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A man is planning to retire in 20 years.
He wishes to deposit a regular amount every three
months until he retires, so that, beginning one year
following his retirement, he will receive annual payments
of $95,000 for the next 18 years. How much
must he deposit if the interest rate is 8% compounded
quarterly?
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- You want to invest $8,000 at an annual Interest rate of 8% that compounds annually for 12 years. Which table will help you determine the value of your account at the end of 12 years? A. future value of one dollar ($1) B. present value of one dollar ($1) C. future value of an ordinary annuity D. present value of an ordinary annuityTo supplement your retirement, you estimate that you need to accumulate $290,000 exactly 41 years from today. You plan to make equal, end-of-year deposits into an account paying 8% annual interest. a. How large must the annual deposits be to create the $290,000 fund by the end of 41 years? b. If you can afford to deposit only $800 per year into the account, how much will you have accumulated in 41 years?As part of your retirement plan, you have decided to deposit $6,000 at the beginning of each year into an account paying 5% interest compounded annually. (Round your answers to the nearest cent.) (a) How much (in $) would the account be worth after 10 years? $ (b) How much (in $) would the account be worth after 20 years? $ (c) When you retire in 30 years, what will be the total worth (in $) of the account? $ (d) If you found a bank that paid 6% interest compounded annually rather than 5%, how much (in $) would you have in the account after 30 years? $ (e) Use the future value of an annuity due formula to calculate how much (in $) you would have in the account after 30 years if the bank in part (d) switched from annual compounding to monthly compounding and you deposited $500 at the beginning of each month instead of $6,000 at the beginning of each year.
- After retirement, you expect to live for 25 years. You would like to have a $95,000 income each year. The annual interest rate is 9 percent per year. Required: Calculate the amount of savings you have in your retirement account to receive this income. A) Assume that the payments start on the day of your retirement. B) Assume that the payments start one year after the retirement.As part of your retirement plan, you have decided to deposit $9,000 at the beginning of each year into an account paying 3% interest compounded annually. (Round your answers to the nearest cent.) (a) How much (in $) would the account be worth after 10 years? $ (b) How much (in $) would the account be worth after 20 years? $ (c) When you retire in 30 years, what will be the total worth (in $) of the account? $ (d) If you found a bank that paid 6% interest compounded annually rather than 3%, how much (in $) would you have in the account after 30 years? $ (e) Use the future value of an annuity due formula to calculate how much (in $) you would have in the account after 30 years if the bank in part (d) switched from annual compounding to monthly compounding and you deposited $750 at the beginning of each month instead of $9,000 at the beginning of each year. $ Submit Ancworla. You plan to invest $5,000 in an individual retirement arrangement today at a nominal annual interest rate of 10%, which is expected to apply to all future years. 1. How much you will have in the account at the end of 15 years if interest is compounded (1) annually? (2) Semiannually? (3) Quarterly and (4) daily (assume a 365-day a year)? 2. Compute effective annual rate and explain the relationship exists between compounding frequency and the nominal and effective annual rates ?
- How much must you deposit each year into your retirement account starting now and continuing through year 10 if you want to be able to withdraw $90,000 per year forever, beginning 29 years from now? Assume the account earns interest at 14% per year. The amount to be deposited is determined to be $________ .You plan to make a series of deposits in an individual retirement account. You will deposit $1,000 today, $2,000 in two years, and $2,000 in five years. If you withdraw $1,500 in three years and $1,000 in seven years, assuming no withdrawal penalties and all deposits and withdrawals are done at the start of specific year, how much will you have after eight years if the interest rate is 7 percent?You are investing in a retirement account and plan to deposit $5,000 per year into the account for the next 20 years, starting from today. The account offers an annual interest rate of 6%. How much money will you have in your retirement account at the end of the 20-year period?
- A man is planning to retire in 20 years. Money can be deposited at 6% interest compounded monthly, and it is also estimated that the future general inthstion (f) rate will be 4% compounded annually What amount of end-of month deposit must be made each month until the man retires so that he can make annual withdrawals of $60,000 in terms of today's dollars over the 15 years following his retirement? (Assume that his first withdrawal occurs at the end of the frst six months after his retirement) The required equal monthly deposit is S (Round to the nearest dollar)As part of your retirement plan, you have decided to deposit $9,000 at the beginning of each year into an account paying 5% interest compounded annually. (Round your answers to the nearest cent.) Explain A-E (a) How much (in $) would the account be worth after 10 years? $ (b) How much (in $) would the account be worth after 20 years? $ (c) When you retire in 30 years, what will be the total worth (in $) of the account? $ (d) If you found a bank that paid 6% interest compounded annually rather than 5%, how much (in $) would you have in the account after 30 years? $ (e) Use the future value of an annuity due formula to calculate how much (in $) you would have in the account after 30 years if the bank in part (d) switched from annual compounding to monthly compounding and you deposited $750 at the beginning of each month instead of $9,000 at the beginning of each year. $C. Fred is planning on retiring this year. How much must his retirement account have in it this year in order to make a $40,000 payment each year for the next 30 years to meet his needs assuming that the appropriate interest rate is 8%?*