For the last 15 years Joseph has deposited $4500 at the end of every six months into an account paying 6.5% compounded semi-annually.He now converts the accumulated amount into a retirement income fund which will ear interest at 5.25% compounded monthly. Joseph plans to receive equal payments at the end of every six months from this fund for the next 10 year. Determine the size of each payment.
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For the last 15 years Joseph has deposited $4500 at the end of every six months into an account paying 6.5% compounded semi-annually.He now converts the accumulated amount into a retirement income fund which will ear interest at 5.25% compounded monthly. Joseph plans to receive equal payments at the end of every six months from this fund for the next 10 year. Determine the size of each payment.
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- Miguel's retirement fund has an accumulated amount of $50,000. If it has been earning interest at 4.25% compounded monthly for the past 22 years, calculate the size of the equal payments that he deposited at the beginning of every 3 months. Round to the nearest centManuel is preparing for an income fund for his retirement. He wants to receive P 15 500 at the beginning of each month for the next 25 years. The income fund pays 10.5% per year compounded monthly. How much must Manuel deposit now to pay for the annuity?Geoff has paid $16,000 for a retirement annuity from which he will receive $1,582 at the end of every six months. The payments are deferred for 11 years and interest is 4% compounded semi-annually. (a) How many payments will Geoff receive? (b) What is the size of the final payment? (c) How much will Geoff receive in total? (d) How much of what he receives will be interest?
- Joel makes regular (end of term) deposits into his RRSP (Registered Retirement Savings Plan) that will be converted into an RRIF (Registered Retirement Income Fund) 20 years from now. During retirement Joel would like to receive $5,400 at the end of every six months for 22 years. If interest is 3.28% compounded semi-annually (for both the RRSP and RRIF). Answer the following questions, and round all answers to two decimal places where necessary. 1) How much money should Joel have in his RRIF to receive payments of $5,400 at the end of every six months? P/Y= PV = $ esc P/Y = PV = $ Submit Question 1 2) What payment will Joel have to make at the end of every six months into his RRSP so that there is enough money in his RRIF at the start of his retirement? Q A N C/Y= FI PMT= $ C/Y= PMT= $ 2 W S * X #3 80 F3 E N= D N= FV = $ FV = $ $ 4 Q F4 R LL I/Y = F I/Y = do 5 % T G 6 % % F6 Y & 7 H F7 U 00 * 8 DII FB ( 09 OYou wish to build an independent fund for your retirement planned for your 65th birthday. On your 30th birthday, you will make the first monthly contribution of $200 into the fund that will earn 6%/year compounded annually. You will make your last payment into the fund on your 65th birthday. At age 65, when you retire, you have decided to opt for 30 years of equal bi-weekly payments (one payment every two weeks) from the fund with the first payment starting two weeks after your 65th birthday. How large will each payment be, assuming the fund will still be earning 6%/year compounded annually?Chris has decided to create a retirement fund. He will deposit $250 at the end of each month for the next 20 years. The fund will earn 6.00% compounded monthly. How much will Chris have in his retirement fund at the end of the 20 years?
- Nikolay wants to make annual contributions to his RRSP for the next 30 years. He will increase each annual payment by 1.5%, and the RRSP can earn 9.3% compounded annually. If he wants to accumulate $250,000, what is the amount of his first payment at the end of the year?Additionally complete the following problems (showing all work): i. Joshua plans to retire in 25 years. He will make 15 years of equal monthly payments into his account. Ten years after his last contribution, he will begin the first of 120 (10 years) of withdrawals of $2900 per month. Assume that the retirement account earns interest of 5.4% compounded monthly for the duration of his contributions, the 10 years in between his contributions and the withdrawals, and the 10 years of withdrawals. How large must Joshua's monthly contributions be in order to accomplish his goal? (The parts below will help you work through this problem.) (a) If Joshua wants to fund 10 years of monthly withdrawals of $2900 at 5.4% interest, compounded monthly, how much needs to be in the account? (b) Use your answer from part (b) as future value to find the present value of a compound interest account for the intervening 10 years. (c) This gives you the amount in the account at the end of the 15 years of…Carla Lopez deposits $5, 200 a year into her retirement account. If these funds have an average eaning of 6 percent over the 40 years until her retirement, what will be the value of her retirement account?
- To ensure his retirement income, a 40-year old man plans to purchase annuity when he turns 65. The annuity will pay $7,500 at the end of each month for 20 years, and the value is calculated at 5% interest, compounding monthly. To pay for this annuity, he starts making annual level deposits in a mutual fund, which earns 8% interest each year. He makes the first one right away, and makes deposits at the beginning of each year for 25 years. How much does he need to deposit each year in order to save enough to buy his annuity?Eric and vest $1050 every year in an annuity that pays six. 6% interest compounded annually. Payments will be made at the end of each year. Find the total value of the annuity in 21 years.Frank plans to set aside money for his young daughter's college tuition. He will deposit money in an ordinary annuity that earns 7.2% interest, compounded quarterly. Deposits will be made at the end of each quarter. How much money does he need to deposit into the annuity each quarter for the annuity to have a total value of $71,000 after 16 years?