to retire, and he wants to buy an annuity that will provide him with $74,000 of income a year for 25 years, with the first payment coming immediately. The going rate on such annuities is 5.15%. How much would it cost him to buy the annuity today?
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108. You inherited an oil well that will pay you $12,000 per year for 25 years, with the first payment being made today. If you think a fair return on the well is 7.5%, how much should you ask for it if you decide to sell it?
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109. Sam was injured in an accident, and the insurance company has offered him the choice of $46,000 per year for 15 years, with the first payment being made today, or a lump sum. If a fair return is 7.5%, how large must the lump sum be to leave him as well off financially as with the annuity?
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110. What’s the present value of a 4-year ordinary annuity of $2,250 per year plus an additional $3,800 at the end of Year 4 if the interest rate is 5%?
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111. Suppose you inherited $715,000 and invested it at 8.25% per year. How much could you withdraw at the end of each of the next 20 years?
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112. Your uncle has $415,000 and wants to retire. He expects to live for another 25 years and to earn 7.5% on his invested funds. How much could he withdraw at the end of each of the next 25 years and end up with zero in the account?
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113. Your uncle has $955,000 and wants to retire. He expects to live for another 25 years, and he also expects to earn 7.5% on his invested funds. How much could he withdraw at the beginning of each of the next 25 years and end up with zero in the account?
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114. Your grandmother just died and left you $47,500 in a trust fund that pays 6.5% interest. You must spend the money on your college education, and you must withdraw the money in 4 equal installments, beginning immediately. How much could you withdraw today and at the beginning of each of the next 3 years and end up with zero in the account?
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115. Suppose you inherited $325,000 and invested it at 8.25% per year. How much could you withdraw at the beginning of each of the next 20 years?
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116. Your father’s employer was just acquired, and he was given a severance payment of $442,500, which he invested at a 7.5% annual rate. He now plans to retire, and he wants to withdraw $35,000 at the end of each year, starting at the end of this year. How many years will it take to exhaust his funds, i.e., run the account down to zero?
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117. Your uncle has $340,000 invested at 7.5%, and he now wants to retire. He wants to withdraw $35,000 at the end of each year, starting at the end of this year. He also wants to have $25,000 left to give you when he ceases to withdraw funds from the account. For how many years can he make the $35,000 withdrawals and still have $25,000 left in the end?
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118. Your Aunt Ruth has $520,000 invested at 6.5%, and she plans to retire. She wants to withdraw $40,000 at the beginning of each year, starting immediately. How many years will it take to exhaust her funds, i.e., run the account down to zero?
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119. Your aunt has $680,000 invested at 5.5%, and she now wants to retire. She wants to withdraw $45,000 at the beginning of each year, beginning immediately. She also wants to have $50,000 left to give you when she ceases to withdraw funds from the account. For how many years can she make the $45,000 withdrawals and still have $50,000 left in the end?
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120. Suppose you just won the state lottery, and you have a choice between receiving $2,575,000 today or a 20-year annuity of $250,000, with the first payment coming one year from today. What rate of return is built into the annuity? Disregard taxes.
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121. Your girlfriend just won the Florida lottery. She has the choice of $15,900,000 today or a 20-year annuity of $1,050,000, with the first payment coming one year from today. What rate of return is built into the annuity? Disregard taxes.
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122. Assume that you own an annuity that will pay you $15,000 per year for 12 years, with the first payment being made today. You need money today to start a new business, and your uncle offers to give you $156,000 for the annuity. If you sell it, what rate of return would your uncle earn on his investment?
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123. What annual payment must you receive in order to earn a 6.5% rate of return on a perpetuity that has a cost of $1,600?
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124. What is the present value of the following cash flow stream at a rate of 7.00%?
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125. What is the present value of the following cash flow stream at a rate of 10.0%?
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126. What is the present value of the following cash flow stream at a rate of 10.0%?
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127. You sold a car and accepted a note with the following cash flow stream as your payment. What was the effective price you received for the car assuming an interest rate of 7.0%?
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128. At a rate of 5.5%, what is the future value of the following cash flow stream?
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129. Your father paid $10,000 (CF at t = 0) for an investment that promises to pay $750 at the end of each of the next 5 years, then an additional lump sum payment of $17,750 at the end of the 5th year. What is the expected rate of return on this investment?
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130. You are offered a chance to buy an asset for $4,500 that is expected to produce cash flows of $750 at the end of Year 1, $1,000 at the end of Year 2, $850 at the end of Year 3, and $6,250 at the end of Year 4. What rate of return would you earn if you bought this asset?
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131. What’s the future value of $3,300 after 5 years if the appropriate interest rate is 6%, compounded semiannually?
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132. What’s the present value of $11,500 discounted back 5 years if the appropriate interest rate is 4.5%, compounded semiannually?
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133. What’s the future value of $1,950 after 5 years if the appropriate interest rate is 6%, compounded monthly?
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134. What’s the present value of $1,700 discounted back 5 years if the appropriate interest rate is 6%, compounded monthly?
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135. Master Card and other credit card issuers must by law print the Annual Percentage Rate (APR) on their monthly statements. If the APR is stated to be 24.25%, with interest paid monthly, what is the card’s EFF%?
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136. Riverside Bank offers to lend you $50,000 at a nominal rate of 6.5%, compounded monthly. The loan (principal plus interest) must be repaid at the end of the year. Midwest Bank also offers to lend you the $50,000, but it will charge an annual rate of 6.2%, with no interest due until the end of the year. How much higher or lower is the effective annual rate charged by Midwest versus the rate charged by Riverside?
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137. Suppose Community Bank offers to lend you $10,000 for one year at a nominal annual rate of 17.75%, but you must make interest payments at the end of each quarter and then pay off the $10,000 principal amount at the end of the year. What is the effective annual rate on the loan?
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138. Suppose a bank offers to lend you $10,000 for 1 year on a loan contract that calls for you to make interest payments of $170.00 at the end of each quarter and then pay off the principal amount at the end of the year. What is the effective annual rate on the loan?
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139. Charter Bank pays a 5.00% nominal rate on deposits, with monthly compounding. What effective annual rate (EFF%) does the bank pay?
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140. Suppose your credit card issuer states that it charges a 19.50% nominal annual rate, but you must make monthly payments, which amounts to monthly compounding. What is the effective annual rate?
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141. Pace Co. borrowed $30,000 at a rate of 7.25%, simple interest, with interest paid at the end of each month. The bank uses a 360-day year. How much interest would Pace have to pay in a 30-day month?
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142. Suppose you deposited $27,000 in a bank account that pays 5.25% with daily compounding based on a 360-day year. How much would be in the account after 8 months, assuming each month has 30 days?
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143. Suppose you borrowed $27,000 at a rate of 9.0% and must repay it in 4 equal installments at the end of each of the next 4 years. How large would your payments be?
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144. Suppose you are buying your first condo for $300,000, and you will make a $15,000 down payment. You have arranged to finance the remainder with a 30-year, monthly payment, amortized mortgage at a 6.5% nominal interest rate, with the first payment due in one month. What will your monthly payments be?
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145. Your uncle will sell you his bicycle shop for $280,000, with “seller financing,” at a 6.0% nominal annual rate. The terms of the loan would require you to make 12 equal end-of-month payments per year for 4 years, and then make an additional final (balloon) payment of $50,000 at the end of the last month. What would your equal monthly payments be?
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146. Suppose you borrowed $15,000 at a rate of 11.8% and must repay it in 5 equal installments at the end of each of the next 5 years. How much interest would you have to pay in the first year?
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147. You plan to borrow $45,200 at a 7.5% annual interest rate. The terms require you to amortize the loan with 7 equal end-of-year payments. How much interest would you be paying in Year 2?
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148. Your bank offers to lend you $113,200 at an 8.5% annual interest rate to start your new business. The terms require you to amortize the loan with 10 equal end-of-year payments. How much interest would you be paying in Year 2?
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149. You are considering an investment in a Third World bank account that pays a nominal annual rate of 18%, compounded monthly. If you invest $5,000 at the beginning of each month, how many months would it take for your account to grow to $280,000? Round fractional months up.
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150. You are considering investing in a bank account that pays a nominal annual rate of 7%, compounded monthly. If you invest $3,000 at the end of each month, how many months will it take for your account to grow to $200,000?
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151. Your child’s orthodontist offers you two alternative payment plans. The first plan requires a $3,500 immediate up-front payment. The second plan requires you to make monthly payments of $137.41, payable at the end of each month for 3 years. What nominal annual interest rate is built into the monthly payment plan?
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152. Your subscription to Investing Wisely Weekly is about to expire. You plan to subscribe to the magazine for the rest of your life, and you can renew it by paying $85 annually, beginning immediately, or you can get a lifetime subscription for $740, also payable immediately. Assuming that you can earn 6.0% on your funds and that the annual renewal rate will remain constant, how many years must you live to make the lifetime subscription the better buy?
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153. You agree to make 24 deposits of $500 at the beginning of each month into a bank account. At the end of the 24th month, you will have $13,150 in your account. If the bank compounds interest monthly, what nominal annual interest rate will you be earning?
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154. You just deposited $6,500 in a bank account that pays a 4.0% nominal interest rate, compounded quarterly. If you also add another $5,000 to the account one year (4 quarters) from now and another $7,500 to the account two years (8 quarters) from now, how much will be in the account three years (12 quarters) from now?
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155. Farmers Bank offers to lend you $50,000 at a nominal rate of 5.0%, simple interest, with interest paid quarterly. Merchants Bank offers to lend you the $50,000, but it will charge 6.2%, simple interest, with interest paid at the end of the year. What’s the difference in the effective annual rates charged by the two banks?
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156. Suppose you borrowed $75,000 at a rate of 8.5% and must repay it in 5 equal installments at the end of each of the next 5 years. By how much would you reduce the amount you owe in the first year?
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157. Suppose you borrowed $30,000 at a rate of 8.5% and must repay it in 5 equal installments at the end of each of the next 5 years. How much would you still owe at the end of the first year, after you have made the first payment?
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158. Your company has just taken out a 1-year installment loan for $72,500 at a nominal rate of 11.5% but with equal end-of-month payments. What percentage of the 2nd monthly payment will go toward the repayment of principal?
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159. Your brother’s business obtained a 30-year amortized mortgage loan for $125,000 at a nominal annual rate of 7.0%, with 360 end-of-month payments. The firm can deduct the interest paid for tax purposes. What will the interest tax deduction be for Year 1?
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160. Your sister turned 35 today, and she is planning to save $85,000 per year for retirement, with the first deposit to be made one year from today. She will invest in a mutual fund that’s expected to provide a return of 7.5% per year. She plans to retire 30 years from today, when she turns 65, and she expects to live for 25 years after retirement, to age 90. Under these assumptions, how much can she spend each year after she retires? Her first withdrawal will be made at the end of her first retirement year.
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| 161. Steve and Ed are cousins who were both born on the same day, and both turned 25 today. Their grandfather began putting $2,300 per year into a trust fund for Steve on his 20th birthday, and he just made a 6th payment into the fund. The grandfather (or his estate’s trustee) will make 40 more $2,300 payments until a 46th and final payment is made on Steve’s 65th birthday. The grandfather set things up this way because he wants Steve to work, not be a “trust fund baby,” but he also wants to ensure that Steve is provided for in his old age.
Until now, the grandfather has been disappointed with Ed, hence has not given him anything. However, they recently reconciled, and the grandfather decided to make an equivalent provision for Ed. He will make the first payment to a trust for Ed today, and he has instructed his trustee to make 40 additional equal annual payments until Ed turns 65, when the 41st and final payment will be made. If both trusts earn an annual return of 8%, how much must the grandfather put into Ed’s trust today and each subsequent year to enable him to have the same retirement nest egg as Steve after the last payment is made on their 65th birthday?
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162. After graduation, you plan to work for Dynamo Corporation for 12 years and then start your own business. You expect to save and deposit $7,500 a year for the first 6 years (t = 1 through t = 6) and $15,000 annually for the following 6 years (t = 7 through t = 12). The first deposit will be made a year from today. In addition, your grandfather just gave you a $32,500 graduation gift which you will deposit immediately (t = 0). If the account earns 9% compounded annually, how much will you have when you start your business 12 years from now?
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163. You are negotiating to make a 7-year loan of $37,500 to Breck Inc. To repay you, Breck will pay $2,500 at the end of Year 1, $5,000 at the end of Year 2, and $7,500 at the end of Year 3, plus a fixed but currently unspecified cash flow, X, at the end of each year from Year 4 through Year 7. Breck is essentially riskless, so you are confident the payments will be made. You regard 8% as an appropriate rate of return on a low risk but illiquid 7-year loan. What cash flow must the investment provide at the end of each of the final 4 years, that is, what is X?
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| 164. John and Daphne are saving for their daughter Ellen’s college education. Ellen just turned 10 (at t = 0), and she will be entering college 8 years from now (at t = 8). College tuition and expenses at State U. are currently $14,500 a year, but they are expected to increase at a rate of 3.5% a year. Ellen should graduate in 4 years–if she takes longer or wants to go to graduate school, she will be on her own. Tuition and other costs will be due at the beginning of each school year (at t = 8, 9, 10, and 11).
So far, John and Daphne have accumulated $18,000 in their college savings account (at t = 0). Their long-run financial plan is to add an additional $5,000 in each of the next 4 years (at t = 1, 2, 3, and 4). Then they plan to make 3 equal annual contributions in each of the following years, t = 5, 6, and 7. They expect their investment account to earn 9%. How large must the annual payments at t = 5, 6, and 7 be to cover Ellen’s anticipated college costs?
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Original price was: $30.00.$20.00Current price is: $20.00.
Original price was: $30.00.$20.00Current price is: $20.00.
Original price was: $30.00.$20.00Current price is: $20.00.
Original price was: $30.00.$20.00Current price is: $20.00.
Original price was: $30.00.$20.00Current price is: $20.00.
Original price was: $30.00.$20.00Current price is: $20.00.
