Exam 21: Capital Investment Decisions and the Time Value of Money

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Wasson Corporation is considering an investment project costing $520,000. The project is estimated to have an eight-year life, generate annual cash flows of $120,000, and have a salvage value of $40,000 after eight years. What is the project's payback period?

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Juan has just received a prize which entitles him to receive annual payments of $10,000 for the next 10 years. In order to calculate the overall value of the prize today, which of the following tables would be the best for him to use?

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When a company is evaluating an investment with discounted cash flows, if the investment has a higher risk, the company will use a lower discount rate, and vice versa.

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Amanda is ready to retire and as a retirement benefit, she can choose to take $380,000 now or $50,000 at the end of each year for a period of 10 years. To compare the two options, she must calculate the present value of both alternatives. She believes a discount rate of 5% would be the most appropriate rate to apply. How much is the present value if she takes the cash as a lump sum right now? Please refer to the following data, if needed: Present Value of an Annuity of \1 1 5\% 6\% 7\% 8\% 9\% 10\% 2 1.952 0.943 0.935 0.926 0.917 0.909 3 2.723 2.83 1.808 1.783 1.759 1.736 4 3.546 3.465 2.624 2.577 2.531 2.487 5 4.329 4.21 4.100 3.312 3.240 3.170 6 5.076 4.917 4.767 4.623 3.890 3.79 7 5.786 5.58 5.389 5.206 5.033 4.355 8 6.463 6.210 5.971 5.747 5.535 5.335 9 7.108 6.80 6.515 6.247 5.995 5.759 10 7.722 7.360 7.024 6.710 6.418 6.145

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Centurion Company is considering a mineral extraction project which requires an initial investment of $2,000,000 and will yield annual cash flows of $300,000 for 8 years. Centurion has an 8% hurdle rate. What is the NPV of the project? Present Value of an Annuity of \ 1 5\% 6\% 7\% 8\% 9\% 10\% 1 0.952 0.943 0.939 0.92 0.917 0.909 2 1.859 1.833 1.809 1.78 1.759 1.736 3 2.723 2.673 2.624 2.577 2.531 2.487 4 3.546 3.465 3.387 3.31 3.240 3.170 5 4.329 4.212 4.10 3.99 3.890 3.791 6 5.076 4.917 4.767 4.623 4.486 4.355 7 5.780 5.582 5.389 5.206 5.033 4.355 8 6.463 6.210 5.971 5.747 5.535 5.335 9 7.108 6.802 6.513 6.247 5.995 5.759 10 7.722 7.360 7.024 6.710 6.418 6.145

(Multiple Choice)
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If $1,000 is invested in an account with 4% interest compounding yearly, what will the balance of the account be after 4 years? Please refer to the following Future Value table: Future Value of \1 4\% 5\% 6\% 7\% 1 1.040 1.050 1.060 1.070 2 1.082 1.103 1.124 1.145 3 1.125 1.158 1.191 1.225 4 1.170 1.216 1.262 1.311 5 1.217 1.276 1.338 1.403 6 1.265 1.340 1.419 1.501

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$23,000 invested today in an account with 5% interest compounding yearly will grow to what amount in 6 years? Future Value of \ 1 4\% 5\% 6\% 7\% 8\% 9\% 1 1.040 1.050 1.060 1.070 1.080 1.090 2 1.082 1.103 1.124 1.145 1.166 1.188 3 1.125 1.158 1.191 1.225 1.260 1.295 4 1.170 1.216 1.261 1.311 1.360 1.412 5 1.217 1.276 1.338 1.403 1.469 1.539 6 1.265 1.340 1.410 1.501 1.587 1.677 7 1.316 1.407 1.504 1.606 1.714 1.828 8 1.369 1.477 1.594 1.718 1.851 1.993 9 1.423 1.551 1.689 1.838 1.999 2.172 10 1.480 1.629 1.791 1.967 2.159 2.367

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Quasar Company is evaluating an investment that will cost $520,000 and will yield cash flows of $300,000 in the first year, $200,000 in the second year, and $100,000 in the third and final year. Please use the tables below and determine the internal rate of return. Present Value of \ 1 5\% 6\% 7\% 8\% 9\% 10\% 1 0.952 0.943 0.935 0.926 0.917 0.909 2 0.907 0.890 0.873 0.857 0.842 0.826 3 0.864 0.840 0.816 0.794 0.772 0.751 4 0.823 0.792 0.763 0.735 0.708 0.683 5 0.784 0.747 0.713 0.681 0.650 0.621 Please choose the percentage below that comes closest to the actual IRR.

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Sullivan Company is considering the purchase of a new machine costing $80,000. Sullivan's management is estimating that the new machine will generate additional cash flows of $12,000 a year for ten years and have a salvage value of $3,000 at the end of ten years. What is the machine's payback period?

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Juan has just received a prize which entitles him to receive annual payments of $10,000 at the end of each year for the next 10 years. He would like to sell the rights to the prize money to a financial institution, so that he can have the cash now. In order to estimate the present value of the prize, he will use a discount rate of 5%. What is the present value of the prize? Present Value of an Annuity of \ 1 5\% 6\% 7\% 8\% 9\% 10\% 1 0.952 0.943 0.935 0.926 0.917 0.909 2 1.859 1.833 1.808 1.783 1.759 1.736 3 2.723 2.673 2.624 2.577 2.531 2.487 4 3.546 3.465 3.387 3.312 3.240 3.170 5 4.329 4.212 4.100 3.993 3.890 3.791 6 5.076 4.917 4.767 4.623 4.486 4.355 7 5.786 5.582 5.389 5.206 5.033 4.868 8 6.463 6.210 5.971 5.747 5.535 5.335 9 7.108 6.802 6.515 6.247 5.995 5.759 10 7.722 7.360 7.024 6.710 6.418 6.145

(Multiple Choice)
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Please refer to the following data about an investment opportunity: Initial investment \ 500,000 Discount rate 10\% Yearly cash flows Year 1 \ 100,000 Year 2 \ 200,000 Year 3 \ 200,000 Year 4 \ 200,000 Year 5 \ 100,000 Refer to the following table for PV factors: Preant Value of \1 5\% 6\% 7\% 8\% 9\% 10\% 1 0.952 0.943 0.935 0.926 0.917 0.909 2 0.907 0.890 0.873 0.857 0.842 0.826 3 0.864 0.840 0.816 0.794 0.772 0.751 4 0.823 0.79 0.763 0.735 0.708 0.683 5 0.784 0.747 0.713 0.681 0.650 0.621 6 0.746 0.705 0.666 0.630 0.596 0.564 7 0.711 0.665 0.623 0.583 0.547 0.513 8 0.677 0.627 0.582 0.540 0.502 0.467 9 0.645 0.592 0.544 0.500 0.460 0.424 10 0.614 0.558 0.508 0.463 0.422 0.386 How much is the NPV of the project?

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Which of the following is TRUE regarding capital rationing decisions for capital assets?

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Harvard Investments is considering an opportunity which will require an initial outlay of $100,000 but will return cash flows for the next 5 years as follows: $10,000 in Year 1, $20,000 in Year 2, $30,000 in Year 3, $40,000 in Year 4, and $50,000 in Year 5. If Harvard uses a discount rate of 9%, how much is the NPV of the project? Preant Value of \1 5\% 6\% 7\% 8\% 9\% 10\% 1 0.952 0.943 0.935 0.926 0.917 0.909 2 0.907 0.890 0.873 0.857 0.842 0.826 3 0.864 0.840 0.816 0.794 0.772 0.751 4 0.823 0.79 0.763 0.735 0.708 0.683 5 0.784 0.747 0.713 0.681 0.650 0.621 6 0.746 0.705 0.666 0.630 0.596 0.564 7 0.711 0.665 0.623 0.583 0.547 0.513 8 0.677 0.627 0.582 0.540 0.502 0.467 9 0.645 0.592 0.544 0.500 0.460 0.424 10 0.614 0.558 0.508 0.463 0.422 0.386

(Multiple Choice)
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The payback method and the rate of return method are often used to perform an initial screening of investments, rather than a detailed in-depth analysis.

(True/False)
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If $2,000 is invested in an account with 5% interest compounding yearly, what will the balance of the account be after 6 years? Please refer to the following Future Value table: Future Value of s1 4\% 5\% 6\% 7\% 1 1.040 1.050 1.060 1.070 2 1.082 1.103 1.124 1.145 3 1.125 1.158 1.191 1.225 4 1.170 1.216 1.262 1.311 5 1.217 1.276 1.338 1.403 6 1.265 1.340 1.419 1.501

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The internal rate of return (IRR) is the rate of return, based on discounted cash flows, that a company can expect to earn by investing in a capital asset.

(True/False)
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A criticism of the rate of return method is that it ignores the time value of money.

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If Arthur Godfried invests $1,000 today at a rate of 7% compounding yearly, what will the value of the investment be in 4 years? Future Value of \ 1 4\% 5\% 6\% 7\% 8\% 9\% 1 1.040 1.050 1.060 1.070 1.080 1.090 2 1.082 1.103 1.124 1.145 1.166 1.188 3 1.125 1.158 1.191 1.225 1.260 1.295 4 1.170 1.216 1.261 1.311 1.360 1.412 5 1.217 1.276 1.338 1.403 1.469 1.539 6 1.265 1.340 1.410 1.501 1.587 1.677 7 1.316 1.407 1.504 1.606 1.714 1.828 8 1.369 1.477 1.594 1.718 1.851 1.993 9 1.423 1.551 1.689 1.838 1.999 2.172 10 1.480 1.629 1.791 1.967 2.159 2.367

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The payback method can only be used when the net cash inflows from a capital investment are the same for each period.

(True/False)
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Please refer to the following data concerning 4 investment alternatives: Praject A Praject B Praject C Praject D Initial investment \ 210,000 \ 400,000 \ 550,000 \ 1,000,000 PV of cash Inflows \ 285,000 \ 490,000 \ 800,000 \ 990,000 Payback period (years) 7.2 6.0 9.5 2.0 NPV of project \ 75,000 \ 90,000 \ 250,000 (\ 10,000 - What is the profitability index for Project C?

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