Problem 6. Including loan The following investment alternatives are being evaluated. Assuming that there is only $30,000 available and the surplus will be acquired through a loan at 5.5% annual effective interest payable in annual payments over 4 years. Determine which alternative should be selected. Perform the analysis using the Present Value, Equivalent Annuity and IRR Methods. Use a MARR = 7% Year A B 0 -25000 -46000 1 7460 16640 2 7460 16640 3 7460 16640 4 6500 12600 5 6000 10600

Problem 6. Including loan The following investment alternatives are being evaluated. Assuming that there is only $30,000 available and the surplus will be acquired through a loan at 5.5% annual effective interest payable in annual payments over 4 years. Determine which alternative should be selected. Perform the analysis using the Present Value, Equivalent Annuity and IRR Methods. Use a MARR = 7% Year A B 0 -25000 -46000 1 7460 16640 2 7460 16640 3 7460 16640 4 6500 12600 5 6000 10600

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Problem 1: You can choose between two different investments: (A) an annuity that pays $10,000 each year for the next 6 years; (B) a perpetuity that pays $10,000 forever, starting 11 years from now. 1. Which investment do you choose, A or B, if the interest rate is 5%? What if it is 10%? Explain in words the reason behind your choices.
Classify the financial problem. Assume a 9% interest rate compounded annually. What annual deposit is necessary to give $10,000 in 6 years? A.future valueB.amortization C.sinking fundD.present valueE.ordinary annuity Answer the question. (Round your answer to the nearest cent.)
2. Effective Annual Yield (EAY) and Effective Annual Rate (EAR) A. You plan to invest $10,000 for one year and you have the opportunity to invest it at a 12 percent APR, compounded monthly. Alternatively, you could invest the funds at an annual rate of 12.25 percent compounded semiannually. What is the EAY of each alternative? Which investment should be chosen? B. A car loan offered by Bank One requires quarterly payments and has an APR of 5.8 percent, whereas the same loan amount may be obtained from Bank Two at an APR of 6 percent with monthly payments. Which loan would you ch0oose and why?
Net Present Value A project has estimated annual net cash flows of $13,750 for three years and is estimated to cost $30,000. Assume a minimum acceptable rate of return of 15%. Use the Present Value of an Annuity of $1 at Compound Interest table below. Present Value of an Annuity of $1 at Compound Interest Year 6% 10% 12% 15% 20% 1 0.943 0.909 0.893 0.870 0.833 2 1.833 1.736 1.690 1.626 1.528 3 2.673 2.487 2.402 2.283 2.106 4 3.465 3.170 3.037 2.855 2.589 5 4.212 3.791 3.605 3.353 2.991 6 4.917 4.355 4.111 3.785 3.326 7 5.582 4.868 4.564 4.160 3.605 8 6.210 5.335 4.968 4.487 3.837 9 6.802 5.759 5.328 4.772 4.031 10 7.360 6.145 5.650 5.019 4.192 Determine (a) the net present value of the project and (b) the present value index. If required, use the minus sign to indicate a negative net present value. Net present value of the project (round to the nearest dollar) Present value index (rounded to two decimal places)
Use the following 8% interest factors to answer the question below: Future Value of Ordinary Annuity. 8.92280 10.63663 12.48756 What amount should be recorded as the cost of a machine purchased December 31, 2023, which is to be financed by making 8 annual payments of $10,000? Each payment is made at the end of the period. The applicable interest rate is 8%. Present Value of Ordinary Annuity. 5.2064 5.7466 6.2469 7 periods 8 periods 9 periods hs
Net Present Value A project has estimated annual net cash flows of $6,250 for eight years and is estimated to cost $37,500. Assume a minimum acceptable rate of return of 15%. Use the Present Value of an Annuity of $1 at Compound Interest table below. Present Value of an Annuity of $1 at Compound Interest Year 6% 10% 12% 15% 20% 1 0.943 0.909 0.893 0.870 0.833 2 1.833 1.736 1.690 1.626 1.528 2.673 2.487 2.402 2.283 2.106 4 3.465 3.170 3.037 2.855 2.589 5 4.212 3.791 3.605 3.353 2.991 4.917 4.355 4.111 3.785 3.326 7 5.582 4.868 4.564 4.160 3.605 8 6.210 5.335 4.968 4.487 3.837 9. 6.802 5.759 5.328 4.772 4.031 10 7.360 6.145 5.650 5.019 4.192 Determine (a) the net present value of the project and (b) the present value index. If required, use the minus sign to indicate a negative net present value. Net present value of the project (round to the nearest dollar) Present value index (rounded to two decimal places) Feedback V Check My Work a. Multiply the present value factor for an annuity of…
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? Group of answer choices The cash flows are in the form of a deferred annuity, and they total to $100,000. You learn that the annuity lasts for 10 years rather than 5 years, hence that each payment is for $10,000 rather than for $20,000. The discount rate decreases. The riskiness of the investment's cash flows increases. The total amount of cash flows remains the same, but more of the cash flows are received in the later years and less are received in the earlier years. The discount rate increases.
Multiple choice: If for five years, the cash inflows are uniform at P120,000 which present value of annuity factor are you going to use to covert the inflows into the present value assuming that the cost of capital is 12%? • 0.56743• 1.56743• 3.60478• 2.40188
What is the present value of a perpetual stream of cash flows that pays $70,000 at the end of year one and then grows at a rate of 5% per year indefinitely? The rate of interest used to discount the cash flows is 11%. Question content area bottom Part 1 The present value of the growing perpetuity is $ enter your response here . (Round to the nearest cent.)
8. A particular investment promises to make year-end annual payments in perpetuity. The first four annual payments will be $5. After that, future annual payments will grow at 5% per year forever. What is the present value of this investment if the discount rate is 10%? a. $98.68 b. $87.57 c. $76.46 d. $65.35 e. $54.24
A project has estimated annual net cash flows of $147,000 for 4 years and is estimated to cost $475,500. Assume a minimum acceptable rate of return of 10%. Use the Present Value of an Annuity of $1 at Compound Interest table below. Present Value of an Annuity of $1 at Compound Interest Year 6% 10% 12% 15% 20% 1 0.943 0.909 0.893 0.870 0.833 2 1.833 1.736 1.690 1.626 1.528 3 2.673 2.487 2.402 2.283 2.106 4 3.465 3.170 3.037 2.855 2.589 5 4.212 3.791 3.605 3.353 2.991 6 4.917 4.355 4.111 3.785 3.326 7 5.582 4.868 4.564 4.160 3.605 8 6.210 5.335 4.968 4.487 3.837 9 6.802 5.759 5.328 4.772 4.031 10 7.360 6.145 5.650 5.019 4.192 Determine (1) the net present value of the project and (2) the present value index. If required, use the minus sign to indicate a negative net present value. Net present value of the project (round to the nearest dollar) $ Present value index (rounded to two decimal places)
i. Find the annual payments for an ordinary annuity and an annuity due for 12 years with a PV of $1,000 and an interest rate of 10%. Round your answers to the nearest cent. Annual payment for ordinary annuity: $ Annual payment for annuity due: $ j. Find the PV and the FV of an investment that makes the following end-of-year payments. The interest rate is 10%. Year 1 Payment $100 2 $300 $500 3 Round your answers to the nearest cent. PV of investment: $ FV of investment: $ k. Five banks offer nominal rates of 9% on deposits, but A pays interest annually, B pays semiannually, C pays quarterly, D pays monthly, and E pays daily. Assume 365 days in a year. 1. What effective annual rate does each bank pay? If you deposit $3,000 in each bank today, how much will you have in each bank at the end of 1 year? 2 years? Round your answers to two decimal places. EAR FV after 1 year FV after 2 years Nominal rate $ $ Payment A A % B $ $ % B B C % $ 2. If the TVM is the only consideration, what nominal…

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