£15,500 is invested at time t=0 and a further 6,800 at time t=6. Calculate the value of the fund after 21 years if the rates of interest applicable during this period are 1.7% per month effective for the first 11 years, and thereafter 8.7% per annum nominal payable q
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£15,500 is invested at time t=0 and a further 6,800 at time t=6. Calculate the value of the fund after 21 years if the rates of interest applicable during this period are 1.7% per month effective for the first 11 years, and thereafter 8.7% per annum nominal payable quarterly for the remaining years
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- What sinking fund payment is required at the end of each 6-month period, at 6% interest compounded semi-annually, to amount to P120,000 in 4 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.Six annual regular payments of £7,250 are paid into a fund that paysinterest of 3.4% per annum. What will be the value of this investmentafter 6 years, if payments are made at the end of each year? Youranswer should be accurate to three decimal places.Note that a step-by-step method is not acceptable. Calculate the value of the investment after six years in part(e) i. aboveif the payments are made at the beginning of each year. Your answershould be accurate to two decimal places.
- 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 sinking fund of $100,000 is to be established with equal payments at the end of each half-year for 15 years. Find the amount of each payment if money is worth 10% compounded semiannually.The amount of $574 is invested monthly at 6% compounded monthly for six years. The balance in the fund is then converted into an annuity paying $3600 at the end of every three months. If interest on the annuity is 5.9% compounded quarterly, for how many months is the term of the annuity?
- Deposits of 10 are placed into a fund at the end of each year for 18 years with the first deposit occurring at t = 8. The effective annual interest rate is 7%. Calculate the present value of the series of payments. O 71.41 67.03 O 62.64 O 58.26 O 75.80Find the amount of each payment to be made into a sinking fund which earns 7% compounded quarterly and produces $32,000 at the end of 2.5 years. Payments are made at the end of each period. The payment size is $ (Round to the nearest cent.)If P50 was invested at 6% on January 1, year 1, what equal year-end withdrawals(P) could be made each year for ten years, leaving nothing in the fund after the tenth withdrawal?
- An investment consists of a uniform series of 9 payments of $1,000 each at the end of the first year through the end of the ninth year. At the end of 10 years, an amount of $14,193 will be paid to the investor. What is the annual internal rate of return on the investment?An investor pays £80 at the start of each month into a 25-year savings plan. The contributions accumulate at an effective rate of interest of 3% per half-year for the first 10 years, and at a force of interest of 6% per annum for the final 15 years. Calculate the accumulated amount in the savings plan at the end of 25 years.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