You just won a special lottery which will entitle you to an annual payment $45000 for 10 years, but the first payment won't start until 5 years later (i.e. 1st payment at the end of the 5th year). If you plan to immediately deposit every payment into an annuity product that gives you 5.62% APR with annual compounding, how much is your account balance at
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You just won a special lottery which will entitle you to an annual payment $45000 for 10 years, but the first payment won't start until 5 years later (i.e. 1st payment at the end of the 5th year). If you plan to immediately deposit every payment into an
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- 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.) 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.You would like to have enough money saved to receive a $90,000 per year perpetuity after retirement. The annual interest rate is 8 percent. Required: How much would you need to have saved in your retirement fund to achieve this goal? a) Assume that the perpetuity payments start on the day of your retirement. b) Assume that the perpetuity payments start one year from the date of your retirement.A friend who owns a perpetuity that promises to pay $1,000 at the end of each year, forever, comes to you and offers to sell you all of the payments to be received after the 25th year for a price of $1,001. At an interest rate of 10%, should you pay the $1,000 today to receive payment numbers 26 and onwards? What does this suggest to you about the value of perpetual payments?
- As part of your retirement plan, you have decided to deposit $6,000 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? $70846.77 (b) How much (in $) would the account be worth after 20 years? $166058.91 (c) When you retire in 30 years, what will be the total worth (in $) of the account? $294016.07 (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? $28460.95 (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.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. $It is estimated that you will pay about $80,000 into the Social Security system (FICA) over your 40-year work span. For simplicity, assume this is an annuity of $2,000 per year, starting with your 26th birthday and continuing through your 65th birthday. Solve, a. What is the future equivalent worth of your Social Security savings when you retire at age 65 if the government’s interest rate is 6% per year? b. What annual withdrawal can you make if you expect to live 20 years in retirement? Let i= 6% per year.
- You have just won the lottery and took a lump sum payout. After talking with a financial adviser you will make an lump sum deposit into an annuity that pays 3.3%, compounded semi-annual. If you will defer payments for 31 years and then receive payments at the end of every six months in the amount of $16,000.00 for 15 years. How much must you put into the annuity today to make this happen?You must deposit $ from your lottery winnings. (Round to 2 decimal places.)Mr. Lucky just won the lottery. He has a choice of $1,000,000 today or a $50,000 semi-annual payment (every six months) for 15 years, with the first payment six months from today. What rate of return is built in the annuity? Group of answer choices 7.86 % 3.78% 5.69 % 8.08% 4.99%You are offered an annuity that will pay $11,000 per year for 24 years (the first payment will occur one year from today). If you feel that the appropriate discount rate is 12%, what is the annuity worth to you today? $914,490.09 $1.299,707.65 $95,902.77 $1,455,672.57 $85.627.47 You are told that if you invest $10,900 per year for 12 years (all payments made at the end of each year) you will have accumulated $670,000 at the end of the period. What annual rate of return is the investment offering? 29.99% 23.63% 20.63% 26.99% 33.44%
- 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 AncworlOn january 1, 2010, you put 1000.00 in a savings account that pays 6(1)/(4)% interest, and you will do this every year for the next 18 years. Withdraw the balance on December 31 , 2028 , to pay for your child's college education. How much will you withdraw?