Kenneth decides to put away an amount of R400,00 for 15 years, at the end of every month, towards a retirement annuity that earns interest at 10% per year, compounded monthly. Determine the present value of the annuity?
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Kenneth decides to put away an amount of R400,00
for 15 years, at the end of every month, towards a retirement
per year, compounded monthly. Determine the
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- Manuel 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?Josh invests P500 per quarter for his retirement at 7.3% compounding quarterly for 32 years. He has a choice of making that payment of P500 at the beginning or the end of the quarter (regular annuity or annuity due). In which account will he have more money and by how much?Joe wants to have $50,000 ten years from now to use for a down payment on a house. How much should he deposit each month into an ordinary annuity that pays an annual rate of 4.5% in order to achieve his goal?
- Jake is offered to purchase a perpetuity paying R1000 annually. The required rate of return is 15%. At which price would Jake be indifferent to purchasing or not purchasing this annuity? R.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.You wish to retire after 22 years; at which time you want to have accumulated enough money to receive an annuity of $68,000 a year for 25 years of retirement. During the period before retirement, you can earn 6 percent annually, while after retirement you can earn 4 percent on your money. What annual contribution to the retirement fund will allow you to receive the $68,000 annually?
- Dean Gooch is planning for his retirement, so he is setting up a payout annuity with his bank. He wishes to receive a payout of $1,500 per month for twenty-five years. (a) How much money must he deposit if his money earns 7.3% interest compounded monthly? (Round your answer to the nearest cent.) (b) Find the total amount that Dean will receive from his payout annuity.Dylan is setting up an income fund for his retirement. He would like to receive $12000 every 6 months for the next 30 years. The fund pays 8.8 % per year compounded semi-annually. How much must he pay for the annuity? Formula: PV= = R[1-(1+i)n] 2A 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?
- Mr. Chew, a retiree, expects to live for the next 20 years and would like to receive a regular retirement income by purchasing an immediate annuity. His desired retirement income is $24,000 per year. The regular pay out is paid immediately on purchase of the annuity. The projected rate of return of the annuity product is 2.5%. To purchase the annuity today, how much Mr Chew would require a lump sum 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?Susan Co expects to receive P20,940 at the beginning of each period per year in Social Security payments. Assume that she receives these payments for 28 years and use a rate of 6% per year. Find the present value of her retirement payments.