the desired fund of F. Assuming that the fund continues to earn the effective annual interest rate of 5%, find X. a) 113 b) 123 c) 133 d) 143 e) 153
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- A lump sum S deposited into either fund X or fund Y will be exactly sufficient to provide a perpetuity of $100 per year with the first payment due at the end of one year. Fund X will earn interest at an effective annual rate of 10% for the first 30 years and 6% thereafter. Fund Y will earn interest at a level effective annual rate of j. In which of the following ranges is j? someone help?an electrical engineer desires to set up fund by making uniform monthly end of period deposits for a decade. The fund will provide 250000 php at the end of each of the last 3 yrs of the entire period . If the interest is 6% compounded monthly, what is the monthly payable?To supplement your retirement, you estimate that you need to accumulate $290,000 exactly 41 years from today. You plan to make equal, end-of-year deposits into an account paying 8% annual interest. a. How large must the annual deposits be to create the $290,000 fund by the end of 41 years? b. If you can afford to deposit only $800 per year into the account, how much will you have accumulated in 41 years?
- To supplement your planned retirement in exactly 42 years, you estimate that you need to accumulate $220,000 by the end of 42 years from today. You plan to make equal annual end-of-year deposits into an account paying 8 percent annual interest.a. How large must the annual deposits be to create the $220,000 fund by the end of 42 years?b. If you can afford to deposit only $600 per year into the account, how much will you have accumulated by the end of the forty-second year?You plan to prepare for retirement by making monthly contributions $1,500 to a savings account that pays 10% interest per year, compounded continuously. 4. Determine the accumulated savings in this account after 30-year (360-month) investment. The accumulated savings in Part (a) will be used to provide a monthly annuity for the next 10 years after 30-year investment. What is the amount of the annuity if the interest rate and compounding frequency do not change? (a) (b)You need to have 80,000 at the end of 7 years. To accumulate this sum, you havedecided to save a certain amount at the end of each of the next 7 years and deposit it inthe bank. The bank pays 11 percent interest compounded annually for long-termdeposits. How much will you have to save each year?
- A company wants to have $20,000 at the beginning of each six month period for the next 4 1/2 years. If an annuity is set up for this purpose, how much must be invested now if the annuity earns 6.04%, compounded semi annually? (a)Decide whether the problem relates to an ordinary annuity or an annuity due. (B)Solve the problem. (round your answer to the nearest sent)An investor requires an annual (year-end) income of $15,000 in perpetuity. Assuming a fixed rate of interest of 4% each year, and ignoring administrative charges, what is the sum required now to purchase the annuity? Give your answer to the nearest $. 2. A saver invests $1,500 now and at the end of each of the next 4 years. If the interest rate is 6%, what is the present value (to 2 decimal places) of this investment? (Use tables)Nick can invest $10,000 in either one of two annuities. Annuity A has a 6% annual interest rate and requires a starting principal of $9,000, plus annual $100 deposits for the next 10 years. Annuity B has a 12% annual interest rate and requires a starting principal of $9,000, plus annual $200 deposits for the next 5 years. What is the difference between the final balances of the two annuities?
- Computing the Future Value of an Annuity Stone will deposit $8,250 at the beginning of each year for 10 years in a fund that earns 5%, compounded annually. What is the total amount of the fund at the end of 10 years? Round your answer to the nearest whole number. Do not use a negative sign with your answer. $ AnswerFind the periodic payments PMT necessary to accumulate the given amount in an annuity account. (Assume end-of-period deposits and compounding at the same intervals as deposits. Round your answer to the nearest cent.) $70,000 in a fund paying 2% per year, with monthly payments for 10 years PMT = $ ___Find the periodic payments PMT necessary to accumulate the given amount in an annuity account. (Assume end-of-period deposits and compounding at the same intervals as deposits. Round your answer to the nearest cent.) $30,000 in a fund paying 5% per year, with monthly payments for 5 years, if the fund contains $10,000 at the start PMT = $