i) As per your own understanding of the cash flow pattern of deposits presented above, compute the valu of the investment at the end of vear 7. Clearly highlight all computational steps.- ii) Clearly indicate who, amongst John and Marsha, is conceptually correct in terms of the type of cash flow
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- 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 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. ii)…Heather is willing to invest $30,000 for six 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 six-year investment period, complete the following table and indicate whether Heather 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 L M P Interest Rate and Method 5% compound interest 4% simple interest 7% compound interest Expected Future Value $ $ $ Make this investment?
- Claire Fitch is planning to begin an individual retirement program in which she will Invest $2,800 at the end of each year. Fitch plans to retire after making 30 annual Investments in the program earning a return of 8%. What is the value of the program on the date of the last payment (30 years from the present)? (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided. Round your "FV of an Ordinary Annulty" to 4 decimal places and final answer to the nearest whole dollar.) Periodic Cash Flow x f (FV of an Ordinary Annuity) Future ValueChuck Ponzi has talked an elderly woman into loaning him $50,000 for a new business venture. She has, however, successfully passed a finance class and requires Chuck to sign a binding contract on repayment of the $50,000 with an annual interest rate of 11% over the next 15 years. Determine the cash flow to the woman under a discount loan, in which Ponzi will have a lump-sum payment at the end of the contract. What is the amount of payment that the woman will receive at the end of years 1 through 14?Shauna wishes to establish a trust fund from which her son can withdraw $50,000 every six months for 18 years, when he reaches 30 years old. After 8 years, he will receive $500,000 for college. The trust will be invested at 8.7% per annum compounded semi-annually. How large should the trust be?
- Stacey deposits $ 4500 at the end of each year for 30 years into an investment fund which pays out interests at annual effective interest rate of 3 %. He is only able to reinvest this interest at an annual effective interest rate of 2 %. What is the accumulated value of his investments at the time of the last investment. Explain your work.Claire Fitch is planning to begin an individual retirement program in which she will invest $1,500 at the end of each year. Fitch plans to retire after making 30 annual investments in the program earning a return of 10%. What is the value of the program on the date of the last payment (30 years from the present)?a. A friend of yours, Grace, wants to purchase a house in five years. To save for the house, Grace decides to deposit $138,000 in a savings account on January 1 of this year. The savings account will earn 7 percent annually. Any interest earned will be added to the fund at year-end (rather than withdrawn). b. At the end of each year, a different friend, Claire, plans to deposit $10,300 in a savings account. The account will earn 10 percent annual interest, which will be added to the fund balance at year-end. Claire will make her first deposit at the end of this year. (FV of $1, PV of $1, FVA of $1, and PVA of $1) Note: Use appropriate factor(s) from the tables provided. Required: 1. In (a), how much will be available at the end of five years? What is the total interest earned over the five years? 2. In (b), what will be the balance in the savings account at the end of the 8th year (i.e., after 8 deposits)? What is the interest earned on the 8 deposits?
- Chuck Ponzi has talked an elderly woman into loaning him $35000 for a new business venture. She has, however, successfully passed a finance class and requires Chuck to sign a binding contract on repayment of the $35000 with an annual interest rate of 11% over the next 15 years. Determine the cash flow to the woman under an interest-only loan, in which Ponzi will pay the annual interest expense each year and pay the principal back at the end of the contract. What is the amount of payment that the woman will receive at the end of the loan in year 15?Abigail wishes to establish a trust fund from which her daughter can withdraw $6,000 every six months for 15 years, when she reaches 16 years old. At the end of which time, she will receive the remaining money in the trust, which she would like to be $25,000. The trust will be invested at 6% per annum compounded semi-annually. How large should the trust be?Charlie has $14,000 to invest for a period of 5 years. The following three alternatives are available to him: • Account 1 pays 6.00% for year 1, 9.00% for year 2, 11.00% for year 3, 13.00% for year 4, and 15.00% for year 5, all with annual compounding. • Account 2 pays 15.00% for year 1, 13.00% for year 2, 11.00% for year 3, 9.00% for year 4, and 6.00% for year 5, all with annual compounding. • Account 3 pays interest at the rate of 10.75576% per year for all 5 years. Based on the available balance at the end of year 5, which alternative is Charlie's best choice? Alternative 2 Year 5 Balance, Alternative 1: $ Year 5 Balance, Alternative 2: $ Year 5 Balance, Alternative 3: $ 3.123.14 4.380.38 1506