Payments of 1000 are invested at the end of each year for 5 years. The payments earn interest at an annual effective rate of 10%. The interest can be reinvested at an annual effective rate of 6% in the first 4 years and at an annual effective rate of k thereafter. The amount in the fund at the end of 5 years is 6000. Calculate k.
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i got stuck on answering this question on the part of the equation that is supposed to calculate for the value of the investment with the annual effective rate of k
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- Find the amount of each payment to be made into a sinking fund which earns 8% compounded quarterly and produces $49,000 at the end of 4.5 years. Payments are made at the end of each period. The payment size is $ . (Round to the nearest cent.)Find the amount of each payment to be made into a sinking fund which earns 8% compounded quarterly and produces $44,000 at the end of 3.5 years. Payments are made at the end of each period. The payment size is $_If $100 is deposited in a fund at the beginning of each 3 months for 8 years and the money is invested at 5% compounded quarterly, how much is the fund (a) at the end of 7 3/4 years just after the payment due then is made (b) at the end of 8 years?
- A fund is being formed by monthly deposit of P2,000 at 6% compounded monthly a) Find the amount after a year b) What is the amount in the fund just after the 5 deposit? c) Construct the sinking fund schedule for a 5 month period.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?i. 100 is deposited into an account at the beginning of every 4-year period for 40 years.The account credits interest at an annual effective rate of i.The accumulated value in the account at the end of 40 years is X, which is 5 times the accumulated value at the end of 20 years.Calculate Xii. An investment requires an initial payment of 10,000 cedis and annual payment of 1000cedis at the beginning of each year for ten years. Starting at the end of the eleventh year, the investment returns five equal payment of X.Determine the value of X to yield an annual effective rate of interest at 10% over the 15-year period.(B) i. The present value of a series of $5 at the beginning of the investment period
- 3) Payments of $2500 made at the beginning of each semiannual period for 15 years at 4% compounded semiannually Find the amount of each payment to be made into a sinking fund so that enough will be present to accumulate the following amount. Payments are made at the end of each period. The interest rate given is per period. Please show all the workings.A sinking fund amounting to $21,000 is to be created by making payments at the beginning of every year for 6 years. Interest earned by the fund is 5.9% compounded annually. Determine the size of the penodic payment and compute the interest earned during the fourth payment interval. Verify your answer by checking the sinking fund schedule. The size of the payment is S3) Payments of $2500 made at the beginning of each semiannual period for 15 years at 4% compounded semiannually Find the amount of each payment to be made into a sinking fund so that enough will be present to accumulate the following amount. Payments are made at the end of each period. The interest rate given is per period. Please show all workings step by step
- Find the amount of each payment to be made into a sinking fund earning 7% compounded monthly to accumulate $66,000 over 6 years. Payments are made at the end of each period. The payment size is $ (Round to the nearest cent.)Find the amount of each payment to be made into a sinking fund earning 8% compounded monthly to accumulate $51,000 over 8 years. Payments are made at the end of each period The payment size is s (Do not round until the final answer. Then round to the nearest cent.) TEAt the end of every six months for 20 years, it gains value with an annual effective interest rate of 10%. Continuous payments are made to a fund as 500, 1000, 500, 1000, …, respectively. Calculate the amount accumulated in the fund at the end of twenty years?