Chapter 06 Discounted Cash Flow Valuation

61. Will has been purchasing $25,000 worth of New Tek stock annually for the past 11 years. His holdings are now worth $598,100. What is his annual rate of return on this stock?
A. 14.13 percent
B. 14.24 percent
C. 14.29 percent
D. 14.37 percent
E. 14.68 percent

62. Your father helped you start saving $20 a month beginning on your 5^th birthday. He always made you deposit the money into your savings account on the first day of each month just to "start the month out right." Today completes your 17^th year of saving and you now have $6,528.91 in this account. What is the rate of return on your savings?
A. 5.15 percent
B. 5.30 percent
C. 5.47 percent
D. 5.98 percent
E. 6.12 percent

63. Today, you turn 23. Your birthday wish is that you will be a millionaire by your 40^th birthday. In an attempt to reach this goal, you decide to save $50 a day, every day until you turn 40. You open an investment account and deposit your first $50 today. What rate of return must you earn to achieve your goal?
A. 10.67 percent
B. 11.85 percent
C. 12.90 percent
D. 13.06 percent
E. 13.54 percent

64. You just settled an insurance claim. The settlement calls for increasing payments over a 10-year period. The first payment will be paid one year from now in the amount of $10,000. The following payments will increase by 4.5 percent annually. What is the value of this settlement to you today if you can earn 8 percent on your investments?
A. $76,408.28
B. $80,192.76
C. $82,023.05
D. $84,141.14
E. $85,008.16

65. Your grandfather left you an inheritance that will provide an annual income for the next 10 years. You will receive the first payment one year from now in the amount of $4,000. Every year after that, the payment amount will increase by 6 percent. What is your inheritance worth to you today if you can earn 9.5 percent on your investments?
A. $31,699.15
B. $36,666.67
C. $41,121.21
D. $43,464.12
E. $46,908.17

66. You just won a national sweepstakes! For your prize, you opted to receive never-ending payments. The first payment will be $12,500 and will be paid one year from today. Every year thereafter, the payments will increase by 3.5 percent annually. What is the present value of your prize at a discount rate of 8 percent?
A. $166,666.67
B. $248,409.19
C. $277,777.78
D. $291,006.12
E. $300,000.00

67. A wealthy benefactor just donated some money to the local college. This gift was established to provide scholarships for worthy students. The first scholarships will be granted one year from now for a total of $35,000. Annually thereafter, the scholarship amount will be increased by 5.5 percent to help offset the effects of inflation. The scholarship fund will last indefinitely. What is the value of this gift today at a discount rate of 8 percent?
A. $437,500
B. $750,000
C. $1,200,000
D. $1,400,000
E. $1,450,750

68. Southern Tours is considering acquiring Holiday Vacations. Management believes Holiday Vacations can generate cash flows of $187,000, $220,000, and $245,000 over the next three years, respectively. After that time, they feel the business will be worthless. Southern Tours has determined that a 13.5 percent rate of return is applicable to this potential acquisition. What is Southern Tours willing to pay today to acquire Holiday Vacations?
A. $503,098
B. $538,615
C. $545,920
D. $601,226
E. $638,407

69. You are considering two savings options. Both options offer a 7.4 percent rate of return. The first option is to save $900, $2,100, and $3,000 at the end of each year for the next three years, respectively. The other option is to save one lump sum amount today. If you want to have the same balance in your savings account at the end of the three years, regardless of the savings method you select, how much do you need to save today if you select the lump sum option?
A. $4,410
B. $4,530
C. $4,600
D. $5,080
E. $5,260

70. Your parents have made you two offers. The first offer includes annual gifts of $10,000, $11,000, and $12,000 at the end of each of the next three years, respectively. The other offer is the payment of one lump sum amount today. You are trying to decide which offer to accept given the fact that your discount rate is 8 percent. What is the minimum amount that you will accept today if you are to select the lump sum offer?
A. $28,216
B. $29,407
C. $29,367
D. $30,439
E. $30,691