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|
Investment
|
Interest Rate and Method
|
Expected Future Value
|
Make this investment?
|
|---|---|---|---|
| L | 5% |
_________
|
_____________ |
| M | 4% simple interest |
__________
|
_______________ |
| P | 7% compound interest |
__________
|
______________ |
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- Sarah is willing to invest $30,000 for three years, and is an economically rational investor. She has identified three investment alternatives (L, M, and P) that vary in their method of calculating interest and in the annual interest rate offered. Since she can only make one investment during the three-year investment period, complete the following table and indicate whether Sarah should invest in each of the investments. Note: When calculating each investment’s future value, assume that all interest is earned annually. The final value should be rounded to the nearest whole dollar. Investment Interest Rate and Method Expected Future Value Make this investment? L 7% compound interest M 6% simple interest P 11% compound interestYuri is willing to invest $35,000 for six years, and is an economically rational investor. He has identified three investment alternatives (X, Y, and Z) that vary in their method of calculating interest and in the annual interest rate offered. Since he can only make one investment during the six-year investment period, complete the following table and indicate whether Yuri should invest in each of the investments. Note: When calculating each investment’s future value, assume that all interest is earned annually. The final value should be rounded to the nearest whole dollar. Investment Interest Rate and Method Expected Future Value Make this investment? X 9% compound interest Y 12% compound interest Z 12% simple interestNicholai is willing to invest $35,000 for six years, and is an economically rational investor. He has identified three investment alternatives (A, B, and C) that vary in their method of calculating interest and in the annual interest rate offered. Since he can only make one investment during the six-year investment period, complete the following table and indicate whether Nicholai should invest in each of the investments. Note: When calculating each investment’s future value, assume that all interest is earned annually. The final value should be rounded to the nearest whole dollar. Investment Interest Rate and Method Expected Future Value Make this investment? A 9% simple interest B 4% compound interest C 6% compound interest
- John and Marsha are in an argument about an investment which requires a series of six annual deposits. If an investor decides to invest, he/she has to deposit $30,000 at the end of year 1, $30,000 at the end of year 2, $30,000 at the end of year 4, $30,000 at the end of year 5, $30,000 at the end of year 6 and $30,000 at the end of year 7. The deposited amounts grow at a rate of 5% p.a.John and Marsha are in an argument about an investment which requires a series of six annual deposits. If an investor decides to invest, he/she has to deposit $30,000 at the end of year 1, $30,000 at the end of year 2, $30,000 at the end of year 4, $30,000 at the end of year 5, $30,000 at the end of year 6 and $30,000 at the end of year 7. The deposited amounts grow at a rate of 5% p.a. The argument is about the nature of the cash flow stream of the six deposits – whether the cash flows are an annuity or a mixed stream. As per John’s opinion, the value of this investment at the end of year 7 will be $244,260.25 while Marsha thinks that the value of this investment at the end of year 7 will be $207,795.07 You are required to assist both in coming to a resolution of the argument by doing as follows: 1.) As per your own understanding of the cash flow pattern of deposits presented above, compute the value of the investment at the end of year 7. Clearly highlight all computational steps.…John and Marsha are in an argument about an investment which requires a series of six annual deposits. If an investor decides to invest, he/she has to deposit $30,000 at the end of year 1, $30,000 at the end of year 2, $30,000 at the end of year 4, $30,000 at the end of year 5, $30,000 at the end of year 6 and $30,000 at the end of year 7. The deposited amounts grow at a rate of 5% p.a. The argument is about the nature of the cash flow stream of the six deposits – whether the cash flows are an annuity or a mixed stream. As per John’s opinion, the value of this investment at the end of year 7 will be $244,260.25 while Marsha thinks that the value of this investment at the end of year 7 will be $207,795.07 You are required to assist both in coming to a resolution of the argument by doing as follows: i) As per your own understanding of the cash flow pattern of deposits presented above, compute the value of the investment at the end of year 7. Clearly highlight all computational steps.…
- John and Marsha are in an argument about an investment which requires a series of six annual deposits. If an investor decides to invest, he/she has to deposit $30,000 at the end of year 1, $30,000 at the end of year 2, $30,000 at the end of year 4, $30,000 at the end of year 5, $30,000 at the end of year 6 and $30,000 at the end of year 7. The deposited amounts grow at a rate of 5% p.a. The argument is about the nature of the cash flow stream of the six deposits – whether the cash flows are an annuity or a mixed stream. As per John’s opinion, the value of this investment at the end of year 7 will be $244,260.25 while Marsha thinks that the value of this investment at the end of year 7 will be $207,795.07. Is it true that on the date of maturity, a bond does not carry any interest rate risk? Briefly explain in no more than 150 words. Do not quote anybody.John and Marsha are in an argument about an investment which requires a series of six annual deposits. If an investor decides to invest, he/she has to deposit $30,000 at the end of year 1, $30,000 at the end of year 2, $30,000 at the end of year 4, $30,000 at the end of year 5, $30,000 at the end of year 6 and $30,000 at the end of year 7. The deposited amounts grow at a rate of 5% p.a. The argument is about the nature of the cash flow stream of the six deposits – whether the cash flows is an annuity or a mixed stream. As per John’s opinion, the value of this investment at the end of year 7 will be $244,260.25 while Marsha thinks that the value of this investment at the end of year 7 will be $207,795.07 You are required to assist both in coming to a resolution of the argument by doing as follows: i) Using the cash flow pattern of deposits presented above, compute the value of the investment at the end of year 7.Alicia is considering two offers-to-purchase that she has received on a residential building lot she wishes to sell. One is a cash offer of $145,000. The other offer consists of three payments of $49,000-one now, one in six months, and one in twelve months. Which offer has the larger economic value if Alicia can earn 4.4% compounded quarterly on low-risk investments? How much more (in current dollars) is the better offer worth?
- Marian Plunket owns her own business and is considering an investment. If she undertakes the investment, it will pay $4,760 at the end of each of the next 3 years. The opportunity requires an initial $1,190 investment of plus an additional investment at the end of the second year of $5,950 What is the NPV of this opportunity if the interest rate is per year? Should Marian take it? What is the NPV of this opportunity if the interest rate is 2.4% per year? The NPV of this opportunity is $ (Round to the nearest cent.)Marian Plunket owns her own business and is considering an investment. If she undertakes the investment, it will pay $4,600 at the end of each of the next 3 years. The opportunity requires an initial investment of $1,150 plus an additional investment at the end of the second year of $5,750. What is the NPV of this opportunity if the interest rate is 1.9%per year? Should Marian take it? What is the NPV of this opportunity if the interest rate is per year?Katrina is planning to make an additional investment at the end of each year for his retirement in 20 years. Katrina plans to invest $5,000 each year for the first 5 years, $8,000 each year for the next 5 years, and $ 12,000 each year for the remaining 10 years. If the rate of return of 11 percent can be earned in these investments, how much money will Katrina have at the end of 20 years? (Answer must have step by step explainations.)
