An employee plans to retire in 30 years and wants to create a personal retirement fund where he can deposit a constant amount every 3 months until his retirement date, in order to be able to initiate a series of annual withdrawals of magnitude $ 60,000 for the next 20 years after it. Assume that withdrawals from the account start exactly one year after the last deposit, and that the deposits stop on the same day as their ithdra wal Detormine themagnit
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- Giselle wants to withdraw $7500 at the beginning of every three months for 20 years starting on the day of her retirement. If she will retire in 24 years and interest is 3.95% compounded quarterly, how much must she deposit into an account at the beginning of every quarter for the next 24 years starting now? Show all inputs and any other necessary work below. This question requires two separate steps. Show all inputs for both steps and any other necessary work. P/Y = P/Y = C/Y = C/Y = N = N = IY = I/Y = PV = PV = PMT = PMT = FV = FV = Final Answer: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 OThe worker aged 45 wishes to accumulate a fund for retirement by depositing 100EUR at the beginning of each month for 20 years. Starting at age 65 the worker plans to make monthly withdrawal at the beginning of each month for next 15 years. Assuming that each payments are certain to be made, find the amount of each withdrawal if the effective rate of interest is 5% during the first 10 years but only 3% thereafter. Also, solve this problem assuming that he will spend 4000EUR being exactly 65.
- A worker age 40 wishes to accumulate a fund for retirement by depositing $3000 at thebeginning of each half a year for 25 years. Assuming all payments are certain to be made, findthe amount he will pay, if the effective interest rate is 8% compounded annually.A person has an individual retirement account that they contribute | . $2,150 to annually at the end of each year. The person wants to retire after making 35 annual contributions to the account. Assuming that the account earns 12% interest annually, using the Future Value of an Annuity of 1 table, compute the value of the account on the date of the final contribution (35 years from the present).A self employed individual, Jimmy Carpenter, is opening a retirement account at a bank. His goal is to accumulate P2726289 in the account by the time he retires from work in 20 years. A local bank is willing to open a retirement account that pays 10% interest compounded semiannually, throughout the 20 years. He wishes to start with a deposit at the end of the end of 1st semiannual and increase the deposit by 5% per semiannual thereafter. What should be the size of his first semiannual deposit? note: with solution and formula
- “Sunrise Industries wishes to accumulate funds to provide a retirement annuity for its vice president of research, Jill Moran. Ms. Moran, by contract, will retire at the end of exactly 12 years. Upon retirement, she is entitled to receive an annual end-of-year payment of $42,000 for exactly 20 years. If she dies prior to the end of the 20-year period, the annual payments will pass to her heirs. During the 12-year “accumulation period,” Sunrise wishes to fund the annuity by making equal, annual, end-of-year deposits into an account earning 9% interest. Once the 20-year “distribution period” begins, Sunrise plans to move the accumulated monies to an account earning a guaranteed 12% per year. At the end of the distribution period, the account balance will equal zero. Note that the first deposit will be made at the end of year 1 and that first distribution payment will be received at the end of year 13.TO DOa. How large a sum must Sunrise accumulate by the end…Your local bank is offering a new type of retirement savings account. An initial deposit is made to the account when it is opened. This money and any accumulated interest must be left in the account for 28 years. No additional deposits can be made. On the day the account is opened and on each annual anniversary of the initial deposit, the account balance is reviewed and the following terms apply: 1. If the account balance is less than or equal to $20,000, interest for the next annual period is 7 %/year compounded annually. 2. If the account balance is greater than $20,000 but less than or equal to $40,000, interest for the next annual period is 10%/year compounded quarterly. 3. If the account balance is greater than $40,000, interest for the next annual period is 12%/year compounded monthly. You decide to open an account under these terms today with $9,400. How much money will you withdraw when the account is closed 28 years from today? $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…
- You MUST use the TI BA II calculator features (N, I/Y, PV, PMT, FV, AMORT) to solve questions whenever possible. 1. Seanna O'Brien receives pension payments of $3,200 at the end of every six months from a retirement fund of $50,000. The fund earns 7% compounded semi-annually. What is the size of the final pension payment? 2. For how many years will Prasad make payments on the $28,000 he borrowed to start his machine shop if he makes payments of $3,400 at the end of every three months and interest is 8.08% compounded semi-annually?Claire Fitch is planning to begin an individual retirement program in which she will invest $1,500 at the end of each year. Fitch plans to retire after making 30 annual investments in the program earning a return of 10%. What is the value of the program on the date of the last payment (30 years from the present)?Sunrise Industries wishes to accumulate funds to provide a retirement annuity for its vice president of research, Jill Moran. Ms. Moran, by contract, will retire at the end of exactly 12 years. Upon retirement, she is entitled to receive an annual end-of-year payment of $42,000 for exactly 20 years. If she dies prior to the end of the 20-year period, the annual payments will pass to her heirs. During the 12-year “accumulation period,” Sunrise wishes to fund the annuity by making equal, annual, end-of-year deposits into an account earning 9% interest. Once the 20-year “distribution period” begins, Sunrise plans to move the accumulated monies to an account earning a guaranteed 12% per year. At the end of the distribution period, the account balance will equal zero. Note that the first deposit will be made at the end of year 1 and that first distribution payment will be received at the end of year 13. How much would Sunrise have to deposit annually during the accumulation period if Ms.…