Francis deposits P 100,000 into a fund today and P 200,000 fifteen years later. Interest is credited at a nominal discount rate of d compounded quarterly for the first 10 years, and at a nominal interest rate of 6% compounded semiannually thereafter. The accumulated balance in the fund at the end of 30 years is 1,000,000.
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Note: d is a nominal rate so to avoid confusion you may want to write this as d^(4) first.
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- Payments of $4,000 are made into a fund at the beginning of each year for ten years. The fund is invested at an annual effective rate of i. The interest generated is reinvested at 13%. The total accumulated value at the end of the ten years is $110,000. Find i. (Round your answer to two decimal places.)Shawn made equal deposits at the beginning of every 3 months into an RRSP. At the end of 10 years, the fund had an accumulated value of $55,000. If the RRSP was earning 2.25% compounded monthly, what was the size of the quarterly deposits? $1,202.18 (x) $1,222.80 Round to the nearest centTheodore makes beginning of year deposits of 3000 for 10 years into a fund earning interest at an annual effective interest rate of 5%. At the end of each year, the interest earned is deposited into a second fund earning interest at an annual effective interest rate of 6%. Find the total accumulated value of his assets at the end of 10 years.
- Jeff deposits 10 into a fund today and 20 fifteen years later. Interest for the firstten years is credited at a nominal discount rate of d compounded quarterly, and thereafterat a nominal interest rate of 6% compounded semiannually. The accumulated balance in thefund at the end of 30 years is 100. Calculate d.Shane contributed $2,250 at the end of every 3 months into an RRSP fund earning 2.41% compounded quarterly for 11 years. a. What is the future value of the fund at the end of 11 years? b. What is the amount of interest earned over this period?Bill makes deposits of 2,700 at the end of each year for n years into a fund. At time n, he uses the accumulated value of the fund to purchase an annuity immediate that makes payments of 197,909.20 at the end of each year for 5 years. The annual effective interest rate is 15%. Calculate n. O a. 26 O b. 29 O c. 28 O d. 24 O e. 22
- Blake contributed $658 at the end of every 3 months into an RRSP fund earning 2.3% compounded quarterly for 9 years. What is the amount of interest earned over this period? Round to the nearest cent Answer:$2,950 was deposited at the end of every six months for 8 years into a fund earning 4.5% compounded semi-annually. After this period, the accumulated money was left in the account for another 7 years at the same interest rate. a) Calculate the accumulated amount at the end of the 15-year term. $ b) Calculate the total amount of interest earned during the 15-year period.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. $49,000; money earns 4% compounded semiannually for 13.5 years
- An engineer wishes to set up a special fund by making uniform semiannual end-of-period depositsfor 20 years. The fund is to provide P25,000 at the end of each of the last five years of the 20-yearperiod. The interest is 8% compounded semiannually.Note: Make a cashflow diagram.Miguel contributed $300 at the end of every 3 months into an RRSP fund earning 2.84% compounded quarterly for 10 years. a. What is the future value of the fund at the end of 10 years? Round to the nearest cent b. What is the amount of interest earned over this period? Round to the nearest cent ↑Equal deposits are made into a sinking fund at the end of each year for seven years. Interest is 11.71% compounded annually, and the maturity value of the fund is $23,000. a.) Calculate the size of the annual deposits. b.) Calculate the increase in the fund for the fourth year.