a. Luis is planning on retiring in 10 years. Luis has a mutual fund that is earning a return of 6% compounded annually. He currently has $200,000 in the account. He wants to have $1,000,000 when he retires. Compute the amount that Luis needs to invest today assuming that interest is compounded annually. Refer to part a. Compute the amount that Luis should invest assuming the investment earns interest compounded semi-annually.
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- Willie would like to have $500,000 set aside at retirement. He would like to make annual deposits into his retirement fund, and expects to retire in 30 years. In order to meet his goal, how much must he deposit each year if he can earn a 6% return? N =_____ I/YR =_____ PV =________ PMT =_________ FV = ____________9. Implied interest rate and period Consider the case of the following annuities, and the need to compute either their expected rate of return or duration. Joshua inherited an annuity worth $6,830.77 from his uncle. The annuity will pay him eight equal payments of $1,100 at the end of each year. The annuity fund is offering a return of Joshua's friend, willie, has hired a financial planner for advice on retirement. Considering Willie's current expenses and expected future lifestyle changes, the financial planner has stated that once Willie crosses a threshold of $1,387,311 in savings, he will have enough money for retirement. Willie has nothing saved for his retirement yet, so he plans to start depositing $25,000 in a retirement fund at a fixed rate of 6.00% at the end of each year. It will take v for Willie to reach his retirement goal.Now consider your financial objective is to save $500,000 for preparing your retirement, assuming 30 years from now. If you invest your RRSP savings in a mutual fund which can realize an average return of 10% per year. To achieve your goal, how much do you need to save at the end of each year over the 30-year period? a. 4,039.26 b. 3,039.62 c. 2,985.54 d. 10,988.32 What is the FV of $100 deposited today into an account with an APR 12.6%, compounded semiannually for 10 years? a. 1478.96 b. 3460.06 c. 327.63 d. 339.36 A car dealer offers payment of $525.32 per months for 60 months on a $30,000 car after making a $5000 down payment. What's the loan's APR? a. 10.4798% b. 9.5224% c. 1.9609% d. 0.7935%
- Assume Sheryl Jenkins wants to accumulate $ 12,485.35 in two years. She currently has $ 10,809.59 to invest. What interest rate must she earn on her investment (that is, if she deposits $ 10,809.59 today) to have $ 12,485.35 exactly two years from today?Use Excel to solve the following problem. Assume that you are 39 years old planning for your future retirement at age 65. You think that you will be comfortable living on the proceeds from a $1,000,000 401K Retirement Account.a. If your investments grow at an average rate of 6% annually how much must you invest monthly to achieve your projected retirement fund total by the time you retire in 26 years?b. Assuming that when you do retire, you will re-direct your $1,000,000 investment portfolio into less volatile and more secure mutual funds. You expect that, invested in these sources, your portfolio will securely earn 4.5% annually. Based on your assumptions and the normal life expectancy of an American male or female (I determined this to be 81 years old), without consuming any of your principal, how much money will you have on a monthly basis to support your life?(I have worked this problem out on my own, I just want to be sure I applied the formulas and concepts correctly.)9. Implied interest rate and period Consider the case of the following annuities, and the need to compute either their expected rate of return or duration. A. Anthony inherited an annuity worth $3,811.62 from his uncle. The annuity will pay him four equal payments of $1,100 at the end of each year. The annuity fund is offering a return of . B. Anthony’s friend, Jack, wants to go to business school. While his father will share some of the expenses, Jack still needs to put in the rest on his own. But Jack has no money saved for it yet. According to his calculations, it will cost him $32,406 to complete the business program, including tuition, cost of living, and other expenses. He has decided to deposit $4,200 at the end of every year in a mutual fund, from which he expects to earn a fixed 10% rate of return. It will take approximately for Jack to save enough money to go to business school.
- Problem 2. Dean Sundaram is expected to retire in 30 years and he wishes to accumulate $800,000 in his retirement fund by that time (t=30). If the interest rate is 12% per year, how much should Dean Sundaram put into the retirement fund each year (at the end of each year, from t=1 to t=30) in order to achieve this goal?9. Implied interest rate and period Consider the case of the following annuities, and the need to compute either their expected rate of return or duration. Ryan inherited an annuity worth $3,280.16 from his uncle. The annuity will pay him five equal payments of $800 at the end of each year. The annuity fund is offering a return of Ryan's friend, Sebastian, wants to go to business school. While his father will share some of the expenses, Sebastian still needs to put in the rest on his own. But Sebastian has no money saved for it yet. According to his calculations, it will cost him $30,044 to complete the business program, including tuition, cost of living, and other expenses. He has decided to deposit $4,200 at the end of every year in a mutual fund, from which he expects to earn a fixed 7% rate of return. It will take approximately for Sebastian to save enough money to go to business school.PART C.) In planning for your retirement, you expect to save $5,000 in year 1, $6,000 in year 2, and amounts increasing by $1,000 each year through year 20. If your investments earn 7% interest per year, what is your retirement account worth at year 20?
- Suppose you deposited $39,000 in a bank account that pays 5.25% with daily compounding based on a 360-day year. How much would be in the account after 8 months, assuming each month has 30 days? Select the correct answer. O a. $40,389.07 O b. $40,375.67 O c. $40,402.47 d. $40,368.97 Oe. $40,382.37Your retired client has accumulated investment and retirement assets totaling $7,194,000. Assume the client expects to live for another 29 years and that he assumes an annual inflation rate of 1.79 percent. To leave his heirs the future value of the $7,194,000 at the end of the 29 years, the value of the assets at that time would need to grow to $_____. (Please write the answer in "Your Answer" box). Round the answer to two decimal places.Sarah Wiggum would like to make a single investment and have $2.0million at the time of her retirement in 35years. She has found a mutual fund that will earn 4 percent annually. How much will Sarah have to invest today? If Sarah earned an annual return of 14 percent, how soon could she then retire? a. If Sarah can earn 4 percent annually for the next 35 years, the amount of money she will have to invest today is $_____________(Round to the nearest cent.)