Suppose you invest $2,500 in a fund earning 15% simple interest. Further suppose that you have the option at any time of closing this account and opening an account earning compound interest at an annual effective interest rate of 9%. At what instant should you do so in order to maximize your accumulation at the end of five years? (Round your answer to two decimal places.) 4.53 years How about if you wish to maximize the accumulation at the end of ten years? (Round your answer to two decimal places.) 4.53 years
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- Question 6: What is the present value of your end-of-year investment of $1,000 per year, with the first cash flow received three years from today and the last one 10 years from today? Use a discount rate of 12 percentREVIEW AND SELF-TEST PROBLEMS Calculating Future Values Assume you deposit $1,000 today in an account that pays 8 percent interest. How much will you have in four years? (See Problem 2.) 4.1 10+h hieth douUse the tables in Appendix B to answer the following questions. A. If you would like to accumulate $2,500 over the next 4 years when the interest rate is 15%, how much do you need to deposit in the account? B. If you place $6,200 in a savings account, how much will you have at the end of 7 years with a 12% interest rate? C. You invest $8,000 per year for 10 years at 12% interest, how much will you have at the end of 10 years? D. You win the lottery and can either receive $750,000 as a lump sum or $50,000 per year for 20 years. Assuming you can earn 8% interest, which do you recommend and why?
- Use the tables in Appendix B to answer the following questions. A. If you would like to accumulate $4,200 over the next 6 years when the interest rate is 8%, how much do you need to deposit in the account? B. If you place $8,700 in a savings account, how much will you have at the end of 12 years with an interest rate of 8%? C. You invest $2,000 per year, at the end of the year, for 20 years at 10% interest. How much will you have at the end of 20 years? D. You win the lottery and can either receive $500,000 as a lump sum or $60,000 per year for 20 years. Assuming you can earn 3% interest, which do you recommend and why?Complete using manaul computation You have 20 years left for your retirement. You wish to accumulate asum large enough by that time which will allow you an annual withdrawalof $100,000 every year for 30 years. The average interest rate betweennow and the 20th year is likely to be 4% p.a. From then onwards, forthe next 30 years, it is likely to be 6% p.a.How much should you save in an interest-bearing account at the end ofeach month to be able to have enough money at the time of retirementwhich will allow you your desired withdrawal of $100,000 every yearfor 30 years after retirement? Assume that the interest in theinterest-bearing account is compounded monthly.Required information Problem 10.039 - Retirement account calculations In wisely planning for your retirement, you invest $35,000 per year for 20 years into a 401K tax-deferred account. Assume you make a real retum of 10% per year when the inflation rate averages 3.4% per year. Problem 10.039.a Future dollars in retirement account How many future dollars will you have in the account immediately after your last deposit? You will have $ future dollars in your account immediately after your last deposit.
- What is the present value of a perpetual stream of cash flows that pays $ 7,500 at the end of year one and the annual cash flows grow at a rate of 2% per year indefinitely, if the appropriate discount rate is 9%? What if the appropriate discount rate is 7%? Question content area bottom Part 1 a. If the appropriate discount rate is 9%, the present value of the growing perpetuity is $ enter your response here . (Round to the nearest cent.)Quantitative Problem 1: You plan to deposit $2,300 per year for 5 years into a money market account with an annual return of 2%. You plan to make your first deposit one year from today. What amount will be in your account at the end of 5 years? Do not round intermediate calculations. Round your answer to the nearest cent. $ Assume that your deposits will begin today. What amount will be in your account after 5 years? Do not round intermediate calculations. Round your answer to the nearest cent. $What will be the value of your saving in 4 years with an interest rate of 10% if you invest $120 today, $220 in two years and withdraw $60 in year 4? Select one: a.$441.88 b.$259.08 c.$381.89 d.$541.02
- QUESTION 1 Considering the following scenario. In years 0, 2, 4, 6, and 8, you deposit $750 in your savings account. The saving account earns 4.25% compounded anbually. What is the future value in year 10? 4,847.22 5,411.56 3,579.94 6,411.56How much do you have to deposit today so that beginning 11 years from now you can withdraw $ 15,000 a year for the next 4 years (periods 11 through 14) plus an additional amount of $ 30,000 in the last year (period 14)? Assume an interest rate of 5 percent. Question content area bottom Part 1 The amount of money you have to deposit today is $ enter your response here . (Round to the nearest cent.)QUESTION 41 Compute the missing variable for each of the following alternatives of investments to accumulate $1,000,000. for 30 years @ 6% annual interest rate: Following are appropriate factors from tables: Table % / n Present Value of annuity due $1 Present Value of ordinary annuity of $1 Present value of $1 Future Value of ordinary annuity of $1 6%/30 12.15812 13.76483 .17411 79.05819 One single deposit of $???????? for 30 years. Required Computations: $166,666.66 $174,110 $175,933.83 $126,489