Nominal rates are given compounded quaterly in the
question.
Therefore, we need to divide it by 4 to make effective rate per
quarter
in order to do calculation quaterly.
Gloria deposited $100 into a fund and $200 ten years later. Interest is credited at a...
Eric deposits 200 into a fund today and 400 twenty years later. Interest for the first ten years is credited at a nominal interest rate of 8% compounded quarterly, and thereafter at nominal discount rate of d compounded semiannually. The accumulated value in the fund at the end of thirty years is 4552. Calculate d.
4. Jeff deposits X into a fund today and 100 fifteen years later. Interest is credited at a nominal annual discount rate of 4.5% compounded quarterly for the first 10 years, and at a nominal annual interest rate of 6% compounded semiannually thereafter. The accumulated balance in the fund at the end of 30 years is 400. Calculate X. Give your answer rounded to the nearest whole number. Answer:
4. Jeff deposits X into a fund today and 100 fifteen years later. Interest is credited at a nominal annual discount rate of 4.5% compounded quarterly for the first 10 years, and at a nominal annual interest rate of 6% compounded semiannually thereafter. The accumulated balance in the fund at the end of 30 years is 400. Calculate X. Give your answer rounded to the nearest whole number. Answer:
Jeff puts $100 into a fund that pays an effective annual rate of discount of 20% for the first two years and the force of interest δt = (2t)/(t^2+8), 2 ≤ t ≤ 4 for the next two years. At the end of four years, the amount in Jeff’s account is the same as what it would have been if he put $100 into an account paying interest at the nominal rate of i per annum compounded quarterly for four...
1. You won $100 000 in a lottery and you want to set some of that sum aside for 10 years. After 10 years, you would like to receive $2400 at the end of every 3 months for 8 years. How much of your winnings must you set aside if interest is 5.5% compounded quarterly? 2. A sum of money is deposited at the end of every month for 10 years at 7.5% compounded monthly. After the last deposit, interest...
$5,000 is deposited today into a bank account. The account earns 3.2% per annum compounded half yearly for the first 7 years, then 8.2% per annum compounded quarterly thereafter. Assuming no further deposits or withdrawals are made, (d) Calculate the account balance 10 years from today. A loan of $100,000 is made today. The borrower will make equal repayments of $3800.75 per month with the first payment being exactly one month from today. The interest being charged on this loan...
Consider a 30-year mortgage with an interest rate of 10% compounded monthly and a monthly payment of $850. (1) Calculate the principal. (2) How much of the principal is paid the first, 5th, 20th and last year? (3) How much interest is paid the first, 5th, 20th and last year year? (4) What is the total amount of money paid during the 30 years? (5) What is the total amount of interest paid during the 30 years? (6) What is...
William deposited $7,000 into a fund at the end of every quarter for 9 years. He then stopped making deposits into the fund and allowed the investment to grow for 4 more years. The fund was growing at a rate of 5.00% compounded monthly a. What was the accumulated value of the fund at the end of 9 years? $0.00 Round to the nearest cent b. What was the additional accumulated value of the fund in the last 4 years?
You invested $8,500 at the end of each quarter for 6 years in an investment fund. At the end of year 6, if the balance in the fund was $224,000, what was the nominal interest rate compounded quarterly? Round to two decimal places
How much will be accumulated in a fund, earning 2% interest, if $4,000 is deposited at the end of each year of 4 years? At what growth rate (annual interest rate), it would take a sum to quadruple in 10 years?