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- A lump-sum payment of $1,040,000 right now, in which case 45% will be deducted for taxes. We do not know the level of Archie’s investment skills and therefore are unsure what rate of return he will earn on the lump-sum. What is the present value?Answer each of the following independent questions. Ignore personal income taxes. Use Appendix A for your reference. (Use appropriate factor(s) from the tables provided.) Required: 1. Suppose you invest $4,100 in an account bearing interest at the rate of 10 percent per year. What will be the future value of your investment in five years? 2. Your best friend won the state lottery and has offered to give you $11,600 in four years, after he has made his first million dollars. You figure that if you had the money today, you could invest it at 8 percent annual interest. What is the present value of your friend’s future gift? 3. In four years, you would like to buy a small cabin in the mountains. You estimate that the property will cost you $68,500 when you are ready to buy. How much money would you need to invest each year in an account bearing interest at the rate of 4 percent per year in order to accumulate the $68,500 purchase price? 4. You have estimated that your educational expenses…Assuming a tax rate of 30%, a nominal return of 9%, a savings period of 35 years, and an annual deposit of $10,000 into an RRSP, how much will a person have saved for retirement? What is your recommendation regarding when the contributions should be made to the RRSP? Justify your answer using the time value of money
- You have just received a windfall from an investment you made in a friend’s business. You will receive end-of-year cash flows of $14,050, $3,250 and $16,480 for years 1 to 3, respectively. If the annual discount rate is 6%. a) What is the value of your windfall today? b) What is the value of your windfall at the end of year 3?1. Shanice Johnson, of Philadelphia, Pennsylvania, wants to invest $4,000 annually for her retirement 30 years from now. She has a conservative investment philosophy, and expect to earn a return of 3% in a tax-sheltered account. If she took a more aggressive investment approach and earned a return of 5%, how much more would Shanice accumulate? (Hint: use the ordinary annuity formula, as in find the future value of periodic payments made to an interest-bearing account.) 2. List two or three mistakes that people make when planning for retirement. In your opinion, which one might be the most serious one and why? **PLEASE USE THE FORMULA ***1. Shanice Johnson, of Philadelphia, Pennsylvania, wants to invest $4,000 annually for her retirement 30 years from now. She has a conservative investment philosophy, and expect to earn a return of 3% in a tax-sheltered account. If she took a more aggressive investment approach and earned a return of 5%, how much more would Shanice accumulate? (Hint: use the ordinary annuity formula, as in find the future value of periodic payments made to an interest-bearing account.) 2. List two or three mistakes that people make when planning for retirement. In your opinion, which one might be the most serious one and why?
- You have determined that you will need to accumulate $1,000,000 in your retirement account in order to cover your inflation-adjusted shortfall. Which of the following is closest to the amount of money you would need to put into a tax-deferred retirement account every year if you plan on retiring in 40 years? Assume an 8% average return on this account and that it is empty today. Hint: Use TVM calculator $1,458 $3,860 $5,957 $8,444 $25,000Big Refund: Does wise financial planning include getting a large income tax refund each year? Why or why not?You choose to invest your $3,410 income tax refund check (rather than spend it!) in an account earning 5% compounded annually. How much will the account be worth in 30 years? (Use the Table provided.) (Round your answer to the nearest cent.)
- Suppose your principal investment is $1800 and you have a nominal interest rate of 6.5%. what is your nominal interest income? Presume you are taxed at the 22% tax rate, who much will you pay in taxes and what is your after tax nominal income? Presume inflation was 2.7% during the year, what is the loss of principal due to inflation? What is your real interest income? What is after-tax real interest income?Assume an individual makes a lump sum investment at the beginning of year one of $38,420, the present value of which is $38,420. The investor’s discount rate, for an alternative safe investment, is 11.40 percent after tax. The expected return on this investment (received at each year-end) is as follows.Using the same data for 2 parts: Using the following expected interest payments, cost of debt = 5%, and tax-rate = 21% Expected interest year 1 = 50; year 2 = 35; year 3 = 20; year 4 = 10; 5 = 0 Part A) Discount the year 4 expected payment back to time 0 (today). a) 9.31 b) 10.11 c) 13.65 d) 6.50 Part B) Calculate the Tax Shield a) 101.36 b) 46.37 c) 158.33 d) 82.85
