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The following statements regarding the NPV rule and the rate of return rule are true except:


A) Accept a project if its NPV > 0
B) Reject a project if the NPV < 0
C) Accept a project if its rate of return > 0
D) Accept a project if its rate of return > opportunity cost of capital

E) C) and D)
F) None of the above

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If the present value annuity factor for 10 years at 10% interest rate is 6.1446, what is the present value annuity factor for an equivalent annuity due?


A) 6.1446
B) 7.38
C) 6.759
D) None of the above

E) None of the above
F) All of the above

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In the case of a growing perpetuity, the present value of the cash flow is given by: [C1/(r - g)] where r > g.

A) True
B) False

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John House has taken a $250,000 mortgage on his house at an interest rate of 6% per year. If the mortgage calls for twenty equal annual payments, what is the amount of each payment?


A) $21,796.14
B) $10,500.00
C) $16,882.43
D) None of the above

E) B) and C)
F) None of the above

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You would like to have enough money saved to receive $80,000 per year perpetuity after retirement so that you and your family can lead a good life. How much would you need to save in your retirement fund to achieve this goal (assume that the perpetuity payments start one year from the date of your retirement. The interest rate is 8%) ?


A) $7,500,000
B) $750,000
C) $1,000,000
D) None of the above

E) None of the above
F) B) and D)

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What is the net present value (NPV) of the following cash flows at a discount rate of 9%?  t=0 t=1 t=2 t=3250,000100,000150,000200,000\begin{array}{cccc} \underline{ \text { t=0} } & \underline{ \text { t=1} } & \underline{ \text { t=2} } & \underline{ \text { t=3} } \\-250,000&100,000&150,000&200,000\end{array}


A) $122,431.81
B) $200,000
C) $155,950.68
D) None of the above

E) B) and C)
F) C) and D)

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You would like to have enough money saved to receive a $50,000 per year perpetuity after retirement so that you and your family can lead a good life. How much would you need to save in your retirement fund to achieve this goal (assume that the perpetuity payments starts on the day of retirement. The interest rate is 8%) ?


A) $1,000,000
B) $675,000
C) $625,000
D) None of the above

E) A) and D)
F) None of the above

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A perpetuity is defined as:


A) Equal cash flows at equal intervals of time for a specific number of periods
B) Equal cash flows at equal intervals of time forever
C) Unequal cash flows at equal intervals of time forever
D) None of the above

E) A) and B)
F) B) and C)

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If the three-year present value annuity factor is 2.673 and two-year present value annuity factor is 1.833, what is the present value of $1 received at the end of the 3 years?


A) $1.1905
B) $0.84
C) $0.89
D) None of the above

E) A) and D)
F) B) and C)

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Briefly explain the concept of risk.

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If the future cash flows from an investm...

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State the "rate of return rule."

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Invest as long as the rate of ...

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The managers of a firm can maximize stockholder wealth by:


A) Taking all projects with positive NPVs
B) Taking all projects with NPVs greater than the cost of investment
C) Taking all projects with NPVs greater than present value of cash flow
D) All of the above

E) A) and B)
F) None of the above

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If the five-year present value annuity factor is 3.60478 and four-year present value annuity factor is 3.03735, what is the present value at the $1 received at the end of five years?


A) $0.63552
B) $1.76233
C) $0.56743
D) None of the above

E) All of the above
F) A) and B)

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An initial investment of $400,000 will produce an end of year cash flow of $480,000. What is the NPV of the project at a discount rate of 20%?


A) $176,000
B) $80,000
C) $0 (zero)
D) None of the above

E) A) and B)
F) All of the above

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Which of the following is generally considered an example of a perpetuity:


A) Interest payments on a 10-year bond
B) Interest payments on a 30-year bond
C) Consols
D) None of the above

E) B) and C)
F) A) and D)

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The rate of return, discount rate, hurdle rate or opportunity cost of capital all means the same.

A) True
B) False

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"Accept investments that have positive net present values" is called the net present value rule.

A) True
B) False

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Present Value of $100,000 that is, expected, to be received at the end of one year at a discount rate of 25% per year is:


A) $80,000
B) $125,000
C) $100,000
D) None of the above

E) C) and D)
F) B) and D)

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If the present value of $1.00 received n years from today at an interest rate of r is 0.621, then what is the future value of $1.00 invested today at an interest rate of r% for n years?


A) $1.00
B) $1.61
C) $1.621
D) Not enough information to solve the problem

E) B) and C)
F) A) and D)

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John House has taken a 20-year, $250,000 mortgage on his house at an interest rate of 6% per year. What is the value of the mortgage after the payment of the fifth annual installment?


A) $128,958.41
B) $211,689.53
C) $141,019.50
D) None of the above

E) A) and B)
F) None of the above

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