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Betty Jo will make deposits of 500 into a fund at the end of each month for five years. At the end of ten years, she will use the fund to make annual withdrawals of X at the beginning of each year for five years, after which the fund will be exhausted. The annual effective interest rate is 6%. Determine X.
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- Juan invested $10,500 into a fund earning 7.50% compounded monthly. She plans to withdraw $700 from the fund at the end of every quarter. If the first annuity withdrawal is to be made 5 years from now, how long will it take for the fund to be depleted?You deposit $1,000 in a fund at the end of each year for a 10- year period. The fund pays 5% compounded annually. How much money is available to withdraw immediately after your last deposit?Ted Houser wishes to accumulate a fund of $40,000 for the purchase of a house and lot. He plans to deposit $4,000 semiannually at the end of each 6 months. Assuming interest at 14% a year compounded semiannually, how many deposits of $4,000 each will be required, and what is the amount of the last deposit?
- A saver plans to make 25 deposits of 100 at the end of each year. If the interest rate were 6% effective per annum, he would accumulate a fund of amount F on the date of the last payment. The saver makes the first 10 deposits of 100. However, the account only credits an effective annual interest rate of 5%. Therefore, the saver determines that he must increase each of the remaining 15 deposits to X so that he can accumulate the desired fund of F. Assuming that the fund continues to earn 5% effective annual interest, find X.Troy Long wishes to deposit a single sum of money in a savings account so that five equal annual withdrawals of $2,000 can be made before depleting the fund. If the first withdrawal is to occur 1 year after the deposit and the fund pays interest at a rate of 5% compounded annually, how much should he deposit? suppose the first withdrawal does not occur until 3 years after the deposit. How much should be deposited?Cynthia wants to accumulate at least $40,000 by depositing $1,200 at the end of each month into a fund that earns interest at 5.75% compounded monthly. a. How many deposits does she need to make in order to reach her goal? Round to the next payment b. How long will it take Cynthia to reach her goal? year(s) month(s) Express the answer in years and months, rounded to the next payment period
- Garrett wants to accumulate at least $35,000 by depositing $1,500 at the end of each month into a fund that earns interest at 4.5% compounded monthly. a. How many deposits does she need to make in order to reach her goal? Round to the next payment b. How long will it take Garrett to reach her goal? o year(s) o month(s) Express the answer in years and months, rounded to the next payment periodJane decides to make 5 end-of-year deposits of $10,000 into a fund starting one year from now. 6) She plans to withdraw $5,000 each year for 10 years, starting one year after the last deposit and plans to leave the remaining amount in the fund. What would be balance in the fund 5 years after the last withdrawal? The fund pays 5% per year compounded annually.Robert wants to deposit $300 into a fund at the beginning of each month. If he can earn 10% compounded interest monthly, how much amount will be there in the fund at the end of 6 years?
- Cameron invested $11,500 into a fund earning 5.25% compounded quarterly. He plans to withdraw $800 from the fund at the end of every month. If the first annuity withdrawal is to be made 5 years from now, how long will it take for the fund to be depleted? 0 years 0 months Express the answer in years and months, rounded to the next periodCarla 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?Tara wishes to accumulate $29,000 in 5 years. Use the appropriate formula to find the sinking fund payment (in $) she would need to make at the end of each six months, at 4% interest compounded semiannually. (Round your answer to the nearest cent.)
