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 centGeoff 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?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…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.
- 9. Daniel Plans to fund his individual retirement account, beginning at the end of each year with 20 annual deposits of P2,000, which will continue for the next 20 years. If he can earn an annual compound interest rate of 8 percent on his deposits, what will be the amount in the account upon retirement?Sehar has accumulated $245,000 in her retirement savings plan. When she retires in exactly 4 years from today, she will purchase an annuity that will provide end-of-month payments for 20 years. If her funds earn 6% compounded quarterly during both the period of deferral and the annuity period, how much will her Sehar’s monthly payments be during retirement?Mr. King is retired and wishes to set up a 10-year annuity with quarterly payments of $8000 for the care of his disabled son. Find the amount he should deposit today at 6% interest compounded quarterly.
- Chelsea's current annual salary is $60,000. This salary is expected to increase by 4% each year. At the end of each year for the next 20 years, Chelsea plans to deposit 10% of her annual salary in a retirement account is paying 6% interest compounded monthly. Determine the amount Chelsea will have in the account at the end of the 20 years.Seanna O'Brien receives pension payments of $3, 100 at the end of every six months from a retirement fund of $ 47,000. The fund earns 8% compounded semi - annually. (a) How many payments will Seanna receive? (b) What is the size of the final pension payment?Matthew will receive a series of payments at the beginning of each year for 20 years. The first payment is 100. The subsequent 9 payments increase by 5% from the previous payment. After the 10th payment, each payment decreases by 5% from the previous payment. The annual effective interest rate is 7%. Calculate the present value of these payments at the time the first payment is made.